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3 years ago

Factor the perfect square trinomial 25x^2-60x+36

Mathematics

1 answer:

zaharov [31]3 years ago

4 0

Since it is a perfect square trinomial, it is of the form:

a^2x^2-2abx+b^2 which simplifies to (ax-b)^2

Therefore:

sqrt(a)=sqrt(25)=5

sqrt(b)=sqrt(36)=6

Plug in a and b:

(ax-b)^2

(5x-6)^2

Test to make sure it did fit the formula:

-2abx=-60 (where x is 1)

-2(5)(6)=-60

-2(30)=-60

-60=-60

Answer:

(5x-6)^2

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

inn [45]

Answer:

See explanation

Step-by-step explanation:

1. Factor the function $f(x)=-2x^2+16x-30:$

$f(x)=-2x^2+16x-30=-2x^2+6x+10x-30=-2x(x-3)+10(x-3)=-2(x-3)(x-5).$

2. The zeros (or the solutions of the equation f(x)=0) are x=3 and x=5. So? points (3,0) and (5,0) are the points on the graph that are the solutions of the equation.

3. Find the vertex:

$x_v=-\dfrac{b}{2a}=-\dfrac{16}{2\cdot (-2)}=4,\\ \\y_v=-2\cdot 4^2+16\cdot 4-30=-32+64-30=2.$

Thus, the coordinates of the vertex are (4,2) and the axis of symmetry is the vertical line that passes trough the vertex: x=4.

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2 years ago

Michael is measuring fabric for quilts for his family she needs 3.4 meters of fabric she has 24.7 cm of fabric how much more cen

const2013 [10]

Answer: 315.3 cm / 3.153 meters

Step-by-step explanation:

3,4 meters = 340 cm

340 cm - 24.7 cm = 315.3 cm

4 0

2 years ago

I have 17 ones. I am between 30 and 40. What number am I?

balu736 [363]

Answer:

37 I think

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Six students are working to simplify the expression shown.

krok68 [10]

Equivalent and Fully Simplified:

8+7x+4y

Equivalent and not fully simplified:

8+12x-5x+4y

15+7x+4y-7

Note Equivalent:

15-7x-4y

8+17x+4y

8+11y

Step-by-step explanation:

Given expression is:

$15+12x-5x+4y-7$

We will simplify the expression one by one

$8+12x-5x+4y$

$8+7x+4y$

Now we can categorize the expressions in boxes given below

Equivalent and Fully Simplified:

8+7x+4y

Equivalent and not fully simplified:

8+12x-5x+4y

15+7x+4y-7

Note Equivalent:

15-7x-4y

8+17x+4y

8+11y

Keywords: Expressions, simplification

Learn more about expressions at:

#LearnwithBrainly

6 0

3 years ago

Determine the slope of a line that is perpendicular to the line whose equation is x - 2y = 6.

Degger [83]

Answer:

The answer is -1/2

Step-by-step explanation:

We first start by removing x in order isolate the y variable

2y = 6 - x

y = $\frac{6-x}{2}$

Further, we simplify the equation in order to get the value of m (slope)

y = 3 + $\frac{-1x}{2}$

Therefore, our slope is equivalent to -1/2

4 0

3 years ago