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3 years ago

Which equations have a solution of 6? Choose ALL that are correct!

Mathematics

1 answer:

Anni [7]3 years ago

5 0

Answer:

x+2=8

because the equation have solution of 6

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Write and algebraic expression for nine times of the square of a number

salantis [7]

Answer:

9• x2

Step-by-step explanation:

Well you have 9 and then you times(•) then X is the number we don’t know. Then x would be squared(like the image below).

3 0

4 years ago

Find the explicit formula for a 1 =-4,a n =a n-1 +9,n>=2

Mrrafil [7]

Given:

$a_1=-4$ and $a_n=a_{n-1}+9$ where $n\geq 2$ .

To find:

The explicit formula for the given recursive formula.

Solution:

We know that recursive formula of an AP is:

$a_n=a_{n-1}+d$

Where, d is the common difference.

We have,

$a_n=a_{n-1}+9$

Here, d=9.

The first term of the AP is $a_1=-4$ .

The explicit formula for an AP is:

$a_n=a_1+(n-1)d$

Substituting $a_1=-4$ and $d=9$ , we get

$a_n=-4+(n-1)9$

$a_n=-4+9n-9$

$a_n=-13+9n$

Therefore, the required explicit formula for the given sequence is $a_n=-13+9n$ .

6 0

3 years ago

Solve the system of equations. 5x-4y=-10 y=2x-5 x=_____ y=_____

dimaraw [331]

Answer:

Step-by-step explanation:

5x - 4(2x - 5) = -10

5x - 8x + 20 = -10

-3x = -30

x = 10

y = 2(10) - 5 = 20 - 5 = 15

(10, 15)

3 0

2 years ago

Solve using substitution: 2x - 3y = -1 y = x - 1

denis-greek [22]

Answer:

x=4 y=3

Step-by-step explanation:

rewrite the equations- y=x-1 2x-3y=-1

solve y=x-1 for y

y=x-1

sub for x-1 for y in 2x-3y=-1

2x-3y=-1

2x-3(x-1)=-1

-x+3=-1

-x+3+-3=-1+-3

-x=-4

divide both sides by -4

x=4

sub 4 for x in y=x-1

y=x-1

y=4-1

y=3

WE ARE VENOM

8 0

3 years ago

Please help and explain questions 20-22

zmey [24]

Hello!

The formula for circumference is $2\pi r$ and the formula for area of a circle is $\pi r^{2}$ . Armed with these formulas, we can begin to find the circumferences and areas of the circles.

20.
C = $2 \pi r$
C = $2 \pi (6.5)$
C = $13 \pi$
C = 13(3.14)
C = 40.8

A = $\pi r^{2}$
A = $\pi (6.5)^{2}$
A = $\pi (42.25)$
A = 132.7

The circumference of the circle is 40.8 in and the area of the circle is 132.7 in².

21.
[Since we are given the diameter for this problem, to find the circumference, we no longer need to multiply the radius by 2 as in $2 \pi r$ because the diameter is the radius × 2. For $\pi r^{2}$ we do need to divide the diameter by 2.]

C = $15.7 \pi$
C = 49.3

A = $\pi r^{2}$
A = $\pi (7.85)^{2}$
A = $61.62 \pi$
A = 193.5

The circumference of the circle is 49.3 in and the area of the circle is 193.5 in².

And that is all there is to it. I hope this helps you! (:

6 0

3 years ago