The three angles of a triangle are represented by the expressions

1 answer:

7 0

I'm guessing that the two expressions are for separate equilateral triangles.

If so, the equations would be:

3(3x-14)=180
3(x+4)=180

to solve the first equation, divide by 3:
3x-14=60
then, add 14 to both sides:
3x=74
lastly, divide both sides by 3:
x=24.667

to solve the second equation, divide both sides by 3:
x+4=60
then, subtract 4 from both sides:
x=56

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If you vertically compress the square root parent function f(x) = ^x, by 1/2 of a unit what is the equation of the new function

Naddik [55]

Answer:

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

Step-by-step explanation:

Suppose we have a function f(x).

a*f(x), a > 1, is vertically stretching f(x) a units. Otherwise, if a < 1, we are vertically compressing f(x) by a units.

f(x - a) is shifting f(x) a units to the right.

f(x + a) is shifting f(x) a units to the left

In this question:

$f(x) = \sqrt{x}$

Vertically compressing by 1/2:

This is the same as multiplying the function by 1/2. So

$\frac{1}{2} \times \sqrt{x} = \frac{\sqrt{x}}{2}$

The equation of the new function is $g(x) = \frac{\sqrt{x}}{2}$

7 0

3 years ago

I need help plz anyone I don't understand this at all.

nasty-shy [4]

Answer:

jejejjejejr

Step-by-step explanation:

uejejjejejjsjs

5 0

2 years ago

Read 2 more answers

Suppose the mean SAT verbal score is 525 with a standard deviation of 100, while the mean SAT math score is 575 with a standard

Ipatiy [6.2K]

Answer:

The mean of the combined math and verbal scores is 1100, while the standard deviation is 141.

Step-by-step explanation:

Normal variables

Normal variables have mean $\mu$ and standard deviation $\sigma$

When we add normal variables, the combined mean is the sum of both means, and the standard deviation is the square root of the sum of both variances. The distribution is still normal.

In this question:

Verbal: $\mu_{V} = 525, \sigma_{V} = 100$ .