Answer:
[tex]y=-\frac{1}{2} x+2[/tex]
Step-by-step explanation:
The given equation is written in slope-intercept form:
[tex]y=mx+b[/tex]
where:
m is the slopeb is the y-interceptx and y are the corresponding coordinate points (x,y)The slope is 2:
When two lines are perpendicular, their slopes will be opposite reciprocals. Find the slope of the line perpendicular to the given equation:
[tex]m_{1}=2[/tex]
This can be seen as:
[tex]m_{1}=\frac{2}{1}[/tex]
Flip the fraction (reciprocal):
[tex]\frac{2}{1}[/tex] → [tex]\frac{1}{2}[/tex]
Now find the opposite:
[tex]\frac{1}{2}[/tex] → [tex]-\frac{1}{2}[/tex]
So the slope of the perpendicular line is:
[tex]m_{2}=-\frac{1}{2}[/tex]
Now make an equation written in point-slope form:
[tex]y-y_{1}=m(x-x_{1})[/tex]
where:
m is the slope[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the corresponding coordinate points [tex](x_{1},y_{1})[/tex]Insert information:
[tex]y-3=-\frac{1}{2} (x-(-2))\\\\y-3=-\frac{1}{2} (x+2)[/tex]
Simplify to slope-intercept form. Solve for y:
Use the distributive property:
[tex]y-3=-\frac{1}{2}(x)-\frac{1}{2} (2)\\\\ y-3=-\frac{1}{2} x-1[/tex]
Add 3 to both sides to isolate the variable:
[tex]y-3+3=-\frac{1}{2} x-1+3\\\\y=-\frac{1}{2} x+2[/tex]
:Done
Byron’s workout starts with a
warmup at home, and then he runs
at 4 mi/h. After half an hour of
running, he is 2 miles from home.
What is an equation in point-slope form that represents Byron’s
distance from home, y, after
x hours?
Answer:
An equation in point-slope form that represents Byron’s distance from home, y, after x hours is y=4x+2
Step-by-step explanation:
Speed of Byron = 4 miles / hour
Distance traveled in x hours = [tex]Speed \times time[/tex]
Distance traveled in x hours = 4x
We are given that After half an hour of running, he is 2 miles from home
So, Total distance = 4x+2
So, y = 4x+2
Hence an equation in point-slope form that represents Byron’s distance from home, y, after x hours is y=4x+2
Matthew enjoys running and often runs at a steady pace to burn calories.
At this pace he can run 1,500 feet in 30 minutes.
*What is Matthew's unit rate?
*How far would Matthew run in 7 minutes?
Answer:
28
Step-by-step explanation:
A. y = 1x+2!
or
B. y = 1x - 21
Answer:
B.y=|x-2|
Step-by-step explanation:
y is equal to the modulus of x-2 two because in the graph the the line cut at -2
Could someone help????
Answer:
3 1/2 + 3 1/2 is 7
Step-by-step explanation:
the water cycle describes how water __ from the ocean ,plants ,animalas or waste
Answer:
evaporates
Step-by-step explanation:
Answer:
The water cycle describes how water evaporates from the ocean, plants, animals, or waste.
Step-by-step explanation:
The word evaporates is the answer.
Hope this helps!
43 +62 +57 + m / 4 = 55
Determine the range from the set of ordered pairs
Answer:
2nd option
Step-by-step explanation:
range is all the outputs
if y= 2x+1 were changed to y= 1/2x + 1, how would the graph of the new compare with the first one?
Answer:
The x would be -2 instead of -0.5.
Step-by-step explanation:
Which list contains only rational numbers?
Answer: B
Step-by-step explanation:
Fractions, decimals, whole numbers, zero, and negatives. DOES NOT INCLUDE REPEATING DECIMALS.
what are a couple ways to simplify 3(x-5)-4=17
Simplifying
3(x + -5) + -4 = 17
Reorder the terms:
3(-5 + x) + -4 = 17
(-5 * 3 + x * 3) + -4 = 17
(-15 + 3x) + -4 = 17
Reorder the terms:
-15 + -4 + 3x = 17
Combine like terms: -15 + -4 = -19
-19 + 3x = 17
Solving
-19 + 3x = 17
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '19' to each side of the equation.
-19 + 19 + 3x = 17 + 19
Combine like terms: -19 + 19 = 0
0 + 3x = 17 + 19
3x = 17 + 19
Combine like terms: 17 + 19 = 36
3x = 36
Divide each side by '3'.
x = 12
Simplifying
x = 12
NEED HELP PLEASE IM BEGGING YOU !!!!!!!!!!!
Answer:
Yes
Step-by-step explanation:
1/4*16 is equal to 4, 4+7=11, 11=11, so 1/4 is a solution
(4x+7)(4x+7) um help pls? idk how to math >~<
the assignments due in like 30 minutes aaaaaa
NEED ANSWER ASAP PLEASE!
