The points (-4,r) and (2,-3) lie on a line with a slope-1. Find the missing coordinator r.?

Mathematics

1 answer:

MAVERICK [17]3 years ago

7 0

Answer:

3 (-4,3)

Step-by-step explanation:

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A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 88 feetfeet less than th

Y_Kistochka [10]

Answer: The length of the ladder is 20 feet.

Step-by-step explanation:

Given : A ladder is leaning against a building so that the distance from the ground to the top of the ladder is 8 feet less than the length of the ladder.

Mathematically,

Let x be the length of the ladder then

Distance from ground to the top of the ladder = x- 8

If distance from the bottom of the ladder to the building is 16 feet.

Since ground makes right angle with building , so the triangle made by ladder should be a right triangle.

By Pythagoras theorem of right triangle , we hae

$(Hypotenuse)=(Perpendicular)^2+(Base)^2$

$\Rightarrow\ x^2=(x-8)^2+16^2\\\\\Rightarrow\ x^2=x^2+64-16x+256\ [\text{Using identity :} (a-b)^2=a^+b^2-2ab]\\\\\Rightarrow 0=-16x+320\\\\\Rightarrow\ 16x=320\\\\\Rightarrow\ x=\dfrac{320}{16}=20$

Hence, the length of the ladder is 20 feet.

4 0

3 years ago

Use a calculator to find the approximate value of sin-1 (0.549)

tatyana61 [14]

This is the concept of algebra, we are required to approximate the arcsin of the value given using a calculator;
sin theta=[opposite]/[hypotenuse]
arcsin is the inverse of sin, thus;
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the answer is 33.3984°

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3 years ago

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Use repeated addition to find the solution to each multiplication problem. Change any improper fractions to mixed numbers. 4x1/3

Nata [24]

Answer:

$1\frac{1}{3}$

Step-by-step explanation:

Given the following question:

$4\times\frac{1}{3}$

To find the answer simply multiply the numerators and the denominators by each other.

$4\times\frac{1}{3}$
$4=\frac{4}{1}$
$\frac{4}{1} \times\frac{1}{3}$
$4\times1=4$
$1\times3=3$
$=\frac{4}{3}$
$\frac{4}{3} =4\div3=1\frac{1}{3}$
$1\frac{1}{3}$

Hope this helps.