Answer:
<h2>1/3 pie r^3h( Formula)</h2><h2>1/3×22/7×7^3×25=(22×7×7×7×25)/21</h2><h2>=8983.333 =8983m^3</h2>
Answer:
8 units = L
Step-by-step explanation:
The area of a rectangle is the product of length and width.
A = L*W
If A = 56 units^2 and W = 7 units, then L = (56 units^2) / (7 units) = 8 units = L
Your answer is D.
The jeans are 40% off (because you add 20% more).
And the original cost of the jeans is $30.
You could have done:
30 · 0.40 = 12 (Find 40% of $30, then subtract 30 by 40% of 30 to get the new sale price]
30 - 12 = 18
1 - 0.40 = 0.60 (You subtract 1 by 0.40 to get 0.60, which is the % of the original price that you have to pay)
30 · 0.60 = 18
First, we must understand what standard form of a line is. Standard form of a line is written like such that A,B, and C are all integers, and A must be positive. First, we must calculate the slope of the line that passes through theses coordinates.
<span>As a refresher, this is the equation to figure out the slope of two coordinates.Now, we just simplify the numerator and denominator. <span> </span></span>
The next step is to utilize point-slope form, which is where is a point on the line. Of course, we already know that (7,-3) and (4,-8) both lie of the line. Therefore, plug in one fot he coordinates. Once converted into point-slope, we must then convert into standard form. This is what is demonstrated in the next step.
<span>Let's multiply all sides by 3 to get rid of the fraction early.Distribute the 5 to both terms in the parentheses.Subtract 9 from both sides.Subtract 5x on both sides.We aren't done yet! The coefficient of the x-term must be positive. Therefore, divide by -1 on both sides.<span>This is standard form now, so we are done!</span></span>
Answer:
![g(x)=-x^2-8x-22](https://tex.z-dn.net/?f=g%28x%29%3D-x%5E2-8x-22)
Step-by-step explanation:
Perform the multiplication and addition:
![g(x)=-(x+4)^2-6=-(x^2+8x+16)-6=-x^2-8x-16-6\\\\g(x)=-x^2-8x-22](https://tex.z-dn.net/?f=g%28x%29%3D-%28x%2B4%29%5E2-6%3D-%28x%5E2%2B8x%2B16%29-6%3D-x%5E2-8x-16-6%5C%5C%5C%5Cg%28x%29%3D-x%5E2-8x-22)
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<em>Comment on the squaring</em>
There are several ways you can find the square (x+4)².
- Use your knowledge that (x+a)² = x²+2ax+a².
- Use FOIL* to compute (x+4)(x+4) = x² +4x +4x +4² = x²+8x+16
- Use the distributive property: (x+4)(x+4) = x(x+4) +4(x+4) = x² +4x +4x +4² (same as FOIL for two binomials)
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* FOIL is mnemonic for {First, Outer, Inner, Last} referring to pairs of terms in the factors (x +a)(x +b). The x terms are the First terms. The Outer terms are the first x and b. The Inner terms are "a" and the second x. The Last terms are "a" and "b". You are to form the sum of those pairs of terms to find the product of the binomials.