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finlep [7]
3 years ago
15

Find the 4th term of a proportion whose 1st, 2nd, and 3rd terms are 5, 10, and 7 respectively

Mathematics
1 answer:
fomenos3 years ago
6 0
12 is the 4th term? Dont quote me on that though. I am 90% sure.
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1. Find the vertex, focus, directrix, and focal width of the parabola x^2 = 12y (1 point)
Finger [1]

Answer:

I think its B!

Step-by-step explanation:

What grade r u in??

3 0
2 years ago
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The given line segment has a midpoint at (3, 1).
Katena32 [7]

Answer:

y=\frac{1}{3}x

Step-by-step explanation:

The given line segment has a midpoint at (3, 1) and goes through (2, 4), (3, 1), and (4, -2). We can use any two of the three points to calculate the equation of the line. Let us use the points (2, 4) and (4, -2)

Therefore the line goes through (2, 4) and (4, -2). The equation of a line passing through (x_1,y_1)\ and\ (x_2,y_2) is:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}.

Therefore the line passing through (2, 4) and (4, -2) has an equation:

\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\\frac{y-4}{x-2}=\frac{-2-4}{4-2}\\\frac{y-4}{x-2}=\frac{-6}{2}\\y-4=x-2(-3)\\y-4=-3x+6\\y=-3x+10

Comparing with the general equation of line: y = mx + c, the slope (m) = -3 and the intercept on the y axis (c) = 10

Two lines are said to be perpendicular if the product of their slope is -1. If the slope of line one is m1 and the slope of line 2 = m2, then the two lines are perpendicular if:

m_1m_2=-1.

Therefore The slope (m2) of the perpendicular bisector of y = -3x + 10 is:

m_1m_2=-1\\-3m_2=-1\\m_2=\frac{1}{3}

Since it is the  perpendicular bisector of the given line segment, it passes through the midpoint (3, 1). The equation of the perpendicular bisector is:

\frac{y-y_1}{x-x_1}=m\\\frac{y-1}{x-3}=\frac{1}{3}\\ y-1= \frac{1}{3}(x-3)\\ y-1=\frac{1}{3}x-1\\y=\frac{1}{3}x

the equation, in slope-intercept form, of the perpendicular bisector of the given line segment is y=\frac{1}{3}x

7 0
3 years ago
Read 2 more answers
What is the radius of a circle with an area of 50.24 cubic inches? Use 3.14 for pi. Enter your answer in the box.
miss Akunina [59]

Answer:

r=4

Step-by-step explanation:

Area of a circle is

A = pi* r^2

We know the area and 3.14 = pi

50.24 = 3.14 * r^2

Divide each side by 3.14

50.24/3.14 =3.14 /3.14 *r^2

16 = r^2

Take the square root of each side

sqrt(16) = sqrt(r^2)

4 =r

3 0
3 years ago
An Item has a listed price of $30. If the sales tax rate is 5%, how much is the sales tax (in doll
DochEvi [55]

Answer:

sales tax is 1.5

Step-by-step explanation:

4 0
3 years ago
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HELP 60 PTS Write ln⁡〖(a^2 b^3)/cd〗 in expanded form. SHOW ALL WORK TO RECEIVE CREDIT.
Vinil7 [7]

Answer:

\frac{(a*a)(b*b*b)}{c*d}

Step-by-step explanation:

\frac{a^{2} * b^{3}}{cd}

A number to an exponent is the number times itself. A number to the "n"th power would be that number times itself "n" times.

This means that the fraction above could also be expressed as;

\frac{(a*a)(b*b*b)}{c*d}

If these parameters, "a", "b", "c", and "d" are given a value, then one can solve this equation.

6 0
2 years ago
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