a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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Ms. Farmer has 33 students in her class. This is 11 more
students than Ms. Prince has.
How many students does Ms. Prince have? Choose the correct equation and
answer
O A. X+ 11 = 33
x = 44 students
O B. X+44 = 33
x = 77 students
O C. X+33 = 11
x = 44 students
O D. x+ 11 = 33
x = 22 students
Answer: C
Step by step explanation :
ASAP PLEASE THANK YOU!!
Answer:
volume is 2,400
Express the inequality −2
Answer:(-2,8)
Step-by-step explanation:The inequality −2<x<8 means "all numbers between −2 and 8." In interval notation, we express this as (−2,8). Notice that we use parentheses to show that the numbers −2 and 8 are not included.
Complete the inequality for this graph.
y
5
Step-by-step explanation:I had the same exact question and 6 was incorrect but when I tried 5 it passed. Hope this helped and have a good one!
The linear inequality that represents the graph will be y < x + 5.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
From the graph, the two points are (0, 5) and (-5, 0). Then the linear inequality is given as,
(y - 0) < [(5 - 0) / (0 + 5)](x + 5)
y < x + 5
The linear inequality that represents the graph will be y < x + 5.
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What is 2/8 as a decimal and percent
Answer:
0.25 is a decimal and 25/100 or 25% is the percentage for 2/8.
Step-by-step explanation:
The result is: 0.25 and 25% is 2/8 as a decimal and percent.
Here, we have,
given that,
the fraction is: 2/8
now, we have to write as a decimal and percent.
so, we get,
2/8
[ dividing both numerator and denominator by 2 ]
= 1/4
= 0.25
so, we get, 0.25 is a decimal.
now, we have,
0.25 = 25/100 = 25%
so, we have, 25/100 or 25% is the percentage for 2/8.
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jimmy earns $75 mowing lawns this weekend. he puts the money in the box in which he keeps his earning
Answer:
whats the question??
Step-by-step explanation:
2. Kung may 72 sa punong itatanim sa 8 hanay. Ilang puno ang maitatanim sa bawat hanay?
please help me! i linked the image that has the question
Answer:
Step-by-step explanation:
The area of a trapezoid is the average of the parallel bases times the height.
A=h(a+b)/2 and since we have two identical trapezoids the total are will be
A=h(a+b) in this case
A=15(32+25)=855mm^2
Solve 4 + 1/5r = -1. Single choice.
answer choices:
r=25
r=-25
r=-15
Answer:
-15
Step-by-step explanation:
imma pro
Answer: r = - 25
Step-by-step explanation:
Find g-1(3):
g(x) =
2x+2
2x + 2
4
Answer:
download phto math and scan
Step-by-step explanation:
yea um help a girlie out
Answer:
U (-10,-7)
V ( -10,-1)
w (-1, -9)
Step-by-step explanation:
So you are lucky I just did this unit lol so i got the answer
When doing any rotation around the origin, only one number changes integers if it is 90 degrees, in this case rotating 90 degrees will cross the y axis.
This means the y value will remain the same but the integer for the x values will switch.
So the new values are:
U (-10,-7)
V ( -10,-1)
w (-1, -9)
i hope this helps!
pls give thx and brainliest. ;)
(20,-6)(6,5) find the slope
A cheetah was racing a gazelle and a lion. For every 52 of a
mile the cheetah ran, the gazelle ran 16 of a mile and the lion
ran 34 of a mile. If the cheetah ran 20 miles miles, how many
miles did the gazelle and lion run?
Answer:
Step-by-step explanation:
twenty-five percent of this square is shaded. what percent of the square is not shaded?
Answer:
75%
Step-by-step explanation:
100-25 = 75
There are 48 students who play the clarinet in a year group of 120.
Write this proportion as a percentage.
Answer:
40%
Step-by-step explanation:
As a Fraction your answer would be [tex]\frac{48}{120}[/tex].
However we are looking for it as a percentage.
In order to calculate, this you can simply find 10%, and 5% of 120.
10% = 12
5% = 6
48 is divisible by 12, therefore 48 / 12 = 4
Giving you your answer which is 40%.
Find the slope of the line that passes through the given point (-2, -4) and (-11, -7)
Answer:
Step-by-step explanation:
[tex]Slope= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-7-[-4]}{-11-[-2]}\\\\=\frac{-7+4}{-11+2}\\\\=\frac{-3}{-9}\\\\=\frac{1}{3}[/tex]
A _______
represents the leading digit in a stem-and-leaf plot.
The answers are: leaf, stem
I WILL GIVE BRAINLYEST
Answer:
The answer is the first option - leaf.
Answer:
the answer is stem.
Step-by-step explanation:
i know this because i am on the same question and there are only two answers so if the other answer was wrong it means this one has to be right.
