The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.
8y=-5x+16
y=-5/8x+2.
To be perpendicular, the slope has to be 8/5.
What is the slope-intercept form of the line?
The slope-intercept form is y=mx+c
Where m is the slope and c is the y-intercept.
So y=8/5x+b.
We can plug in the given coordinates to get
7=8/5*-5+b
7=-8+b
b=15.
So eqn is y=8/5x+15 or in point-slope form, y=8/5x+15
5y=8x+75
5y-8x=75
The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.
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Find the slope of the line passing through the points (-7,8) and (-7,-6)
Find the slope of the line passing through the points (-9,-8) and (3,-8)
Answer:
1) undefined
2) 0
Step-by-step explanation:
Slope formula:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Problem 1:
(x1, y1) = (-7, 8)
(x2, y2) = (-7, -6)
Plug those 2 points into the slope formula and solve:
[tex]m=\frac{-6-8}{-7--7}\\\\m=\frac{-14}{0}[/tex]
Here, you can't divide by 0, so this slope is undefined. An undefined slope would make a completely vertical line on a graph. In this case, the equation of the line would be just:
[tex]x=-7[/tex]
Problem 2:
(x1, y1) = (-9, -8)
(x2, y2) = (3, -8)
[tex]m=\frac{-8--8}{3--9}\\\\m=\frac{0}{12}\\\\m=0[/tex]
The slope is 0, and that would make a horizontal line on a graph. The equation would be:
[tex]y=-8[/tex]
You don't actually need to fully work out the slope that way. If you ever have 2 points with the same x-coordinate, the slope has to be undefined. If you ever have 2 points with the same y-coordinate, then the slope has to be 0, assuming it's linear of course. You can see that in the points given, the first 2 have the same x and the second 2 have the same y.
Find the value of the expression
j − 14
for j = 18.
The absolute value of | – 71 – 19 – 18% is -16.
TRUE
FALSE
Answer: False i think
Step-by-step explanation:
13. The function y = 40(x - 1) + 70 can be used to determine the cost in dollars
for renting a trampoline park for a birthday party for x hours. What is the rate of
change of the cost in dollars to rent the trampoline park with respect to time?
A
$30 per hour
$40 per hour
B
с
$60 per hour
D
$110 per hour
Step-by-step explanation:
the function actually is
y = 40(x - 1) + 70 = 40x - 40 + 70 = 40x + 30
still, the slope (the factor of x) is 40.
that means y (the cost) increases by 40 for every additional hour (x increases by 1).
so, the rate of change (slope) is 40/1 = $40 per hour.
nvmnvmnvmvnmvnmvnvnmvv
Answer:
ur right
Step-by-step explanation:
Help I’m timed!
Which expression is a polynomial?
Answer:
The second option
Step-by-step explanation:
The second option is a 5-term polynomial
Hope this helps
Sammy and her family are on a trip. So far, they have traveled 225 miles and are 25% of the way to their destination. How many total miles will they travel?
What rational number represents a drop of 4 1/4 in?
Enter your answer in the box.
Answer:
The fraction 1/4 is a rational number.
It stands for the ratio between the integers 1 and 4.
Answer:
this is your answer
Step-by-step explanation:
this is your answer
y=x-5 find the four points in the inverse
5.3mm, 5.0cm, 4.9cm, 5.32cm Which of these following reading is more precise
Answer:
5.32
Step-by-step explanation:
it had a more exact reading than the others
Which decimal is less than 0.12 and greater than 0.008?
Answer:
Too many examples.
You can pick a number between 120 and 8, then. take that number and move the decimal point to the left 3 spaces.
Here are some examples between 0.12 and 0.008:
0.10.0650.580.07830.119Aaron ran 2 1/4 miles in 20 minutes. Based on this , how fast is he running one mile ?
Answer: Aaron is running 8 minutes and 53 seconds per mile.
Mr. Bailey announced the grade distribution for
his science fair projects. Of the 36 students in the
class, 12 earned A's, 18 earned B's, and 6 earned
C's. If Mr. Bailey were to randomly select one of
his students to talk about their project, what is the
probability that the student chosen had earned an
A on their science fair project?
Answer:
12/36
Step-by-step explanation:
Cuz 12 earned A's so it's 12/, then there are 36 choices so it would be 12/36.
152 feet in 16 seconds
Answer:
I'm not sure what you're asking but that is 9.5 feet per second.
Step-by-step explanation:
152÷16=9.5
Answer:
if you are asking about the unit rate it is 9.5 feet per second
Step-by-step explanation:
You just have to do 152/16
hope this helps
Identify the parent function. 5 -5 5 -5 A. Cube root
(4x 2 − 2x + 10) + (−2x 2 + 4x − 2)
Answer:
2x²+2x+8
Step-by-step explanation:
4x²-2x+10-2x²+4x-2
=4x²-2x²-2x+4x+10-2
=2x²+2x+8
9. Belinda makes 5 gallons of fruit punch per day. How many gallons will she make in a week?
Answer:
35 gallons
Step-by-step explanation:
one week = 7 days
5 gallons per day
one week = 7 days * 5 gallons
= 35 gallons in a week
If the Jones family owned a $300,000 home, a $12,000 car, and had $150,000 in other assets, what would be their net worth? $462,000 $450,000 $312,000 $138,000
Answer:
462,000
Step-by-step explanation:
300,000+150,000+12,000=462,000
Answer:
Step-by-step explanation:
Given f(x)=x2-1/x+4 find f(-3)
Identify the first five terms of the sequence in which a1 = 3 and an = 4an−1− 5 for n ≥ 2.
