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2 years ago

The vertices of parallelogram DEFG are E(-1,4) F(5,6) and G (8,0). Find the coordinates of D

Mathematics

1 answer:

tangare [24]2 years ago

3 0

Answer:

The coordinates of D are (2,-2)

Step-by-step explanation:

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Find the common ratio of the following geometric sequence.

Elanso [62]

The answer is (4/5). If you multiply the first (5/12) over and over, you get this sequence.

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3 years ago

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

Is 28 cups greater or less than 14 Pints

marissa [1.9K]

Short answer: NO.

28 cups is exactly equal to 14 pints. (There are 2 cups per pint.)

3 0

3 years ago

What does x equal in this linear equation

maw [93]

6x=18 (2x+5) x=6x+15. x-15=6x 5x=15 x=3

3 0

3 years ago

Read 2 more answers

Consider this expression. -4x to the second power 2x - 5 (1 + x) What expression is equivalent to the given expression? blank x

iren [92.7K]

Answer:

what is the blank for

Step-by-step explanation:

sorry I mean bank

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2 years ago