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3 years ago

Which expression is equivalent to x^-5/3

Mathematics

1 answer:

goblinko [34]3 years ago

3 0

Answer:

Step-by-step explanation:

with a fractional exponent, the denominator becomes the root number. so we need a root of 3, which only b and c have.

between those two, b has no negative present whereas c does. since the original exponent was -5/3 we know our answer should have one.

thus c is our answer.

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Solve for y. answer to the nearest tenth & solve for x. NEED HELP WITH BOTH THESE QUESTIONS !!

Inessa [10]

Answers:

5. x = 1

6. y = 11.5

Step-by-step explanation:

For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:

AC * CD = BC * CE

You can substitute the values you are given to get:

2 * 4 = x * 8

This gives you x = 1

For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:

GH * GJ = GI * GK

Using segment addition postulate, you get:

GJ = GH + HJ = 5 + 16 = 21

GK = GI + IK = 6 + y --> y + 6

Now, substitute into the equation from power of a point:

5 * 21 = 6 * (y + 6)

105 = 6 * (y + 6)

17.5 = y + 6

y = 11.5

4 0

3 years ago

(a): How many miles does the train travel per gallon?<br> (b):What is the slope of the graph?

drek231 [11]

since the graph has direct variation as data in x axis increases y also increases.

so we need to find how many miles travelled per galloon .

we distance travelled per gallon =total distance travelled/galoons of fuel used.

$Distance travelled per gallon=200 miles/400 gallons=0.5 litres travelled per gallon$

for part b) slope=rise/run

$m=(y2-y1)/(x2-x1)$

$y2=400 y1=0 x1=0 x2=200$

$m=(400-0)/(200-0)=2$

slope of the graph is 2

5 0

3 years ago

Solve for x.

Daniel [21]

Answer:

$x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}$

Step-by-step explanation:

$-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}$

4 0

4 years ago

This is the whole picture can someone help??

Maksim231197 [3]

Step-by-step explanation:

I can't see good the picture

3 0

3 years ago

The three angle measures in a triangle are congruent. The angles are equiangular! What is the measurement of one of the angles?

gregori [183]

Answer:

60 degrees per angle.

Step-by-step explanation: a triangle has a total of 180 degrees, and the number of sides determine the number of angles it has. in this case, it's an equilateral triangle. 180/3 = 60. all triangles have 3 sides if you didn't know that ;)

4 0

3 years ago