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slavikrds [6]
3 years ago
11

Carla draws two rectangles.

Mathematics
1 answer:
Strike441 [17]3 years ago
8 0

Answer:

A rectangle with a width of 5 inches and a length of 7 inches.

A rectangle with a width of 4 inches and a length of 6 inches

Step-by-step explanation:

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Can someone please help??? WILL MARK BRAINLIEST
olya-2409 [2.1K]

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)


To find the slope, you can use the slope formula and plug in the two points:

(3,63) = (x₁ , y₁)

(5,107) = (x₂, y₂)

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

m=\frac{107-63}{5-3}

m=\frac{44}{2}

m = 22


Now that you know m = 22, plug it into the equation:

y = mx + b

y = 22x + b

To find "b", plug in one of the points into the equation (I will do both points)

(3,63)

y = 22x + b

63 = 22(3) + b

63 = 66 + b    Subtract 66 on both sides

-3 = b


(5,107)

y = 22x + b

107 = 22(5) + b

107 = 110 + b    Subtract 110 on both sides

-3 = b


y = 22x - 3

8 0
3 years ago
Quadratic Equation
Natasha_Volkova [10]

Step-by-step explanation:

The sum of ages of two friends is 13 years.

The product of their ages is 42.

<em>Let the age of 1st friend and 2nd friend is x, y respectively.</em>

<em>1 st condition= The sum of ages of two friends is 13 y</em><em>r</em><em>s. </em>

i.e x+y = 13........ (I)

<em>2nd condition= The product of their ages is 42.</em>

i.e X*y = 42........(ii)

From equation (I)

X+y = 13

or, X = 13-y........ (iii)

<em>Putting the equation (iii) in equation (ii).</em>

X*y= 42

(13-y) * y = 42

13y - y^2 = 42

{y}^{2}  - 13y + 42 = 0

{y}^{2}   - (7 + 6)y + 42= 0

{y}^{2}  - 7y - 6y + 42 = 0

y(y - 7) - 6(y - 7) = 0

(y - 6) (y - 7) = 0

Either; y-6 = 0

y = 6

Or;

y-7=0

y = 7

<em>Keeping the value of y as "7" in equation (ii)</em>

x*y = 42

7x = 42

X = 42/7

Therefore, the value of X is 6.

Therefore, either 1st friend is 6 years and 2nd is 7 years.

<em><u>H</u></em><em><u>o</u></em><em><u>p</u></em><em><u>e</u></em><em><u> </u></em><em><u>it </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
3 years ago
What is the best first step in solving the equation 3 +<img src="https://tex.z-dn.net/?f=3%5Csqrt%5B6%5D%7Bx%7D" id="TexFormula1
Andreas93 [3]

3+3\sqrt[6]{x}~~ = ~~5\implies \stackrel{\textit{1st step,-3 to both sides}}{3\sqrt[6]{x}~~ = ~~2}\implies \sqrt[6]{x}=\cfrac{2}{3} \\\\\\ (\sqrt[6]{x})^6=\left( \cfrac{2}{3} \right)^6\implies x=\cfrac{2^6}{3^6}\implies x=\cfrac{64}{729}

6 0
2 years ago
How would you read this inequality? Answer in a sentence. x&lt;21
Lubov Fominskaja [6]

Answer:

x is less than twenty one

5 0
2 years ago
2×2=<br><br> Have a nice night.
nydimaria [60]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
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