Step-by-step explanation:
a1 = 3
an = 4an-1 - 5
a2 = 4×3 - 5 = 12 - 5 = 7
a3 = 4×7 - 5 = 28 - 5 = 23
a4 = 4×23 - 5 = 92 - 5 = 87
a5 = 4×87 - 5 = 348 - 5 = 343
Answer:
3, 7, 23, 87, 343
Step-by-step explanation:
Using the recursive rule and a₁ = 3 , then
a₂ = 4a₁ - 5 = 4(3) - 5 = 12 - 5 = 7
a₃ = 4a₂ - 5 = 4(7) - 5 = 28 - 5 = 23
a₄ = 4a₃ - 5 = 4(23) - 5 = 92 - 5 = 87
a₅ = 4a₄ - 5 = 4(87) - 5 = 348 - 5 = 343
The high temperature was recorded as 25.6°F. The low temperature that same day was recorded as −2.7°F. What was the difference between the high and low temperatures for that day? Enter your answer as a decimal in the box.
28.3
Step-by-step explanation:
the difference is the answer to a subtraction problem so we can plug in our numbers like this
25.6-(-2.7) which equals 28.3
a good thing to remember when subtracting negative numbers is that a positive and negative won't always make a negative like in this example
Answer:
He's right it's 28.3
Step-by-step explanation:
I WILL GIVE BRAINLEST PLAESE HURRY I HAVE 10 MIN
Launch Problem
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
If Melanie ran once a day, how many days did she run?
Wait this might be a trick. If Melanie ran ONCE A DAY how many days did she run. She trained for the week. 7 days in a week. There is a good chance I am wrong but I think 7 days.
Would 5/5x2 3/4 be less greater or equal to 2 3/4
Answer:
greater
Step-by-step explanation:
if you add them and do the multiplication it is greater
Answer:
It would be equal
Step-by-step explanation:
You first divide 5/5, which is equal to 1, multiply that by 2 to get 2.
After that, there is a 3/4 sitting around so you add 3/4 to 2.
Then you will see that both are equal.
f(x)=x+1/x-2
find the inverse
Question is in image below
A lamppost is 6 feet high and casts and 8 foot shadow. At the same time of day, a flagpole near the lamppost cast a 20 foot shadow. Using the properties of similar triangles, find the height, H, of the flagpole
Answer:
15 ft.
Step-by-step explanation:
I will assume that either both objects are standing straight. We can use similar triangles.
We can see that the side 8 is similar to the side 20, since they are both shadows. Therefore, we can set up an equation:
[tex]\frac{6}{8} =\frac{x}{20}[/tex]
we can cross multiply and get:
8x=120
solve for x:
x=15
Therefore, the lamppost must be 15 feet tall (unless it fell down but we won't talk about that)
Helppppp please quick
Answer:
a≥11
Step-by-step explanation:
Because the graph is 11 the minimum and there is no maximum, you can say that a can be equal to 11, or it can also be bigger than 11.
write a polynomial function of least degree with integral coefficients that has the given zeros 0,-2,4
Answer:
[tex]x^3-2x^2-8x[/tex]
Step-by-step explanation:
[tex]x(x+2)(x-4)[/tex]
[tex]x(x^2-2x-8)[/tex]
[tex]x^3-2x^2-8x[/tex]
Find the surface area of the rectangular prism.
6 yd
2 yd
7yd
Answer:
136
Step-by-step explanation:
The formula you use is as follows:
A=2(WL+HL+HW)
You plug in each number to get this equation
A=2[(6*7)+(2*7)+(2*6)]
A=2(42+14+12)
A=2(68)
A=136
hello, please help me thanks:)
Step-by-step explanation:
2x + 5y
first add 2 and 5
and join x and y and it
answer is 2+ 5
=7 and x+y = xy
it axle answer is
= 7xy
A train has 11 train cars. At least 11 passengers are in each train car. No 3 neighboring train cars have more than 50 passengers altogether. What is the maximum possible number of people on the train?
The maximum possible number of people on the train is 183.
Given that a train has 11 train cars, and at least 11 passengers are in each train car, and no 3 neighboring train cars have more than 50 passengers altogether, to determine what is the maximum possible number of people on the train, the following calculation must be done:
50/3 = 16.66 16 + 17 + 17 = 50 16 + 17 + 17 + 16 + 17 + 17 + 16 + 17 + 17 + 16 + 17 = X 16 x 4 + 17 x 7 = X 64 + 119 = X 183 = X
Therefore, the maximum possible number of people on the train is 183.
Learn more about quantities in https://brainly.com/question/21477139
Answer:
189
Step-by-step explanation:
Set up 11 slots on a piece of paper, to simplify since each car must have 11 cars we will be alternating 28,11,11 in a repeated pattern thus getting us 28,11,11,28,11,11,28,11,11,28,11 when you add them up you get 189