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2 years ago

If you could help I would really appreciate it, but if not that’s fine. Thank you.

Mathematics

1 answer:

zloy xaker [14]2 years ago

8 0

Answer:

2x - 5 if x ≤ 2

f(-1) = -7

Step-by-step explanation:

x ≤ 2 = (-1) ≤ 2

x > 2 = (-1) > 2

2x - 5

2(-1) - 5

-2 - 5

-7

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Determine whether each expression can be used to find the length of side AB. Match Yes or No for each

tankabanditka [31]

Answer:

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

Step-by-step explanation:

Given

$BC =24$

$AC = 7$

Required

Select Yes or No for the given options

$(a)\ AB = \frac{7}{\sin (B)}$ $\to Yes$

Considering the sine of angle B, we have:

$\sin(B) = \frac{Opposite}{Hypotenuse}$

$\sin(B) = \frac{7}{AB}$

Make AB, the subject

$AB = \frac{7}{\sin(B)}$

$(b)\ AB = \frac{24}{\cos (B)}$ $\to Yes$

Considering the cosine of angle B, we have:

$\cos(B) = \frac{Adjacent}{Hypotenuse}$

$\cos(B) = \frac{24}{AB}$

Make AB the subject

$AB = \frac{24}{\cos(B)}$

$(c)\ AB = \frac{24}{\cos (A)}$ $\to No$

Considering the cosine of angle B, we have:

$\cos(A) = \frac{Adjacent}{Hypotenuse}$

$\cos(A) = \frac{7}{AB}$

Make AB the subject

$AB = \frac{7}{\cos(A)}$

$(d)\ AB = \frac{7}{\cos (A)}$ $\to Yes$

This has been shown in (c) above

3 0

2 years ago

Please help as soon as possible!

AnnZ [28]

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)

m = $\frac{4-6}{8-3}$ = - $\frac{2}{5}$ , hence

y = - $\frac{2}{5}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 4), then

4 = - $\frac{16}{5}$ + c ⇒ c = 4 + $\frac{16}{5}$ = $\frac{36}{5}$

y = - $\frac{2}{5}$ x + $\frac{36}{5}$ ← equation of line

6 0

2 years ago

Read 2 more answers

Graph y ≥ -x^2 +1 Click on the graph until the correct graph appears.

ser-zykov [4K]

Answer:

Here, I graphed it for you!

3 0

3 years ago

The manager of a store wants to have a sales promotion where she gives prizes to the first several people through the door. She

Viktor [21]

The answer is 60 people. Each person would get 4 pins, 6 ornaments and 9 mugs.

4 0

3 years ago

Read 2 more answers

What is the range of the data below A.2 B.5 C.12 D.13

Degger [83]

Range of the data = 13

Solution:

To find the range of the given data:

Let us first define what is range.

Range:

The range of the data set is the difference between the highest value and lowest value of the data set.

i. e. Range = Highest value – Lowest value

In the given number line,

Highest value indicated = 115

Lowest value indicated = 102

Range of the data = 115 – 102

= 13

Range of the data = 13

Hence the range of the given data is 13.

4 0

2 years ago