ответ: д
-1/2 * 16 = -8
или 16/(-2) = -8
Answer: by rewriting equation in the form, / 1\2 16 X 4X 4 f=~1_~) (Do-2)2=g=~
Step-by-step explanation: hope this helps
The length of a rectangle is twice its breadth. If its length is decreased half of the 10 cm and the breadth is increased by half of the 10 cm cm, the area of the rectangle is increased by 5 sq cm, more than 70 sq cm. Find the length of the rectangle.
Also....any armies, stays and blinkss?
Since the length of this rectangle is twice its breadth, the length is equal to 40 cm.
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
Area = Length × Width
Based on the information provided, we have:
Its length is decreased half of the 10 cm ⇒ (length - 5)Its breadth is increased by half of the 10 cm ⇒ (breadth + 5)Its area is increased by 75 cm ⇒ (area + 5)Substituting the parameters into the formula, we have:
LB + 75 = (L - 5)(B + 5)
2B² + 75 = (2B - 5)(2B + 5)
2B² + 75 = 2B(B + 5) - 5(B + 5)
2B² + 75 = 2B² + 10B - 5B - 25
5B = 75 + 25
5B = 100
B = 100/20
B = 20 cm.
For the length, we have:
L = 2B
L = 2 × 20
L = 40 cm.
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8.
36.2
22.3
- 30-
33
Find the value of x.
(Round answer to the nearest tenth when necessary)
44.6
33.2
Answer:
36.2
Step-by-step explanation:
Assuming that the dotted line is a perpendicular bisector, we can say that it splits the side that is 30 units long into 2 sets of 15 units. Then, we can use the pythaogrean theorem to solve (Leg A is 33 and Leg B: 15). a^2+b^2=c^2
33^2+15^2=c^2
1089+225=c^2
1314=c^2
Square root of 1314 = square root of c^2
36.2 aapproximately c
Find the value of x.
Answer:
x = 20°
Step-by-step explanation:
(4x-10)+x=90
4x-10+x=90
4x+x-10=90
5x-10=90
5x=100
x=20
Answer:
20
Step-by-step explanation:
Straight line angles:
Angles on a straight line add up to 180°.
90 + 4x - 10 + x = 180
90 - 10 + 4x + x = 180
Combine like terms.
80 + 5x = 180
Subtract 80 from both sides,
5x = 180 - 80
5x = 100
Divide both sides by 5
x = 100 ÷ 5
[tex]\sf \boxed{x = 20^\circ}[/tex]
Kelly wants to buy a dress that costs $40.00. She has a coupon for 25% off, and
there is a 10% sales tax
How much will she pay altogether?
44 QUES
25% of $40.00 is $
Select
After using the coupon, the sale price is $
Select...
The 10% tax on the sale price is $
Select
The final price is $
Select
A percentage is a way to describe a part of a whole. The amount that Kelly will pay for the dress is $33.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given Kelly wants to buy a dress that costs $40.00. She has a coupon for 25% off, and there is a 10% sales tax. Therefore, the amount she will pay is,
25% of $40.00 is,
0.25 × $40 = $10
After using the coupon, the sale price is,
$40 - $10 = $30
The 10% tax on the sale price is,
0.10 × $30 = $3
The final price is $
$30 + $3 = $33
Hence, the amount that Kelly will pay for the dress is $33.
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Solve for x.
Use the quadratic formula.
2x² - 9x + 8 =0
Answer:
x = 9/4 + 1/4 √17 or x = 9/4 + −1/4 √17
/ = over
Step-by-step explanation:
a = 2, b=-9, c=8
x = −b±√b2−4ac/2a
x = −(−9)±√(−9)2−4(2)(8)/2(2)
x = 9±√17/4
x = 9/4 + 1/4 √17 or x = 9/4 + −1/4 √17
On January 1, 2023, One of Mr. Cutter’s chickens flies away and lands on a Hawaiian Island. She
immediately begins laying and hatching eggs. The chicken population on the island begins to
triple every year. Write and graph a function that represents this situation. How many chickens
will be on the island on January 1, 2033?
Answer:
Step-by-step explanation:
Do you have any options or a graph?
