Answer:
5/4 is the slope
Step-by-step explanation:
y= 5/4c- 7/4
This is in the slope intercept form
y = mx+b where m is the slope and b is the y intercept
5/4 is the slope and -7/4 is the y intercept
Answer:
5/4
Step-by-step explanation:
This equation is in slope intercept form (y=mx=b) so when interpreting the information we see that the slope is 5/4.
y = y
m = slope
x = x or in this case they use c
b = y intercept
This equation represents a line that intercepts at -7/4 and has a slope of 5/4. This can be checked by plugging in any point on the line for x and y.
Hope this helps!
The complex conjugates theorem states that
another factor of the polynomial is
Answer:
Step-by-step explanation:
...exactly the same but with a different sign separating them. For example, if a root of a polynomial is
3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.
This phenomenon also applies to radicals. If we have a root that is [tex]-3 + \sqrt{5}[/tex][tex]-3 +\sqrt{5}[/tex] then the other root has to be [tex]-3 -\sqrt{5}[/tex]
Answer:
x-3i
Step-by-step explanation:
Jan lost 22 points on her exam. She got 11 questions wrong.
What integer represents the point value of each wrong answer?
Answer:
2
Step-by-step explanation:
22/11=2
Reflect the shape B in the line y=x
please just state ALL the coordinates of the reflected shape
Answer:
See below.
Step-by-step explanation:
A reflection in y = x transforms point according to (x, y) ---> (y, x(, so:
(-1, 1) ----> ( 1, -1).
(-3, 3) ----> (3, -3).
(-1, 4)---> (4, -1)
(-3, 4)-----> ( 4, -3).
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answer:
Option (4)
Step-by-step explanation:
An ordered pair (x, y) represents,
x = number of days that a library book is late
y = Total fee for the delay
Late fee of a library book = $0.30 per day
Then late fee of a book for the delay of 'x' days,
y = per day fee × number of days delayed
y = [tex]0.30\times x[/tex]
Option (1). For (-3, -0.90)
Since number days can't be negative so not the answer.
Option (2). For (-2.5, -0.75)
Number of days are negative so can't be the answer.
Option (3). For (4.5, 1.35)
Fee for 4.5 days will be,
y = 0.30(4) [Since fee is charged after completion of one day or in the midnight]
Fee for 4.5 days will be the same as fee for 4 days.
y = $1.20
Therefore, this option will not be the answer.
Option (4). For (8, 2.40)
y = 0.30x
y = 0.30(8)
y = 2.40
Therefore, option (4) will be the answer.
Answer:
8,2.40
Step-by-step explanation:
A box contains 20 different balls numbered from 1 to 20 (different balls have different numbers). At each step, we select a ball uniformly at random, record the number on it, and put it back in the box. This experiment is repeated 10 times. Find the probability that all the numbers recorded were distinct.
Answer:
P = 0.0655
Step-by-step explanation:
First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:
[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]
Because we have 20 different balls every time and the experiment is repeated 10 times.
Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:
[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]
Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.
Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:
[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]
What is the last step when finding the area of a compound shape?
Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.
Solve for x in the equation x2 - 12x+36-90
0
X=6+3/10
X=6:27
X= 12+3.22
X = 12:3.10
Answer:
The Answer is A) X=6+3/10
Step-by-step explanation:
x = 6 + 3 √ 10 , 6 − 3 √ 10
Decimal Form:
x = 15.48683298 , − 3.48683298
Which statement explains the relationship of sides BA and B'A' after rectangle BADC has been rotated 90° clockwise about the origin?
coordinate plane with rectangle ABCD at A (3,5), B (1,3), C (5,-1), and D (7,1)
Side B'A' has a slope of −1 and is perpendicular to side BA.
Side B'A' has a slope of 1 and is parallel to side BA.
Side B'A' has a slope of 1 and is perpendicular to side BA.
Side B'A' has a slope of −1 and is parallel to side BA.
Answer:
Numbering the options, we have;
1) Side B'A' has a slope of −1 and is perpendicular to side BA.
2) Side B'A' has a slope of 1 and is parallel to side BA.
