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sergeinik [125]
3 years ago
11

Write an equation of the parabola in vertex form.

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0
Vertex Form of Quadratic Equation - MathBitsNotebook(A1 - CCSS Math) f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function...:)
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How do I solve this, it's not 10
guapka [62]

Answer:

26.7

Step-by-step explanation:

This is the answer because 26.7/20 = (16+26.7)/32

When two triangles are similar, it means their sides are also proportional. The reason why it is not ten is because you need to add 10 to 16 to the large triangle as well, which no longer makes it proportional.

To solve, you create a formula.

(16+x)/32=x/20

Multiply both sides by 32 to get rid of the 32 in the left side.

16+x=32x/20

Multiply both sides by 20 to get rid of the 20 right side.

320+20x=32x

-20x on both sides to get all the variables on one side and all the nukbers on the other.

320=12x

Divide both sides by 12 to get x by itself

x=26.66667

4 0
2 years ago
Willie left the mall and traveled toward the town hall at an average speed of 40 km/h. Gabriella left two hors later and travele
mezya [45]

Answer:

<em>3 hours</em>

Step-by-step explanation:

Given that:

Average speed of Willie = 40 km/h

After 2 hours, Gabriella traveled in opposite direction at an speed of 70 km/h.

After some time, they are 410 km apart.

To find:

Number of hours = ?

Solution:

For the first two hours, Willie traveled alone.

Formula for distance:

Distance = Speed \times Time

Distance traveled in two hours by Willie = 40 \times 2 = 80\ km

Now, they both travel in opposite directions.

So the relative speed is = 40 + 70 = 110 km/h

The distance traveled by them = 410 - 80 = 330 km

Time\ taken = \dfrac{330}{110} = 3\ hours

Therefore, the time taken is <em>3 hours.</em>

5 0
2 years ago
Which factor or factors listed below are internal influences on a loans interest rate?
Feliz [49]
<span>Each of the following lines from "The Love Song of J. Alfred Prufrock" contains allusion except 
A. "I am no prophet—and here's no great matter;"
B. "To say: I am Lazarus, come from the dead,"
C. "No! I am not Prince Hamlet, nor was meant to be;"
D. "I shall wear white flannel trousers, and walk upon the beach."
Read the following lines from "The Love Song of J. Alfred Prufrock." </span>
5 0
3 years ago
Please help!!!! <br><br> If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).
Black_prince [1.1K]

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

f(1) = 2

Now, we find f(2) in function of f(1). So

f(1+1) = f(1)^2 - 3

f(2) = f(1)^2 - 3 = 2^2 - 3 = 1

Now, with f(2), we can find the value of f(3).

f(2+1) = f(2)^2 - 3

f(3) = f(2)^2 - 3 = 1^2 - 3 = -2

The value of f(3) is -2.

4 0
3 years ago
Simplify completely quantity x squared plus 4 x minus 45 all over x squared plus 10 x plus 9 and find the restrictions on the va
lord [1]
This can be factored into (x+9)(x+5)/(x+9)(x+1)
once simplified, it's (x+5)/(x+1)
The denominator cannot be negative, so x≠-1

Therefore, the answer is C.
4 0
3 years ago
Read 2 more answers
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