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3 years ago

8x - 7x - 2 = 9 Solv Write your response... I how do u solve this

Mathematics

1 answer:

Mice21 [21]3 years ago

5 0

Answer:

$x=11$

Step-by-step explanation:

$x-2=9$ Subtract 7x from 8x.

$x=9+2$ Move all terms not containing x to the right side of the equation.

$x=11$ Add 9 and 2.

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Please answer this and will marked as brainlist

xeze [42]

<h3>Answer: 1</h3>

where x is nonzero

=======================================================

Explanation:

We'll use two rules here

(a^b)^c = a^(b*c) ... multiply exponents
a^b*a^c = a^(b+c) ... add exponents

------------------------------

The portion [ x^(a-b) ]^(a+b) would turn into x^[ (a-b)(a+b) ] after using the first rule shown above. That turns into x^(a^2 - b^2) after using the difference of squares rule.

Similarly, the second portion turns into x^(b^2-c^2) and the third part becomes x^(c^2-a^2)

-------------------------------

After applying rule 1 to each of the three pieces, we will have 3 bases of x with the exponents of (a^2-b^2), (b^2-c^2) and (c^2-a^2)

Add up those exponents (using rule 2 above) and we get

(a^2-b^2)+(b^2-c^2)+(c^2-a^2)

a^2-b^2+b^2-c^2+c^2-a^2

(a^2-a^2) + (-b^2+b^2) + (-c^2+c^2)

0a^2 + 0b^2 + 0c^2

0+0+0

All three exponents add to 0. As long as x is nonzero, then x^0 = 1

4 0

3 years ago

A triangle has a side length of 19inches and a perimeter of 95inches. A similar triangle has a corresponding side length of 20in

Rom4ik [11]

Answer:

100 inches

Step-by-step explanation:

A triangle has a side length of 19inches and a perimeter of 95inches. A similar triangle has a corresponding side length of 20inches. Find the perimeter of the larger triangle.

This is calculated using proportion

Side length/Perimeter

Hence:

Side length of smaller triangle = 19 inches

Perimeter of smaller triangle = 95 inchee

Side length of larger triangle = 20 inches

Perimeter of larger triangle = x

19/95 = 20/x

Cross Multiply

19x = 95 × 20

x = 95 × 20/19

x = 100 inches

The perimeter of the larger triangle = 100 inches

4 0

3 years ago

Write the point slope equation of the line through (7,-2) with slope of 1/2.

ahrayia [7]

Answer:

y = 0.5x - 5.5

Step-by-step explanation:

slope = 0.5, so this is the x coefficient.

y intercept = -2 - (7 x 0.5) = -5.5

4 0

3 years ago

Rectangle A measures 10 inches by 8 inches. Rectangle B is an enlarged copy of Rectangle A. Select all of the measurement pairs

Fudgin [204]

Answer:

See Explanation

Step-by-step explanation:

Given

Rectangle A:

$Length: 10\ in$

$Width: 8\ in$

Required

Determine the possible dimensions of Rectangle B

<em>The question has missing options; however, the question can still be solved.</em>

Rectangle B being an enlarged copy of A implies that the dimension of A A is enlarged in equal proportion to form B

Take for instance, the measurements of Rectangle B are

$Length: 15 in$

$Width: 12 in$

Divide the corresponding lengths of B by A to get the enlargement ratio

$Ratio = \frac{B}{A}$

For length:

$Ratio = \frac{15}{10}$

$Ratio = 1.5$

For width

$Ratio = \frac{12}{8}$

$Ratio = 1.5$

Notice that both ratios are the same.

For this measurement of B, we can conclude that B is an enlargement of A

Assume another measurements for B

$Length: 20\ in$

$Width: 10\ in$

Calculate Ratios

$Ratio = \frac{B}{A}$

For length:

$Ratio = \frac{20}{10}$

$Ratio = 2$

For width

$Ratio = \frac{10}{8}$

$Ratio = 1.25$

Notice that, both ratios are not equal.

For this measurement of B, we can conclude that B is not an enlargement of A

<em>Conclusively, all you have to do is: determine the ratios of the dimensions of B to A, if the result are equal then B is an enlarged copy of A; if otherwise, then B is not an enlarged copy</em>

5 0

3 years ago

Two catalysts in a batch chemical process, are being compared for their effect on the output of the process reaction. A sample o

anzhelika [568]

Answer:

2.083 < µ1 - µ2 < 5.917

Step-by-step explanation:

We will need to construct a 90% confidence interval for the difference of 2 means where the populations are normally distributed, and their variances are equal.

The calculations of the sample means and standard deviations are done for us.

Sample 1: Catalyst 1

n = 12, x = 85, s = 4

Sample 2: Catalyst 2

n = 10, x = 81, s = 5

See attached photo for the construction of the confidence interval...

3 0

3 years ago