Use trigonometric identities to verify each expression is equal.
c) csc^2(x)-2csc(x)cot(x)+cot^2(x) = tan^2(x/2)
d) [cos(x)cos(y)][tan(x)+tan(y)] = sin(x+y)
Part (c)
[tex]\text{LHS}=\csc^{2} x-2\csc x\cot x+\cot^{2} x\\\\=(\csc x-\cot x)^{2}\\\\=\left(\frac{1}{\sin x}-\frac{\cos x}{\sin x} \right)^{2}\\\\=\left(\frac{1-\cos x}{\sin x})^{2}\\\\=\tan^{2} \left(\frac{x}{2} \right)\\\\=\text{RHS}[/tex]
Part (d)
[tex]\text{LHS}=[\cos x \cos y][\tan x+\tan y]\\\\=[\cos x\cos y]\left[\frac{\sin x}{\cos x}+\frac{\sin y}{\cos y} \right]\\\\=\sin x \cos y+\sin y \cos x\\\\=\sin(x+y)\\\\=\text{RHS}[/tex]
Which of the following terms best describes a vertical line that the graph of a
function approaches but never intersects?
A Horizontal asymptote
B Proportion
C Vertical asymptote
D Inverse variation
Write 3x^2+12x+20 in the form a(x+b)^2+c
The equation is written as 3(x+12)²+20.The formula for ax² + bx + c is (Ax + B)² + C.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
3x^2+12x+20
The equation is compared the equation with,ax²+bx+c
After comparing the equation we get;
a=3
b=12
c=20
The equation is written in the form as;
⇒a(x+b)^2+c
⇒3(x+12)²+20
The formula for ax² + bx + c is (Ax + B)² + C.
Hence the equation is written as 3(x+12)²+20.
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Let a population consist of the values cigarettes, cigarettes, and cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?.
Based on the given mean absolute deviations, the sample mean absolute deviation will be 2 and the population mean absolute deviation will be 3.8.
What is the sample mean absolute deviation?= Sum of sample mean absolute deviation / Number
= (0 + 0.5 + 4.5 + 0.5 + 0 + 4 + 4.5 + 4 + 0) / 9
= 2
What is the population mean absolute deviation:First find the population mean:
= (10 + 11 + 19) / 3
= 13.3
Population mean absolute deviation:
= 1/3 x ( (10 - 13.67) + (11 - 13.3) + (19 - 13.3))
= 3.8
We can therefore see that the sample mean deviations is a biased estimate of the population mean absolute deviation.
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List the angles in triangle JKL in order from largest to smallest.
Answer:
answer is B
Step-by-step explanation:
We know,
Opposite of a big arm has a big angle....the same way you can find the next two....
as 18>16>14
Can someone help me out with this problem
From the given options the options B and C are correct for the given equation.
we have given the equation,
70=10+12r
We have to determine the correct option
What is the equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.
Therefore from the given options the options B and C are correct for the given equation.
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Which statement about proportional relationships is false?
A proportional relationship must graph as a line.
A graph of a proportional relationship must pass through (0, 0).
Each point (or pair) in a proportional relationship must share the same ratio.
O Each point (or pair) in a proportional relationship must share the same difference.
Mark this and return
Save and Exit
Next
Submit
Answer:
Each point (or pair) in a proportional relationship must share the same difference is the false statement.
Section B, Q5
please answer, it is urgent
the nth term of the sequence is 3n + 2. Find the first three terms of the sequence
Answer:
5, 8, 11, ...
Step-by-step explanation:
f(n)=3n+2
the first three terms will be f(1), f(2), and f(3).
f(1)=3(1)+2=5
f(2)=3(2)+2=8
f(3)=3(3)+2=11
Hope this helps!
If not, I am sorry.
1. Given the points A (2, 14) and B (17, -6).
(a) Find the distance of the line AB.
(b) Find the midpoint of the line AB.
(c) Find the gradient of the line AB.
(d) Find the equation of the line AB.
(e) Find the equation of the line parallel to AB passing through the point (3,5).
(f) Find the equation of the line perpendicular to AB passing through point (4,-2).
(g) Draw the above 3 lines on a graph.
Answer:
Step-by-step explanation:
If Bob sells each fish at a profit of $1.25, how much money will he have after selling all 24 fish? Show your calculation.
