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3 years ago

Please someone help ASAP

Mathematics

2 answers:

erastova [34]3 years ago

6 0

Answer:

the slope of the line is zero

Rama09 [41]3 years ago

3 0

Answer:

the slope is 0

Step-by-step explanation:

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What is the value of the expression 2^2+4^2 divided by 2^2

N76 [4]

Use PEMDAS:

Parentheses

Exponents

Multiply and Divide from left to right.

Add and Subtract from left to right.

-------------------------------------------------------

Evaluate the exponents.

2^2+4^2/2^2

Divide from left to right.

4 + 16/4

Add from left to right.

4 + 4

Solution.

5 0

2 years ago

Suppose a car has a rating of 4.8 gallons per 100 miles. What is the miles-per-gallon rating of this car?

bezimeni [28]

Answer:

The miles-per-gallon rating of this car is 20.83.

Step-by-step explanation:

This question can be solved by a rule of three.

What is the miles-per-gallon rating of this car?

How many miles for 1 gallon?

4.8 gallons are used for 100 miles. So

4.8 gallons - 100 miles

1 gallon - x miles

$4.8x = 100$

$x = \frac{100}{4.8}$

$x = 20.83$

The miles-per-gallon rating of this car is 20.83.

4 0

2 years ago

Write a slope-intercept equation for a line passing through the point (5,-5) that is parallel to the line x = -2. Then write a s

Gnesinka [82]

Answer:

1. y=-2x+5

2. y=1/2x-7.5

Step-by-step explanation:

you plug in the cordinates for the y intercept and you already have the slope.

y=mx+b

m= slope which is -2

6 0

2 years ago

The standard form of <br> (6x1)+5x1/100+3x1/1,000

xenn [34]

Answer:

6053x/1000

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago