Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of g(x) = (x + 2)2 + 2?
Answer:
g(x) = (x -3 )^2 + 2
Step-by-step explanation:
f(x) = (x + 2)^2 + 2
We want to shift this 5 units to the right
The parabola is written in the form
y = a(x-h) ^2 +k where (h,k) is the vertex
The vertex is at ( -2, 2)
We want to shift it 5 units to the right
-2+5 = 3
g(x) = (x -3 )^2 + 2
Answer:
g'(x) = (x-3)² + 2
Step-by-step explanation:
g'(x) = (x+2 - 5)² + 2
can someone please help me with these!! ill make you a brainily
Answer:
11. None of the above
12. 7
Step-by-step explanation:
11. Through exhaustion (Just trying them all) none of them worked and therefore can be ruled out.
12. 12 / 2 = 6 (6 granola bars per box)
42 / 6 = 7 (7 boxes needed to make up 42)
An insect is standing next to a flower. The insect is 1 cm tall and makes a shadow of 0.5 cm. If the flower makes a 15-cm shadow, how tall is the flower?
Answer:
30 cm
Step-by-step explanation:
set up a proportion of insect height over its shadow equals flower height over its shadow, then cross-multiply
1/.5 = x/15
.5x = 15
x = 30
Solve for X. Please!!
Answer:
x = 37.5
Step-by-step explanation:
By Basic Proportionality Theorem:
[tex] \frac{x}{20} = \frac{46 - 16}{16} \\ \\ \frac{x}{20} = \frac{30}{16} \\ \\ x = \frac{20 \times 30}{16} \\ \\ x = \frac{600}{16} \\ \\ x = 37.5[/tex]
Simplify
x(2x + 3) + (x - 3)(x - 4)
Answer:
3x^2-4x+12
Step-by-step explanation:
x(2x+3)+(x-3)(x-4)
2x^2+3x+x^2-3x-4x+12
2x^2+x^2+3x-3x-4x+12
3x^2-4x+12
Answer:
3x² -4x + 12
Step-by-step explanation:
x(2x + 3) + (x - 3)(x - 4)
= 2x² + 3x + x² - 4x -3x + 12
= 3x² -4x + 12
2. Consider the following system of equations.
y = 2x - 4
y = -x + 5
{
a. Identify the slope and y-intercept of the graph of each equation.
b. Based on your answer for part (a), are the graphs of the two lines intersecting lines, the
same line, or parallel lines? Explain your reasoning.
Answer:
see below
Step-by-step explanation:
a.
first equation: slope = 2, y intercept = (0,4)
second equation: slope = -1, y intercept = (0,5)
b.
They are intersecting lines. They don't have the same slope so they aren't parallel and they obviously aren't the same equation so they aren't the same line.
5 points A farmhouse shelters 10 animals. Some are goats and some are ducks. Altogether there are 36 legs. How many ducks and goats are there?
Answer:
2 ducks and 8 goats
Step-by-step explanation:
let goat be g
let duck be d
d + g = 10
ducks have 2 legs, 2d
goats have 4 legs, 4g
2d + 4g = 36
making d the subject in the first equation;
d = 10 - g
put in second equation
2(10 - g) + 4g = 36
20 -2g + 4g = 36
2g = 36 - 20
2g = 16
g = 8
if g is 8
d = 10 - 8
d = 2
2 · y - 8 ÷ 4 when y = 7
Answer:
12
Step-by-step explanation:
Answer:
Step-by-step explanation:
Plugin y = 7 in the expression
y - 8 ÷ 4 = 7 - 8÷ 4 { here division has to be done first as per PEDMAS}
= 7 - 2
= 5
What is the solution to this system of equations?
6.2
-
3y = 12
y = 2x
- 4
Answer:
sorry
Step-by-step explanation:
i don't understand your question
Please I will give brainliest
Answer:
The answer is 91 bags.
Step-by-step explanation:
You divide 45.5 by 0.5
2/5 divided by 3/4
9/4 divided by 3/4
-5/7 divided by 1/3
-5/3 divided by 1/6
2/5 ÷ 3/4 = 8/15
9/4 ÷ 3/4 = 3
-5/7 ÷ 1/3 = -15/7
-5/3 ÷ 1/6 = -10
3(4x+6)=x-4
Solve the question and what property did you use?
Answer:
x = -2
Step-by-step explanation:
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
They are vertical
x=32.5
Step-by-step explanation:
75 + 4x-25 = 180
4x = 180+25-75
4x=130
x=32.5
a part of a line with endpoints on both ends a(n):
The answer is line segment
Answer:A part of a line with endpoints on both ends is a(n):
A line with 2 endpoints is called a line segment. We know that it is a segment because the endpoints make the line finite
Step-by-step explanation:
I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.
Answer:
A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.