3) Side B'A' has a slope of 1 and is perpendicular to side BA.
4) Side B'A' has a slope of −1 and is parallel to side BA.
The correct option is;
1) Side B'A' has a slope of -1 and is perpendicular to side BA
Step-by-step explanation:
The given coordinates are;
A(3, 5) B(1, 3), C(5, -1) and D(7, 1)
The slope of BA is found as follows;
[tex]Slope \, of BA= \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}} =\dfrac{3-5}{1-3}= \dfrac{-2}{-2} = 1[/tex]
Rotation of a line through 90 degrees gives
(x, y) will be (y, -x)
Therefore, the coordinates of A' = (5, -3)
The coordinates of B' = (3, -1)
Then the slope is given as follows;
[tex]Slope \, of \, B'A' =\dfrac{-1 -(-3)}{3-5}= \dfrac{2}{-2} = -1[/tex]
Therefore side B'A' has a slope of -1 and is perpendicular to side BA.
Option (4) will be the correct option.
Coordinates of the vertices of rectangle ABCD are,
A(3, 5), B(1, 3), C(5, -1) and D()Slope of a segment with endpoints [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the expression,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of segment BA (m₁) = [tex]\frac{3-5}{1-3}[/tex] = 1
If a point (h, k) is rotated 90° clockwise about the origin, rule to be followed,
(h, k) → (-k, h)
Following this rule,
B(1, 3) → B'(-3, 1)
A(3, 5)→ A'(-5, 3)
Slope of segment B'A' (m₂) = [tex]\frac{1-3}{-3+5}=-1[/tex]
Expression representing two segments with slopes [tex]m_1[/tex] and [tex]m_2[/tex] to be perpendicular,
[tex]m_1\times m_2=-1[/tex]
Since, slopes of two segments BA and B'A' are (1) and (-1).
(1) × (-1) = -1
Therefore, both the segments BA and B'A' will be perpendicular.
Option (4) will be the answer.
Learn more,
https://brainly.com/question/16949200
Topic: Probability
Only complete question 6.
Answer:
see below
Step-by-step explanation:
a) see attached chart
b) sum is 10
There are 3 that total to 10 (4,6) (5,5) and (6,4) and there are 36 possible outcomes
P(10) = number of outcomes that sum to 10 / total number of outcomes
=3/36
= 1/12
c) identical numbers There are 6 that are identical (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)
p(identical) = number of outcomes that are identical / total number of outcomes
=6/36
= 1/6
d product a multiple of 10 ( 5,2) (5,4) (5,6) (2,5) (4,5) (6,5) are the only ones with a product multiple of 10
p(identical) = number of outcomes that are identical / total number of outcomes
=6/36
= 1/6
Find the perimeter of this semi-circle with radius, r = 25cm. Give your answer as an expression in terms of π .
perimeter of circle
2πr
perimeter of semi circle
2πr ÷ 2
=2π(25) ÷ 2
= 50π ÷ 2
= 25π
Ans = 25π
A three digit number is divided by another three digit number gives 3.724. What are the two numbers?
Answer: the numbers are 250 and 931
Step-by-step explanation:
We have two numbers of 3 digits, A and B such that:
A/B = 3.724
A = 3.724*B
now we can divide the 3.724 in two parts
3.724 = 3 + 0.724
A = (3 + 0.724)*B = 3*B + 0.724*B
So, for now we want to find a number B of 3 digits (i will try to find the smallest possible value of B, because we need to multiplicate B by 3.724 to find A), such that:
0.724*B is an integer.
for example, we can start at B = 1000, and then we will start to reduce the value of B
0.724*1000 = 7240 is an integer, this is an even number, this means that we can take B = 500 and we still will get an integer number.
0.724*500 = 362.
Again, we have an even number, so we can take B = 250 and the result will be also an integer number.
0.724*250 = 181.
