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kap26 [50]
4 years ago
9

Same side exterior angles if m<1=4x+15 and m<8=3x+11, solve for the value of x

Mathematics
1 answer:
ella [17]4 years ago
7 0

Answer:

x = 22

Step-by-step explanation:

same- side exterior angles are supplementary, thus

4x + 15 + 3x + 11 = 180, that is

7x + 26 = 180 ( subtract 26 from both sides )

7x = 154 ( divide both sides by 7 )

x = 22

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Factor completely 2x5 + 10x4 - 22x3.
PIT_PIT [208]

Answer:  2x³(x² + 5x - 11)

<u>Step-by-step explanation:</u>

2x⁵ + 10x⁴ - 22x³

Factor out the GCF (2x³)

2x³(x² + 5x - 11)

Since there are no values whose product is -11 and sum is +5, this cannot be factored further.

4 0
3 years ago
Work out <br>a. 5 x 1/8<br><br>b.1/7 x 6 <br><br><br>plzz help ​
yan [13]

Answer:

Step-by-step explanation:

5 * 1/8=  5/8

1/7*6=  6/7

Place the whole number over 1 and multiply.

8 0
2 years ago
Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 8y), (9, 1, 0)
Archy [21]

Answer:

x - 8y - z = 1

Step-by-step explanation:

Data provided according to the question is as follows

f(x,y) = z = ln(x - 8y)

Now the equation for the tangent plane to the surface

For z = f (x,y) at the point P (x_0,y_0,z_0) is

z - z_0 = f_x(x_0,y_0)(x-x_0) + f_y(x_0,y_0)(y-y_0)\\

Now the partial derivatives of f are

f_x(x,y) = \frac{1}{x-8y} \\\\f_y(x,y) = \frac{8}{x-8y} \\\\P(x_0,y_0,z_0) = (9,1,0)\\\\f_z(9,1,0) = (\frac{1}{x-8y})_^{(9,1,0)}

\\\\=\frac{1}{9-8}

= 1

Now

f_y(9,1,0)=(\frac{8}{x-8y})_{(9,1,0)}\\\\ = -\frac{8}{9 - 8}

= -8

So, the tangent equation is

z - 0 = 1\times (x - 9) -8\times (y - 1)

Now after solving this, the following equation arise

z = x - 9 - 8y + 8

z = x - 8y - 1

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x - 8y - z = 1

4 0
3 years ago
Write the Standard Form equation of a line with slope 8/7 and has a y− intercept of 5 .
Leni [432]

Answer:

y=8/7x+5

Step-by-step explanation:

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6 0
3 years ago
Solve (get the variable by itself): m / (-4) = -2.95
kenny6666 [7]
M / -4 = -2.95
As you can see, the variable m is currently in a fraction with a denominator of -4. So to get ride of the fraction and find m and its value, you should multiply both sides by the denominator of the fraction, which is in our case -4.
So m / -4 = -2.95
(m/-4) * -4 = -2.95 * -4
m = 11.8

You can recheck your answer (very important):
m / -4 = 11.8 / -4 = -2.95
The answer has been approved.

Hope this Helps! :)
7 0
3 years ago
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