Best answer receives brainliest
Answer: $30
Step-by-step explanation:
So if Bob sells his fish at a profit of $1.25 and he has 24 fish to sell then 1.25*24= 30
(I'm assuming what you mean by "how much money he will have" is profit)
Answer:
The answer is $30. remove the decimal from the price and multiply it by the amount of fish. then when you finish multiplying add the decimal back in.
Step-by-step explanation:
125
× 24
--------
500
+ 2500
-----------
30.00
if a/b and c/d are rational expressions, then: a/b / c/d = a*b/c*d
if a/b and c/d are rational expressions,a/b / c/d = a*b/c*d is false.
What is the definition of a fraction number?A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has the shape of a numerator and a denominator.
The given rational expression is;
a/b and c/d
Given relation;
[tex]\rm \frac{\frac{a}{b}}{\frac{c}{d}}\\\\ \frac{a d}{bc}[/tex]
When two fractions are divided the number got reversed and multiplied by the fraction.
Hence the given calculation is false.
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Answer: false
Step-by-step explanation: .
Trapezoid GHJK was rotated 180° about the origin to determine the location of G'H'J'K', as shown on the graph. What are the coordinates of pre-image point H?
(2, 3)
(–2, 3)
(3, 2)
(3, –2)
The coordinates of pre-image point H is (3, 2) option third (3, 2) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a trapezoid GHJK that was rotated 180° about the origin.
The rule for 180-degree rotation about the origin:
(x, y) → (-x , -y)
From the graph:
Coordinate of H' is (-3, -2)
(-3, -2) → (3, 2)
Thus, the coordinates of pre-image point H is (3, 2) option third (3, 2) is correct.
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Please help me I need this for exam tomorrow and can u please show the working
Answer:
46,57/4
Step-by-step explanation:
area = π.r^2 = π.(d^2)/4
d^2 = AB^2= 5,6^2+3,9^2 =46,57
----> area = π.46,57/4
georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1. if the length of side dc equals twelve inches, what is the length of side ut in the scale drawing?
The length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
We have:
Georgia drew a scale model of one of the stepping stones in her garden. the two shapes are similar, and the ratio of the lengths of the sides is 4:1.
The length DC = 12 inches
DC/UT = 4/1
12/UT = 4/1
UT = 12/4 = 3 inches
Thus, the length of the UT is 3 inches if the ratio of the lengths of the sides is 4:1. if the length of side DC equals 12 inches,
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Answer:
3 in.
Step-by-step explanation:
Keep it simple :)
Solve for 'x' in the following equation, explaining each step.
3^ (-3x+7) = 3^ (7x-13)
Answer:
x = 2
Step-by-step explanation:
In order to have the two sides of the equation be equal, the exponents must equal.
-3x + 7 = 7x - 13
Add 3x to both sides.
7 = 10x - 13
Add 13 to both sides.
20 = 10x
Divide by 10.
2 = x
Check:
3^(-3•2+7)=3^(7•2-13)
3^1 = 3^1
3 = 3
HELP ME!! FIND X AND Y.
Answer:
x = 26
y = 72°
Step-by-step explanation:
Finding x:Alternates angles are equal.(4x - 16)° = (3x + 10)°
Subtract 3x to both sides
4x - 3x - 16 = 10
x - 16 = 10
Add 16 to both sides
x = 10 + 16
x = 26
Finding y:Angles on a straight lines add up to 180 degrees.(4x - 16)° + y° = 180°
4x - 16 + y = 180
4(26) - 16 + y = 180
104 - 16 + y = 180
88 + y = 180
Subtract 88 to both sides
y = 180 - 88
y = 72°
[tex]\rule[225]{225}{2}[/tex]
NEED HELP ASAP!!!!!
Triangle ABC and DEF are similar. Answer the following questions:
a. What relationship can you write for the angles of these two triangles?
b. What is the length of the missing side?
Answer:
a)<BAC = EDC,<DEC =ABC,ACB=DFE
b)7
Step-by-step explanation:
According to the definition, two triangles are similar if their corresponding angles are congruent and corresponding sides are proportional. Hence, we can find the dimensions of one triangle with the help of another triangle. If ABC and DEF are two similar triangles, then by the help of below-given formulas, we can find the relevant angles and side lengths.
