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3 years ago

Factor and Solve. Show work.

Mathematics

1 answer:

Naddik [55]3 years ago

4 0

Step-by-step explanation:

1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.

2. We will use the same process.

6x² + 14x - 3x - 7 = 0

2x (3x+7) - 1 (3x+7) = 0

(3x + 7)(2x - 1) = 0

3x + 7 = 0, 2x - 1 = 0

x = -7/3, x=1/2

Hope this helps!

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Help me please ill give brainliest give the CORRECT answer please

Neporo4naja [7]

Answer:

174 ft²

Step-by-step explanation:

Assuming you're interested in the area of the figure, you can compute it as the sum of the areas of the triangle and rectangle.

The unknown side of the triangle can be figured from the overall dimension of the rectangle and the two lengths that are not part of the triangle base:

6 ft + triangle base + 6 ft = 18 ft

triangle base = 18 ft - 12 ft = 6 ft

Then the area of the triangle is ...

A = 1/2bh = 1/2(6 ft)(4 ft) = 12 ft²

Of course, the area of the rectangle is the product of its length and width:

A = LW = (18 ft)(9 ft) = 162 ft²

The total area of the figure is the sum of these:

area = triangle area + rectangle area

area = 12 ft² +162 ft²

area = 174 ft²

3 0

2 years ago

I only need someone to put it in the quadratic formula I already have solutions. Please answer ASAP!!! I will give brainliest!!!

KengaRu [80]

The quadratic formula is $\frac{-b+-\sqrt[2]{b^2-4ac}}{2a}$

and in the equation ax^2+bx+c=0

so now all you have to do is substitute the numbers into the quadratic formula

7 0

2 years ago

Solve for x. 5/3 times x ≤ 10

arlik [135]

The answer is x <span> ≤ 6, i think</span>

5 0

3 years ago

Read 2 more answers

Use the slope formula to find the slope of the line through the points (2,10) and (10,−8).

Salsk061 [2.6K]

The slope formula is the changes of two y-values over/to the changes of two x-values.

$\large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }$

Substitute two given points in the formula to find the slope. The m-term represents the slope from y = mx+b.

$\large{m = \frac{10 - ( - 8)}{2 - 10} } \\ \large{m = \frac{10 + 8}{ - 8} } \\ \large{ m = \frac{18} { - 8} \longrightarrow \frac{9}{ - 4} } \\ \large \boxed{m = - \frac{9}{4} }$