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saul85 [17]
2 years ago
6

Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.What expressions can

Mandisa use to represent the length and width of her yard?
(2x + 2) and (5x – 7)
(5x – 2) and (2x + 7)
(x – 2) and (10x + 7)
(10x + 2) and (x – 7)
Mathematics
1 answer:
Y_Kistochka [10]2 years ago
4 0

Answer: (x–2) and (10x+7)

Step-by-step explanation:

10x^2 – 13x – 14=

10x^2 – 20x + 7x – 14=

10x(x–2) + 7(x–2)=(x–2)(10x+7) ==> 3rd option

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Nancy found that x=1 is one solution to the quadratic equation (x 2)2=a. what is the value of a?
trasher [3.6K]

The value of the a in the quadratic equation is 4.

According to the statement

we have given that the x = 1 and the given equation is  (2x)^2=a

And we have to find the value of A here.

So, For this purpose, we know that the

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared.

And the given quadratic equation is

(2x)^2 = a

we know that the x  = 1 and put the value of x in it then

(2(1))^2= a

(2)^2= a

a  = 4.

Now for rechecking of the value, put a = 4 in the given equation then

(2x)^2 = a

Put a  = 4

Then

(2x)^2 = 4

2x = 2

And the value of x become

x = 1.

Which equal to the given value of the x which is 1.

So, The value of the a in the quadratic equation is 4.

Learn more about Quadratic equation here

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2 years ago
Write the equation of the line shown
Vanyuwa [196]

Answer:

y = \frac{1}{2} x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 1) ← 2 points on the line

m = \frac{1-0}{0-(-2)} = \frac{1}{0+2} = \frac{1}{2}

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = \frac{1}{2} x + 1 ← equation of line

3 0
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I think it's Real numbers
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3 years ago
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An = 3.5 +2.8 (n-1)<br> f(n) =
aksik [14]

Answer:

f(n) = 2.8n + 0.7

Step-by-step explanation:

The form of the linear function is f(x) = m x + b, where

  • x is the input
  • f(x) is the output

Let us solve the question

∵ The rule of the arithmetic sequence is a_{n} = 3.5 + 2.8(n - 1), where

  • a_{n} is the nth term ⇒ output
  • n is the number of the term ⇒ input

→ To write it as a function replace a_{n} by f(n)

∵ a_{n} = f(n)

∴ f(n) = 3.5 + 2.8(n - 1)

→ Simplify the right side to make it in the form of the function above

∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)

→ Remember (+)(-) = (-)

∴ f(n) = 3.5 + 2.8n - 2.8

→ Add the like terms in the right side

∵ f(n) = 2.8n + (3.5 - 2.8)

∴ f(n) = 2.8n + 0.7

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Simplify:<br>2a/3x+3a/2x+5a/6x​
xz_007 [3.2K]

Answer:

the answer is 10a+11x

Step-by-step explanation:

2a+3a+5a=10a

3x+2x+6x=11x

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2 years ago
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