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Ilya [14]
3 years ago
7

Complete the equation of the line through (3,–8) and (6,-4).

Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0

Answer:

First you need to find slope

Line passing through (3,-8) (6,-4)

slope (m)= (-4+8)/(6-3)

= 4/3

Eq of line is

y+8 = 4/3. ( x-3)

3y +24 = 4x -12

3y -4x + 36=0

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The monthly earnings of computer systems analysts are normally distributed with a mean of $4,300. If only 1.07% of the systems a
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Answer:800

Step-by-step explanation:

Mean(\mu )=\$ 4300

and P(X>6140)=0.0107

P(X>x_0)=0.0107

P\left ( \frac{X-\mu }{\sigma}

P\left ( z

\frac{x-\mu }{\sigma}=InvNormal(0.9893)

Using Z table to get InvNormal(0.9893)=2.30

\frac{6140-4300}{\sigma}=2.30

\sigma =\frac{6140-4300}{2.30}=800

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3 years ago
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Joe's pizza shack sell $5 pizza. If Joe raises the price by 20% , what is the amount of the mark-up?
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Answer:6 dollars

Step-by-step explanation:5 +20% gives you 6 which would be the ending price

4 0
2 years ago
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If the length of the minor axis of an ellipse is 6 units and the length of the major axis is 10 units, how far from the center a
Sedbober [7]

The distance from the center to where the foci are located exists 8 units.

<h3>How to determine the distance from the center?</h3>

The formula associated with the focus of an ellipse exists given as;

c² = a² − b²

Where c exists the distance from the focus to the center.

a exists the distance from the center to a vertex,

the major axis exists 10 units.

b exists the distance from the center to a co-vertex, the minor axis exists 6 units

c² = a² − b²

c² = 10² - 6²

c² = 100 - 36

c² = 64

c = \sqrt{64}

c = 8

Therefore, the distance from the center to where the foci are located exists 8 units.

To learn more about the Pythagorean theorem here:

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3 0
1 year ago
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Arisa [49]

Answer:

y = 8x

Step-by-step explanation:

Since slope is 8/1 which is equal to 8 and x-intercept is 0.

Put these in slope-intercept equation i.e  y = mx + b

6 0
2 years ago
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In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
2 years ago
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