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2 years ago

Which statements about the relationship between the two angles below are true? Check all that apply ZC=LT

Mathematics

1 answer:

Ne4ueva [31]2 years ago

6 0

Answer:

The last one, angle D equals to angle T

Step-by-step explanation:

Using the theorem of the triangle we know that the total number measure of the angles is 180 degrees. Therefore, solving the second triangle will give us that the angle T is equal to 60.

This is equal to angle D.

Hope this helps.

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For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?

sergey [27]

Answer:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

Step-by-step explanation:

Given

$f(x) = \frac{7}{2}x - 16$

Required

The difference quotient for h

The difference quotient is calculated as:

$\frac{f(x + h) - f(x)}{ h}$

Calculate f(x + h)

$f(x) = \frac{7}{2}x - 16$

$f(x+h) = \frac{7}{2}(x+h) - 16$

$f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16$

The numerator of $\frac{f(x + h) - f(x)}{ h}$ is:

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)$

$f(x + h) - f(x) = \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16$

Collect like terms

$f(x + h) - f(x) = \frac{7}{2}x -\frac{7}{2}x + \frac{7}{2}h- 16 + 16$

$f(x + h) - f(x) = \frac{7}{2}h$

So, we have:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h$

Rewrite as:

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}$

$\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}$

5 0

2 years ago

A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.

Rus_ich [418]

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

6 0

2 years ago

Water that flows over land is the definition of which term

Paraphin [41]

Answer:Surface

Step-by-step explanation:

6 0

2 years ago

Brody is making a necklace,bracelet and anklet out of beads. She has green, blue, purple and silver beads. How many different pi

liraira [26]

Answer:

4 x 3 = 12

Step-by-step explanation:

5 0

2 years ago

HELP PLZ I LOVE YOU GUY LET GOOOOO

sineoko [7]

Answer:

9 no answer 10

10 no answer 630

11 no answer 12.56 ft^3

12 no answer 268.1 km^3

Step-by-step explanation:

3 0

2 years ago