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meriva
3 years ago
9

What is the product in simplest form.

Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer:

a)

-  \frac{9}{22}

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The points (7,r) and (8,9) fall on a line with a slope of 5. What is the value of r?
mrs_skeptik [129]

Answer:

r = 4

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 5

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, r ) and (x₂, y₂ ) = (8, 9)

m = \frac{9-r}{8-7} = \frac{9-r}{1} = 9 - r = 5 ( subtract 9 from both sides )

- r = - 4 ( multiply both sides by - 1 )

r = 4

7 0
3 years ago
on a beach trip, lucy rents a bike from "wheels by the Waves", where they rent bikes for $12 plus $3 per hour. if lucy spent $30
blsea [12.9K]
2 hours! because, 12 plus 3 is 15 & 15 times 2 equals 30
3 0
3 years ago
Read 2 more answers
Find the gradient of the line joining the points P(2,5) and Q(4,-2).​
liq [111]
Answer is -7/2

Gradient or slope is found by change in y over change in x.
Or
(y2 - y1) over (x2 - x1)

So
(-2 -5) over (4-2)
= -7/2
6 0
2 years ago
Find the measures of the numbers angles in each rectangle
Alla [95]

Answer:

m<1 = 60°

m<2 = 30°

m<3 = 90°

Step-by-step explanation:

Recall some properties of Rectangle. Thus:

The four angles of a rectangle are right angles = 90° each.

Opposite sides of a rectangle are also parallel to each other.

With the knowledge of these, we can solve for angles 1, 2, and 3.

Thus:

m<1 = 60° (alternate interior angles are congruent)

m<2 + m<1 = 90° (complementary angles)

m<2 + 60° = 90° (substitution)

m<2 = 30° (substraction property of equality)

m<3 = 90° (angle of a rectangle)

4 0
3 years ago
Solve: 6(y-5) = 2(10 + 3y)
topjm [15]

Answer:

no solution

Step-by-step explanation:

simplifying

6(y + -5) = 2(10 + 3y)

reorder the terms:

6(-5 + y) = 2(10 + 3y)

(-5 * 6 + y * 6) = 2(10 + 3y)

(-30 + 6y) = 2(10 + 3y)

-30 + 6y = (10 * 2 + 3y * 2)

-30 + 6y = (20 + 6y)

add '-6y' to each side of the equation.

-30 + 6y + -6y = 20 + 6y + -6y

combine like terms: 6y + -6y = 0

-30 + 0 = 20 + 6y + -6y

-30 = 20 + 6y + -6y

combine like terms: 6y + -6y = 0

-30 = 20 + 0

-30 = 20

solving for:

-30 = 20

the left and right sides are not equal, so there isn't any solution!

4 0
3 years ago
Read 2 more answers
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