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4 years ago

Let f(x) = -3x - 4 and g(x) = 2x - 6. Find (f * g)(-7)

Mathematics

1 answer:

ratelena [41]4 years ago

3 0

Answer: B: 56

Step-by-step explanation: First find f(g(x)). Where f(x) = -3x-4 and

g(x) = 2x-6. Replace X in f(x) with the equation for g(x)

f(g(x)) = -3(2x-6) -4. Then use the foil method and simplify.

= -6x+18-4

=-6x+14

Now sub. in the value of x with -7 and evaluate.

=-6(-7)+14

=42+14

=56

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What is the value of 2xy if x=3 and y=-2

Drupady [299]

-12

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4 years ago

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The coordinates of the vertices of ∆PQR are P(-2,5), Q(-1,1), and R(7,3). Determine whether ∆PQR is a right triangle. Show your

Mashutka [201]

Given

∆PQR points are P(-2,5), Q(-1,1), and R(7,3)

Determine whether ∆PQR is a right triangle

To proof

As given ∆PQR points are P(-2,5), Q(-1,1), and R(7,3)

First find out the sides of triangle

FORMULA

Distance formula between two points

$D^{2}= (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}$

Distance between two points P(-2,5) and Q(-1,1)

$PR = \sqrt{(-1+2)^{2}+(1-5)^{2} }$

$PR = \sqrt{17}$

Distance between two points Q(-1,1)and R(7,3)

$QR = \sqrt{(7+1)^{2} +(3-1)^{2} }$

$QR =\sqrt{68}$

Distance between two points R(7,3) and P(-2,5)

$RP =\sqrt{(-2-7)^{2} + (5-3)^{2} }$

$RP=\sqrt{85}$

now show that ∆PQR is a right triangle

$RP^{2} = PQ^{2} +QR^{2}$

Putting the value given above

$(\sqrt{85}) ^{2} = \sqrt{17} ^{2} +\sqrt{68} ^{2}$

85 = 17 +68

85 =85

In the right triangle

HYPOTENUSE² = BASE² + PERPENDICULAR²

This is prove above

Hence ∆PQR is a right triangle

Hence proved

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4 years ago

Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the ar

PIT_PIT [208]

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3 years ago

the ratio of number of girls and boys in a class of 30 students is 7:8. if 5 new boys students admit in the class. what will be

Stells [14]

<h3>Given:</h3>

The ratio of number of girls and boys in a class of 30 students is 7:8

The ratio of number of girls and boys if 5 new boys admit in the class.

<h3>Assumption:</h3>

Let the number of students be x.

<h3>Solution:</h3>

According to the question,

7x + 8x = 30

or, 15x = 30

or, x = $\large {\tt {\frac{30}{15}}}$

or, x = 2

7x = 7(2) = 14

8x = 8(2) = 16

There were 14 boys and 16 girls in the school.

After admitting 5 new boys, we get

14 + 5 = <u>19</u>

The ratio of number of girls and boys now is 16:19.

<h2>Answer:</h2>

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3 years ago

Solving a _____ is the process of calculating unknown side lengths or angle measures of a triangle if certain of the side length

swat32

Answer:

Triangle

Step-by-step explanation:

A triangle is a closed figure bounded by straight lines.

A triangle has three sides, three angles and three vertices.

Normally any triangle is uniquely determined by any 3 independent measures,

It may be either 2 angles one side, or two sides, one included angle, or any other detail.

By having 3 known dimensions of a triangle, to find out other unknown is known as solving a triangle.

Hence right answer is

Solving a _triangle____ is the process of calculating unknown side lengths or angle measures of a triangle if certain of the side lengths and/or angle measures are known.

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3 years ago