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andrew-mc [135]
3 years ago
12

The points (-9,f) and (-10,5) has a slope of 3. What is the value of f?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0
Slope formula: (y2-y1)/(x2-x1)
(5-f)/(-10-(-9)) = 3
(5-f)/(-1) = 3
5 - f = -3
-f = -8, f = 8
Solution: f = 8
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88 POINTS!!!!! Multiply:<br><br> 1. (y−4)2<br><br> 2. 5(y+4)2<br><br> 3. (y+4)2<br><br> 4. 5(y−4)2
navik [9.2K]

Answer:

Thus # 2 is correct (5 (y + 4))/2

Step-by-step explanation:

Simplify the following:

(5 y (y^2 - 16))/(2 y (y - 4))

(5 y (y^2 - 16))/(2 y (y - 4)) = y/y×(5 (y^2 - 16))/(2 (y - 4)) = (5 (y^2 - 16))/(2 (y - 4)):

(5 (y^2 - 16))/(2 (y - 4))

y^2 - 16 = y^2 - 4^2:

(5 (y^2 - 4^2))/(2 (y - 4))

Factor the difference of two squares. y^2 - 4^2 = (y - 4) (y + 4):

(5 (y - 4) (y + 4))/(2 (y - 4))

Cancel terms. (5 (y - 4) (y + 4))/(2 (y - 4)) = (5 (y + 4))/2:

Answer:  (5 (y + 4))/2

7 0
3 years ago
Read 2 more answers
Find the area enclosed by the figure
Korvikt [17]

Answer:

2677 mi^2

Step-by-step explanation:

Think the shape as an complete rectangle :

The area of the rectangle is calcluated by multiplying height*width

(24+12+19)*55 = 3025 mi^2 now subtract the area of the missing part using same area calculation method:

12*29 = 348 mi^2 the area of the figure:

3025 - 348 = 2677 mi^2

7 0
3 years ago
A circle has a circumference of 28 centimeters. If an arc subtends a central angle of 55 degrees, what is the arc length?
Harlamova29_29 [7]

Answer:

s = 4.28 cm (Answer A)

Step-by-step explanation:

1) The formula for the circumference of a circle of radius r is C = 2(pi)r, and this corresponds to a full circle, with central angle 360 degrees.  

2) Here the circumference is 28 cm.  Therefore, solving for the radius involves the following calculation:   28 cm = 2(pi)r, or

r = (28 cm) / (2 pi), or (28 cm) / 6.28 = 4.46 cm.  

3) The arc length s = r(theta), when the central angle (theta) is 55 degrees, is (55/360) times the circumference of the circle:  (55/360)(28 cm), or

s = 4.28 cm (Answer A)

3 0
3 years ago
*FIRST ANSWER GETS BRAINLIEST*
svet-max [94.6K]

The other solution to the equation is -3.

Step-by-step explanation:

Given equation is;

5x²+bx+12=0

One solution is -4/5

We will put this solution in Eqn to get the value of b first,

5(\frac{-4}{5})^2+b(\frac{-4}{5})+12=0\\5(\frac{16}{25})+(\frac{-4b}{5})+12=0\\\frac{16}{5}-\frac{-4b}{5}=-12\\

Multiplying each term by 5

5*(\frac{16}{5})-\frac{-4b}{5}*5=-12*5\\16-4b=-60\\-4b=-60-16\\-4b=-76

Dividing both sides by -4

\frac{-4b}{-4}=\frac{-76}{-4}\\b=19

Putting b=19 in given Eqn

5x²+19x+12=0

Here,

a=5 , b=19 , c=12

Using quadratic formula,

x=\frac{-b\±\sqrt{b^2-4ac}}{2a}\\x=\frac{-(19)\±\sqrt{(19)^2-4(5)(12)}}{2(5)}\\\\x=\frac{-19\±\sqrt{361-240}}{10}\\\\x=\frac{-19\±11}{10}\\

Either,                   or,

x=\frac{-19+11}{10},\ \ \ \ \ \ x=\frac{-19-11}{10}\\x=\frac{-8}{10},\ \ \ \ \ \ \ \ \ x=\frac{-30}{10}\\x=\frac{-4}{5},\ \ \ \ \ \ \ \ \ \ x= -3

The other solution to the equation is -3.

Keywords: linear equation, quadratic formula

Learn more about quadratic formula at:

  • brainly.com/question/7128279
  • brainly.com/question/6788996

#LearnwithBrainly

6 0
3 years ago
Today only, a table is being sold at 26% a discount. The sale price is $629. What was the price yesterday?
3241004551 [841]

Answer:

Today's price P must be 74% (100% - 26%) of yesterday's price Y. P = $555 = 74%*Y = 0.74*Y. Y = $555/0.74.

Step-by-step explanation:

Hope this helps if not sorry

3 0
3 years ago
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