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2 years ago

In APQR, PQ- QR. If map

Mathematics

1 answer:

Hitman42 [59]2 years ago

7 0

Answer:

3x-120 = x - 30

2x -120 = -30

2x= 90

x= 45

3(45) -120 (plug x into angle p to check your answer)

135-120

15 degrees

45-30 (plug x into angle r to make sure it's the same thing as angle p)

15 degrees (they're equal so now figure out angle Q and answer the question)

180 - (15 +15)

180- 30

150 is the measure of angle Q

so, the triangle is an obtuse isosceles triangle

Step-by-step explanation:

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Solve:<br> -8r - (-2r-3) = 13<br><br> (if you can give a step by step, that would be great!)

coldgirl [10]

Answer:

$r = - \frac{5}{3} = 1 \frac{2}{3} = - 1.6$

Step-by-step explanation:

$- 8r - ( - 2r - 3) = 13$

$- 8r + 2r + 3 = 13$

$- 6r + 3 = 13$

$- 6r = 13 - 3$

$- 6r = 10$

$\boxed{\green{r = - \frac{5}{3} = 1 \frac{2}{3} = - 1.6}}$

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2 years ago

Hi everyone i got a 16/20 on a final what percent is that im jw

Allushta [10]

Answer:

80%

Step-by-step explanation:

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2 years ago

Joshua rolls two dice to form a two-digit

dusya [7]

Answer:

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2 years ago

Find the value of x. Then find the measure of each labeled angle

34kurt

Answer:

x = 109

Top Right Angle = 109

Bottom Right Angle = 71

Step-by-step explanation:

Notice the two right angles on the left and recognize that the figure is a a quadrilateral (4 sides). That means it adds up to a total of 360 degrees.

(x-38) + x + 90 + 90 = 360

2x + 142 = 360

2x = 218

x = 109

(x - 38) = (109 - 38)

71 degrees for bottom right angle

109 for top right angle

8 0

2 years ago

I dont understand how to do this precalc question

Alexeev081 [22]

Answer:

x-intercept: (-0.1, 0)
Horizontal Asymptote: y = -3
Exponential <u>growth</u>

(First answer option)

Step-by-step explanation:

<u>General form of an exponential function</u>

$y=ab^x+c$

where:

a is the initial value (y-intercept).
b is the base (growth/decay factor) in decimal form:
If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.
y=c is the horizontal asymptote.
x is the independent variable.
y is the dependent variable.

Given <u>exponential function</u>:

$y=4(10)^x-3$

<h3><u>x-intercept</u></h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:

$\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}$

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

<h3><u>Asymptote</u></h3>

An <u>asymptote</u> is a line that the curve gets infinitely close to, but never touches.

The <u>parent function</u> of an <u>exponential function</u> is:

$f(x)=b^x$

As<em> </em>x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form $f(x) = ab^x+c$ always has a horizontal asymptote at y = c.

Therefore, the horizontal asymptote of the given function is y = -3.

<h3><u>Exponential Growth and Decay</u></h3>

A graph representing exponential growth will have a curve that shows an <u>increase</u> in y as x increases.

A graph representing exponential decay will have a curve that shows a <u>decrease</u> in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).

If b > 1 then it is an increasing function.
If 0 < b < 1 then it is a decreasing function.

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

brainly.com/question/27466089

brainly.com/question/27955470

6 0

1 year ago