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3 years ago

Four more than the quotient of a number and 8 is equal to 6

Mathematics

1 answer:

Phantasy [73]3 years ago

8 0

Answer:

4 + 8x = 6

Step-by-step explanation:

4 more (add)

quotient (multiply) of an unknown number (x) and 8

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Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y

zmey [24]

Answer:

$n = 3$

$XY = 39$

$XZ = 39$

Step-by-step explanation:

Given

$XY = 9n + 12$

$XZ = 15n - 6$

Solving (a): n

To solve for n;

We make use of

$XY = XZ$

Substitute values for XY and XZ

$9n + 12 = 15n - 6$

$9n - 15n = -12 - 6$

$-6n = -18$

Divide through by -6

$n = 3$

Solving (b) XY

$XY = 9n + 12$

Substitute 3 for n

$XY = 9 * 3 + 12$

$XY = 27 + 12$

$XY = 39$

Solving (c): XZ

$XZ = XY$

$XZ = 39$

7 0

3 years ago

What is the perimeter of ^PQR with vertices P(-2,9) Q(7,-3) and R(-2,-3) in the coordinate plane?

e-lub [12.9K]

Using the distance formula we can determine the perimeter of PQR.

Distance formula: d=√(x-x1)^2+(y-y1)^2
distance of PR: √(-2+2)^2+(9+3)^2= 12
distance of QR: √(7+2)^2+(-3+3)^2=9
distance of PQ: √(7+2)^2+(-3-9)^2= 15

Perimeter: 12+9+15=36

5 0

3 years ago

Drag the blue point to a place on the number line

sergejj [24]

Answer:

The number line is shown below.

Step-by-step explanation:

We need to represent number that is less than 3 on a number line.

Let x be numbers.

So, $x$ .

Now, we have a number which represents x<3. Here 3 is not included in the solution set, so there is an open circle on 3 and left side of 3 are in the solution set.

The number line is shown below.