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nekit [7.7K]
3 years ago
5

X² – 9 x² - 2x - 15 Simplify

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0

Answer:

x^2 - 9 = <u>(x + 3)(x - 3)</u> = (x - 0)^2 - 9.

x^2 - 2x - 15 = <u>(x - 5)(x + 3)</u> = (x - 1)^2 - 16.

I assume you mean factored form?

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Under a certain transformation △ABC→△A'B'C' such that AB=A'B'. What are the triangles now?
Flura [38]

The correct answer is C. neither congruent nor similar.

Given that △ABC is transformed to △A'B'C' such that AB = A'B'.

We know that:

For triangles to be similar, all three angles must be same(AAA property) or all three sides must be in same proportion(SSS property) or two sides must be in same proportion and the included angle should be equal(SAS property).

For triangles to be congruent, all the three sides and all the three angles ,ust be exactly same.

Since △ABC and △A'B'C' have only one side equal, they are neither congruent nor similar.

3 0
3 years ago
Write an equation in slope-intercept form of the line that passes through (2,0) and is perpendicular to y=1/5 x-2.
Advocard [28]

Answer:

y = -5x+10

Step-by-step explanation:

Given

(x_1,y_1) = (2,0)

y = \frac{1}{5}x - 2

Required

Determine an equation that perpendicular to the equation

An equation has the form:

y = mx + b

Where

m = slope

By comparison:

m = \frac{1}{5}

Next, we determine the slope of the new line.

When two lines are perpendicular, the following relation exist:

m_2= -\frac{1}{m_1}

Substitute 1/5 for m1

m_2= -\frac{1}{1/5}

m_2= -5

The equation of the line is then calculated using:

y - y_1 = m(x - x_1)

Where:

m_2= -5 and (x_1,y_1) = (2,0)

This gives:

y - 0 = -5(x - 2)

y = -5(x - 2)

y = -5x+10

8 0
3 years ago
What is the value of 5 in 7.258?
Alexxandr [17]
5 = 0.005

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4 years ago
Find the greatest common factor of 27, 9, and 45.
Anna [14]

Answer:

9

Step-by-step explanation:

hope that this is helpful.

3 0
3 years ago
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The length of a rectangle is 4 less than three times it’s width. The perimeter is 72 feet. Find the dimensions of a rectangle
ratelena [41]

Answer:

Step-by-step explanation:

so let’s say x is the length.  Then the width will be 3x-4.  You add them together and multiply by two.  The perimeter is 72 so the equation equala 72.

Equation:

(x+3x-4)*2=72

(4x-4)*2=72

8x-8=72

8x=80

x=10

length:10

width:26

6 0
4 years ago
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