1. Select all the true statements.
A. √-I is an imaginary number.
-1
B. There are no real numbers that satisfy the equation x = √√-1.
C. Because √-I is imaginary, no one does math with it.
D. The equation x² = -1 has real solutions.
E. √-T = -1 because -1 -1 = -1.
Answers
Answer:
A , B , D
Step-by-step explanation:
Related Questions
Given parallelogram STUV, what is the length of TV?
Answers
The length of TV would be [tex]y^{2}[/tex] + 2y -1.
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
Given parallelogram STUV,
The length of TW = [tex]y^{2}[/tex]
WV = 2y - 1
The length of TV = TW + WV
= [tex]y^{2}[/tex] + 2y -1
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The set of rational numbers include all the following numbers except...
O √120
6²
O 12.9
O1/3
Answers
Answer:
[tex] \sqrt{120} [/tex]
Step-by-step explanation:
√120 is irrational.
PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. the length TP in cm is:
Answers
Here, ΔTPQ is isosceles and TO is the angle bisector of ∠PTO.
[∵ TP=TQ = Tangents from T upon the circle]
⠀⠀⠀⠀⠀⠀⠀⠀∴ OT⊥PQ
So, PR = RQ = 4cm.⠀⠀⠀
___________________________________________
[tex]\longmapsto{}[/tex]By Applying Pythagoras Theorem in ∆OPR :
OR = √OP² - PR²
OR = √5² - 4²
OR = 3cm
__________________________________________
Now,
[tex]\leadsto[/tex]∠TPR + ∠RPO = 90° (∵TPO=90°)
[tex]\leadsto[/tex]∠TPR + ∠PTR (∵TRP=90°)
[tex]\leadsto[/tex]∴ ∠RPO = ∠PTR
⠀⠀
∴ Right triangle TRP is similar to the right triangle PRO. [By A-A Rule of similar triangles]
⟼[tex]\frac{TP}{PO} = \frac{RP}{RO} [/tex]
⟼[tex]\frac{TP}{5} = \frac{4}{3} [/tex]
⟼[tex]TP= \frac{20}{3} [/tex]
Hence you got your answer here.⠀⠀⠀⠀⠀
-MissAbhiCAN SOMEONE HELP ME PLS?????
Answers
You are correct, P(red) = P(green) = 0.25.
If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
5(4 + 4) – 6
5(5(4) – 6) – 6
54 – 6 + 54 – 6
5(4) – 6 + 5(4) – 6
Answers
Is augmented matri invertible if linear system has a unique solution
Answers
An augmented matrix is invertible if the linear system has a unique solution.
What is an augmented matrix?
The augmented matrix is known as a rectangular matrix.
The properties of an augmented matrix includes:
The number of columns is equal to the number of variables in the linear equations. The number of rows is the same as the number of linear equations.The rows of the augmented matrix can be also be interchanged.Note that the inverse of a matrix must be unique
And If A is invertible, then its inverse is unique.
If the linear system is unique, then the augmented matrix is invertible.
Thus, an augmented matrix is invertible if the linear system has a unique solution.
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Point E,F,D are located on circle C
The measure of arc ED is 68 what is the Measure of angle EFD
Answers
The measure of the angle EFD will be 68 degrees. The correct answer is option B.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given that:-
The arc angle is 68 degrees and we need to find the angle EFD.
As it is given in the question that the angle suspended by the arc is 68 degrees so the angle EFD will also be equal to 60 degrees.
Therefore the measure of the angle EFD will be 68 degrees. The correct answer is option B.
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Figure A
Figure B
Figure A is rotated 180°, then reflected across the line.
Figure B is reflected across the line, then rotated 180°.
Which of the following shows the two figures after they are
transformed?
Answers
Answer:
The answer is c
Step-by-step explanation:
look at the picture carefully
Package Express, Inc. operates a small package delivery service in the Jacksonville suburbs. If the company uses a regression equation to forecast total operating costs, the coefficient of the equation's independent variable would correspond to the:
Answers
The coefficient of the equation's independent variable would correspond to the: variable operating cost per delivery.
What is variable operating cost?Variable operating cost can be defined as those cost that varies due to changes in a company or an organization day to day operating activity.
