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gtnhenbr [62]
3 years ago
10

Find the​ slope-intercept equation of the line that has the given characteristics:

Mathematics
1 answer:
Margarita [4]3 years ago
3 0

Answer:y=-6x+8


Step-by-step explanation:

Remember this formula

Y=mx+b

M=slope

b=y-intercept

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Adele Garcia obtained a loan of 8,000$ at 12% interest for 24 months . The monthly payment is 367.80. after 15 payments the bala
Rama09 [41]

Answer:

6

Step-by-step explanation:


8 0
3 years ago
Answer the following questions about the sphere whose equation is given by x2+y2+z2−8x+4y=−4. 1. Find the radius of the sphere.
Anna [14]

Answer:

we have (a,b,c)=(4,-2,0) and R=4 (radius)

Step-by-step explanation:

since

x²+y²+z²−8x+4y=−4

we have to complete the squares to finish with a equation of the form

(x-a)²+(y-b)²+(z-c)²=R²

that is the equation of a sphere of radius R and centre in (a,b,c)

thus

x²+y²+z²−8x+4y=−4

x²+y²+z²−8x+4y +4 = 0

x²+y²+z²−8x+4y +4 +16-16 =0

(x²−8x + 16) + (y² + 4y + 4 ) + (z²) -16 = 0

(x-4)² + (y+2)² + z² = 16

(x-4)² + (y-(-2))² + (z-0)² = 4²

thus we have a=4 , b= -2 , c= 0 and R=4

8 0
3 years ago
What is 690 divided by 70?
ASHA 777 [7]
The answer is 9.857. This can be rounded.
3 0
3 years ago
Read 2 more answers
If 2 cups of ketchup= 1 cup of tomato sauce, then ____ cups of ketchup= 2.25 cups of tomato sauce.
SashulF [63]
We have an equation: 2/1= ?/2.25

Cross multiply:
1*?= 2*2.25
⇒ ?= 2*2.25= 4.5

The final answer is 4.5~
3 0
3 years ago
Read 2 more answers
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
algol13
Answers:
x = 24
y = 8√3
Explanation:

1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.

2) The variables given represent:

x: adjacent-leg to angle 30°
y: opposite length to angle 30°

3) sine ratio:

sin 30° = opposite-leg / hypotenuse = y / (16√3)

⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3

4) cosine ratio

cos 30° = adjacent-leg / hypotenuse = x / (16√3)

⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24

4 0
3 years ago
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