Answer:
X=3.5686 for the first problem
Step-by-step explanation:
Do you need help with all of them?
PLEASEEEEEEEEEEEEEEEEEEEE HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYY SOMEONEEEE
Answer: C = 30 - 3t
Step-by-step explanation: he starts with 30 therefore having 30 on day 0 and he eats 3 daily so day 1 would be 27 day 2 24 and so on
help with this !!! thanks
Answer: Casey bought 4 1/2 pounds of apples
The equation is 0.88x - $1.50 = 2.46
x is the unknown number of pounds of apples.
0.88 is the cost per pound, 0.88x is the total cost of the apples before the discount .The discount is $1.50 $2.46 is the cost after the discount.
Part b Step-by-step explanation:
0.88x - $1.50 = 2.46 . Add $1.50 to both sides
0.88x - $1.50 + $1.50 = 2.46 + 1.50
On left, 1.50-1.50=0 so "cancels' on the right, add $2.46 + 1.50 = 3.96
0.88x = 3.96 is the cost before discount . Divide both sides by .88
.88x/.88 = 3.96/.88 . .88/.88 = 1 so 1 'cancels' leaving x. 3.96/.88 = 4.5
x = 4.5
part c
4.5 is 4 1/2, the (previously unknown) number of pounds of apples.
Casey bought 4 1/2 pounds of apples.
PLS HELP! URGENT
The graph shows the amount of money paid when purchasing bags of candy at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9 and the y-axis is labeled from 0 to 10. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, 6. These points are joined by a line. The label on the x-axis is Bags of candy. The title on the y-axis is Total cost in dollars.
What is the constant proportionality?
Answer:
(0,0) represents the cost of 0 bags of candy.
where (1,2) tells us that 1 bag of candy costs $2....(2,4) and 2 bags of candy costs $4.....(3,6) and 3 bags of candy cost $6
Step-by-step explanation:
mp + 3); use m = 3, and p = 5
Answer:
15+3=18
Step-by-step explanation:
mp=3x5=15 + 3 it is 18 the answer
1. Dei has $10 to spend on nail polish. With
tax each bottle costs $2.49. Can Dei buy 3
bottles of nail polish?
Answer:
Yes she can
Step-by-step explanation:
Answer:
yes it would be 7 dollars
HELLPPPPPP -9(x +3) =27
-9x + (?) =27 WILL GET BRAINLYIST
Answer:
-27
Step-by-step explanation:
Given expression:
-9(x + 3) = 27
Now use the open the bracket;
-9x - 27 = 27
Given -9x + (?) = 27
Comparing the two equations shows that the question mark corresponds to the value -27;
The solution is -27
the product of 120 and b is equal to 312
Write the sentence as an equation.
Answer:
120 · b = 312 or 120b = 312
Step-by-step explanation:
3. I opened a compound interest account with $300 at 2%. How much money will be in the
account at the end of 18 months?
Answer:
there will be 408$ at the end of 18 months
Step-by-step explanation:
2% of 300 is 6 and 6 x 18 = 108. 108 + 300 = 408
The width of a rectangle is 3 feet less than twice the length. Find the length if the
perimeter is 84
Answer:
Your width is 5 feet and your length is 7!!!!!
Step-by-step explanation:
MARK AS BRAINLIEST
If 4 video games cost $78, how much do 8 video games cost?
Answer:
156 dollars is how much 8 video games cost
Answer:
132.8
Step-by-step explanation:
first divide 78 by 4 wich is 16.6 then multiply 16.6by 8 and you get 132.8
On a school trip, a class travels 22 kilometers by train and 9.36 kilometers by bus. How far did the class travel?
Answer:
Just add
Step-by-step explanation:
22 + 9.36 = ?
22 + 9.36 = 31.36
So, they traveled 31.36 kilometers.
Enter the improper fraction as a mixed number. 5\2
Answer:2 1/2
Step-by-step explanation:
The perimeter of a rectangle is 64 inches. Find the value of x if the width is 22 inches and tenth is 2x inches.
Answer:
5
Step-by-step explanation:
Did you mean length instead of tenth? If so, 22*2=44, 64-44=20, 20/2=10. The length of the rectangle is 10 so to find the value of x, divide 10 by 2 so, 10/2=5, and x is equal to 5. : )
Ross says a $154.95 skateboard at 40% off is cheaper than a $250.95 skateboard at 60% off. Is he correct? How much cheaper is the offer?
Answer:
Yes he is correct $154.95 skateboard at 40% off is cheaper than a $250.95 with 60% off
Step-by-step explanation:
250.95 with 60% off is 150.57
154.97 with 40% off is 61.99
Drag these numbers from least to greatest. 0.7, - 4.5, 0.3, - 0.5, 2.3
Answer:
-4.5, -0.5, 0.3, 0.7, 2.3
Step-by-step explanation:
use a number line:
What is 2.072539 rounded to the nearest hundredth?
Find the mean number of of hours for these students. Round to the nearest tenth