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3 years ago

Factorise 3(x-y)^2 - 2(x-y)

Mathematics

2 answers:

a_sh-v [17]3 years ago

8 0

Answer:

4xy

Step-by-step explanation:

Anna11 [10]3 years ago

4 0

Answer:

$(x - y) [3(x - y) - 2]$

Step-by-step explanation:

$3(x - y)^{2} - 2(x - y)$

Lets take $(x - y)$ common from the expression.

$=> (x - y) [3(x - y) - 2]$

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A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

$h(x)=10+0.1(x^{1.5})$

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

$h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}$

$s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx$

Let $1+0.0225x=t$

$dx=\frac{1}{0.0225}dt$

$s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt$

$s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}$

$s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}$

$s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)$

s=28.21

Weight of cable= $28.21\times 10.4=293.38$ pound

8 0

3 years ago

What do you get when u count out 40 dollars with quarters? help me please

Rudiy27

Answer:

160 Quarters

Step-by-step explanation:

There are 4 quarters in a dollar, and we know that there are 40 dollars. Multiply 40 by 4 to get 160

Hope this helps :-)

3 0

3 years ago

I Need Help Answer Plz I Need It Badly!!!

salantis [7]

Answer: Yes it is.

Step-by-step explanation: So we are already told that segment AC is congruent to segment DC. They both have a right angle, as indicated by the angle symbol, and they share side-length BC.

According to the Hypotenuse-Leg Theorem, two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles. AC and DC are hypotenuses and they are congruent. And BC, the shared side, is a corresponding congruent leg. And since they are both right triangles, we then know that the HL Theorem applies.

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3 years ago

Find the exact volume of each cylinder

deff fn [24]

I need a picture of the cylinders to anwser your question.

7 0

3 years ago

Helps the first 2 questions

andriy [413]

Answer:

The first one is 5m - 4y.

The second one is 3x - 4y.

Step-by-step explanation:

5 0

4 years ago