What is 2/4 as a decimal and percent
Answer:
0.5 is 2/4 as a decimal and 50% is 2/4 as a percent
A line goes through the point (0.5, 0.25) and (1, –0.75). What is the slope of the line?
Answer:
-1/2, or -0.5
Step-by-step explanation:
Slope = delta y/delta x
In this situation, you would do.
0. 5 - 1 / 0.25 - (-0.75)
0.5 - 1 = -0.5
0.25 -(-0/75) = 1
-0.5 / 1 = slope
-0.5 = slope
or
-1/2 = slope
Hope this helps!
The ratio of dogs and cats in the veterinarians office is 9:7What is the ratio of dogs to the number of dogs and cats in the veterinarians office
Answer:
9:16
Step-by-step explanation:
If there are 9 dogs and 7 cats and you need to know the total number of cats and dogs add the numbers together (16) and put the number of dogs in front of it (9). So the answer is 9:16
Answer:
9:16
Step-by-step explanation:
because he ratio of cats to dogs is 9:7, so that means the 9 is how many dogs their are, 9 + 7= 16, making 9:16 (i'm wrong i'm positive i might be right)
How Many Times Done 16 go Into 78!??!!!!?!!?!??!?!?! HELP ME!!!
Answer:
4.87500
Step-by-step explanation:
hope this helps
Answer:
4.875
Step-by-step explanation:
78 divided by 16 = 4.875
25*89 / 1/4
I WILL AWORD BRILLENEST!!!!!!
Answer:
8900
Step-by-step explanation:
25 * 89 / [tex]\frac{1}{4}[/tex] = 25 * 89 * 4 = 100 * 89 = 8900
The volume of a cone is 150 cubic meters and the height is 4 meters. Calculate the radius.
Answer:
r≈5.98m
Step-by-step explanation:
r=3V πh=3·150 π·4≈5.98413m
A climber starts at an elevation of -200 meters and her change in elevation is 300 meters up. What is her final elevation?
Answer:
100
Step-by-step explanation:
because -100 0 then positive 100
Explain answer !
Will give brainlst
To solve a multi-variable problem, you need to isolate single variables. To do this, there are two ways to do it. One way you eliminate one of the variables and the other you substitute.
In this example, you are being asked to eliminate one of the variables. To do this, you multiply 2x+2y= 12 by 2 and get 4x+4y = 24.
See how now both equations contain a 4y?
Using this you can subtract one equation from the other.
5x+4y=28
- 4x+4y=24
And then you get x=4
To get the other variable, you substitute 4 in for x (in one of the equations) and then solve for y.
2(4) + 2y =12
8+2y= 12
2y=4
y=2
Therefore, x = 4 and y = 2
what is 0.48 times 0.4
Answer:
0.193
Step-by-step explanation:
There are 10 students. 30% of the students returned their calculators at the end of class. How
many students returned their calculator at the end of class?
how to write an equation
Answer:
Step-by-step explanation:
An equation is like a sentence, just using a different language. Mathematical equations are telling you to do something, giving you information on how to respond, or come up with an answer. It's up to you to learn this language. However, once you know it, you can write in this language! You, too, can write algebraic equations.
Parts of a Mathematical Equation
A mathematical equation, also known as a statement, shows that two separate expressions are equal. The two expressions are usually connected by the "equal-to" (=) sign. You can find the expressions in a mathematical statement by looking at the left-hand side and the right-hand side of the equation, using the = sign as the point of reference.
Example: 2x + 3 = 11
It can be helpful to view equations as a scale in which weights are used to keep it balanced. The scale is balanced when what is placed on the right-hand side is equal in weight to what is on the left-hand side. Solving an equation can also be thought of in terms of adding weight to the left or right-hand side of the scale to balance it out.
Finding the solution to the equation involves manipulating the weights. Whatever is done on the right-hand side of the scale must also be done on the left-hand side to keep the scale balanced.
Your tools for this happen to be, most commonly, addition, subtraction, multiplication, or division.
Answer:
An equation uses symbols and numbers there are SO many equations you could make for example an easy one 6 x 5 = 30 there are two numbers you multiply to get a product. Whenever you write an equation you always put an equal sign which is this: = . This shows what you get from the equation. There are main parts the =, +, -, x, ÷ . All represent what you do to the two numbers you put on both sides of it.
Jake cut a round gelatin dessert into 8 equal pieces. Five of the pieces were eaten. What is the angle measure of the dessert that was left?
Answer:
360/8=45º
each of the 8 pieces forms an angle of 45º
3 pieces are left
3*45=135º
Step-by-step explanation:
How many prime numbers between 20 and 40
Answer:
23,29,31,37.
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