Line $1$ represents the graph of $3x + 4y = -14$. Line $2$ passes through the point $(-5,7)$, and is perpendicular to line $1$. If line $2$ represents the graph of $y=mx +b$, then find $m+b$.
Answer:
15
Step-by-step explanation:
First, solve for Line 1
3x + 4y = -14
move the x to the right of the equation
4y = -3x - 14
divide the whole equation by 4
y = -3/4x - 14/4
Line 1 is y = -3/4x - 7/2
Then, solve for Line 2
Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.
-3/4 to 3/4 to 4/3
4/3 is the slope of Line 2.
Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.
y = mx + b
plug in the y, m, and x into the equation
7 = (4/3)(-5) + b
multiply the m and x together
7 = -20/3 + b
add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation
41/3 = b
So, m = 4/3 and b = 41/3
Add them together and you get 45/3 or 15.
I hope this helped!
Question 2
Identity the numbers that make the statement below tree
58=-= a postave number
A
B
6.3
c
500
D
5.9
E
-7.3
F
8.2
PLEASE HELP TIMED TEST!!!!!
Step-by-step explanation:
I am a math genis but the is hard
What is the value of f-1(4)
Answer:
x=4 hope that helps I did it on my calculator story if it is wrong
my teacher told me to answer this it got complicated for me
Answer:
SOLUTION FOR A:
YOU NEED TO MULTIPLY THE VARIABLE FROM THE DENOMINATOR
SOLUTION FOR B:
MULTIPLY TO REMOVE THE VARIABLE FROM THE DENOMINATOR
THE ANSWERS FOR SOLVING FOR B AND A ARE IN THE SCREENSHOTS
yk i just rlly wanted to type in caps-
what is 542.070 rounded to the NEAREST tenth
Answer:
542.1
Step-by-step explanation:
you round up since 7 is above 5
Answer:
542.1
Step-by-step explanation:
Find the number in the tenth place 0 and look one place to the right for the rounding digit 7 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
D=(x2+x1)+(y2-y1) this is the formula I need number 19 Please will mark brainliest and 50 points
Answer:
[tex]2\sqrt{2}[/tex] or [tex]\sqrt{8}\\[/tex]
Step-by-step explanation:
The formula is actually d= [tex]\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2}}[/tex]. Now first, we have to find points A and C.
Point A is (1,2) and Point C is (-1,0).
Now we have to substitute the values in. That would make it d =[tex]\sqrt{(-1-1)^{2} + (0-2)^{2}}[/tex].
To simplify the parentheses, it would get to d= [tex]\sqrt{(-2)^{2}+(-2)^{2} }[/tex].
To simplify the exponents, it would get to d = [tex]\sqrt{4+4}[/tex].
To simplify the square root, it would get to d = [tex]\sqrt{8}[/tex].
So the answer is either [tex]2\sqrt{2}[/tex] or [tex]\sqrt{8}\\[/tex].
Hope this helped! If not, please let me know!
Find f'(a)/ f(x)=[tex]\sqrt{2-2x}[/tex]
Answer:
f = √2-2x
Step-by-step explanation:
vshsgshbeeyvecv
Step-by-step explanation:
Hoping I didnt take it wrong from the question!
Which of the following situations can be modeled by the expression -8 + 35?
While Shawn was sleeping, the temperature decreased by 8°F. If the temperature was 35°F when Shawn went to bed, what was the temperature when Shawn woke up?
When Shawn woke up, the temperature was -8°F. By noon, the temperature had increased by 35°F. What was the temperature at noon?
None of the above.
When Shawn woke up, the temperature was -8°F. By noon, the temperature had increased to 35°F. By how much did the temperature change?
Answer:
The second one
A rectangle has side lengths of 2x - 1 and x + 1. If the rectangle's area is 90 square inches, what is its perimeter?
Answer:
39
Step-by-step explanation:
x=6.5
2(6.5)-1=12
6.5+1=7.5
12+12+7.5+7.5=39
Question 4
2 pts
If a = -3, b = 2 and c = -4 find the value of the expression.
a2 +b²
Answer:
-2
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
a2 + b²
a = -3
b = 2
c = -4
Step 2: Substitute and Evaluate
2(-3) + 2²
-6 + 4
-2
Answer:
1
Step-by-step explanation:
HELO ASAP CONVERT ALL OF THE FOLLOWING TO STANDARD NOTATIONS
Answer:
5. 78300000
6. 25000
7. 0.000008345
8. 0.003
Step-by-step explanation:
when the exponent is negative, the decimal moves to the left
when the exponent is positive, the decimal moves to the right
Determine whether AB and MN are parallel, perpendicular, or neither.
Graph each line to verify your answer: A(-1,4), B(2.-5), M(-3,2). N(3, 0)
Answer:
Neither
Step-by-step explanation:
They need a 90°angle to be perpendicular.
And it has to not be touching to be parallel.
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
In a scatterplot what does the term outlier mean?
Answer:
An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).
An outlier for a scatter plot is the point or points that are farthest from the regression line. ... If a number of points are the same farthest distance from the regression line, then all these points are outliers. If all points of the scatter plot are the same distance from the regression line, then there is no outlier.
Step-by-step explanation:
Answer:
An outlier is defined as a data point that emanates from a different model than do the rest of the data. ... If the outlier is omitted from the fitting process, then the resulting fit will be excellent almost everywhere (for all points except the outlying point).
