Answer:
The equation is;
y = x/2
Step-by-step explanation:
General form of the equation of a straight line is;
y = mx + c
where m slope
For the given equation , the slope is -2
If two lines are perpendicular, then the product of their slopes is -1
So the slope of the second line will be
-2 * m2 = -1
m2 = -1/-2
m2 = 1/2
Using the point-slope form, we have
y-y1 = m(x-x1)
Here (x1,y1) = (0,0)
y-0 = 1/2(x-0)
y = 1/2x or simply
y = x/2
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additional per mile driven. The second plan has an initial fee of and costs an additional per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Complete question :
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Answer:
200 miles
Step-by-step explanation:
Let miles driven = x
First option :
57.98 + 0.14x
Second option :
53.98 + 0.16x
First option = second option
57.98 + 0.14 = 53.98 + 0.16x
57.98 - 53.98 = 0.16x - 0.14x
4 = 0.02x
x = 200
200 miles
Pls help I don’t under stand and I’ve been on this question for 2 hours
Answer:
Lumberrum2 [tex]x^{2} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi \alpha \frac{x}{y}[/tex]
Step-by-step explanation:
Answer:
x = 20
p = 144
y = 144
Step-by-step explanation:
Vertically opposite angles are equal.
2x - 4 = 96 - 3x
2x + 3x -4 = 96
5x - 4 = 96
5x = 96+4
5x = 100
x = 100/5
x = 20
2x - 4 = 2*20 - 4 = 80 - 4
= 36
p + (2x - 4) = 180 {linear pair}
p + 36 = 180
p = 180 - 36
p = 144
y = p {vertically opposite angles}
y = 144
The approximate areas of two states are listed below. Texas: 2.69\times10^5 square miles Rhode Island: 1.21\times10^3 square miles Determine the difference, in square miles, between the area of Texas and the area of Rhode Island. Write your answer in scientific notation.
Answer:
10 times 5 =50 (2.69 x 50) = 134.5
10 times 3=30 (1.21x30)= 36.3
Step-by-step explanation:
The difference between the area of Texas and Rhode Island in square miles and scientific notation should be (2.68 × 10⁵) square miles.
Calculation of the area:Area of Texas = (2.69 × 10⁵) square miles = 269000 square miles
Area of Rhode Island = (1.21 × 10³) square miles = 1210 square miles
Now
Difference between the Area of the Texas and Rhode Island should be
= 269000 - 1210
= 267,790 square miles
= (2.68 × 10⁵) square miles.
Learn more about an area here: https://brainly.com/question/4329157
Which of the following is the linear parent function?
A. F(x) = x
B. F(x) = x^2
C. F(x) = |x|
D. F(x) = 2x
Answer:
A. F(x)=x
Step-by-step explanation:
Laura bought a bike on sale for $7.16 off the list price. The discount was 8%. What was the list price?
please help me! (will mark branliest)
Answer:
0.5728
Step-by-step explanation:
8*7.16/100 =0.5728
For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)
Answer:
(fog)(x) = 5x+45(gof)(x) = 5x+9(fog)(3) = f(g(3)) = f(12) = 60Step-by-step explanation:
Given
f(x) = 5xg(x) = x + 9Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
1. Angelina received 10% off a $50 pair of shoes. How much did she save?
Answer:
$5
Step-by-step explanation:
Multiply 0.10 by $50
5
So Angelina saved $5
Hope this helped :)
can someone help plz
Answer:
I think it B
Step-by-step explanation:
I think it is B
please help! 1 quick question! xoxo
What is the value ofx in the equation X=-45
O -75
O -27
O 27
O 75
Due in 20 mins pls help!
Answer:
A.
Step-by-step explanation:
it is in y=mx+b format
Hi Someone plz help me ty have a great day.plz see the picture
Answer:
Your answer is 34 1/2, have a great day and happy holidays!
Step-by-step explanation:
Answer:
34 1/2
if you use the distributive property and multiply 11×3 you would get 33 then multiply 1/2×3 you get 3/2 or 1 1/2 then add 33+1 1/2 and you get 34 1/2. hope this helped.
I need help please #19
Answer:
40
Step-by-step explanation:
Graph g(x) = –2x – 3
Answer:
The slope would be -2 with a y-intercept of (0, -3).
I hope this helped to answer your question.
Parker grew
21 inches each year for the past 3 years. How many inches total has Parker grown in the past 3 years
Answer:
63
Step-by-step explanation:
21*3
I need help on this question
Answer:
A
Step-by-step explanation:
As an estimation we are told 5 miles is 8 km.
Convert 100 km to miles.
Answer:
62.5 miles
Step-by-step explanation:
The answer is 62.5 miles because 5 divided by 8 is 0.625 and 0.625 multiplied by 100 is 62.5
true or false: the points (6, 13), and (21, 33) and (99, 137) all lie on the same line. th equation of the lines is y + /3x + 5. explain or show your reasoning.
