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Neporo4naja [7]
3 years ago
10

which of these is the algebraic expression for "seven less than some number?" (3 points) Fraction 7 over h Fraction h over 7 h −

7 7 − h
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

Answer: h-7

Step-by-step explanation: The correct answer is h-7. H represents “some number,” and then you subtract 7 from that, which give you the expression h-7.

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The equation Y-5<br> 5(x-4) is written in point-slope form. What is the y-intercept of the equation?
nirvana33 [79]

Answer:

The y-intercept is -15.

Step-by-step explanation:

y - 5 = 5(x - 4) is our equation in point-slope form.

point slope form is = y - y1 = m( x - x1)

So, we know that the slope is 5 and one point is (4, 5)

We can use this point and the slope to find the y -intercept.

y = mx + b is slope intercept form.

Let's input the values we know to find the y-intercept.

5 = 5(4) + b

5 = 20 + b

-15 = b

The y-intercept is -15.

4 0
3 years ago
Read 2 more answers
Using the law of cosines, write an algebraic proof to show that the angles in an equilateral triangle must equal 60°. Use "∧" to
bekas [8.4K]

The algebraic proof shows that the angles in an equilateral triangle must equal 60° each

<h3>Laws of cosines </h3>

From the question, we are to use the law of cosines to write an algebraic proof that shows that the angles in an equilateral triangle must equal 60°.

Given any triangle ABC, the measures of angles A, B, and C by the law of cosines are

cos A = (b^2 + c^2 - a^2)/2bc

cos B= (a^2 + c^2 - b^2)/2ac

cos C = (a^2 + b^2 - c^2)/2ab  

Now, given that the triangle is equilateral, with each of the side lengths equal to s

That is, a = b = c = s

Then, we can write that

cos A = (s^2 + s^2 - s^2)/(2s×s)

cos A = (s^2 )/(2s^2)

cos A = 1/2

cos A = 0.5

∴ A = cos⁻¹(0.5)

A = 60°

Also

cos B = (s^2 + s^2 - s^2)/(2s×s)

cos B = (s^2 )/(2s^2)

cos B = 1/2

cos B = 0.5

∴ B = cos⁻¹(0.5)

B = 60°

and

cos C = (s^2 + s^2 - s^2)/(2s×s)

cos C = (s^2 )/(2s^2)

cos C = 1/2

cos C = 0.5

∴ C = cos⁻¹(0.5)

C = 60°

Thus,

A = 60°, B = 60° and C = 60°

Hence, the algebraic proof above shows that the angles in an equilateral triangle must equal 60° each.

Learn more on The law of cosines here: brainly.com/question/2866347

#SPJ1

3 0
2 years ago
Perform the indicated operation &amp; simplify. Express the answer as a complex number. ( 6 − 7 i ) ( − 8 + 3 i ) =___
slega [8]

( 6 − 7 i ) ( − 8 + 3 i )

First FOIL:

( 6 − 7 i ) ( − 8 + 3 i )  = -48 + 18i + 56i -21i^2

Combine like terms

                                 = -48 + 74i -21i^2

Convert i^2 = -1

                                 = -48 + 74i -21(-1)

And simplify

                                 = -48 + 74i + 21

                                 = -27 + 74i

6 0
2 years ago
In the figure, point E is on line DG .
g100num [7]
Hello there.

<span>What is the measure of ∠GEH?

Answer: </span><span>141°</span>
3 0
3 years ago
If the altitude of a star is 37 degrees, what is the angle between the star and zenith?
scoundrel [369]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
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