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4 years ago

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 > 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