Delivery cost is an example of variables cost because cost of delivery a product or goods depends on the volume or units of the goods.
Therefore the coefficient of the equation's independent variable would correspond to the: variable operating cost per delivery.
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let a,b, and c be real numbers where a ≠ b≠c≠0. which of the following functions could represent the graph below?
Answers
The function will be f(x) = x²(x - a)²(x - b)(x - c). Then the correct option is A.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The graph is given below.
The factor of the function will be
(x - 0), (x - a), (x - b), and (x - c)
Then the function will be
Then the function can be written as
f(x) = x²(x - a)²(x - b)(x - c)
Then the correct option is A.
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Answer:
The answer on Edge is Choice A
Step-by-step explanation:
Which equation has a graph that lies entirely above the x-axis?
y = -(x + 7)² + 7
y= (x-7)²-7
y= (x-7)² +7
y= (x-7)²
Answers
Heyo!
The equation when displayed on a graph that lies entirely above the x-axis would be Option 4) y = (x - 7)^2.
Hope this helps! If so, please lmk! Also, if you have any questions, feel free to comment below. Good luck!
Answer:
Step-by-step explanation:
what are the zero of f(x)=x(x-8)
Answers
The zeroes of the function f(x) = x (x – 8) will be 0 and 8.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The function is given below.
f(x) = x (x – 8)
The zeroes of the function f(x) is given by the factor equals to zero.
Then we have
f(x) = 0
x(x – 8) = 0
x = 0, 8
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Find the highest common factor of 12 and 40
Answers
To find the highest common factor (HCF) between two numbers , first to take HCF of both the numbers.
[tex] \purple {\Large\begin{array}{r | l}2&\underline{12}\\3& \underline{6}\\2&\underline{2}\\&\underline{1}\\\end{array}} \: \: \: \: \: \: \: \: \: \: \: \: \purple {\Large\begin{array}{r | l}2&\underline{40}\\2& \underline{20}\\5&\underline{10}\\2&\underline{2} \ \\ &\underline{1}\\\end{array}}[/tex]
Take every common prime factor between 12 and 40[tex] \red {\large \implies} \large \: 12 \: = \: 2 \: \times \: 3 \: \times \: 2 \: \: \: \: \: \: \: \: \: \: \\ \\ \red {\large \implies} \large \:40 \: = \: 2 \: \times \: 2 \: \times \: 5 \: \times \: 2 \: [/tex]
Finally, identify the factors common to each number and multiply those common factors together.
[tex] \rm\orange {\large \implies} \large \:Common \: factors \: = \: 2 \: \times \: 2[/tex]
[tex]\rm\orange {\large \implies} \large \:HCF = 4[/tex]
Hope this helps!
Match the following reasons with the statements to complete the following proof.
Answers
In order to proof that ∠ ABC + m ∠DBE = 180° the correct proof is given as follows:
m ∠CBD - m ∠DBE - Given ∠ABC, ∠CBD are supplementary - Given by the definition of supplementary angels. m ∠ABC + m ∠CBD = 180° - this is is also based on exterior sides in opposite raysm ∠ABC + m ∠DBE = 180° because of the substituted angles.QEDWhat is a supplementary angle?Supplementary angles comprise of angles that are on a straight line and which must add up to 180°
It is right to state therefore, that ∠ABC, ∠CBD are supplementary angels.
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Gary and Georgia split £56 in the ratio
2:5.
How much money does Georgia get?
Give your answer in pounds (£).
Answers
Answer:
£40
Step-by-step explanation:
sum the parts of the ratio, 2 + 5 = 7 parts
divide the amount by 7 to find the value of one part of the ratio.
£56 ÷ 7 = £8 , then
5 parts = 5 × £8 = £40 ← amount Georgia gets
Out of £56, the money received by Georgia is equivalent to $40.
What is Ratio?
The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given is Gary and Georgia who split £56 in the ratio 2:5.
There are total of 7 parts. This means that £56 is divided equally among the seven parts. Assume that the one part is equivalent to x. Then the cost of 7 parts = 7x. From the question, we can write -
7x = 56
x = 8
Georgia has 5 parts, therefore the money received by Georgia will be = 5 x 8 = 40
Therefore, out of £56, the money received by Georgia is equivalent to $40.
