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podryga [215]
4 years ago
6

Express the area of this triangle as monomial.

Mathematics
1 answer:
gladu [14]4 years ago
5 0

The formula of an area of a triangle:

A=\dfrac{1}{2}bh

b - base

h - height

We have b = 8x and h = 7x. Substitute:

A=\dfrac{1}{2}(8x)(7x)=(4x)(7x)=28x^2

<h3>Answer: 28x²</h3>
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Solve the system of linear equations by graphing y=-x+7 and y=x+1
photoshop1234 [79]

Answer:

x=3, y=4. (3, 4).

Step-by-step explanation:

y=-x+7

y=x+1

-----------

-x+7=x+1

-x-x+7=1

-2x=1-7

-2x=-6

2x=6

x=6/2

x=3

y=3+1=4

7 0
3 years ago
Write a value that makes 3 &gt; x true How do you<br> know?
Vera_Pavlovna [14]

Answer:

3 > x

x=2

because 3 is larger than 2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help me do it
Lana71 [14]

Step-by-step Explanation:

We are going to solve this problem using integration by parts. We can write the integrand as

\dfrac{4x}{x^2+4x+3} = \dfrac{4x}{(x+3)(x+1)}

\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{A}{x+3} + \dfrac{B}{x+1}

\:\:\:\:\:\:\:\:\:\:\:\:\:= \dfrac{Ax + A + Bx + 3B}{x^2+4x+3}

\:\:\:\:\:\:\:\:\:\:\:\:\:=\dfrac{(A+B)x + (A+3B)}{x^2+4x+3}

Comparing the above term to the left hand side, we can see that

(A + B)x = 4x

A + 3B = 0

Solving for A and B, we find that A = 6 and B = -2 so our integrand becomes

\dfrac{4x}{x^2+4x+3} = \dfrac{6}{x+3} - \dfrac{2}{x+1}

We can now easily integrate this expression as follows:

\displaystyle \int{\dfrac{4x}{x^2+4x+3}}dx = 6\int{\dfrac{dx}{x+3}} - 2\int{\dfrac{dx}{x+1}}

\:\:\:\:\:\:\:\:\:\:\:\:\:= 6\ln|x+3| - 2\ln|x+1| + C

7 0
3 years ago
What is LCM? Find the LCM of 20 and 30.
SOVA2 [1]
The LCM for 20 and 30 is 60 because 20 times 3 equals 60 and 30 times 2 is 60
4 0
3 years ago
Read 2 more answers
Graph Points<br> Where is the point (0, 1)?<br> OX-axis<br> origin<br> y-axis
Ket [755]

Answer:

On the y axis

Step-by-step explanation:

Given

(x,y) = (0,1)

Required

Determine the location of the point

(x,y) = (0,1)

This implies that;

x = 0

y = 1

For any given point

Where x = 0 and y \ne 0

It means that the point lies on the y axis.

See attachment for further explanation

5 0
4 years ago
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