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3 years ago

Which equation best represents the relationship?

Mathematics

1 answer:

Agata [3.3K]3 years ago

4 0

Answer: (C) $C=\frac{5}{9}(F-32)$

Explanation:

The difference between the degrees in Fahrenheit and the constant 32 corresponds to the expression in brackets (F-32). The fraction 5/9 of that difference completes the expression: (5/9)(F-32) and gives the degrees Celsius.

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Write in mathematical expression.

bulgar [2K]

Answer:

Step-by-step explanation:

1) "number multiplied by -6" = number times -6 (x is the number)

-6 * x = -6x

2) "subtracted from the sum of (8 and two times the number)"

sum is addition

two times x(the number) plus 8

2x + 8

3) -6x is being subtracted from 2x + 8

2x + 8 - (-6x) =

2x + 8 + 6x =

8x + 8

B. 8x + 8

4 0

3 years ago

The sampling distribution for the ANOVA test is

jolli1 [7]

Answer:

The F distribution

7 0

3 years ago

What is the answer

Mrac [35]

Answer:

The coordinates of H′ are (-2,0).

Step-by-step explanation:

It is given that square EFGH stretches vertically by a factor of 2.5 with respect to the x-axis to create rectangle E′F′G′H′.

If a figure stretches vertically by a factor of 2.5 with respect to the x-axis, then the x-coordinates remains same and the points which lie on the axis are also remains the same after stretch.

It is given that the coordinates of H are (-2,0). This point lie on the x-axis, therefore it will remains the same after stretch.

Therefore the coordinates of H′ are (-2,0).

3 0

3 years ago

Read 2 more answers

Help on math equations!! 13 points!!!!!!

masha68 [24]

Answer:

1. $\frac{-73}{350}$

2. 0.12

3. 13 $\frac{23}{45}$

4. -9/5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The hypotenuse of a right triangle is 6 cm and one side is 2 cm longer than the other side. Find the length of each side to one

MA_775_DIABLO [31]

Answer:

The two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.

Step-by-step explanation:

Let x be one leg of the right triangle.

Since the other leg is two centimeters longer, it can be represented by the expression:

$x + 2 \text{ cm}$

According to the Pythagorean Theorem, for a right triangle:

$a^2 + b^2 = c^2$

Where c is the hypotenuse and a and b are the two legs.

The hypotenuse is given to be 6 cm and the two legs are x and (x + 2). Hence:

$(x)^2 + (x+2)^2 = 6^2$

Solve for x. Simplify:

$x^2 + (x^2 + 4x + 4) = 36$

Simplify:

$2x^2 + 4x + 4 = 36$

Subtract:

$2x^2 + 4x - 32 =0$

Divide:

$x^2 + 2x - 16 = 0$

The equation is not factorable, so we can consider using the quadratic formula:

$\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}$

In this case, a = 1, b = 2, and c = -16. Substitute:

$\displaystyle x= \frac{-(2)\pm\sqrt{(2)^2-4(1)(-16)}}{2(1)}$

And evaluate:

$\displaystyle \begin{aligned}x &= \frac{-2\pm\sqrt{68}}{2} \\ \\ &= \frac{-2\pm\sqrt{4\cdot 17}}{2} \\ \\ &= \frac{-2\pm2\sqrt{17}}{2} \\ \\ &= -1 \pm \sqrt{17} \end{aligned}$

Hence, our two solutions are:

$\displaystyle x = -1 + \sqrt{17} \approx 3.1\text{ or } x = -1 - \sqrt{17} \approx -5.1$

Lengths cannot be negative, so we can ignore the second solution.

Hence, the value of x or the first side length is about 3.1 centimeters.

Since the other side length is two centimeters longer, the other side is about 5.1 centimeters.

In conclusion, the two legs of the right triangle are approximately 3.1 cm and 5.1 cm and the hypotenuse is 6 cm.

4 0

3 years ago