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In the figure, all, and both lines are intersected by transversal & Complete the statements to prove that m≤1 = m25.
allo (given)
m1+m3=180° (Linear Pair Theorem)
m5+ m6=180° (Linear Pair Theorem)
m1+m3= 5+ 6()
m3=m6()
m1 m5 (Subtraction Property of Equality)
Answers
First blank: Substitution or transitive property of equality
Second blank: Subtraction property of equality
A sample of 40 11th graders were asked to select a favorite pattern out of 6
choices. the following display shows what their favorite color patterns were.
the counts have been recorded in the accompanying table according to
pattern and the number of students who selected that pattern. what is the
missing value in the table?
color pattern
frequency
blue on gray
4
green
6
pink polka dots
?
purple
8
red and orange
stripes
7
yellow
3
Answers
the answer is 12
Step-by-step explanation:
which of the following sets of inequalities
Answers
Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The inequality for the red portion is,
slope, m = (-2/-4) = 1/2
y-intercept is 2.
y ≤ (1/2)x + 2
The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2
y-intercept is -1.
y > 2x - 1
Hence, the correct options are 2 and 3.
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Which statement describes the quadratic inequality in factored form that represents the relationship greater than or equal to the quadratic equation containing the point (6, -8) on the boundary and zeros -4 and 10?
Answers
In the equation given, the quadratic inequality that shows the relationship above is: option B. y ≥ 0.2(x + 4)(x - 10).
What is the quadratic inequality about?Note that a quadratic function exist in factored form is as:
y = a(x - a)(x - b)
The zeros of the equation is seen at x = (-4, 10)
Therefore, one need to write an expression for the quadratic inequality and so it will be:
y ≥ a(x - a)(x - b)
Also note that at At point (6, -8), we also have:
-8 = a(6 - (-4))(6 - 10)
-8 = a(6 + 4)(6 - 10)
-8 = a(10)(-4)
-8 = -a(40)
a = 0.2.
Therefore, In the equation given, the quadratic inequality that shows the relationship above is: option B. y ≥ 0.2(x + 4)(x - 10).
See full question below
Which statement describes the quadratic inequality in factored form that represents the relationship greater than or
equal to the quadratic equation containing the point (6, -8) on the boundary and zeros-4 and 10?
Oy2-0.2(x + 4)(x - 10)
Oy≥ 0.2(x + 4)(x - 10)
O y 20.2(x-4)(x + 10)
Oy2-0.2(x-4)(x + 10)
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How much money do I need now if I am going to recieve $5000 every 6 months (starting in 6 months) for 10 years if the interest rates are 4%/a compounded semiannually?
Answers
He needs to have $205783 amount of money to receive $5000 every 6 months for 10 years.
What is Interest ?Interest is the amount of money received , when a certain lump sum amount is deposited.
It is given that the person is receiving ,
Interest = $5000 ,
after six months , every six month
Time Period = 10 years
Interest Rate = 4%
Compounded Semiannual
Let the principal amount be $x
Compound Interest is given by
Amount = P[ 1 + r/n]ⁿˣ
Here x is the time period
Therefore the Amount = x{ 1 +0.04/2}²⁰
x + 5000 *20 = x{ 1 +0.04/2}²⁰
x + 100000 = 1.486 x
x = $205783
Therefore he needs to have $205783 amount of money to receive $5000 every 6 months for 10 years.
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At which point in the business cycle would the unemployment rate begin to increase? 1 2 3 4
Answers
Answer:
2 & 3
Step-by-step explanation:
2. High Interest Rates
High-interest rates make it more difficult for businesses to invest. For instance, a small store that is just starting is going to find it hard to make repayments at an interest rate of 20 or 30 percent. It also sucks out money from the economy and re-directs it to the banks. As the interest rates are so high, businesses and consumers reduce their demand for credit. In turn, there is a contraction in the money supply which can lead to deflation.
The effects of high interest rates can be dire if not managed correctly and subtly by central banks. If the interest rates are increased too fast, too high, and too rapidly, we will see the aforementioned effects such as lower business investment and deflation. Therefore, it can contribute to a transition towards an economic contraction in the business cycle.
