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3 years ago

If f(x) = x + 8 and g(x) = –4x – 3, find (f + g)(x).

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

4 0

A. (f + g)(x) = –3x + 5
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Find the distance of the line segment joining the two points:

zhannawk [14.2K]

Answer:

Step-by-step explanation:

$\sqrt{((\sqrt{2} - 0)^2 + (0 - (-\sqrt{2}))^2)$

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3 years ago

In Exercises 26-28, write an equation. Then solve.

saul85 [17]

Answer:

The temperature outside is 75.6°F

Step-by-step explanation:

We are given the following in the question:

The temperature of dry ice = - 109.3°F

Let x be the temperature outside in Fahrenheit.

It is given that the temperature of dry ice is 184.9°F less than the outside temperature.

Thus, we can write the equation:

$x - 184.9 = -109.3$

Solving, the above equation, we get:

$x - 184.9 = -109.3\\x = -109.3 + 184.9\\x = 75.6$

Thus, the temperature outside is 75.6°F

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3 years ago

Explain the differences between properties of equality and properties of inequality when solving equations and inequalities.

matrenka [14]

Equalities will have the words "is" or "equals" or "the same as" in the wording. These produce a unique solution.

Inequalities have phrases like "at most" or "at least" or "no more than" in them. Solutions are a range of values, ranging between 2 values, or from a particular value to positive or negative infinity.

5 0

3 years ago

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Plz do both plz plz plz

shtirl [24]

The first one is A and the second is either B or D I can’t decide

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2 years ago

Choose the congruence theorem that you would use to prove the triangles congruent.

Elena L [17]

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

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3 years ago

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