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3 years ago

What constant term should be added to both sides to complete the square on the left side?

Mathematics

1 answer:

grandymaker [24]3 years ago

6 0

Answer:

9/64

Step-by-step explanation:

Given

x² - 3/4x + _____ = 10

Need to complete square on the left side of equation

The square should be in the form of:

(a + b)² = a² + 2ab + b²

We see a = x therefore

2b = -3/4, so
b = -3/8 and
b² = (-3/8)² = 9/64

So the missing constant term is 9/64

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A graph is shown below. Which function represents the graph?

Ede4ka [16]

Given that the graph of a parabola.

We need to determine the function that represents the graph.

Function of the graph:

From the graph, it is obvious, that the x - intercepts of the graph are $x = -3,x=-5$

Thus, the equation can be written as

$y=(x-(-3))(x-(-5))$

Simplifying the terms, we have;

$y=(x+3)(x+5)$

Multiplying, we get;

$y=x^2+5x+3x+15$

Adding the like terms, we have;

$y=x^2+8x+15$

Writing it as function, we have;

$f(x)=x^2+8x+15$

Hence, the function of the graph is $f(x)=x^2+8x+15$

7 0

3 years ago

An earthquake near the Philippines measured 5.1 on the Richter scale. Use the formula R=log(A/Ao) to determine approximately how

hammer [34]

Answer:

If R is equal 5.1, Let x be A/A0

Then we have logx=5.1

Solving this we have x=125893

3 0

3 years ago

Polygon ABCDE is congruent to polygon TVSRK.

nevsk [136]

ok... what is the question?

5 0

4 years ago

(2.49) (-1.7 / 01 (17) What is f(x)?

Kryger [21]

Answer:

x=6765

Step-by-step explanation:

3 0

3 years ago

95x4.5 please help!!!

krek1111 [17]

Answer:

$427.5$

Step-by-step explanation:

$95\times4.5$

Multiply:

$95\times4.5=427.5$

427.5 is your answer.

5 0

3 years ago