3. Declining Real Incomes
Inflation can create a drain on consumer incomes as it decreases its value year on year. Therefore, if firms do not increase wages in line with inflation, the average worker will be able to afford less than before.
If real incomes decline, it means consumers have less income to spend on goods and services in the economy. In turn, a prolonged period of decline in real incomes can contribute to an economic contraction in the business cycle.
Answer
is 3 just did it on edge
Step-by-step explanation:
Which of the following is calculated by finding the product of the length,
width, and height of a prism?
A. Perimeter
B. Surface area
C. Lateral area
D. Volume
Answers
vulume of the following is calculte by finding the product of the lenth,width,and height of a prism
What is the measurable quantity given by its formula with the appropriate units
Answers
Answer:
Where is the formula
Step-by-step explanation:
tch and his brother, Terry, went on a hiking expedition. Starting at sea level, the brothers climbed to a scenic cliff located 6.6 kilometers above them. From there, they descended 1.3 kilometers in one hour. Mitch discovered that he had left behind some essential supplies on the cliff. So, the brothers decide to head back up. They climbed 0.8 kilometer within the next hour. At this point, Mitch and Terry were
away from the scenic cliff.
Answers
Mitch and Terry were 0.5 km away from the scenic cliff
What is Sea Level ?Sea level is the base for calculating the depth and the elevation of Earth
It is given that
Total Height of the scenic Cliff = 6.6km
After 1 hour the brothers are at = 6.6 - 1.3 km = 5.3 km from the sea level.
They climb back 0.8 km in the next hour so they will be
5.3 +.8 = 6.1 km from the sea level
6.6 - 6.1 = 0.5 km
Therefore the brothers are 0.5 km away from the scenic cliff
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7. Which of the verbal descriptions best matches the function below?
f(x)=0.02x+150
Answers
Gene earns 2% interest after depositing $150 into his account , Option D.
What is a Function ?A function is a law that relates an independent variable and a dependent variable with each other.
The function given is
f(x) = 0.02 x +150
Option D , Gene earns 2% interest after depositing $150 into his account
So this verbal description matches the function given as it represents , the total account balance of Gene .
Therefore Option D is the correct answer.
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Solve this question please
Answers
The expansion of the polynomial is given as:
[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The expansion is given as:
[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]
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___________is a relation in which each element of the domain is paired with exactly one element of the range.
Answers
Answer:
A function
Step-by-step explanation:
A function is a relation in which each element of the domain is paired with exactly one element of the range.
The base of the pyramid is a rectangle that is not a
square. Which statements correctly describe the
symmetry of the pyramid? Check all that apply.
The pyramid has four planes of symmetry.
O The pyramid has two planes of symmetry.
An axis of symmetry passes through the vertex and
is perpendicular to the base.
An axis of symmetry passes through the vertex and
through one of the triangular faces of the pyramid.
An angle that measures 90° is an angle of rotation
for an axis of symmetry for the pyramid.
An angle that measures 45° is an angle of rotation
for an axis of symmetry for the pyramid.
Answers
An axis of symmetry passes through the vertex and is perpendicular to the base. Then the correct options are B, C, and E.
What is a rectangular pyramid?Take a rectangle. This is the base. Now take 4 triangles such that each of them are connected to one-one side of the base rectangle and when they're taken together, they form a closed object. That shape is called rectangular pyramid.
The base of the pyramid is a rectangle that is not a square.
The pyramid has two planes of symmetry.
An axis of symmetry passes through the vertex and is perpendicular to the base.
An angle that measures 90° is an angle of rotation for an axis of symmetry for the pyramid.
Then the correct options are B, C, and E.
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Please Help!10.<ADC and <FDA are a linear pair. What is the reason?
Answers
Answer:
Linear pair of angles are formed when two lines intersect each other at a single point. Therefore, <ADC and <FDA are a linear pair.
Step-by-step explanation:
What is equivalent? A B C OR D
please help
Answers
Answer:
[tex]8^{\frac{x}{3} }[/tex]
Step-by-step explanation:
