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lisov135 [29]
3 years ago
12

What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?

Mathematics
1 answer:
Gnoma [55]3 years ago
6 0

Answer:

The equation of line parallel to given line passing through (8,-7) is:

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

Step-by-step explanation:

Given line is:

5x+4y=16

first of all, we have to convert the equation of given line in slope-intercept form

4y = -5x+16

Dividing both sides by 4

\frac{4y}{4} = -\frac{5x}{4} + \frac{16}{4}\\y = -\frac{5}{4}x+4

Slope intercept form is:

y=mx+b

The slope of given line is:

m = -\frac{5}{4}

Let m1 be the slope of line parallel to given line

"The slopes of two parallel lines are equal"

m = m_1\\m_1 = -\frac{5}{4}

The equation of line parallel to given line will be:

y = m_1x+b

Putting the value of slope

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

Putting the point (8,-7) in the equation

-7 = -\frac{5}{4}(8)+b\\-7 = -(5)(2) + b\\-7 = -10+b\\b = -7 +10\\b = 3

Putting the value of b

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

Hence,

The equation of line parallel to given line passing through (8,-7) is:

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

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divide 15 and 3 it will equal 5

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2. Construct Arguments An ostrich runs 6 miles
Alekssandra [29.7K]

Answer:

<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>

Step-by-step explanation:

Distance run by the ostrich = 6 miles

Time the ostrich takes to run this distance = 12 minutes

Speed of the ostrich = Distance / Time

Speed of the ostrich = 6 miles / 12 minutes = 0.5 miles per minute

How far the  ostrich could run in 40 minutes?

If the ostrich run 0.5 miles per minute, this is the formula:

Speed of the ostrich * 40 minutes = Distance

0.5 miles/minute * 40 minutes = 20 miles (Minutes is simplified in the numerator and the denominator on the left side)

<u>At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.</u>

6 0
3 years ago
How many degrees are each angle of a regular 7 sided shape?
Diano4ka-milaya [45]

Answer:


Step-by-step explanation:

Here is a diagram of a seven sided regular polygon. You use this diagram to find out how many degrees total are in the interior of a the heptagon. There are 5 such triangles which means that since each triangle has 180o the total amount of the interior angles must be 5 * 180 = 900

Since there are 7 interior angles, the answer to how large each one of them is is found by

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180(8 - 2) / 8 = 180 * 6/8 = 133 degrees.

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3 years ago
What are the zeros of the quadratic function? f(x)=3x2−300 Enter your answers in the boxes.
nata0808 [166]
Hi there!

We can find the zeros of a function by solving f(x) = 0. We find the following:

3 {x}^{2} - 300 = 0
Add 300 to both sides.

3 {x}^{2} = 300
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x = 10 and x = -10.

~ Hope this helps you!
5 0
3 years ago
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