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4 years ago

Can someone tell me the answer and explanation plz I’ll give brainlist points

Mathematics

1 answer:

MAVERICK [17]4 years ago

4 0

Answer:

Step-by-step explanation:

to cancel out the bottom part of the fraction, we multiply by 3. so now we have y+1= 6. we subtract 1, and get y=5

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Which describes how to find the solution 5k >22

inysia [295]

Answer:

Step-by-step explanation:

$5k>22\qquad\text{divide both sides by 5}\\\\\dfrac{5k}{5}>\dfrac{22}{5}\\\\k>4\dfrac{2}{5}\to k>4.4\to k\in(4.4,\ \infty)$

8 0

3 years ago

Can you see an easy way to work out the value of <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%201%5E3%20%2B%202%5E3%20%2B%203%5E

Lina20 [59]

We have the sum of cubes identity

$a^3 + b^3 = (a + b) (a^2 - ab + b^2)$

and observing that 1 + 4 = 2 + 3, we have

$1^3 + 4^3 = (1 + 4) (1^2 - 4 + 4^2) = 5 \times 13$

and

$2^3 + 3^3 = (2 + 3) (2^2 - 6 + 3^2) = 5 \times 7$

Then

$\sqrt{1^3+2^3+3^3+4^3+5^3} = \sqrt{5\times13 + 5\times7 + 5\times5^2} = \sqrt{5 \times (20 + 25)} \\\\ ~~~~~~~~ = \sqrt{5^2 \times (4 + 5)} = \sqrt{5^2\times9} = \sqrt{5^2\times3^2} = 5\times3 = \boxed{15}$

Alternatively, we have the well-known sum of cubes formula

$\displaystyle \sum_{i=1}^n i^3 = \frac{n^2(n+1)^2}4$

The sum under the square root is this sum with $n=5$ . Then

$1^3+2^3+3^3+4^3+5^3 = \dfrac{5^2\times6^2}4 = 225 = 15^2$

and so the square root again reduces to 15.

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2 years ago

Find the slope of the line passing through the points (-2, 9) and (-10, 33).

Nina [5.8K]

Slope = rise / run = Δy / Δx = (y2 - y1) / (x2 - x1) = [33 - 9] / [ (-10 - (-2)]

Slope = 24 / ( -8) = - 3

Answer: - 3

8 0

3 years ago

A small tree was planted at a height of 9 feet. The tree has been planted for 16 months and is now 57 feet tall. Write an equati

bekas [8.4K]

Answer:

First you have to know what x and y mean in the equation. They told you in the problem that x is the avg # of feet the tree grew each month. That means that the number multiplied by x is the number of months.Y will be the total height. That number is 57.6. When y = 57.6, the number that should be multiplied by x is 16.The tree starts at 8 ft tall, not 0 feet, so the y-intercept in this equation should be 8, because even when 0 months have passed, it will be 8 ft tall. So you know the equation will have the +8 in it added to the slope times x part.It should be d. 16x + 8 = 57.6.

Step-by-step explanation:

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3 years ago

Suppose that the endpoints of the hypotenuse of a 30-60-90 triangle are (4, -2) and (7,2). Find the lengths of the

UkoKoshka [18]

Answer:

90-60-30=0/. 4-2=2 and 7-2=5

4 0

3 years ago