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3 years ago

172+(-167)+(-10)+(-144) what's the sum

Mathematics

1 answer:

Pepsi [2]3 years ago

6 0

-149 would be your answer

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Determine if the sequence is geometric. If it is, find the common ratio. ( -4, 12, -36, 108, ... )

Naya [18.7K]

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3

5 0

2 years ago

At the first track meet, Lonnie threw the shot put 51 1/3 feet. At the second track meet he threw the shot put 54 1/2 feet. Writ

mars1129 [50]

Answer:

Step-by-step explanation:

At the first track meet, distance of the shot put throw $D_{1}$ = $54\frac{1}{3}$

At the second track meet distance of the throw $D_{2}=54\frac{1}{2}$ feet

Expression that represents the improvement in the throw will be

D = $D_{2}-D_{1}$

D = $54\frac{1}{2}-51\frac{1}{3}$

D = $\frac{109}{2}-\frac{154}{3}$

D = $\frac{327-308}{6}$

D = $\frac{19}{6}$

D = $3\frac{1}{6}$ feet

4 0

2 years ago

Contains the point (-1, 2) and is parallel to<br> x – 2y = -3

ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = $\frac{1}{2}$ x + $\frac{3}{2}$ ← in slope- intercept form

with m = $\frac{1}{2}$

• Parallel lines have equal slopes, thus

y = $\frac{1}{2}$ x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - $\frac{1}{2}$ + c ⇒ c = 2 + $\frac{1}{2}$ = $\frac{5}{2}$

y = $\frac{1}{2}$ x + $\frac{5}{2}$ ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

4 0

3 years ago

Find the vertex of the parabola whose equation is y=x^2+6x+2

SVETLANKA909090 [29]

(-3, 2) because you take the derivative and youll get y'=2x+6 then solve for x and that is -3 then put -3 in the original equation and you get 2

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2 years ago

Javier invests $2,500 into an account 3.5% simple interest . What will be the total amount in the account after 5 years if no ot

katovenus [111]

Answer:d

Step-by-step explanation:

4 0

2 years ago