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leonid [27]
3 years ago
10

How do I do this? please help Im stuck on this and I cant understand the concept.

Mathematics
1 answer:
miskamm [114]3 years ago
6 0

Answer:

take the total number of all x variables

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2. The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the re
xz_007 [3.2K]

Answer:

  • The length = x = 15 units
  • The width = x-5 = 10 units

Step-by-step explanation:

Let 'x' be the length of a rectangle

As the width of a rectangle is 5 units less than the length.

so

width of rectangle will be = w = x - 5 units

Area = 150 square units

Using the formula

Area = length × width

150=\left(x\right)\left(x-5\right)

150=x^2-5x

x^2-5x=150

Subtract 50 from both sides

x^2-5x-150=150-150

x^2-5x-150=0

\left(x+10\right)\left(x-15\right)=0

if

ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

x+10=0\quad \mathrm{or}\quad \:x-15=0

x=-10,\:x=15

As length can not be negative. so

x = 15 units

Hence,

The length = x = 15 units

The width = x-5 = 15-5 = 10 units

5 0
3 years ago
The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
Katen [24]

9514 1404 393

Answer:

  (h, k) = (9, -8)

Step-by-step explanation:

The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...

  (h, k) = (9, -8) . . . . the values of h and k

7 0
3 years ago
Which line has a slope of 0? A: x = 1 B: 3y + 6x = 0 C: y = x D: y = -5
padilas [110]

Answer:

D) y=-5

Step-by-step explanation:

..............

3 0
3 years ago
Drag steps in the given order to evaluate this<br> expression.<br> (-5)(2) – 2(-3) + 3
sesenic [268]

Answer:

-1

Step-by-step explanation:

using PEDMAS(parentheses, exponents, division, multiply, addition, subtraction) to solve the problem

First, multiply (-5)(2) and 2(-3)

(-5)(2) – 2(-3) + 3

=-10-(-6)+3

=-10+6+3

add -10+6

-4+3

Add -4+3

-4+3

=-1

Therefore, (-5)(2) – 2(-3) + 3 is equal to -1

4 0
3 years ago
Use the function rule to complete the table<br> -10x + y = 4
alexgriva [62]
Plug in the given numbers (x) to the equation. For example, let's take the first value it gives us. -10(-2) +y=4 20+y=4 y=-16 Then you would put that on the table, and plug in the next value(s). Hope this helped!
8 0
3 years ago
Read 2 more answers
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