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svlad2 [7]
2 years ago
11

What is the product of (5r+2)(3r-4)

Mathematics
1 answer:
OLEGan [10]2 years ago
8 0

Answer:

\large\boxed{(5r+2)(3r-4)=15r^2-14r-8}

Step-by-step explanation:

(5r+2)(3r-4)\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(5r)(3r)+(5r)(-4)+(2)(3r)+(2)(-4)\\\\=15r^2-20r+6r-8\qquad\text{combine like terms}\\\\=15r^2+(-20r+6r)-8\\\\=15r^2-14r-8

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Mario’s company makes unusually shaped imitation gemstones. One gemstone has 14 faces and 10 vertices. How many edges does the g
Ivan
The gemstone has 22 edges.

We use Euler's formula on this:

F + V - E = 2

Substituting our information, we have:

14 + 10 - E = 2

Combining like terms, 
24 - E = 2

Subtract 24 from both sides:
24 - E - 24 = 2 - 24
-E = -22

Divide both sides by -1:
-E/-1 = -22/-1
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3 0
3 years ago
Simplify by using the distributive property and then combining like terms for the expression 7(2x+3)
max2010maxim [7]

Answer:

14x+21

Step-by-step explanation:

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6 0
2 years ago
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ki77a [65]
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3 years ago
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2 years ago
Write an equation for the line that passes through (- 3, 5) and is parallel to y = - 6x + 1.
soldier1979 [14.2K]

Answer:

y-5 = -6(x+3) OR y = -6x-13

Step-by-step explanation:

Let's use slope-intercept form to solve this problem.

Slope intercept form is the following:

y-y1 = m(x-x1)

x1 and y1 are given by the point in the problem.

x1 = -3, y1 = 5.

m is given by the equation in the problem. Lines that are parallel have the same slope. Thus,

m = -6.

If we plug these values into the equation for slope intercept form, we get the following:

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This is an acceptable answer to the problem. However, point-slope form is also a way it can be written.

y-5 = -6x-18

y = -6x-13

3 0
2 years ago
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