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LiRa [457]
3 years ago
11

-2.5y + 8y - 10.5y 5.5 0 -21 -5

Mathematics
1 answer:
zubka84 [21]3 years ago
6 0
The answer of the equstion is -5
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The measure of an inscribed angle in a circle is ______ the measure of the intercepted arc.
xxMikexx [17]

C. Half

<u>Explanation:</u>

An inscribed angle is an angle with its vertex on the circle and whose sides are chords. The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc.

Inscribed angles that intercept the same arc are congruent.

An image is inserted for your reference.

7 0
3 years ago
Rationalize the denominator and simplify. StartFraction 5 minus StartRoot 3 EndRoot Over 4 plus 2 StartRoot 3 EndRoot EndFractio
nasty-shy [4]

Answer:

\frac{13-7\sqrt{3}}{2}

Step-by-step explanation:

We need to rationalize the denominator of = \frac{5-\sqrt{3}}{4+2\sqrt{3}}. For rationalizing we multiply the equation by \frac{4-2\sqrt{3}}{4-2\sqrt{3}}

So, solving

= \frac{5-\sqrt{3}}{4+2\sqrt{3}}*\frac{4-2\sqrt{3}}{4-2\sqrt{3}} \\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{4+2\sqrt{3}*4-2\sqrt{3}}\\=\frac{(5-\sqrt{3})(4-2\sqrt{3})}{(4)^2-(2\sqrt{3})^2}\\= \frac{5(4-2\sqrt{3})-\sqrt{3}(4-2\sqrt{3})}{16-(4*3)}\\=\frac{20-10\sqrt{3}-4\sqrt{3}+2*3}{16-12}\\=\frac{20+6-14\sqrt{3}}{4}\\=\frac{26-14\sqrt{3}}{4}\\= \frac{2(13-7\sqrt{3})}{4}\\=\frac{13-7\sqrt{3}}{2}

5 0
3 years ago
What is the rate of change for the equation f(x)=-4x+3?
Alenkinab [10]
-4 is the rate of change otherwise known as the slope
8 0
3 years ago
Three ounces of broiled ground beef contains 245 calories. Is this the number of calories directly or inversely proportional to
aalyn [17]

Answer:

The number of calories are directly proportional to the number of ounces.

Step-by-step explanation:

We can relate these values as:

Let x be the calories in 4 ounces of broiled hamburger.

\frac{3}{245} =\frac{4}{x}

=> 3x=4\times245

=> 3x=980

Dividing by 3 on both sides;

x = 327 approx

We can see that 4 ounces contain 327 calories.

Per ounce will have 327/4=81.75 calories.

As the quantity of hamburger increases, the calories count also increases.

8 0
3 years ago
The points (-2,-10) and (-1, v) fall on a line with a slope of 8. What is the value of v?
Nutka1998 [239]
I think the answer is -2

Following the rule of “rise over run”, the fraction form of the gradient it 8 over 1 (8/1)
This means you move up 8 units, and move across 1 unit.
The final coordinate is (-1, -2)
V = -2

Hope this helps!
7 0
3 years ago
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