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3 years ago

Use the graph to determine which values can be used to complete the equation x^2/a^2-y^2/b^2=1. a= b=

Mathematics

1 answer:

JulsSmile [24]3 years ago

8 0

Answer: a: 5

b: 12

Step-by-step explanation:

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What are the solutions of ×^2=8-5×?

yaroslaw [1]

Answer:

x=8 & x=3

Step-by-step explanation:

We want to get the (x)s all on one side.

add 5x to each side

${x}^{2} + 5x = 8$

Since x^2 is x•x and 5x is 5•x then we can change the formula to

x(x+5)=8

then seperate that

x=8

x+5=8

subtract 5 from each side

x=3.

The solutions are 8 and 3.

7 0

3 years ago

The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sket

EleoNora [17]

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

$a =255\ yd\\c = 305\ yd\\\angle B =17^\circ$

To find:

Side $b = ?$

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

Putting all the values:

$cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd$

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

8 0

2 years ago

1.12 divided by 8.2 equals

AleksandrR [38]

It equals 0.1365853659
you may round as needed

7 0

3 years ago

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Rewrite the expressions by using the distributive property and collecting like terms. 1/6(12s + 6)

Citrus2011 [14]

For the distributive property, multiply the number outside the parentheses by each term inside the parentheses.

1/6 x 12s = 2s

1/6 x 6 = 1

Now combine them to get the final answer: 2s + 1

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2 years ago

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Is 11 a rational number

Rainbow [258]

Answer:

It is a fraction that represents one integer (1) being divided by a second integer (11). The fraction 1/11 is a rational number. It is a fraction that represents one integer (1) being divided by a second integer (11).

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3 years ago

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