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2 years ago

Given the function

Mathematics

1 answer:

nika2105 [10]2 years ago

4 0

$\left \{ {{7x+6\:\:\:\:\:\:x$

$f(-1)$

Solve

$-7\cdot \:1+6x$ Swap the negative sign

$-7+6x$ Multiply the numbers

$-7+6x+7$ Add 7 to both sides

$6x$ Simplify

$\frac{6x}{6}$ Divide both sides by 6

$x$ Simplify

$-7\cdot \:1+12x$ Swap the negative sign

$-7+12x$ Multiply the numbers

$-7+12x+7$ Add 7 to both sides

$12x$ Simplify

$\frac{12x}{12}$ Divide both sides by 12

$x$ Simplify

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WILL MARK BRAINLIEST!

Artist 52 [7]

Answer:

Following are the responses to the given points:

Step-by-step explanation:

Dilation implies the triangle $\Delta XYZ$ stretched through the factor "2".

$m\angle Y = m\angle C = 90^{\circ} \leftarrow given \\\\$

right triangles:

$\Delta XYZ and \Delta ACB \\\\\angle X \cong \angle A \leftarrow given\\\\$

complementary angles:

$\angle X \ and\ \angle Z$

$m\angle Z = 90^{\circ} - m\angle X \\\\$

complementary angles:

$\angle A \ and\ \angle B$

$m\angle B = 90^{\circ} - m\angle A \\\\\therefore \\\\ \angle Z \cong \angle B \\\\\Delta XYZ \sim \Delta ACB \\\\$

Same triangles: proportional side are corresponding, congruence angles are respective.

$\sin \angle X = \frac{5}{5.59} \leftarrow given \\\\\sin\angle X = \frac{YZ}{XY} \\\\YZ = 5 (units) \rightarrow leg in \Delta XYZ \\\\XZ = 5.59 (units) \rightarrow hypotenuse \ in\ \Delta XYZ\\\\$

Calculating the length of leg XY:

$XY = \sqrt{((5.59)^2 - 52)} \cong 2.4996 (units)\\\\\frac{CB}{YZ} = 2 \leftarrow given \\\\CD = 2YZ = 2 \times 5 = 10 \ (units)\\\\\frac{AC}{XY} = 2 \leftarrow \ given\\\\AC = 2XY \cong 2 \times 2.4996 \cong 4.999\ (units)\\\\$

3 0

2 years ago

The double number line shows how many bananas are needed to make 111 loaf of banana bread.

skelet666 [1.2K]

Answer:

Chart

Number of loaves Number of Bananas

1 2 1/2

2 5

4 10

Step-by-step explanation:

My friend helped me with this and since I saw no answer here I wanted to help YOU!!!!

So the first one was easy because it already said it in the number line.

The second one you simply multiply 2x 2 1/2

The third one you multiply 4x 2 1/2.

Hope it helps! Stay safe and dont go out during Quarantine!!!!!!!!!!

5 0

3 years ago

Mr. Osterhout is putting trim around the edge of a circular merry-go-round that has a diameter of 15 feet. How much trim does he

Lubov Fominskaja [6]

Given:
circular merry-go-round that has a diameter of 15 feet.

Find: How much trim does he need to buy to put around the edge of the merry-go-round?

We need to find the circumference of the merry-go-round to get the measurement of the trim needed.

Circumference = π d
π = 3.14
d = diameter = 15 feet

Circumference = 3.14 * 15 feet
Circumference = 47.10 feet.

Mr. Osterhout needs to buy 47.10 feet of trim to put around the circular merry-go-round.

8 0

2 years ago

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Makovka662 [10]

2/4 or 1/2 is the slope

6 0

2 years ago

An angle measures 2° less than the measure of its complementary angle. What is the measure of each angle?

Ahat [919]

Answer:

angle: 44°

complementary angle: 46°

Step-by-step explanation:

Complementary angles have a sum of 90°. We can use this relation and the one given to write equations for the angles of interest.

<h3>setup</h3>

Let 'a' and 'c' represent the angle and its complement, respectively.

a = c -2 . . . . . an angle is 2° less than its complement

a +c = 90 . . . . complementary angles total 90°

<h3>solution</h3>

Using the first equation to substitute for 'a' in the second, we have ...

(c -2) +c = 90

2c = 92 . . . . . . add 2, collect terms

c = 46 . . . . . . . divide by 2

a = 46 -2 = 44 . . . . find 'a' using the first equation

The angle is 44°; its complement is 46°.

6 0

1 year ago