Ok, stop here, we can suppose B = 250, then we have:
A = 3.074*B = 3.724*250 = 931
Then the numbers are 250 and 931
Right triangle LMN has vertices L(7, –3), M(7, –8), and N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8). Which rule was used to translate the image? (x, y) → (x + 6, y – 5) (x, y) → (x – 6, y + 5) (x, y) → (x + 8, y – 11) (x, y) → (x – 8, y + 11)
Answer:
d
Step-by-step explanation:
The rule that was used to translate the image is (x, y) → (x – 6, y + 11)
Translation is a way of moving an object from one location to another on the xy- plane
Given the coordinate of the right triangle LMN with vertices L(7, –3), M(7, –8), and N(10, –8)
If the triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8), the translation used will be:
L'(1, 8) = (x, y) - L(7, -3)
(X, Y) = L'(1, 8) + L(7, -3)
(X, Y) = (1+7, 8+3))
(X, Y) = (-6, 11)
Hence the rule that was used to translate the image is (x, y) → (x – 6, y + 11)
Learn more here: https://brainly.com/question/1046778
Can someone help me with this geometry question I don’t understand it
Find the unknown measures. Round lengths to the nearest tenth and angle measures to the nearest degree.
AC =
BC=
∡C=
degrees
Answer:
AC= 6.3 units (nearest tenth)
BC= 2.8 units (nearest tenth)
∠C= 64°
Step-by-step explanation:
Please see attached picture for full solution.
I need help plzzzzzz
Answer:
C) -b > 0
Step-by-step explanation:
as per the graph
a<b<c and a<0, b<0
A) a>b
incorrect as a is on the left from bB) -b < -c
incorrect, b<c, when negative applied to both sides, inequality is reversedC) - b> 0
correct, as b<0, when negative applied it make b positive, i.e greater than zeroDuring the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points.
What is the range of the data? *
Answer:
During the last 5 basketball games, Javier scored 13 , 20, 13, 15, and 24 points
Step-by-step explanation:
Answer:
11 points
Step-by-step explanation:
Range = Highest value - lowest value
Highest value = 24
Lowest value = 13
Range = 24 - 13
Range = 11
can someone help me please
To calculate mean you add up all the numbers you have, then divide it by the total pieces of data, for example: 2 4 3 1 = 2+4+3+1=10 10÷4=2.5
To calculate median, you find the middle number, it helps to put the numbers in order. If there are two middle numbers, add them up and divide by 2.
To calculate mode, you find the number that appears the most.
Comment if you want the answers.
Plz help...
I’m offering 10 pts
Answer:
B._________________________
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
y= -x^2+5
Step-by-step explanation:
It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5
Hope this helped!
What is the equation for the graph shown?
Answer:
y = -2x + 6Step-by-step explanation:
The graph is a line Then it has an equation of the form : y = my + p
where m is the slope and p is the y-intercept.
the line crosses the y-axis at the point (0,6) then
p = 6
the line is going down then
m is negative
the only provided equation that verify: m < 0 and p = 6 is y = -2x + 6
Answer:
y = -2x + 6
Step-by-step explanation:
The expression (x − 4)2 is equivalent to x2 − 16 x2 + 16 x2 − 8x + 16 x2 + 8x + 16
Answer:
Given below
Step-by-step explanation:
The algebraic identity is (a-b)^2
= a^2 + b^2 - 2ab
So it'll be,
(x-4)^2
= x^2 + (4)^2 - (2)(x)(4)
= x^2 -8x + 16
or x^2 +16 -8x
The expression x² + 16 -8x is equivalent to the given expression (x-4)². The correct answer would be an option (C).
What is algebra?Algebra is a discipline of mathematics that deals with symbols and the rules that govern their use. These symbols, known as variables in elementary algebra, indicate quantities with no set values. Equations in mathematics express relationships between variables in the same way that sentences indicate relationships between specific words.
The expression is given in the question, as follows:
(x-4)²
As we know that the sum of square identity (a-b)² = a² + b² - 2ab
So x² + (4)² - (2)(x)(4)
x² -8x + 16 or
x² + 16 -8x
This expression is equivalent to the given expression.
Hence, the correct answer would be an option (C).
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Pls help!! ASAP!!!!
Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:
A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)
Figure ABCD is similar to figure A′B′C′D′.
Figure ABCD is bigger than figure A′B′C′D′.
The measure of angle D is equal to the measure of angle A′.
The measure of angle D is equal to the measure of angle B′.
Figure A is a scale image of Figure B.
What is the value of x?
Answer:
NEED HELP
Step-by-step explanation:
I DON'T KNOW?
Hello, I am having troubles with brainly I can't search anything because it just brings up the screen that no one has asked that question before or something along those lines. Thanks for reading.
Answer:
jus make a new acc
Step-by-step explanation:
Answer:I recommend looking it up on a different website or wording it differently.
hope this helps.
Step-by-step explanation:
i need help on this asap
Answer: optiond solve the values to get the answer
Best of luck for the test
Solve for s 2-2s=3/4s+13
Answer:
s=-4
Step-by-step explanation:
Bring the S to one side and the numbers to the other
-11/4s=11
Then just divide, but when dividing fractions you have to switch the fraction so..
s=11*(-4/11)
s=-4
4y+3x =25 is the tangent to the circle x^2+ y^2 = 25 at the point P(3,4). The equation of the radius of the circle that passes through P is
PLEASE SHOW SOLUTION!
Answer:
4x - 3y = 0
Step-by-step explanation:
The angle between the radius and the tangent at P is right
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y + 3x = 25 into this form
Subtract 3x from both sides
4y = - 3x + 25 ( divide all terms by 4 )
y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{25}{4}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{3}{4} }[/tex] = [tex]\frac{4}{3}[/tex] , thus
y = [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
To find c substitute P(3, 4) into the partial equation
4 = 4 + c ⇒ c = 4 - 4 = 0
y = [tex]\frac{4}{3}[/tex] x ← equation of radius in slope- intercept form
Multiply through by 3
3y = 4x ( subtract 3y from both sides )
4x - 3y = 0 ← equation of radius in standard form
If f(x) = - x2 + 6x - 1 and g(x) = 3x2 - 4x - 1, find (f- g)(x).
Answer:
Step-by-step explanation:
- 4x² + 10x
Answer:
[tex]\fbox{\begin{minipage}{11em}(f - g)(x) = -2x(2x - 5)\end{minipage}}[/tex]
Step-by-step explanation:
Given:
[tex]f(x) = -x^{2} + 6x - 1 \\ g(x) = 3x^{2} - 4x - 1\\[/tex]
Solve for:
[tex](f - g)(x)[/tex]
Solution:
Perform the subtraction:
[tex](f - g)(x) = (-x^{2} + 6x - 1) - (3x^{2} - 4x - 1)[/tex]
Eliminate the parenthesis (notice the change in sign of some components):
[tex](f - g)(x) = -x^{2} + 6x - 1 - 3x^{2} + 4x + 1[/tex]
Rearrange the expression:
[tex](f - g)(x) = (-x^{2} - 3x^{2}) + (6x + 4x) + (1 - 1)[/tex]
Simplify the expression:
[tex](f - g)(x) = -4x^{2} + 10x[/tex]
Perform the inverse of associative property:
[tex](f - g)(x) = -2x(2x - 5)[/tex]
Hope this helps!
:)
PLEASE HELP ANSWER WILL GET BRAINLIEST!! What is the value of x in the equation
Answer:
-8
Step-by-step explanation:
¾(¼x + 8) - (½x + 2) = ⅜(4-x) - ¼x
3x/16 + 6 - x/2 - 2 = 3/2 - 3x/8 - x/4
3x/16 + 4 - x/2 = 3/2 - 3x/8 - x/4
3x/16 - x/2 + 3x/8 + x/4 = 3/2 - 4
3x/16 - 8x/16 + 6x/16 + 4x/16 = 3/2 - 8/2
(3x - 8x + 6x + 4x)/16 = - 5/2
5x/16 = - 5/2
5x * 2 = -5 * 16
10x = - 80
x = -80/10 = -8
Please help me in this
Answer:
3
Step-by-step explanation:
as u add 2 + 1 from the 6 and 7 hours
