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Julli [10]
4 years ago
14

The rectangle shown has a perimeter of 38 cm and the given area. Its length is 4 more than twice its width. Write and solve a sy

stem of equations to find the dimensions of the rectangle.
The length of the rectangle is ___cm and the width of the rectangle is
___ cm.
Mathematics
1 answer:
d1i1m1o1n [39]4 years ago
6 0

Answer:

L: 19, W: 5 Area: 70

Step-by-step explanation:

2 * (L+W) = 38

L + W = 19

L = 2 * W + 4

2 * W + 4 + W = 19

3W=15

W=5

L=14

Area= 5 x 14 =70

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Help please!!!!!!!!!!!!! Explain if possible
iris [78.8K]
Answer is C.
For every option, sub in the value and find the answer that matches the equation!

Example for option A, F(x) = x + 4 and G(x) = x²
G(F(x)) = G(x + 4) ーー> sub in the value of F(x)
Let's take the subbed in value, (x + 4) as x, and this x will be the x for G(x).

∴ Since G(x) is x²
G(x + 4) = (x + 4)² ーー> remember (x + 4) is represented as x.
= x² + 16
∴ You know that the answer is not A, do this for all options and you'll find the answer, C!

4 0
3 years ago
The population of a city is 100,000. It doubles each decade for 5 decades. Select all
nikitadnepr [17]
Not sure but I think it’s C
5 0
3 years ago
Read 2 more answers
Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps belo
bija089 [108]
<h3><u>Given</u> - </h3>

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

<h3><u>To solve</u> - </h3>

➙ the given quadratic equation.

<h3><u>Concept applied</u> - </h3>

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by \sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}} provided b - 4ac ≥ 0.

<h3><u>Solution</u> - </h3>

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}

\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}

\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}

\implies\sf{x=\frac{1 \pm\: 7}{4}}

Solving one by one,

\implies\sf{x=\frac{1 + \: 7}{4}}

\implies\sf{x=\frac{8}{4}}

\implies{\boxed{\bf{x=2}}}

________________

\implies\sf{x=\frac{1 - \: 7}{4}}

\implies\sf{x=\frac{-6}{4}}

\implies{\boxed{\bf{x=\frac{-3}{2}}}}

________________________________

<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>

<em>________________________________</em>

Hope it helps!! (:

4 0
2 years ago
(12) The Earth is one astronomical unit from the
swat32

X+5

Y-7

Fractions can someone help me pls

7 0
3 years ago
Read 2 more answers
PLS HELP 44 pts! Meg plotted the graph below to show the relationship between the temperature of her city and the number of peop
aev [14]

Answer:

Okay so I am not positive but I will try to help you out. Okay so the line of best fit would positive. Because it is all going up. The approximate slope is 3/4 Because slope is change in y over change in x. The y intercept of the line of best fit would be (0,0). This is because when drawing the line you can see that it would intercept the y-axis at zero. My steps taken were basically just looking at it and peicing everything together. If you want to get more involved with slope you could pick to coordinates which I will include and do change in y over change in x.

My points I will pick are (1,1) and (5,2)

2-1/5-1=3/4

therefore approximate slope is 3/4

Like I said I am not positive but I am just trying to help out in some way.

If something is incorrect please inform me. If this helps also please inform me.

4 0
3 years ago
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