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Yakvenalex [24]
3 years ago
8

A line that includes the point (7, -2) has a slope of 1. What is its equation in slope-intercept

Mathematics
1 answer:
kompoz [17]3 years ago
6 0

Answer:

Y = x - 9

Step-by-step explanation:

A slope of 1 = x

So we have

Y = x

To find y intercept we do

7 - (-2) = 9

So we have a y-intercept of 9

Y = x - 9

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(pls help quick and explain how you got the answers for brainliest)
scoray [572]

You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :

1. AB is the hypotenuse, so, according to the theorem we can write :

AB² = AC² + CB²

c² = 5² + 4²

c²= 25 + 16

c² = 41

applying the square root of 41 we get :

c ≈ 6.40 rounded to the hundred

The next cases are exactly the same thing so there is no need for explanation :

2.

AB is the hypotenuse here because it is the biggest side clearl :

AB² = AC² + CB²

25² = 15² + b²

Thus

b² = 25² - 15²

we just subtracted 15² on each side of the equation

b² = 625 - 225

b² = 400

applying the square root of 400 we get

b = √400 = 20

So AC = 20

3. The longest side is clearly AB = 60

So

AB² = AC² + CB²

60² = 40² + a²

subtracting 40² on each side of the equation we get :

a² = 60² - 40²

I let you finish this using your calculator and doing exactly like the previous cases

4.

AB is the hypotenuse,

AB² = AC² + CB²

23² = b² + 14²

Subtracting 14² from each side of the equation we get

b² = 23² - 14²

5.

AB is the biggest side :

AB² = AC² + CB²

29² = 23² + a²

We subtract 23² on each sides of the equation :

a² = 29² - 23²

You can finish with your calculator

6.

AB² = AC² + BC²

78² = b² + 30²

subtraction...

b² = 78² - 30²

Good luck :)

7 0
2 years ago
Y=-x-4 <br>y=x<br><br>solve system of equations algebraically​
Serhud [2]

Answer:

y=-2 x=-2

Step-by-step explanation:

y=-x-4

y=x

you can plug y in for x in the first equation by using substitution

y=-y-4

and then you solve for y

2y=-4

y=-2

so y equals -2. Since y=x, x also equals -2. Therefore

y=-2 x=-2

4 0
3 years ago
Add or subtract. Write the answer in standard form. 7−(3+4i)+6i
Alisiya [41]

Answer:

4 + 2i

Step-by-step explanation:

First distribute;

7 - 3 - 4i + 6i

= 4 + 2i

3 0
3 years ago
In a class,14 out of 20 students pack their lunches.What percent of students pack their lunches?
svp [43]

Answer:

70%

Step-by-step explanation:


3 0
3 years ago
Read 2 more answers
Square PQRS has vertices at P(-2, 4), Q(-2, -1), R(3,-1), and S(3,4). What is the length of side PS?
Strike441 [17]

Answer:

The length of side PS is just the distance from point P to point S.

Point P (-2, 4)

Point S (3, 4)

So the length is the distance from -2 to 3, since the y coordinate is the same for both. The distance from -2 to 3 is 5 units.

So, PS is 5 units long.

Let me know if this helps!

5 0
3 years ago
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