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anyanavicka [17]
3 years ago
8

Which equation represents a line with a slope of and a y-intercept of 3?

Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0

Answer:

b

Step-by-step explanation:

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Can you help me please??
dusya [7]

Answer:

y = \frac{4}{5}x+\frac{54}{5}

Step-by-step explanation:

Equation of a line has been given as,

y=\frac{4}{5}x+\frac{3}{5}

Here, slope of the line = \frac{4}{5}

y-intercept = \frac{3}{5}

"If the two lines are parallel, there slopes will be equal"

By this property slope of the parallel line to the given line will be equal.

Therefore, slope 'm' = \frac{4}{5}

Since, slope intercept form of a line is,

y = mx + b

Therefore, equation of the parallel line will be,

y = \frac{4}{5}x+b

Since, this line passes through a point (-6, 6),

6 = \frac{4}{5}(-6)+b

6 = -\frac{24}{5}+b

b = 6+\frac{24}{5}

b = \frac{30+24}{5}

b = \frac{54}{5}

Equation of the parallel line will be,

y = \frac{4}{5}x+\frac{54}{5}

4 0
3 years ago
walt averages 98 miles per hourin 4 races. if each race is 95 miles in lenght, how many miles did walt drive in the race?
Marianna [84]

Answer:

380

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A race is 25 miles long. There is a water station every 1 1/4 miles along the race route. How many water stations are needed for
Vikentia [17]

Answer:

21

Step-by-step explanation:

21 water stations

Step-by-step explanation:

From the question, we are informed that a marathon is 26.2 miles long and that there is a water station every 1 1/4miles along the race route and at the finish line.

To get the number of water stations that are needed for this marathon, we divide 26.2 miles by 1 1/4miles. This will be:

= 26.2miles/1 1/4 miles

= 26.2 miles/1.25 miles

= 20.96

= 21 water stations

8 0
3 years ago
Find the missing value to the nearest hundredth. cos_= 6/19
Olenka [21]

Let , missing value(_)=A

As, it is given that ,

CosA=\frac{6}{19}\\\\ Cos A=0.3158\\\\ A=72 {\text{Degree}}

To convert the value of A into Radians,

360°=2 π Radians

1 {\text{degree}}=\frac{\pi}{180}\\\\72 {\text{Degree}} =\frac{72\times 22}{180 \times 7}\\\\=1.2571

So, missing value to the nearest hundredth= 1.26 Radians

5 0
3 years ago
Read 2 more answers
The figure below shows two parallel lines intersected by a third line. What is the value of x
lisabon 2012 [21]

Answer:

x = 20

Step-by-step explanation:

The two angles given in the diagram are alternate interior angles. Alternate interior angles are congruent. Therefore:

(4x)° = (x + 60)°

Use the equation to solve for the value of x

4x = x + 60

Subtract x from both sides

4x - x = x + 60 - x

3x = 60

Divide both sides by 3

\frac{3x}{3} = \frac{60}{3}

x = 20

4 0
3 years ago
Read 2 more answers
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