Answer:
y-4 = 4/9(x-10)
Step-by-step explanation:
Given the equation of the line g to be y = -9/4 x - 1.
To find the equation of a line h perpendicular to this line, the following steps must be taken;
First find the slope of the known line g
The standard equation of a line is y = mx+c where
m is the slope
c is the intercept
Comparing this equation with the given equation y = -9/4 x -1, it can be seen that the slope of the line g is -9/4
Next is to find the slope of the line h
Since the line g is perpendicular to h, then the product of their slope will be -1 i.e mh*mg = -1
mh = -1.mg
mh = -1/(-9/4)
mh = -1*-4/9
mh = 4/9
Hence the slope of the line h is 4/9
Find the intercept of line h
To get this, you will substitute the slope m and the point into the equation y = mx+c
m = 4/9
(x,y) = (10,4)
4 = 4/9(10) + c
4 = 40/9 + c
c = 4-40/9
c = (36-40)/9
c = -4/9
Hence the intercept of the line h is -4/9
Finally, find the equation of the line h in slope-intercept form
The slope-intercept form of a line is expressed as y = mx+c
y-y0 = m(x-x0)
Given
m = -4/9
x0 = 10
y0 = 4
Substitute:
y-4 = 4/9(x-10)
Hence the equation in slope-intercept form is y-4 = 4/9(x-10)
Write down the formula for the nth number and calculate the 10th number and the 101th number of the following sequence: 74, 58, 42, ...
Answer:
nth number: 74+(n-1)*(-16)
Step-by-step explanation:
A room measures 12 feet by 12 feet. A couch is 10 feet and 6 inches long. If you center the couch in the middle of the room, how far will each end of the couch be from the nearest wall?
inches
Answer:
3/4 feet or 0.75 feet.
Step-by-step explanation:
12 feet - 10.5 feet is 1.5 feet.
1.5 / 2 is 0.75 of a feet.
3/4 feet
Hope this helps.
Lucy has a bag of marbles. She shares one third of them with Carol, keeping one quarter for herself. Amrita joins them, so Lucy gives the rest of the marbles to her. If Carol has seven more marbles than Lucy, how many does Amrita have?
Please provide working out.
Answer:
Is this from the VHAP
Step-by-step explanation:
"If x = y, then x + 4 = y + 4" represents the
property of equality.
OA) substitution
B) subtraction
C) addition
D) transitive
Answer:
C
Step-by-step explanation:
Look in your old textbooks
Which linear function has the same y-intercept as the one that is represented by the graph? On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3). y = 2 x minus 4 y = 2 x minus 3 y = 2 x + 3
Please help
lots of points and brainliest to best answer
Answer:
y = 2 x + 3Step-by-step explanation:
Given Line passing through points (-4, 0) and (0, 3)To find A line with same y-interceptSolutionFrom the points we can see the y-intercept of the line is 3 as it passes through point (0, 3)
Answer options
y = 2 x - 4y-intercept is -4 ≠ 3, incorrecty = 2 x - 3 y- intercept is -3 ≠ 3, incorrect y = 2 x + 3 y- intercept is 3 = 3, correctAnswer:
c
Step-by-step explanation:
just need the answers for these 3 questions please, and how to do them (:
Answer:
a) 7
b)64
c)2
Step-by-step explanation:
look at images
Answer:
x = 2
Step-by-step explanation:
The topic here is "fractional exponents."
Review: 2^3 = 8 (this is the cube of 2), and so the inverse function is
8^(1/3) = 2 ("8 raised to the fractional exponent 1/3 is 2"
Question a) 49^(1/2) ("49 to the power 1/2") can be rewritten as
(7^2)^(1/2), which simplifies to 7^(2*1/2) = 7^1 = 7
Caution: this is exponentiation, not division. So 49^(1/2) does not equal 49/2.
Question b) ( )^(1/3) = 4
I would prefer to write this as x^(1/3) = 4 and set the goal of finding the value of the base, x.
Then x^(1/3) = 4 ("x raised to the power 1/3 is 4")
Let's elimiinate the fractional exponent on the left by cubing both sides of the equation:
{x^(1/3)}^3 = 4^3, or, after simplification,
x^1 = 64, or, in simplest form,
x = 64
Question c)
Notice that the base here is 1/100
and that the square root of 1 is 1 and that of 100 is 10.
Therefore, the given
{1/100} is equivalent to {1/10)^2
and so we have:
1 1
(------------)^(1/x) = ------- (we are to find x)
10^2 10
Note that 10 is the square root of 10^2, also the square root of 100.
So let's take the square root of 10^2. We get 10.
Therefore, try x = 2 and see whether the given equation is true:
1 1
{---------)^(1/2) = ------
100 10
The square root of 1 is just 1. The square root of 100 is 10.
Therefore the above equation becomes
1 1
----- = ----- and so x = 2 is correct.
