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
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.
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
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
(4x+7)(4x+7) um help pls? idk how to math >~<
the assignments due in like 30 minutes aaaaaa
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
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
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:
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
Determine the range from the set of ordered pairs
Answer:
2nd option
Step-by-step explanation:
range is all the outputs
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
43 +62 +57 + m / 4 = 55
Find the mean number of of hours for these students. Round to the nearest tenth
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:
NEED ANSWER ASAP PLEASE!
Answer:
X=3.5686 for the first problem
Step-by-step explanation:
Do you need help with all of them?
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:
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
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. : )
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
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:
Enter the improper fraction as a mixed number. 5\2
Answer:2 1/2
Step-by-step explanation:
Could someone help????
Answer:
3 1/2 + 3 1/2 is 7
Step-by-step explanation:
What is 2.072539 rounded to the nearest hundredth?
Which list contains only rational numbers?
Answer: B
Step-by-step explanation:
Fractions, decimals, whole numbers, zero, and negatives. DOES NOT INCLUDE REPEATING DECIMALS.
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
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:
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.
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
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
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!
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