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makvit [3.9K]
3 years ago
14

(3,2) and (4,9) = y=7x-19 or y=7x+21

Mathematics
1 answer:
Mumz [18]3 years ago
3 0

When solving for this problem, replace x with the first coordinate and solve. if the answer is what you have for the second, it is correct. The first number in an ordered pair is your x and the second is your y. So I would rewrite the equation like this and solve.

          y=7x-19                                            y=7x+21

2=7(3)-19         9=7(4)-19                2=7(3)+21       9=7(4)+21    

2=21-19            9=28-19                 2=21+21          9=28+21

2=2                   9=9                       2=42               9=49

as you can see it is the first equation.

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2.045 , 2.43 , 25/9. Hope this helped ;)
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4 years ago
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Answer:

Angle A (42) Angle B (12.2)

Step-by-step explanation:

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The length of a rectangle is (2x –1) units, and the width is (x − 2) units. The area of the rectangle is 20 square units. What i
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Length of the given rectangle is 8 units.

Option - D

<u>Solution:</u>

Given that  

Length of a rectangle = (2x-1)\text { units}

Width of a rectangle = (x-2)\text{ units}

Area of rectangle = 20 square units  

Need to calculate length of rectangle.

\text { Formula of area of rectangle }=\text { Length of a rectangle } \times \text { Width of a rectangle }

Substituting given value of Area of rectangle and expressions for length and width of rectangle in formula, we get

20=(x-2)(2 x-1)

On solving above equation for x we get

\begin{array}{l}{20=x(2 x-1)-2(2 x-1)} \\\\ {\Rightarrow 20=2 x^{2}-x-4 x+2} \\\\ {\Rightarrow 2 x^{2}-5 x+2-20=0} \\\\ {\Rightarrow 2 x^{2}-5 x-18=0}\end{array}

On splitting the middle term in such a way that product of split terms comes as 2x^2\times -18 = -36x^2 and summation comes as -5x, we get

\begin{array}{l}{\Rightarrow 2 x^{2}+4 x-9 x-18=0} \\\\ {=>2 x(x+2)-9(x+2)=0} \\\\ {\Rightarrow(2 x-9)(x+2)=0} \\\\ {\Rightarrow(2 x-9)=0 \text { or }(x+2)=0} \\\\ {\Rightarrow x=\frac{9}{2} \text { or } x=-2}\end{array}

\begin{array}{l}{\text { When } x=\frac{9}{2}, \text { length }=(2 x-1) \text { units }=\left(2 \times \frac{9}{2}-1\right)=8 \text { units }} \\\\ {\text { When } x=-2, \text { length }=(2 x-1) \text { units }=(2 \times(-2)-1)=-5 \text { units }}\end{array}

As length cannot be negative hence we can ignore negative value.

So length is 8 units.

3 0
3 years ago
Misumi started with $217 in her bank account. She deposits $25.50 each week and never withdraws any money. What expression can M
Paha777 [63]

Answer:

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Step-by-step explanation:

Let the number of weeks be represented by = w

Misumi started with $217 in her bank account.

She deposits $25.50 each week and never withdraws any money.

Therefore, the expression that Misumi can use to determine her account balance after w weeks is given as:

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Answer:

A

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because 2 times 2 equals 4 and the square root just means what times itself equals this

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