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3 years ago

If the product of the extremes is 8,then the geometric mean is. A) 2. B) 2√2. C) 4

Mathematics

1 answer:

Rainbow [258]3 years ago

4 0

if,

p/x=x/q

then cross-multiplying gives x^2=pq

x^2=pq. Taking the square root of both sides, we get x=√pq as the geometric mean of p and q.

Hence in the given question the product of p and q is 8.

so,

x=√8

x=2√2

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Write the reciprocal of a) 7/10 b)3.5

Thepotemich [5.8K]

Answer:

$\frac{10}{7}$

$\frac{10}{35}$

Step-by-step explanation:

The reciprocal of a number is the inverse of the number

$\frac{7}{10} = \frac{10}{7} (reciprocal)$

$3.5 \: is \: also \: \frac{35}{10}$

$\frac{35}{10} = \frac{10}{35} (reciprocal)$

$you \: may \: choose \: to \: simplify \: to \: the \: lowest \: term \: depending \: on \: the \: question$

7 0

2 years ago

The measure of the supplement of an angle is 36 less than the measure of the angle. Find the measures of the angles.

-BARSIC- [3]

Answer:

∠1 → 108

∠2 → 72

Step-by-step explanation:

Supplementary angles add up to a total of 180° (two angles is a pair). So:

∠1+∠2=180°

∠1 → supplement

∠2 → 36 less than the supplement

Create an equation, using x as angle 1 and y as angle 2:

$x+y=180$

Insert the given values:

$x+(x-36)=180$

Solve for the value of x. Simplify parentheses:

$x+x-36=180$

Simplify addition:

$2x-36=180$

Add 36 to both sides:

$2x-36+36=180+36\\\\2x=216$

Isolate the variable. Divide both sides by 2:

$\frac{2x}{2}=\frac{216}{2}\\\\ x=108$

The value of x is 108. Insert this into the equation above:

$x+y=180\\\\108+y=180$

Solve for y. Subtract 108 from both sides:

$108-108+y=180-108\\\\y=72$

The value of y is 72.

Therefore:

∠1 → 108

∠2 → 72

:Done

*Check:

Insert the values into an equation set to 180 to determine if true:

$108+72=180\\\\180=180$

Subtract 108 by 72 to see if the difference is 36:

$108-72=36\\36=36$

The given values are true.

5 0

3 years ago

Please help I will give thank 5 stars 50 points and make brainliest

Alexandra [31]

Part A= the starting point is in quadrant 2 and the finishing point is in quadrant 4
is say this because the starting points X and Y value is Neg,Pos there is only one quadrant that has Neg X and Pos Y and that is quadrant 2 and for the finishing point its X and Y value is Pos,Neg and there is only one quadrant that has Pos X and Neg Y and that is quadrant 4

Part A=starting point at quadrant 2 and finishing point at quadrant 4 explanation is above.

Part B= the starting point and the are checkpoint have the same Y and opposite but same X they are equally far form 0 but relative to the finishing point the checkpoint is closer by 2 units on the X axis and the starting point is farther by 2 units on the X axis

7 0

3 years ago

What is the length of XY?

liubo4ka [24]

Answer: The length of $XY$ is 30.