Step-by-step explanation:
glencoe geometry unit 9: whoever can answer the page gets 100 points and brainliest
Step-by-step explanation:
14. K' = x + a, y + b
= -1 + 2, 6 + 3
K' = 1, 9
K" = (x, y) → (-x, y)
= (1, 9) → (-1, 9)
K" = -1, 9
15. D. Octagon
Since it has 8 angles, of 360 ° is divided by 8 angles, then each corner has an angle of 45 °
16. P' = x + a, y + b
= -2 + 6, 4 + 5
P' = 4, 9
17. H' = x + a, y + b
= 5 + 10, 4 + (-11)
= 15, -7
18. A (6, -1)
A' = (x, y) → (x, -y)
= (6, -1) → (6, -(-1)
= 6, 1
19. J' = x + a, y + b
= -2 + (-3), 1 + (-3)
= -5, -2
J" = (x, y) → (x, -y)
= (-5, -2) → (-5, -(2))
= -5, -2
#CMIIW
finf the total surface area of a cylinder with a base radius of 5 inches and a height of 5 inches
Answer:
314.16
Step-by-step explanation:
The formula is A=2πrh+2πr2, you just plug in the numbers
I hope this helps :)
9 + 7 + z + z + 5 + 7
Answer:
2(14+z)
Step-by-step explanation:
9+7+5+7
16+5+7
21+7
28
28+z+z
28+2z
2(14+z)
M,p, and z represent the lengths of the three sides of this right triangle. Select all the equations that represent the relationship between m,p, and z .
Answer:
The equations are:
[tex]m^2 = p^2 + z^2[/tex] [tex]m^2 = z^2 + p^2[/tex]
[tex]z^2 + p^2 = m^2[/tex] [tex]p^2 + z^2 = m^2[/tex]
Step-by-step explanation:
Given
See attachment for triangle
Required
Select all true equations
From the attachment:
[tex]m = hypotenuse[/tex]
[tex]p\ and\ z = other\ legs[/tex]
Using Pythagoras theorem:
[tex]m^2 = p^2 + z^2[/tex]
This can be rewritten as:
[tex]m^2 = z^2 + p^2[/tex]
or
[tex]z^2 + p^2 = m^2[/tex]
or
[tex]p^2 + z^2 = m^2[/tex]
Can someone help me with this question? Explanations would be nice. Question: Right ΔKLM with m∠J= 45°, leg JK= 4√3
(Question was resubmitted because of misspelling.)
Answer:
Step-by-step explanation:
HELP ASAP PLEASEEEEE
Answer:
can't
can
can't
can
Step-by-step explanation:
sum of all angles should equal 180
Answer:
I certainly can't help you
What is one individual member of the sample called?
Answer:
there is no sample
Step-by-step explanation:
if you put a picture then someone can help you
answer algebra 1 problem below
Answer:
Step 1: multiply
10*10=100*10=1000*10=10000
Step 2: write 1st one out.
(8*10000)
Step 3: multiply
8*10000=80000
________________-
Step 1: multiply
10*10=100*10=1000*10=10000*10=100000*10=1000000*10=10000000*10=100000000*10=1000000000*10=10000000000*10=100000000000*10=1000000000000
step2: multiply
2*100000000000=200000000000
step 3: write it out
80000*200000000000
step 4: solve
80000*200000000000=1.6 to the power of 17
Step-by-step explanation:
so your answer is
1.6 to the power of 17
that was a lot yw
All corners shown are right angles. 2 in. 3 in. 3 in. 2 in. 4 in. 4 in. 2 in. 10 in What is the perimeter of the shape? O A. 28 in. B. 30 in. OC C. 38 in. O D. 42 in.
Answer: 30
Step-by-step explanation:
Can someone plz help me!!!
Answer:
The answer is no because 5 is greater than 3
What is the volume of Alina’s model in cubic centimeters
HELP ASAP ME PLS I GIVE BRAINLY
i think D all equivalent I'm not sure but I hope that helped you.
find the area of the figure below
Answer:
36 inches²
Step-by-step explanation:
[tex]A=bh[/tex] where b is the base length and h is the height
The base length of the parallelogram is 12 inches and its height is 3 inches. Plug these values into the equation.
[tex]A=(12)(3)\\A=36[/tex]
Therefore, the area of the figure is 36 inches².
I hope this helps!
Answer:
yes the answer is 36in. Which mean the person is right too
120% of what number is 3.6?
1. Solve the simultaneous equations 3x - 2y = 4and 2x + 3y = -6 using elimination method.
Answer:
Multiply the first equation by 2
2(2x+y=5) to get 4x + 2y = 10
add the second equation 3x-2y=4
4x + 3x + 2y + -2y = 10 + 4
7x = 14
x = 2
...
Multiply the first equation by 3 and the second equation by -2 then add
3(2x+y=5) to get 6x + 3y = 15
-2(3x-2y=4) to get -6x + 4y = -8
add them
6x + -6x + 3y + 4y = 15 + -8
7y = 7
y = 1
...
x = 2 , y = 1
(2, 1) is the solution
...
check
2(2) + 1 = 5
4 + 1 = 5
5 = 5
Correct
Hope it helps
Please mark me as the brainliest
Thank you