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2 years ago

1) -10m(-3 +3m) – 5(8m – 6)

Mathematics

1 answer:

Juliette [100K]2 years ago

7 0

- 30m^2 - 10m + 30

distribute your negative 10, you will first get 30m, then - 30m^2.

next distribute the negative 5, you will get - 40m, then 30.

combine like terms, and make sure its in standard form, - 30m^2 - 10m + 30

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Solve for X and Y: Y=2+7x and -2x+6y=-28

Furkat [3]

Answer:

x=-1 and y=-5

Step-by-step explanation:

ሰላም!

Given expressions let them given as two equations

y=2+7x....... equation (1)
-2x+6y=-28..... equation (2)

Thus, substitute y=2+7x into equation (2)

$- 2x + 6(2 + 7x) = - 28 \\$

simplify it

$- 2x + 12 + 42x = - 28 \\ 40x + 12 = - 28$

subtract 12 from both sides

$40x + 12 - 12 = - 28 - 12 \\ 40x = - 40$

divide both sides by 40

$\frac{40x}{40} = \frac{ - 40}{40} \\ x = - 1$

Therefore, as we get the value of x=-1 substitute it to equation (1) and solve for variable y

$y = 2 + 7x \\ y = 2 + 7( -1 ) \\ y = 2 - 7 \\ y = - 5$

To be more sure make a cross check on both of the two expressions

Thus,

1) y=2+7x .... substitute y=-5 and x=-1 and check if it is equal

-5=2+7(-1)

-5=2-5

-5=-5

2)-2x+6y=-28... substitute and check

-2(-1)+6(-5)=-28

2-30=-28... (-a)(-b)=ab

-28=-28

Hope it helps!

6 0

9 months ago

Asap! find the length of the arc

Fantom [35]

Answer:

A. $\frac{21}{4} \pi\ \space\ in$

Step-by-step explanation:

The formula for arc length is:

arc length = rθ

where:

r is the radius = 7 in

θ is the central angle in radians = 135 × $\frac{ \space\ \pi\ }{180}$ = 3/4 π

Substituting these values into the formula:
arc length = 7 in × 3/4 π

= $\frac{21}{4} \pi\ \space\ in$

6 0

1 year ago

An urn contain 2 white marbles, 3 green marbles, and 5 red marbles. A marble is drawn and then replaced. Then a second marble is

11111nata11111 [884]

Answer:

1/5

Step-by-step explanation:

To find this you would need to multiply the probability of pulling a white marble to the probability of pulling out a green marble.

1)First you would need the probability of pulling out a white marble. There are 10 marbles in total and out of those 2 are white. So the probability of pulling out a white marble would be 2/10. If you simplify that you would get 1/5 for the probability of pulling out a white marble.

2)Next, you would find the probability of pulling out a green marble. Using the same process that we used to find the probability of pulling out a white marble, we would find the answer to be 3/10. All that we did here was green marbles/total marbles. By filling that in we got 3/10 for the probability of pulling out a green marble.

3)Now all that is left is doing probability of pulling a white marble × probability of pulling out a green marble. This would be 1/5 × 3/10. After solving the answer would be 3/15 which we would simplify down to 1/5 as our final answer.

5 0

2 years ago

write an equation of the line passing through the point (6,3) that is perpendicular to the line 5x - 6y = 10

Jlenok [28]

Answer:

5x-6y-12=0

Step-by-step explanation:

...make y the subject y=-6/5x +2

...use the coefficient of x as the gradient,m=-6/5

...for a perpendicular line,find the negative reciprocal of the gradient,5/6

...sub into the eqn y= -1/m(x-a)+b

3 0

2 years ago

An airplane traveled 700 kilometers in two hours during a trip. What was the average speed of the plane during the trip?

Igoryamba

9514 1404 393

Answer:

350 km/h

Step-by-step explanation:

Speed = distance/time

speed = (700 km)/(2 h) = 350 km/h

8 0

2 years ago