Step-by-step explanation:
Just copy the first part of the person above me or this one its the same but I put the first graph on and go it right. ;)
Write −0.48 as a fraction in simplest form.
−0.48=
I would also like an explanation too please! please answer ASAP
Answer:
Answer:
-12/25
Step-by-step explanation: We already know that -48/100=-0.48, so we can just write -48/100 in simplest form which is -0.48. So, your answer is -0.48
Step-by-step explanation:
Number 10 will be marked brainliest
Answer:
Sorry. Please mark as brainliest
which line has a constant of proportionality between y and x of 5
Answer:
tp
Step-by-step explanation:
The constant of proportionality between y and x of 5 for line A.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The lines in the graph are passing through origin.
It implies that the y-intercept for all the lines is zero.
The slope-intercept equation of the line can be written as,
y = mx + c
Here c is the y-intercept.
When c = 0, the equation becomes as y = mx.
It implies that the for lines passing through origin, the slope of the line becomes the proportionality constant.
Now, from the given graph the line A is shown to be passing through (5, 1).
Then, the slope is given as,
m = (5 - 0)/(1 - 0) = 5
Hence, the line A in the given graph has constant of proportionality as 5.
To know more about slope click on,
https://brainly.com/question/3605446
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8 out of every 20 spectators were girls. There were a total of 1560 spectators at the game. How many of the spectators were girls
Answer: I think the answer is 624 girls im sorry if its wrong if it is can you please correct me
Step-by-step explanation:
In City A, the temperature rises 7 degrees F from 8AM to 9AM. Then the temperature drops 6 degrees F from 9AM to 10AM. In City B, the temperature drops 2 degrees F from 8AM to 9AM. Then the temperature drop 4 degrees F from 9AM to 10AM. Write an expression that represents the change in temperature from 8AM to 10AM for each city. Simplify and interpret each sum.
Answer:
is there like a image of this eqation?
Step-by-step explanation:
What is the result of solving this equation for x?
y−b=m(x−a)
15 points + brainliest hurry plz its an image
What is the midpoint between n(- 4, 4) and (- 2, 2)
How are the key features of a linear function identified and interpreted from a description?
Help I’m dying with math lol
Answer:
Key features of a linear function from a table are the ordered pairs which are points on a line.In the equation,the slope of the function which is the rate of change and the y-intercept value are indicated.
Step-by-step explanation:
For the pair of points, find the slope of the line that passes through both points.
(1,1) and (7,5)
Please help if possible thank you♥️
Answer:
B.
Step-by-step explanation:
16 * 4 = 64
The square root of 64 is 8, the square root of 16 is 4, and the square root of 4 is 2
4 * 2 = 8
Please mark Brainliest thank you!!
Which equation does not represent a function? Why? A) y = x2; There are two outputs for each input. B) y2 = 4x; There are two outputs for each input. C) y = x; The output value is the same as the input value. D) y = −x; The output value is the opposite of the input value.
Answer:
B) y² = 4x; There are two outputs for each input
Step-by-step explanation:
For an equation to be called a function, the input values for x must only result in a single output for y.
Based on this definition if a function, the functions y = x², y = -x and y = x are all functions because for any value of x imputed in them, we can only get one equivalent value of y.
The only exception is the function y²= 4x
For this function, for any value of x, there will be more than one output for y. Take x = 1 for example
y² = 4(1)
y² = 4
y = ±√4
y = ±2
This shows that y = 2 and -2
Also if x = 4
y² = 4(4)
y² = 16
y = ±√16
y = ±4
y = 4 and -4
No matter the value of x imputed, the output value y will always be two (a positive and a negative value)
Hence, option B is correct.
Answer:
B
Step-by-step explanation:
7 -14m = 2m - 5 multi step variables on both sides
7 - 14m = 2m - 5
+14m +14m (add 14 on both sides)
_____________
7 = 16m - 5
+5 + 5 (add 5 on both sides)
_____________
12 = 16m
__ ___ (divide 16 on both sides)
16 16
m = 0.75
Answer:
m = 3/4
Step-by-step explanation:
7 - 14m = 2m - 5 (given)
7 + 5 - 14m = 2m - 5 + 5 (addition poe)
*add 5 to both sides to cancel -5 out*
12 - 14m = 2m
12 - 14m + 14m = 2m + 14m (addition poe)
*add 14m to both sides to cancel -14m* out*
12 = 16m
12/16 = 16m/16 (division poe)
*divide by 16 on both sides to cancel out the coefficient*
12/16 = m
m = 12/16 (symmetric property)
*mirror to the other side*
m = 12÷4/16÷4 (division poe)
*divide the numerator and denominator by its greatest common factor*
m = 3/4
PLEASE HELP f(x)= x-2. Find the inverse of f(x)
Answer:
It's A
Step-by-step explanation:
Find the sum of 3-7i and 8+4i
A. 22-8i
B. 11+3i
C. -22+8i
D. 11-3i
Which equation can be used to find T the number of tickets each class needs to sell so that the total amount raised is the same for both classes
Answer:
C.
Step-by-step explanation:
If you know how much each class is selling tickets for and how much they've already raised then you take those two values and set them equal to each other.
2.5t + 350 = 3t + 225
To actually find the number of tickets each class would have to sell you would just solve for t.
If f(x) = 3x + 2, what is f(5)?
Answer:
f(5) = 17
Step-by-step explanation:
plug in 5 in the x so 3(5)+2 =17
Answer:
17
Step-by-step explanation:
3(5) + 2 = 17
15 + 2 = 17