10 10
You had 23 dollars to spend on 4 avocados. They were very green. After buying them you had 11 dollars. How much did each avocado cost?
Answer:
$3
Step-by-step explanation:
Because you subtract $23-$11 to get the total you spent on avocados then you divide 12/4 because you bought 4 avocados
Answer:
3 dollars for each avocado.
Step-by-step explanation:
Since you had 23 dollars in the beginning and 11 dollars in the end, subtract to find out how much was used for the avacados.
23-11=12
Next, since you bought 4 avocados, you divide 12 by 4 to find out how much each cost.
12/4=3
Each avocado cost 3 dollars.
You can check by multiplying 3 by 4.
3x4=12
Then, add the 12 dollars spent to the 11 dollars left.
12+11=23 dollars
The rational numbers below are arranged in descending order. Select all of the numbers that could
come next.
4
3
93%, 0.7,
A.
1 x 10-2
B.
C.
65%
5
5
D.
E.
06
F.
2.3 x 102
2.
Answer:
f
Step-by-step explanation:
What is 2+2 how do you know?
Answer:
is 4
Step-by-step explanation add
A cup slides off a 1.1\,\text m1.1m1, point, 1, start text, m, end text high table with a speed of 1.3\,\dfrac{\text m}{\text s}1.3
s
m
1, point, 3, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction to the right. We can ignore air resistance.
What was the cup's horizontal displacement during the fall?
Answer:
0.616m
Step-by-step explanation:
Simplify the expression.(1/3)4
Answer:
4/3 or 1 1/3
Step-by-step explanation:
which part of this graph shows a nonlinear relationship
Answer:
B
Step-by-step explanation:
part 4 of the graph is a curve not a straight line.
linear means straight line and non-linear means not a straight line
Answer:
It b Number 2
Step-by-step explanation:
I'LL GIVE BRAINLIEST IF YOU HELP ME
Of the 16,000 applicants to the University of Texas at San Antonio, 1/4 were accepted, and 3/8 of those accepted decided to attend. How many of the original applicants decided to attend the University of San Antonio?
f(x) = -x2 + 10x - 17 a. Axis of Symmetry: b. Vertex: (Max, Min) c. Domain: d. Range:
Answer:
Below in bold.
Step-by-step explanation:
f(x) = -x^2 + 10x - 17
Convert to vertex form by:
f(x) = -(x^2 - 10x) - 17
= - [(x - 5)^2 - 25] - 17
= -(x - 5)^2 + 25 - 17
= -(x - 5)^2 + 8,
a. So axis of symmetry is x = 5.
b. Vertex is (5, 8) Max.
c. Domain is All real x.
d. Range is (-∞, 8].
I need help click for the screenshot
Answer:
heres some points
(x,y)
(0,1)
(3,0)
(6,-1)
(-9,4)
heres an attacthed photo to help you too! I recomment DESMOS! its a great tool
Answer:
I put the points below, i hope you know how to graph them but if you dont let me know.
Step-by-step explanation:
x, y
-15, 6
-12, 5
-9, 4
-6, 3
-3, 2
0, 1
6, -1
9, -2
12, -3
15, -4
if you want more points let me know, also the numbers in between were decimals so that's why I didn't include them.
Simplifiy 2x(x + 5)
Answer:
2x^2 + 10x
Step-by-step explanation:
Answer:
2x^2+10x
Step-by-step explanation:
Somebody help plz will give brainliest
Answer:
Integers: -25, 3, -5, 0
Not Integers: 1/2, 8.1
Step-by-step explanation:
Integers are whole numbers that appear on a number line. Any number that is not a whole number is not an integer.
Answer:
Integers::3,-5,0
Not Integers:-2.5,1/2,8.1
Step-by-step explanation:
Integers are WHOLE numbers both + and - they cannot be fractions or decimals
The graph of a line passes through the two points (-2,1) and (2,1).
part 1
Graph the line through the two points (-2,1) and (2,1). Based on the graph of the line only, determine the slope and y-intercept of the line.
part 2
write the equation, in slope-intercept form, of the line that passes through the points (-2,1) and (2,1)
complete your work in the space provided or upload a file that can display math symbols if your work requires it. be sure to include all of the answers for part 1 and 2
Answer:
see below
Step-by-step explanation:
part 1
(-2,1) and (2,1)
Both points have the same y value
The slope is zero since it is a horizontal line and it crosses the y axis at y =1 so the y intercept is (0,1)
part 2
The equation of the line in slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 0x+1
y =1
Answer:
Answer:
see below
Step-by-step explanation:
part 1
(-2,1) and (2,1)
Both points have the same y value
The slope is zero since it is a horizontal line and it crosses the y axis at y =1 so the y intercept is (0,1)
part 2
The equation of the line in slope intercept form is
y= mx+b where m is the slope and b is the y intercept
y = 0x+1
y =1
https://brainly.com/question/18203978
Step-by-step explanation:
now you can add the answerer as brainliest.
