Answer: -9 = a(1 - 3)² + 3
Step-by-step explanation:
Vertex Form Equation:
y = a(x - h)² + k
vertex: (h, k) which means
h = 3
k = 3
because your vertex is (3, 3).
Your point is (1, -9) which is (x, y).
This means
x = 1
y = -9
Now, plug everything into your Vertex Form Equation:
-9 = a(1 - 3)² + 3
That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.
If a is positive, the parabola opens up. If a is negative, the parabola opens down.
Hope this helps!
Which list shows the absolute values in order form least to greatest?
Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.
a) Find the common ratio of this sequence.
b) Find the sum to infinity of this sequence.
Answer:
a) Find the common ratio of this sequence.
Answer: -0.82
b) Find the sum to infinity of this sequence.
Answer: 2.2
Step-by-step explanation:
nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]
where
a is the first term
r is the common ratio and
n is the nth term
_________________________________
given
a = 4
4th term = -2.196
let
common ratio of this sequence. be r
[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]
a) Find the common ratio of this sequence.
answer: -0.82
sum of infinity of geometric sequence is given by = a/(1-r)
thus,
sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2
Please help me :( someone anybody just once I won’t ask again
Answer:
1) 77
2) -11
3) -11
4) 7
5) 29
Step-by-step explanation:
Just sub the x into the equation.
*I recommend checking my answers, but this is what I would put/
A scale drawing of an office space uses a scale of 1 in. : 4 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space?
Answer: 48 yards
Step-by-step explanation:
From the question, we are informed that a scale drawing of an office space uses a scale of 1 in. : 4 yd.
When the scale drawing has an area of 12 square inches, to get the area of the actual office space, we multiply the given number by 4 since the actual office space is 4× the scale drawing. This will be:
= 12 × 4 yards
= 48 yards
Jenni works at a salon and earns a 15% commission on her total sales. How much
must she sell in total in order to earn $90 in one day?
Answer:
$600
Step-by-step explanation:
90/0.15
264 equals the sum of 96 and t
Write the sentence as an equation.
Answer:
96+t=264
Step-by-step explanation:
please help me with this! thank you so much!
Answer: Look at the photo
Step-by-step explanation:
[tex](3x + 3) + (4x + 2) = 180\\7x + 5 = 180\\[/tex]
Substract 5 from both sides
[tex]7x = 175[/tex]
Divide by 7 from both sides
x = 25
Please help me find the domain and range
Answer:
Domain: (-∞,-1) U (-1,∞)
Range: (-∞,1) U (0,∞)
values of x and y
to
135°
Step-by-step explanation:
Answer:
xy/100=135
xy=13500
x=13500/y
-8(s+4) = -60
What is the value of s?
Answer:
s = 3.5
Step-by-step explanation:
Lets begin by distributing -8 into the two values in the paranthesis, s and +4. By doing this, we get -8s -32 = -60
We can now take that -32 and bring it to the right side of the equation, making it now -8s = +32 -60
After simplyfing, we now have -8s = -28. Dividing -28 by -8 , we get positive 3.5.
Solve the system of equations using substitution.
- 4x + 4y= 8
y= -2x – 10
-
O (4, -18)
O (12, -34)
o(-4,-2)
O (-2,-6)
Answer:
(- 4, - 2 )
Step-by-step explanation:
Given the 2 equations
- 4x + 4y = 8 → (1)
y = - 2x - 10 → (2)
Substitute y = - 2x - 10 into (1)
- 4x + 4(- 2x - 10) = 8 ← distribute and simplify left side
- 4x - 8x - 40 = 8
- 12x - 40 = 8 ( add 40 to both sides )
- 12x = 48 ( divide both sides by - 12 )
x = - 4
Substitute x = - 4 into (2) for corresponding value of y
y = - 2(- 4) - 10 = 8 - 10 = - 2
Solution is (- 4, - 2 )
which posture or theorem proves that these two triangles are congruent
ASA Congruence
AAS Congruence Theorem
HL Congruence Theorem
SAS Congruence postulate
Answer:
AAS Congruence Theorem
x+6y=-36 solve for y
Answer:
y=−1/6x−6
Step-by-step explanation:
How do you work out 3^2+2^3 indices
3^2 +2^3
9+2^3
9+8
Answer : 17
5.6 divided by 7
A:8
B:7
C.8
D.7
Other:
Answer:
C
Step-by-step explanation:
Dude, just look it up.
