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blagie [28]
3 years ago
8

Simplify the following expression. show your work. (-y + 5.3) + (7.2y - 9)

Mathematics
1 answer:
Kitty [74]3 years ago
6 0

Answer:

6.2y - 3.7

Step-by-step explanation:

−y+5.3+7.2y−9

Subtract 9 from 5.3 to get −3.7.

−y−3.7+7.2y

Combine −y and 7.2y to get 6.2y.

6.2y−3.7

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Write the equation of the line that passes through the points (2, 3) and (3, -7). Put
FrozenT [24]

Answer:

y - 3 = -10 (x-2)

Step-by-step explanation:

The point-slope formula is y-y_1 = m (x-x_1). When knowing the slope of a line and a point it intersects, we can write its equation with that formula. Substitute m, x_1, and y_1 for real values.

1) First, find m, or the slope. Use the slope formula m = \frac{y_2-y_1}{x_2-x_1} and substitute the x and y values of the given points. Then, solve:

m = \frac{(-7)-(3)}{(3)-(2)} \\m = \frac{-7-3}{3-2} \\m = \frac{-10}{1} \\m = -10

Therefore, the slope of the line is -10.

2) Now, substitute the needed real values into the point-slope formula, y-y_1 = m (x-x_1). Since m represents the slope, substitute -10 in its place. Since x_1 and y_1 represent the x and y values of a point the line crosses, choose any of the points given and substitute its values into the formula. (Either one is fine, they both equal the same thing. I chose (2,3).) This will give the following answer and equation:

y - 3 = -10 (x-2)

7 0
3 years ago
scott is riding a bike course that is 50 miles long. So far, he has ridden 6 miles of the course. What percentage of the course
ad-work [718]

Scott has ridden 12% of the course.

Step-by-step explanation:

Length of bike course = 50 miles

Distance covered = 6 miles

Distance covered in percentage = \frac{Distance\ covered}{length\ of\ bike\ course}*100

Distance covered in percentage = \frac{6}{50}*100\\

Distance covered in percentage = \frac{600}{50}

Distance covered in percentage = 12%

Scott has ridden 12% of the course.

Keywords: percentage, distance

Learn more about percentages at:

  • brainly.com/question/4105480
  • brainly.com/question/4109519

#LearnwithBrainly

4 0
3 years ago
manuel has $15 to spend.on apps and music. Apps cost $2 each and songs cost $1 each. If x represents the number of apps purchase
strojnjashka [21]

Answer:

2x + y = 15

Step-by-step explanation:

Total amount with Manuel = $15

Cost of apps = $2

Cost of song = $1

x = number of apps purchased

y = number of songs purchased

Cost of apps × number of apps purchased + Cost of song × number of songs purchased = Total amount with Manuel

2*x + 1*y = 15

2x + y = 15

The linear equation that represents the combination of apps and songs manuel can purchase is 2x + y = 15

6 0
3 years ago
What is the value for the missing angle ??
allsm [11]
Answer: 9 inches.
Do the pythagorean theorem to find your answer.
Formula: a^2 + b^2 = c2
12 = b
15 = c
a^2 + 12^2 = 15^2
Simplify the equation
a^2 + 144 = 225
Subtract 144 on both sides.
a^2 = 81
Square root of 81 is 9.
8 0
3 years ago
Which equation is equivalent to 3 = 87 - h?
kow [346]

Answer:

h = 84

Step-by-step explanation:

3 = 87 - h

h + 3 = 87  (Add h to both sides)

h = 84 (Subtract 3 from both sides)

8 0
3 years ago
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