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goldenfox [79]
3 years ago
5

Write an equation in point slope form and slope intercept form for the line that passes through (-1,2) and has a slope if -1/2

Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

Answer:

Y= - 1/2x + 1.5 or y= - 0.5x + 1.5

Y= - 1/2x + c

Substitute x = - 1 & y=2

2= - 0.5 x - 1 + c

2= 0.5 + c

- 0.5 both side

1.5 =c

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The mass of Earth is 5.97 >< 1024 kilograms. The mass of the Moon is 7.34 x 1022 kilograms. What is the combined mass of E
LuckyWell [14K]

Answer:

7.34x10^22 kg can also be written as 0.0734 * 10^24 kg

Since both numbers are * 10^24, you can just add 5.97 + 0.0734 = 6.043. Then you have to add the * 10^24 giving you 6.043 * 10^24 kg

The ratio of Earth / moon is 5.97x10^24 / 7.34x10^22 = 81. The mass of the Earth is 81 times the mass of the moon.

Step-by-step explanation: give me brainliest please :)

6 0
3 years ago
Brianna cut her pancake in half to share with friend. If the pancake's distance from one side of the pancake to other side was 8
Gwar [14]

Answer:

Brianne gets 25.12 inches² of pancake.

Step-by-step explanation:

Assuming the pancake to be a circular shape.

If the pancake's distance from one side of the pancake to other side was 8 inches, then diameter of circle = 8 inches. It means radius = 4 inches.

Brianne cut her pancake in half to share with friend. It means Brianne gets half-circular shape. So we need to find area of half-circle.

Area of half-circle = (1/2)πr² = (1/2) x 3.14 x 4² = 1.57 x 16 = 25.12 inches².

Hence, Brianne gets 25.12 inches² of pancake.

8 0
3 years ago
Consider the function f(x) = x² – 3x – 4 and complete parts (a) through (C). (a) Find f(a+h); f(a+h)-f(a) (b) Find (c) Find the
Artist 52 [7]

Answer:

(a)

f(a+h)=a^{2} +2ah+h^{2} -3a-3h-4

(b)

f(a+h)-f(a)=2ah+h^{2} -3h

(c)

\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2h+11

Step-by-step explanation:

(a)

Simply evaluate (a+h) in the function:

f(a+h)=(a+h)^{2} -3(a+h)-4=a^{2} +2ah+h^{2} -3a-3h-4

(b)

Evaluate (a) in the function:

f(a)=a^{2} -3a-4

Using the previous answers lets calculate f(a+h)-f(a)

f(a+h)-f(a)=a^{2} +2ah+h^{2} -3a-3h-4-(a^{2} -3a-4)=2ah+h^{2} -3h

(c) To find the rate of change of f(a+1) when a=7 we need to calculate its derivate at that point:

\frac{df(a+h)}{dx} \left \{ { \atop {a=7}} \right. =2a+2h-3=2(7)+2h-3=2h+14-3=2h+11

7 0
4 years ago
A score of 17 on a math test results in a mark of 68%. What score would give you a mark of 100%?
matrenka [14]

Answer:

17/25

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Simplify the expression. (7x + 1/2) + (4x − 3 1/2)
NeTakaya
Hi there!

(7x +  \frac{1}{2} ) + (4x - 3 \frac{1}{2} )
First we work out the parenthesis.

7x +  \frac{1}{2}  + 4x - 3 \frac{1}{2}
Now collect the terms.

11x - 3
And there's your solution.


4 0
3 years ago
Read 2 more answers
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