Please help me- pt. 4

Mathematics

1 answer:

nignag [31]3 years ago

6 0

11/30 bags of mulch is needed.

Step-by-step explanation:

We have to find the number of bags of mulch.

7 (1/2) sq. yards need 2(3/4) bags of mulch.

So one sq. yd need 2(3/4) / 7(1/2)

We have to change the mixed fraction into improper fraction and then dividing them we will get the answer.

2(3/4) = ((2×4)+ 3)/4 = (8+ 3)/4 = 11/4

7(1/2) = ((7×2)+1)/2 = (14+1)/2 = 15/2

11/4 ÷ 15/2

It change into multiplication as,

11/4 × 2/15 = 11/30 bags of mulch is needed.

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If you multiply two binomials together, what type of polynomial will the product be?

Arturiano [62]

Depends
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(x-3)(x-4)=x²-7x+12

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7 0

3 years ago

Find an equation of the line that satisfies the given conditions.

8090 [49]

Answer:

$x=8$

Step-by-step explanation:

Given:

The equation of the given line is $y=9$

A point on the unknown line is (8, 5).

The unknown line is perpendicular to the line $y=9$ .

A line of the form $y=a$ where 'a' is a constant is a line parallel to the x axis. The line has a constant value for 'y' irrespective of the value of 'x'. The slope of such lines are equal to 0. So, slope of the known line is 0.

Now, when two lines are perpendicular, the product of their slopes is -1.

Let the slope of the unknown line be 'm', then:

$m\times 0 =-1\\m=-\frac{-1}{0}=$ undefined.

Therefore, the slope of the unknown line is undefined. A line parallel to y axis has undefined slope. So, the equation of the unknown line is of the form:

$x=b$ where, 'b' is a constant and is equal to the abscissa (x value) of the line.