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3 years ago

A.the solution to the system is (-2,0)

Mathematics

1 answer:

Lunna [17]3 years ago

6 0

The answer I’m for sure it’s D

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Give the equation of the circle whose center is (5 -3) and goes through (2 5)

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

The standard form for the equation of a circle is

$(x-h)^2+(y-k)^2=r^2$

From the info given, we have the center, (h, k) as (5, -3) and the x and y coordinates of (2, 5). We will use these to solve for r-squared, then plug back in what we need to write the equation.

$(2-5)^2+(5-(-3))^2=r^2$ which simplifies to

$(-3)^2+(8)^2=r^2$ and

$9+64=r^2$ so

$r^2=73$

Filling in the equation:

$(x-5)^2+(y+3)^2=73$

7 0

3 years ago

Question 2 (6 points)

alexdok [17]

Answer:

here

Step-by-step explanation:

it is basically a sector , use the area formula i.e.

[(theta)/360]*πr^2

4 0

3 years ago

What is the measure of? angle PQR [Not drawn to scale) -51 -55 -74 -78

soldi70 [24.7K]

Given:

The exterior angle P is 74°

The measure of ∠PRQ is 51°

We need to determine the measure of ∠PQR

Measure of ∠QPR:

From the figure, it is obvious that P is the intersection of the two lines.

The angle 74° and ∠QPR are vertically opposite angles.

Since, vertically opposite angles are always equal, then the measure of ∠QPR is 74°

Thus, the measure of ∠QPR is 74°

Measure of ∠PQR:

The measure of ∠PQR can be determined using the triangle sum property.

Thus, we have;

$\angle PQR+\angle QPR+\angle PRQ=180^{\circ}$

Substituting the values, we get;

$\angle PQR+74^{\circ}+51^{\circ}=180^{\circ}$

$\angle PQR+125^{\circ}=180^{\circ}$

$\angle PQR=55^{\circ}$

Thus, the measure of ∠PQR is 55°

Hence, Option B is the correct answer.

4 0

3 years ago

Read 2 more answers

Nadine has 3 yard of ribbon to wrap birthday party favors if each favor use 1/5 yards of ribbon how many favors can nadine wrap

nata0808 [166]

I think the answer is 15 Hope this helps

4 0

4 years ago

A radioactive element has a half-life of 5,750 years. Archeologists determined a relic had lost 25.5% of this element at the tim

Dmitry [639]

Answer:

2441.95 years

Step-by-step explanation:

We can model this exponencial function as:

P = Po * (1+r)^(t/n)

Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the period of half-life.

In this case, we have that P/Po = 100% - 25.5% = 74.5% = 0.745, r = -0.5 and n = 5750, so we have that:

0.745 = (1 - 0.5)^(t/5750)

Step 1: log in both sides:

log(0.745) = (t/5750) * log(0.5)

Step 2: isolate t

t = 5750*log(0.745)/log(0.5) = 2441.95 years

3 0

3 years ago