∠A = ∠D, ∠B = ∠E and ∠C = ∠F
AB/DE = BC/EF= AC/DF
Solve 1 2 1 2x = x2 − 7x 10 4x by rewriting the equation as a proportion. which proportion is equivalent to the original equation?
The proportion that is equivalent to the original equation is [tex]\frac{x+1}{2x} =\frac{x^2-7x+10}{4x}[/tex]
Rational expressionsGiven the following expression
[tex]\frac{1}{2} + \frac{1}{2x} =\frac{x^2-7x+10}{4x}[/tex]
In order to find the equivalent proportion, we will find the LCM of the right side expression to have:
[tex]\frac{1}{2} + \frac{1}{2x} =\frac{x^2-7x+10}{4x}\\\frac{x+1}{2x} =\frac{x^2-7x+10}{4x}[/tex]
Hence the proportion that is equivalent to the original equation is [tex]\frac{x+1}{2x} =\frac{x^2-7x+10}{4x}[/tex]
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Answer: For the next part
✔ x = 1 and x = 8
✔ x = 0
For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)
Answer:
-x² + 3x + 7
Step-by-step explanation:
(f-g)(x) = f(x) - g(x) = (3x+1)-(x²-6) = -x² + 3x + 7
The value of (f - g)(x) is -x² + 3x + 7.
What is Function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given functions are;
f(x) = 3x + 1
g(x) = x² - 6
Now,
(f - g)(x) = f(x) - g(x)
= (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
(f - g)(x) = -x² + 3x + 7
Thus, the value of (f - g)(x) is -x² + 3x + 7.
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21 added to a number is the same as 37
Answer:
Step-by-step explanation:
Hi, let me help you out.
First I'm going to turn the verbal phrase into an algebraic phrase...
21+n=37. here n is the unknown number
Next, I believe you need to find what n equals.
This can be done by subtracting 21 from both sides.
n=37-21
n=16
Thus the number we need is 16.
_________________
Hope I helped. Best wishes.
Suppose y varies inversely with x, and y = a when x = a 2. What inverse variation equation relates x and y ?
a.
y = a2xa2x
b.
y = a 3x
c.
y = a3xa3x
d.
y = ax
The variation equation is xy = a^3
How to determine the equation?An inverse variation is represented as:
xy = k
Where k is the constant of variation
When y = a and x =a^2, we have:
k = a * a^2
Evaluate
k = a^3
Substitute k = a^3 in xy = k
xy = a^3
Hence, the equation is xy = a^3
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The graph of y=x^2-4x by drawing the line y=x-4
Answer:
the graph of y=x^2-4x is parabola as shown in the image
Step-by-step explanation:
The graph of [tex]y = x^{2} -4x[/tex] by drawing the line y=x-4
so this gives us that the line y=x-4 satisfies the equation [tex]y = x^{2} -4x[/tex]
To get points put y = x - 4 in the equation [tex]y = x^{2} -4x[/tex]
so we get x -4 = x( x- 4)
x =1 and x - 4 = 0
from here we get x = 1,4
now put these values in y = x -4
From here we get y = -3,0
so the points are (1 , -3) and ( 4 , 0)
Plot these on graph and we get the straight line .
For equation [tex]y = x^{2} -4x[/tex]
As we know it is of type of parabola with shifted centre.
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point-slope equation for perpendicular lines y=-2x-7 that passes through (-2,-3)
Answer: below! ^^
Step-by-step explanation:
Hii, do you need an answer to your question? Let me help you out! (;
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Part 1 ⚜Perpendicular lines have slopes that are opposite inverses of each other.
The slope (m) of the line that is perpendicular to y=-2x-7 is [tex]\sf -\cfrac{1}{2}[/tex].
Part 2 ⚜⚜ Point slope formula[tex]\boldsymbol{y-y1=m(x-x1)}[/tex]
⚜Stick in the known values[tex]\boldsymbol{y-(-3)=-\cfrac{1}{2}(x-(-2)}[/tex]
⚜ Simplify[tex]\boldsymbol{y+3=-\cfrac{1}{2}(x+2)}[/tex]
Voila! There's our answer, cheers! (:
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Hope I helped! Best wishes!
Reach far. Aim high. Dream big.
[tex]\underbrace[/tex]
