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dangina [55]
3 years ago
6

What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?

Mathematics
1 answer:
nika2105 [10]3 years ago
7 0

The slope-point form:

y-y_1=m(x-x_1)

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (7, -8) and (-4, 6). Substitute:

m=\dfrac{6-(-8)}{-4-7}=\dfrac{14}{-11}=-\dfrac{14}{11}\\\\y-6=-\dfrac{14}{11}(x-(-4))\\\\\boxed{y-6=-\dfrac{14}{11}(x+4)}

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mixas84 [53]
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3 years ago
Lee wants to gain 10lbs of lean muscle mass. His dietitian suggested the consume 2400 kcal each day and that 25% of his cal come
goldfiish [28.3K]

Answer:

a) He needs to consume 600 kcal from protein.

b) 22 kcal come from fat.

Step-by-step explanation:

a) Lee needs to consume 2400 kcal each day and 25% of this income should come from protein.

We are going to use percentages to solve this problem, to find out how many kcal from protein he should consume we need to multiply 2400 by .25.

2400 (.25) = 600

Lee needs to consume 600 kcal from protein.

b)  A cup of chili contains 220 kcal If 15% of kcal come from fat how many kcal come from fat?

We are going to solve this in a similar way.

We should multiply the total amount of kcal by .15 which is the amount of fat calories.

220 (.15) = 33

33 kcal come from fat.

7 0
3 years ago
The pair of variables x=5, y=7 is the solution to the equation ax–2y=1. Find the coefficient a.
Wewaii [24]

Answer:

a=3

Step-by-step explanation:

This should be very simple, just substitute xy and y for 5 and 7 respectively, so 5a-2*7=1, or 5a-14=1, or 5a=15, if we divide both sides by 5, we get a=3

5 0
3 years ago
Read 2 more answers
On a field trip, there were five girls for every eight boys. How many girls attended the 130 student field trip
yarga [219]
26 because 5 gose in to 13 2 times and you have 3 left bring down the zero for 30 and 6 gose in to it evenly
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snow_lady [41]

Answer:

d

Step-by-step explanation:

so at 5 hours he  was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600

8 0
3 years ago
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