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4 years ago

The end points of line segment AB are A(3,–12) and B(6,k).

1 answer:

5 0

(x,y) (3,-12) (6,k) y=mx+b sloope=m y=-2x+b sub known point (x,y) (3,-12) x=3 y=-12 -12=-2(3)+b -12=-6+b -6=b y=-2x-6 (6,k) k=-2(6)-6 k=-12-6 k=-18 k=-18

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Triangle ABC has perimeter 22cm

ASHA 777 [7]

9514 1404 393

Answer:

not a right triangle

Step-by-step explanation:

The perimeter is 22, so we have ...

AB +BC +CA = 22

8 + 5 + CA = 22

CA = 22 -13 = 9

If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.

AB² +BC² = 8² +5² = 64 +25 = 89

This is not the same as ...

CA² = 9² = 81

The triangle is not a right triangle.

_____

<em>Additional comment</em>

If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)

6 0

3 years ago

Divide. Write your answer in simplest form. -5/3 divided by (-1/8)

Y_Kistochka [10]

Answer:

13 1/3 or 40/3

Step-by-step explanation:

KCF

Keep -5/3 how it is

Change the division sign to a multiply sign

Flip -1/8, meaning make it the reciprocal (-8/1)

Then multiply across, getting 40/3

Lastly, you can change it to mixed for or leave it how it is, depending on the directions.

6 0

4 years ago

Read 2 more answers

Two thirds of a number reduced by 11 is equal to 4 more than the number find the number

Andrew [12]

X - the number

$\frac{2}{3}x-11=x+4 \ \ \ \ \ \ \ \ \ |\times 3 \\
2x-33=3x+12 \\ 
2x-3x=12+33 \\
-x=45 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-1) \\
x=-45$

The number is -45.

3 0

3 years ago

A room has 332 square feet that need painting. If a one-gallon can of paint covers 250 square feet, how many cans are needed to

katen-ka-za [31]

Answer:

2 cans of paint are needed to paint 332 square feet.

7 0

3 years ago

For a recent year, the number of men in the U.S Senate totaled 4 more than five times the number of woman. Find the number of me

algol13

Answer:

There are 84 men and 16 women in the U.S Senate.

Step-by-step explanation:

We are given the following in the question:

Let x be the number of males and y be the number of females.

Total members = 100

Thus, we can write the equation:

$x + y = 100$

Men in the U.S Senate totaled 4 more than five times the number of woman.

Thus, we can write the equation:

$x = 4 + 5y$

Solving the two equations by substitution method, we have,

$(4+5y) + y = 100\\\Rightarrow 4 + 6y = 100\\\Rightarrow 6y = 96\\\Rightarrow y = 16\\\Rightarrow x = 4 + 5(16) = 84$

Thus, there are 84 men and 16 women in the U.S Senate.

8 0

4 years ago