Answer:
point A (6,13) lies on the equation. True
given point B(21,33) lies on the equation. True
given point C (99, 137) lies on the equation. True
The equation that was given was y = 4/3x + 5
Now,check the given equation for the given points.
1) A (6,13)
Substitute x = 6 in the given equation y = 4/3x +5
y = 4/3(6) + 5 = 4(2) + 5 = 8+5 = 13
y=13
the given point A (6,13) lies on the equation.
2) B (21,33)
Substitute x = 21 in the given equation y=4/3x+5
y=4/3(21) + 5 = 4(7) + 5=28+5=33
y = 33
the given point B(21,33) lies on the equation.
3) C (99, 137)
Substitute x = 99 in the given equation y = 4/3x + 5
y=4/3(99) + 5 = 4(33) + 5 = 132 + 5 = 137
y = 137
the given point C (99, 137) lies on the equation.
There is your answer
-21+(-59) what is the answer
Answer:
-80
Step-by-step explanation:
why is -16 the leading coefficient in quadratic applications
Answer:
Step-by-step explanation:e equation has a leading coefficient of 1 or if the equation is a difference of squares. The zero-factor property is then used to find solutions. ... Another method for solving quadratics is the square root property. The variable is squared.
what is the formula for 1, -3, 9, -27?
arithmetic or geometric?
Answer:
The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]
Step-by-step explanation:
The terms of the sequence are 1, -3, 9, -27
∵ -3 ÷ 1 = -3
∵ 9 ÷ -3 = -3
∵ -27 ÷ 9 = -3
∴ There is a common ratio between each two consecutive terms
∴ The sequence is geometric
∵ The formula of the geometric sequence is a[tex]_{n}[/tex] = a [tex]r^{n-1}[/tex], where
a is the first term r is the common ratio∵ The first term is 1
∴ a = 1
∵ The common ratio is -3
∴ r = -3
→ Substitute them in the formula above
∵ a[tex]_{n}[/tex] = (1) [tex](-3)^{n-1}[/tex]
∴ a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]
∴ The formula of the geometric sequence is a[tex]_{n}[/tex] = [tex](-3)^{n-1}[/tex]
Plz help I’m am getting timed
Answer:
2/8
Step-by-step explanation:
2/8 or 1/4
Answer: 2/8
Step-by-step explanation:
yuh
One to one function and value
Answer:
yes
Step-by-step explanation:
no two points have the same y value
ASAP solve 21x+6=300 30 points
Answer:
X = 14
Step-by-step explanation:
Answer:
x-14
Step-by-step explanation:
Sheila has 14 1/2 pounds of potato salad. She wants to divide the potato salad into containers, each of which holds 1 1/4 pounds. How many containers does she need? Complete the explanation.
Answer:
11 3/5 containers
Equivalent to 11.6 containers
Step-by-step explanation:
Total pounds of potato salad = 14 1/2 pounds
Pounds in each container = 1 1/4 pounds
How many containers does she need?
Number of containers needed = Total pounds of potato salad / Pounds in each container
= 14 1/2 ÷ 1 1/4
= 29/2 ÷ 5/4
= 29/2 × 4/5
= (29×4) / (2×5)
= 116/10
= 11 6/10
= 11 3/5 containers
Equivalent to 11.6 containers
y=-4x+2
At point (1,y), what is y?
Can anyone simplify this??
Answer:
[tex]3^{12}[/tex]
Step-by-step explanation:
[tex]([/tex][tex]3^{5}[/tex][tex])^{2}[/tex]
You multiply the exponents to get:
[tex]3^{10}[/tex]
Then you divide it by [tex]3^{-2}[/tex]
When dividing exponents, you subtract.
10 - - 2 = 12 so the exponent is 12.
That leaves us with:
[tex]3^{12}[/tex]
A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance
from point A to point C is 16 ft.
A
12 ft
B
15 ft
С
What is the distance from point A to point B in feet?
Answer:7
Step-by-step explanation:
-2x + y = -4
Need help asap
Answer:
y = 2x - 4
Step-by-step explanation:
Can I ask which variable you are solving?
PS I will assume you need the formula y=mx+b
-2x + y = - 4
Here you would translate the m and x variables to the right side making them positive.
y = 2x - 4
Now the formula is in proper form
Hey :)
If you are solving for x, the answer is: x = y/2 + 2
-2x + y = -4
Subtract y from both sides
−2x = −4 − y
The equation is in standard form:
−2x = − y −4
Divide both sides by −2:
-2x/-2 = -y - 4/-2
Dividing by −2 undoes the multiplication by −2
x = -y -4/-2
Divide −4 −y by −2
x = y/2 + 2
However, if you are solving for y, the answer is: y = −4 + 2x
−2x + y = −4
Add 2x to both sides:
y = −4 + 2x
Hope this helps!
PLEASE HELP I BEG OF YOH
Answer:
second
Step-by-step explanation:
their angles are equal and their sides are proportional if the figures are similar
Answer:
B, Their angles are equal and their sides are proportional.
Step-by-step explanation:
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.