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3 years ago

Combine like terms: y + 6 + 2(y + 8)

Mathematics

1 answer:

aliya0001 [1]3 years ago

4 0

Answer:

3y +22

Step-by-step explanation:

y + 6 + 2(y + 8)

Distribute the 2

y+6+2y+16

Combine like terms

3y +22

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What is the length of ST?

adell [148]

Hi there!

Since ST is a tangent to the circle, we can use the relationship: tangent squared = external secant segment x entire secant segment.

WORK:
(I will be using x in place of ST)
x^2 = 7(23 + 7)
x^2 = 7(30)
x^2 = 210
x = squareroot(210) or approximately 14.5 inches

Hope this helps!! :)

4 0

3 years ago

How many atoms are in the given sample 214.1 g of Vanadium

lord [1]

Answer:

The atomic weight (or atomic mass) of Vanadium is 50.9415 which means that a "mole" of Vanadium atoms (6.02 x 10^23 atoms) will have a mass of 50.9415 grams. So, 214.1 grams of Vanadium would have

(214.1 / 50.9415) * (6.02 x 10^23) = 2.530 x 10^24 atoms

Step-by-step explanation:

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3 years ago

ANEK [815]

Answer:

Step-by-step explanation:

NEED MORE INFO...

8 0

3 years ago

Type the correct answer in each box. A circle is centered at the point (5, -4) and passes through the point (-3, 2). The equatio

Galina-37 [17]

Answer:

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

Step-by-step explanation:

Given:

Center of circle is at (5, -4).

A point on the circle is $(x_1,y_1)=(-3, 2)$

Equation of a circle with center $(h,k)$ and radius 'r' is given as:

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

Here, $(h,k)=(5,-4)$

Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:

$r^2=(h-x_1)^2+(k-y_1)^2$

Using distance formula for the points (5, -4) and (-3, 2), we get

$r^2=(5-(-3))^2+(-4-2)^2\\r^2=(5+3)^2+(-6)^2\\r^2=8^2+6^2\\r^2=64+36=100$

Therefore, the equation of the circle is:

$(x-5)^2+(y-(-4))^2=100\\(x-5)^2+(y+4)^2=100$

Now, rewriting it in the form asked in the question, we get

$(x+ \boxed{-5})^2+(y+\boxed4)^2=\boxed{100}$

4 0

3 years ago

there are 8 rows of chairs in the auditorium.three of the rows are empty. what fraction of the rows are empty?

Phantasy [73]

3/8 of the rows are empty. The three rows that are empty (3) would be in the numerator while the total amount of rows (8) would be in the denominator.

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3 years ago

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