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Iteru [2.4K]
3 years ago
8

id="TexFormula1" title=" \frac{x - 27}{9} + \frac{x + 8}{8} x + 8" alt=" \frac{x - 27}{9} + \frac{x + 8}{8} x + 8" align="absmiddle" class="latex-formula">

Mathematics
1 answer:
Alinara [238K]3 years ago
5 0

\frac{9 {x}^{2} + 80x + 360 }{72}
If I'm not mistaken, this should be the answer
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Explain the connection between Đ2 and ĐB.<br> 654<br> 50<br> 659
Makovka662 [10]
The answer to your question would be 654
7 0
3 years ago
Find angles EFG pleaseee
Bumek [7]

Answer:

50 degrees.

Step-by-step explanation:

Angle FGE = 180-(7x+18) because angles on a straight line add up to 180 degrees.

Angle EFG = 180-38-(180-(7x+18))=6x-10 (Angles in a triangle add up to 180)

180-38-\left(-7x+162\right)=6x-10

180-38+7x-162=6x-10

7x-20=6x-10

Add 20 to both sides:

7x-20+20=6x-10+20

7x=6x+10

Subtract 6x from both sides:

7x-6x=6x+10-6x

x=10

Angle EFG=6x-10=6(10)-10=60-10=50

3 0
3 years ago
Read 2 more answers
If 3x^2 + y^2 = 7 then evaluate d^2y/dx^2 when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -,
S_A_V [24]
Taking y=y(x) and differentiating both sides with respect to x yields

\dfrac{\mathrm d}{\mathrm dx}\bigg[3x^2+y^2\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[7\bigg]\implies 6x+2y\dfrac{\mathrm dy}{\mathrm dx}=0

Solving for the first derivative, we have

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{3x}y

Differentiating again gives

\dfrac{\mathrm d}{\mathrm dx}\bigg[6x+2y\dfrac{\mathrm dy}{\mathrm dx}\bigg]=\dfrac{\mathrm d}{\mathrm dx}\bigg[0\bigg]\implies 6+2\left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2+2y\dfrac{\mathrm d^2y}{\mathrm dx^2}=0

Solving for the second derivative, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}=-\dfrac{3+\left(\frac{\mathrm dy}{\mathrm dx}\right)^2}y=-\dfrac{3+\frac{9x^2}{y^2}}y=-\dfrac{3y^2+9x^2}{y^3}

Now, when x=1 and y=2, we have

\dfrac{\mathrm d^2y}{\mathrm dx^2}\bigg|_{x=1,y=2}=-\dfrac{3\cdot2^2+9\cdot1^2}{2^3}=\dfrac{21}8\approx2.63
3 0
3 years ago
Mack wrote the equation x² + 7x + 84 = x² + 13x + 30 to show that the area of a changed rectangle is 84 ft² greater than the are
Sliva [168]
3 was added to each side (K12)
4 0
3 years ago
Read 2 more answers
What's the volume of this rectangular prism?
Snowcat [4.5K]

1. Find the length, width, and height of the rectangular prism.
2. Multiply the length, width, and height.
3. Write the answer in cubic units. For example: 60 inches3.

The length is the longest side of the flat surface of the rectangle on the top or bottom of the rectangular prism.

Ex: Length = 5 in.

<span>The width is the shorter side of the flat surface of the rectangle on the top or bottom of the rectangular prism. <span>Ex: Width = 4 in.The height is the part of the rectangular prism that rises up. Imagine that the height is what stretches up a flat rectangle until it becomes a three-dimensional shape. <span>Ex: Height = 3 in.You can multiply them in any order to get the same different result. The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height * Width, or V = L * H * W. <span>Ex: V = 5 in. * 4 in. * 3 in. = 60 in.Since you're calculating volume, you're working in a three-dimensional space. Just take your answer and state it in cubic units. Whether you're working in feet, inches, or centimeters, you should state your answer in cubic units. <span>60 will become 60 in3.</span></span></span></span><span><span><span><span>
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5 0
3 years ago
Read 2 more answers
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