I want the answer PLZ
Answer:
3
Step-by-step explanation:
They have the same side length and its shown
What is x equal to? And what is the scale factor?
Answer:
1. 225 km
2. 95 km
3. 412.5 km
Step-by-step explanation:
For this one, it is saying that for every 2 cm, that is 50 km. So if you look at 9 cm, you can divide that by 2 cm to get 4.5 cm, this is what you can multiply by 50 km to get 225. Or you can look at it this way, for every 1 cm, the actual distance is 25 km. Then you can multiply each value by 25 to get your answer. Whichever one works for you.
Plz help I don’t get what this is
Answer:
A) 98.94 sq. meters
B) 42 sq. meters
Step-by-step explanation:
A) So first we calculate the area for the square which is 15*20 = 300. Then we calculate the area of the circle which is pi*r^2 and in this case the radius is 4 which is 1/2 of 8. The area is approx. 201.06. Then we subtract that from 300. 300-201.06 = 98.94. The answer for A) is approx. 98.94
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
B)First we calculate the area of the whole square which is 8*6 = 48. Then the area of the garden which is 2*3 = 6. 48-6 = 42. The answer is B) is 42 then.
the population of China is about 1.4 x 10 ^ 9 people. Julie grew up in a town with a population of about 7,000 people. How many times greater is the population of China than Julies town? Please answer this in scientific notation
Answer:
200000
Step-by-step explanation:
I believe that 200000x7000 = 1400000000 (The answer to the China population equation), therefore should be correct. Hope this helped.
What is the y-intercept in this problem?
Answer:
(0, -1) I think
Step-by-step explanation:
I have not done this in a while
Hope this helps, though.
Does anyone know this!? Pick the one the correctly describes it!
If its correct ill mark you as the best answer!
Answer:
d- the slope is undefined
Step-by-step explanation:
What is the slope of the line that passes through the points (4, 6) and
(-16, -18)?
Answer:
-3 / 5
Step-by-step explanation:
18-6 / -16-4
12 / -16-4
12 / -20
-3 / 5
Help me please !!!!!!!!
Answer: Since x is 157 degrees the missing value,m, is 23 degrees because a line is 180 degrees, n is also 23 degrees so it would be the same
Step-by-step explanation:
Tara buys clay in a tube that is 2 feet long.
She is making clay fl owers and each fl ower
requires __
3
4 foot of clay. How many whole
fl owers can Tara make from the tube of
clay? Tara used the following model to
help her solve the problem.
brainliest and 60 points ;)
8 * 65 * 7 * 321 * 0 * 1=??
Answer: 0
Step-by-step explanation:
Any expression multiplied by 0 = 0
Solve for c.
2c^2 = 338
c = ?
c = ?
Answer:
C=13, -13
Have a wonderful day!!!
please help 8(10+8)
Answer:
its 180.... that's the answer
Answer:
it is 80 + 64
Step-by-step explanation:
All you have to do is multiply 8 by the numbers inside the parenthesis
What is the value of x
Answer:
98 degrees
Step-by-step explanation:
First calculate the entire triangles angles:
180 - 53 - 45 = final angle of triangle
82 = final angle of triangle
Using the straight line rule for angles, x and the inner angle must equal to 180 degrees:
180 - 82 = x
98 = x
Angle x is 98 degrees.
Simplify 4/9 - 5/12 + 1/4
Answer:
5/18
Step-by-step explanation:
The simplified answer is 5/18
Step-by-step explanation:
the answer is
0.27777777777
Simplify (1/2)^4.......................................................................
Answer:
[tex]-1/16[/tex]
Step-by-step explanation:
Answer:
1/16
Step-by-step explanation:
(1/2 × 1/2 × 1/2 × 1×2)
(1/4 × 1/4)
(1/16)