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Tresset [83]
3 years ago
13

Which equation has solution x = -3?

Mathematics
1 answer:
vladimir1956 [14]3 years ago
7 0
Hi Brainiac

1/2(2x-6) = -6
We need to distribute
(1/2)(2x) + (1/2)(-6) = -6
2x/2 + -6/2 = -6
x - 3 = -6
x = -6 + 3
x = -3
Thus, The answer is D

I apologize for the late answer :(
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In the diagram below, XY and YZ are tangent to O which expression gives the measure of XYZ?
icang [17]

The solution of this question will make use of the Two Tangents from Point Theorem which states that "the measure of an angle formed by two tangents drawn from a point outside the circle is half the the difference of the intercepted arcs".


We can also see that the measure of arcs are: \overarc{XWZ}=245^{\circ} and\overarc{XZ}=115^{\circ}

Thus, as per the theorem, the measure of the \angle XYZ can be calculated as:

m\angle XYZ=\frac{1}{2}(\overarc{XWZ}- \overarc{XZ})

Therefore, we get:

m\angle XYZ=\frac{1}{2}(245^{\circ} -115^{\circ})

Thus, out of the given options, option B is the correct option.

8 0
3 years ago
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Three fourths of a number p less subtracted by 2 is 5 sixths of a number r plus 5
goldenfox [79]
Three fourths of a number p less subtracted by 2 is 5 sixths of a number r plus 5

3/4 of  p subtracted by 2 is 5/6 of a r plus 5

3/4 of p - 2 is 5/6 of r + 5

\frac{3}{4} p-2= \frac{5}{6} r+5   <--- answer?

\frac{3}{4} p= \frac{5}{6} r+7    

\frac{3p}{4} = \frac{5r}{6} +7

\frac{3p}{4}* \frac{6}{5r}  = 7

\frac{18p}{20r} = 7

\frac{9p}{10r} = 7

\frac{p}{r} = 7* \frac{10}{9}

\frac{p}{r} = \frac{70}{9}   <-- answer?

Hope this helps

5 0
3 years ago
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juin [17]

Answer:

8 1/4

Step-by-step explanation:

Solution by Formulas

converting mixed numbers to fractions, our initial equation becomes,

−11 -9

3×4

Applying the fractions formula for multiplication,

−11×−9

3×4

=99

12

Simplifying 99/12, the answer is

=814

7 0
3 years ago
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stich3 [128]

Answer:

y=mx+b

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b= where you start which is at 1

8 0
3 years ago
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Mazyrski [523]

Answer:

a) The rate of change is 3.5

b) The rate of change represents the price of a single cookie. $3.5

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b)

The equation of the relationship can be written as;

y=3.5 x + 0  where y is the amount collected and x is the number of cookies sold.

The slope here represents the price per cookie in $, $3.5

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