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3 years ago

Help quick please, look at the photo I attached

Mathematics

1 answer:

Tema [17]3 years ago

3 0

Answer:

A ≈ 5.6

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = $\frac{1}{2}$ × PQ × PR × sin P

= 0.5 × 5.2 × 2.8 × sin50°

≈ 5.6 ( to 1 dec. place )

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What is the range of the equation

a_sh-v [17]

The range of the equation is $y>2$

Explanation:

The given equation is $y=2(4)^{x+3}+2$

We need to determine the range of the equation.

<u>Range:</u>

The range of the function is the set of all dependent y - values for which the function is well defined.

Let us simplify the equation.

Thus, we have;

$y=2 \cdot 4^{x+3}+2$

This can be written as $y=2^{1+2(x+3)}+2$

Now, we shall determine the range.

Let us interchange the variables x and y.

Thus, we have;

$x=2^{1+2(y+3)}+2$

Solving for y, we get;

$x-2=2^{1+2(y+3)}$

Applying the log rule, if f(x) = g(x) then $\ln (f(x))=\ln (g(x))$ , then, we get;

$\ln \left(2^{1+2(y+3)}\right)=\ln (x-2)$

Simplifying, we get;

$(1+2(y+3)) \ln (2)=\ln (x-2)$

Dividing both sides by $\ln (2)$ , we have;

$2 y+7=\frac{\ln (x-2)}{\ln (2)}$

Subtracting 7 from both sides of the equation, we have;

$2 y=\frac{\ln (x-2)}{\ln (2)}-7$

Dividing both sides by 2, we get;

$y=\frac{\ln (x-2)-7 \ln (2)}{2 \ln (2)}$

Let us find the positive values for logs.

Thus, we have,;

$x-2>0$

$x>2$

The function domain is $x>2$

By combining the intervals, the range becomes $y>2$

Hence, the range of the equation is $y>2$

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3 years ago

Is the data point, P, an outlier, and influential point, both, or neither? The regression equation for a set of paired data is

postnew [5]

Answer:

Neither

Step-by-step explanation:

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2 years ago

Use the box plot to explain what you know about the spread of this data set.

k0ka [10]

Answer:

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Step-by-step explanation:

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3 years ago

Orlando is measuring the angles of a triangle. He measures the first two angles and gets 30° and 70°. What should be the measure

Andrei [34K]

The answer will be B because all three angles of the triangles add up to180 degrees, and we already know the total of two other angles are 100 degrees, which made the unknown angles have 80 degrees. Hope it help!

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3 years ago

Read 2 more answers

Use the given information to write a linear equation in slope- intercept form...

leva [86]

Answer:

y= -2x + (-6)

y= -2x - 6

both work !

Step-by-step explanation:

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2 years ago