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Lilit [14]
3 years ago
6

Please help!! Write in simplest radical form: √7/8 Show how you figured it out

Mathematics
1 answer:
12345 [234]3 years ago
3 0

Given expression: \sqrt{\frac{7}{8}}.

\mathrm{Apply\:radical\:rule\:}\sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}

=\frac{\sqrt{7}}{\sqrt{8}}

\sqrt{8}=\sqrt{2^2\cdot \:2}=2\sqrt{2}

\frac{\sqrt{7}}{\sqrt{8}} =\frac{\sqrt{7}}{2\sqrt{2}}

\mathrm{Rationalize\:}\frac{\sqrt{7}}{2\sqrt{2}}

\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{2}}{\sqrt{2}}

=\frac{\sqrt{7}\sqrt{2}}{2\sqrt{2}\sqrt{2}}

=\frac{\sqrt{14}}{4}

=\frac{\sqrt{14}}{4}.

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3m=2(4+x) solve for x
algol13
Simple.........

3m=2(4+x)

Simplify...

3m=2(4+x)

3m=8+2x

Isolate the variable....

3m=8+2x
-8      -8

3m-8=2x

\frac{3m-8}{2} = \frac{2x}{2}

\frac{3m}{2} -4=x

Thus, your answer.
4 0
3 years ago
Read 2 more answers
Factor the trinomial 2x^2+15x+7
Mashutka [201]

Answer:

(2x+1)(x+7)

Step-by-step explanation:

2x2+15x+7

For a polynomial of the form ax2+bx+c

, rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅7=14 and whose sum is b=15

.

Tap for more steps...

2x2+x+14x+7

Factor out the greatest common factor from each group.

Tap for more steps...

x(2x+1)+7(2x+1)

Factor the polynomial by factoring out the greatest common factor, 2x+1

.

(2x+1)(x+7)

3 0
2 years ago
How do I find each measure? Please I need answers ASAP it's due at 1:50
Norma-Jean [14]

Answer:

Angle CAD is 44 degrees

Angle ACD is 44 degrees

Angle ACB is 136 degrees

Angle ABC is 22 degrees

Explanation:

29. Triangle ADC is an isosceles triangle because it has two equal sides.

If segments AD and DC are congruent, then segment AC is the base and the base angles of an isosceles triangle are equal.

Let x be angle CAD.

Let's go ahead x;

\begin{gathered} 92+x+x=180\text{ (sum of angles in a triangle)} \\ 92+2x=180 \\ 2x=180-92 \\ 2x=88 \\ x=\frac{88}{2} \\ \therefore x=44^{\circ} \end{gathered}

Therefore, measure of angle CAD is 44 degrees.

30. Measure of angle ACD is 44 degrees (Base angles of an isosceles triangle are equal)

31. Let angle ACB be y,

Let's go ahead and find measure of angle ACB;

\begin{gathered} 44+y=180\text{     (angles on a straight line)} \\ y=180-44 \\ \therefore y=136^{\circ} \end{gathered}

So measure of angle ACB is 136 degrees.

32. Let angle ABC be z.

Triangle ACB is also an isosceles triangle so the base angles are the same.

Let's go ahead and find z;

\begin{gathered} 136+z+z=180_{}\text{    (sum of angles in a triangle)} \\ 138+2z=180 \\ 2z=180-136 \\ 2z=44 \\ z=\frac{44}{2} \\ \therefore z=22^{\circ} \end{gathered}

So measure of angle ABC is 22 degrees.

3 0
1 year ago
A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the
Amanda [17]

Answer:

The measure of the third arc is 150\°

Step-by-step  explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

42\°=\frac{1}{2}(x-y)

84\°=(x-y) ----> equation A

\frac{x}{y}=\frac{7}{3}

x=\frac{7}{3}y -----> equation B

Substitute equation B in equation A and solve for y

84\°=(\frac{7}{3}y-y)

84\°=(\frac{4}{3}y)

y=3*84\°/4=63\°

Find the value of x

x=\frac{7}{3}(63\°)=147\°

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

x+y+z=360\° -----> complete circle

substitute the values and solve for z

147\°+63\°+z=360\°

z=360\°-(147\°+63\°)=150\°

3 0
3 years ago
Will give Brainlest Answer please answer i need help
Rashid [163]

Answer:

  C.  {-1, 5, 8}

Step-by-step explanation:

Use each of the domain values in the function to see what the corresponding range value is.

  f(-1) = 5 -3(-1) = 8

  f(0) = 5 -3(0) = 5

  f(2) = 5 -3(2) = -1

The range is the set of numbers {-1, 5, 8}.

_____

<em>Additional comment</em>

The values in a set are generally listed lowest to highest. The coefficient of x in the equation for f(x) is negative, meaning the lowest range value will correspond to the highest domain value. If you start by finding f(2) = -1, you immediately eliminate all answer choices except B and C.

Those choices differ only in the middle value, so you can tell which is correct by evaluating f(x) for the middle domain value: f(0) = 5. Only one answer choice has both -1 and 5 in the set.

(There are two answers here: how you work the problem, and how you game a multiple choice question.)

4 0
2 years ago
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