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shepuryov [24]
3 years ago
11

WILL GIVE BRAINLIEST

Mathematics
1 answer:
Amanda [17]3 years ago
3 0

════════ ∘◦❁◦∘ ════════

<h3>Answer : y = ⅚x - 3</h3>

════════════════════

<h3>Known</h3>

x1 = 6

y1 = 2

x2 = (-6)

y2 = (-8)

════════════════════

<h3>Question</h3>

Equation of the line (y = mx + c)

════════════════════

<h3>Way to do</h3>

#First, you find the gradient (m)

m =  \frac{y2 - y1}{x2 - x1}  =  \frac{(( - 8) - 2)}{(( - 6) - 6)}  =  \frac{( - 10)}{( - 12)}  =  \frac{5}{6}

#Now use the formula of equation of the line

y - y1 = m(x - x1)

y - 2 = ⅚(x - 6)

y - 2 = ⅚x - 5

y = ⅚x - 5+2

y = ⅚x - 3

════════════════════

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What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round
nalin [4]

Answer:

376.991 cm²

Step-by-step explanation:

SA_{cylinder} = 2\pi r^{2}  + 2\pi rh

Surface Area = 2π(5²) + 2π(5)(7)

                      = 50π + 70π

                      = 120π

                      = 376.9911184... ≈ 376.991

<h2>Derive Surface Area of A Cylinder</h2>

If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle

The formula for the area of a circle = πr², and since there are 2, it is 2πr²

The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh

∴ 2πr² + 2πrh

5 0
3 years ago
Compare and contrast the solution of |2x + 8| &gt; 6 and the solution of |2x + 8| &lt; 6.
svet-max [94.6K]

Answer:

B.

The solution of |2x + 8| > 6 includes all values that are less than –7 or greater than –1.

The solution of |2x + 8| < 6 includes all values that are greater than –7 and less than –1.

__

Step-by-step explanation:

You can find the solution by "unfolding" the absolute value, then dividing by 2 and subtracting 4:

-6 > 2x +8 > 6 . . . . . read this as -6 is less than 2x+8 or 2x+8 is greater than 6

-3 > x +4 > 3 . . . . . . .divide by 2

-7 > x > -1 . . . . . . . . . solution to the first inequality: x is less than -7 or greater than -1.

___

The solution to the other inequality is identical, except the direction of the comparison is reversed. It is read differently, because the segments overlap, rather than being disjoint.

-7 < x < -1 . . . . . . . . solution to the second inequality: x is greater than -7 and less than -1.

__

These descriptions match choice B.

3 0
3 years ago
What is 56 divided by 8
aleksklad [387]

56 ÷ 8 = 7

8 goes into 56 7 times

Hope this helps

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8 0
3 years ago
Read 2 more answers
Solve the equation<br> -5.1 + 8 = -7
photoshop1234 [79]

Answer: 2.9 ≠ −7 (False)

Step-by-step explanation:

5 0
3 years ago
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Dionne can fold 175 packing boxes in 50 mìnutes. Elias can fold 120 packing boxes in 40 minutes. How long will it take each pers
Gre4nikov [31]
<h2>Dionne will fold 210 packing boxes in "60 mìnutes" and</h2><h2>Elias will fold 210 packing boxes in "70 mìnutes".</h2>

Step-by-step explanation:

Given,

Dionne can fold 175 packing boxes = 50 mìnute and

Elias can fold 120 packing boxes = 40 minutes

To find, the total time each person to fold 210 packing boxes = ?

∵ Dionne can fold 175 packing boxes = 50 mìnute

∴ In 1 mìnute, Dionne can fold number of packing boxes = \dfrac{175}{50} = 3.5

∴  Dionne can fold 210 packing boxes = \dfrac{210}{3.5} minutes

= 60 minutes

Also,

Elias can fold 120 packing boxes = 40 minutes

∴ In 1 mìnute, Elias can fold number of packing boxes = \dfrac{120}{40} = 3

∴  Elias can fold 210 packing boxes = \dfrac{210}{3} minutes

= 70 minutes

Thus, Dionne will fold 210 packing boxes in "60 mìnutes" and

Elias will fold 210 packing boxes in "70 mìnutes".

8 0
3 years ago
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