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Degger [83]
3 years ago
7

The length of a rectangle is the sum of the width and 4. The area of the rectangle is 32

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

Answer:

The width of rectangle w = 4 units

Step-by-step explanation:

We are given:

Width of rectangle = w

Length of rectangle = w+ 4

Area of rectangle = 32 units

We need to find width of the rectangle

The formula used is: Area\:of\:rectangle=Length\times Width

Putting values and finding width of rectangle

Area\:of\:rectangle=Length\times Width\\32=(w+4)\times w\\32=w^2+4w\\w^2+4w-32=0

We need to solve this quadratic equation to find width (w)

We will use factorisation and break the middle term.

w^2+4w-32=0\\w^2+8w-4w-32=0\\w(w+8)-4(w+8)=0\\(w-4)(w+8)=0\\w-4=0\:or\:w+8=0\\w=4\:or\:w=-8

Since width of rectangle can't be negative, so rejecting w=-8

Therefore, the width of rectangle w = 4 units

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The number of girls in the Middle School Cyber Club was 6 more than double the number of boys, and in total there were 48 middle
Wittaler [7]

Answer:

g = number of girls;

b= number of boys

we know that: g= 6+2b

     and that: g+b= 156 kids in total

so we may write  g+b=(6+2b)+b=6+3b

                 but g+b= 156

so 6+3b = 156 => 3b= 156-6=150 =>   b=150/3=50 => b = 50 (number of boys)

g= 6+2b= 6+2 x 50= 106 => g =106 (number of girls)  

Step-by-step explanation:

5 0
3 years ago
Trisha was making muffins from scratch. She scooped out 2 cups of all-purpose flour and estimated that it weighed 250 grams. Whe
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Answer:

first, she should have measured one cup of flower then estimated how much another one would weigh, and added the results together.

Step-by-step explanation:

hope it helps have a good day

3 0
2 years ago
Complete the equation of the line through (-9,-9)(−9,−9)left parenthesis, minus, 9, comma, minus, 9, right parenthesis and (-6,0
saw5 [17]

Answer:

The equation of the line is;

y = 3x + 18

Step-by-step explanation:

We want to write the equation of the line through (-9,-9) and (-6,0)

we start by calculating the slope of the line

m = (y2-y1)/(x2-x1) = (0+ 9)/(-6+9) = 9/3 = 3

The general equation of the line is;

y = mx + c

y = 3x + c

To get c, we use any of the points

we substitute for example -6 for x and 0 for y

0 = 3(-6) + c

c = 0 + 18 = 18

So the equation of the line is;

y = 3x + 18

4 0
2 years ago
-1/2(2x-6)+9=-8 answer
Oxana [17]

Answer:

x= 20 i think sorry if it's wrong⊙﹏⊙

5 0
3 years ago
Read 2 more answers
What is the algebraic expression for the difference of 10-u
puteri [66]
I'm pretty sure that you answered it correctly. 10-U

4 0
3 years ago
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