The straight line depreciation equation for
a motorcycle is y = -2.150x + 17,200.
(Express your answers as whole
numbers.)
a. What is the original price of the
motorcycle? $17,200.00
b. How much value does the motorcycle
lose per year?
c. How many years will it take for the
motorcycle to totally depreciate?
Given :
The straight line depreciation equation for a motorcycle is y = -2,150x + 17,200.
To Find :
a. What is the original price of the motorcycle? $17,200.00 ?
b. How much value does the motorcycle lose per year?
c. How many years will it take for the motorcycle to totally depreciate?
Solution :
y = -2,150x + 17,200.
Here, y is price and x is unit of time in years.
a)
We know, original price is given when x =0.
So, y = 0 + 17,200
y = $17,200.00
b)
Value motorcycle lose per year is coefficient of x i.e $-2,150.00
c)
Form total depreciate :
y = 0
0 = -2,150x + 17,200
x = 17,200÷2,150
x = 8 years.
Hence, this is the required solution.
which actions are most likely to lead to the discovery of new info
Answer:
the answer is D :3
Step-by-step explanation:
you must use the dividen to answer the question
Any help would be nice
Answer:
a=3
Step-by-step explanation:
if you are solving for a
I need help please! dont guess please I really need the correct answer this is a test quesion1
Select the correct answer
simplify:
3 x 3^2 + 8 ÷ 2 - (4 + 3)
A. 30
B. 24
C. 23
D. 32
Answer: B
Step-by-step explanation:
Answer the riddle!
I speak without a mouth and hear without ears. I have no body, but I come alive with wind. What am I?
PS: DO NOT LOOK UP!
You are an echo, I believe. Right?
64,000 in
a fraction
Answer:
undefined
Step-by-step explanation:
can you help me on this problem
Answer:
21 com. 11 com. 15 com. 16 com. 29 prime. 13 prime.
Step-by-step explanation:
Answer:prime 29,11,13 composite 21,15,16
Step-by-step explanation:
Triangle ABC is a right triangle.
Triangle A B C is a right triangle. Angle A C B is 90 degrees, angle C B A is 31 degrees, and angle B A C is 59 degrees.
What is the relationship between angles A and B?
They are congruent.
They are complementary.
They are supplementary.
There is no relationship between them.
Answer:
they are complementary angles and as thry both are the realeation between angle a and b
The relationship between angles A and B is that, they are complementary. option B
How to determine the relationshipFor angle ACB, the angle is at C = 90 degrees
For angle CBA, the angle is at B = 31 degrees
For angle BAC, the angle is at A = 59 degrees
Note that complementary angles are angles that sum up to 90 degrees
Angle at A = 31 degrees
Angle at B = 59 degrees
Sum of angles A and B = 31 + 59 = 90 degrees
Thus, the relationship between angles A and B is that, they are complementary. option B
Learn more about complementary angles here:
https://brainly.com/question/16281260
#SPJ9
Greatest common factor and disruptive property: rearrange 16 and 36 to look like this _______(_____+_____)
ASAP MULTIPLE CHOICE WILL MARK BRAINLIEST
Identify the scale factor used to graph the
image below.
determine the scale factor
2
4
-4
1/4
Answer:
answer is 4
Step-by-step explanation:
Four identical rectangles form the square. What is the perimeter of the square, if the perimeter of each rectangle is 40 inches?
Answer:
64
Step-by-step explanation:
so basically first I wanted to find the width, if you draw a model, it would be easy, so
I make 4 rectangles, one on top of the other for all of them.
so if you turn it clockwise 90 degrees, the rectangles are the same so if you draw them together then they over lap you can see that you can make a x:y for the lengths. If the width of the rectangle is 1 then the length of the rectangle is 4, 1:4 , so now we use the perimeter of 40 so now if the width is w and the length is l then wl is 20 (40/2) si niw 20/(1+4) which is 20/5 which is 4, so now we know that the width of the rectangle is 4 and the length is 4x4 which is 16 so now we can calculate the perimeter of the square, we know that the side length of the square is 16, so all we have to do is 16x4 which is 64.
Juan drove from his mother's house to his apartment at Arkansas Tech. After driving for 20 minutes, he was 62 miles away from his apartment. After driving for 32 minutes he was only 38 miles away. The time driving and the distance away from his apartment form a linear relationship. What is the independent and dependent variables
Given:
After driving for 20 minutes, Juan was 62 miles away from his apartment.
After driving for 32 minutes Juan was only 38 miles away.
The time driving and the distance away from his apartment form a linear relationship.
To find:
The independent and dependent variables.
Solution:
If the value of a variable depends on the another, then it is called dependent variables.
If the value of a variable does not depend on the another, then it is called independent variables.
In the given problem, the distance of Juan from his apartment depends on the time he drove. So,
Dependent variable = Distance of Juan from his apartment in miles.
Independent variable = Time he drove
