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irinina [24]
3 years ago
6

The area of a triangle is found by multiplying half of the measure of its base by its height. The area of the following right tr

iangle is 18 square centimeters.
A. Write and solve an equation to find the value of h. Include all of your work in your answer.
B. In two or more complete sentences, verify your answer using mental math.

Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

AREA OF TRAINGLE =18

WE NO THE AREA OF 1/2 BH

B=6

PLUGGING IN THE VALUES

18 1/2 6 (H+1)

6=H+1

H=5

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If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
Papessa [141]
5/11 = 18/y
5 y = 18 · 11
5 y = 198
y = 198 : 5 
y = 39.6
3 0
2 years ago
Express 2x+1/(x-2)(x²+1) as a partial fraction.
Oduvanchick [21]

Answer:

Partial fraction = 1/(x-2) - x/(x^2+1)

Step-by-step explanation:

Question:

Express 2x+1/(x-2)(x²+1) as a partial fraction.

Note: it will be assumed that there was a typo in the interpretation of parentheses to mean

(2x+1) / ( (x-2)(x^2+1) )

Let

(2x+1) / ( (x-2)(x^2+1) ) = A/(x-2) + (Bx+C)/(x^2+1) .........................(0)

(2x+1) / ( (x-2)(x^2+1) ) = (A(x^2+1)+(Bx+C)(x-2)) / ( (x-2)(B/(x^2+1) )

(2x+1) / ( (x-2)(x^2+1) ) = (Ax^2+A+Bx^2+(C-2B)x-2C) / ( (x-2)(B/(x^2+1) )

(2x+1) / ( (x-2)(x^2+1) ) = ( (A+B)x^2+(C-2B)x+A-2C ) / ( (x-2)(B/(x^2+1) )

Match numerators

2x+1 = (A+B)x^2+(C-2B)x+A-2C

Match coefficients,

A+B = 0 ..................(1)

-2B+C = 2 .................(2)

A-2C = 1 ...................(3)

Solve for A, B and C

Substitute A from (1) in (3)

-B - 2C =1  

transpose and solve for B

B = -2C-1  ....................(4)

Substitue B from (4) in (2)

-2(-2C-1) + C = 2  

simplify

5C = 2-2 = 0

C=0  ..........................(5)

substitute (5)  in (4)

B = -2C-1 = -1  ...............(6)

Substitue (6) in (1)

A+(-1) = 0

A=1 .............................(7)

Using values from (7), (6) and (5) to substitute in (0)

we get

(2x+1) / ( (x-2)(x^2+1) ) = 1/(x-2) - x/(x^2+1)

as the required partial fraction

7 0
3 years ago
Read 2 more answers
PLEASE HELP ME I WILL GIVE BRAINIEST IM STUDYING HELP A PERSON OUT NO SCAMMSSS>S>>S
ASHA 777 [7]

Answer:

White

Step-by-step explanation:

20 divided by 4 = 5

White was spun 5 times.

7 0
3 years ago
Identify the slope of the line shown in the graph below: Graph of a vertical line with an x intercept of 5.
4vir4ik [10]
The slope is undefined, if the line is vertical the slope equation m=(change in y)/(change in x) becomes undefined because youd be dividing by zero
3 0
3 years ago
Read 2 more answers
Helppp please im confused a bit
fredd [130]

So for this one, all you have to do is plot the points it's giving you :)

Then you connect the lines and you get a shape from A-b-c-d

4 0
2 years ago
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