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3 years ago

Factor completely: 10x2 + 2x − 8

2 answers:

7 0

The answer is 2(5x - 4)(x + 1)

10x² + 2x - 8 = 2*5x² + 2*x - 2*4 =
= 2(5x² + x - 4) =
= 2(5x² + 5x - 4x - 4) =
= 2(5x *x + 5x*1) - (4*x + 4*1) =
= 2(5x(x + 1) - 4(x + 1)) =
= 2(5x - 4)(x + 1)

melomori [17]3 years ago

3 0

Answer:

The answer is 2(5x - 4)(x + 1)

Step-by-step explanation:

In this case, use the shortcut, since (a - b + c) = 0. One factor is (x + 1) and the other is (x + c/a = - 8/10).

y = (x + 1)(10x - 8) = 2(x + 1)(5x - 4)

You may also use the new AC Method.

Converted

−

(

−

)

(

−

)

Factor pairs of (-80) -> ...(-4, 20)(-8, 10). This sum is 2 = b. Then p' = -8 and q' = 10.

Then,

−

and

y = 10(x - 8/10)(x + 1) = (10x - 8)(x + 1)= 2(5x - 4)(x + 1)

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Which percentage is equivalent to 14/25

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46% is equal to 14/25

14/25 is equal to 46/100 (multiply 14/25 times 4/4) and that is 46%

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2 years ago

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Which does NOT represent an obtuse angle

Darya [45]

Hey there!

An obtuse angle is defined as an angle that is wider than 90° but less than 180°. For example, a 68° would not be considered obtuse, but a 107° would. As long as the degree is between 90 and 180, the angle is obtuse. Any other angle (either between 0 and 90 OR 180 and 360) is not obtuse.

You can use this information to answer the question based on the angles you have been given.

Hope this helped you out! :-)

5 0

3 years ago

| 9. The distance between Town A and Town B was 108 km. A car and a van left Town A at 12 00 for Town B. On reaching Town B, the

Westkost [7]

Answer:

a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.

b) Average speed of car is 84 km/h

Step-by-step explanation:

A -----------------------z------------B

Left Speed(km/h) Time

Car: 12PM X

Van: 12PM 60

Car/Van

DistanceCar AB + z

DistanceVan Az

Ratio: (AB+z)/Az = 7/5

Time until both meet = T (in hours)

Distance Car: xT

Distance Van: 60T

====

xT = AB + z

60T = Az

---

(xT/60T)= (7/5)

x = 60(7/5)

x = 84 km/h

=====

Time for car to reach B is: time (hr) = 108 km/(84 km/h)

time = 1.286 hours

Distance for at 1.289 hours is: distance (km) = (60 km/h)*(1.286 h)

distance = 77.14 km

At 1.286 hours, the car reverses direction. The van is (108 km - 77.14 km) or 30.86 km away.

Add the distances travelled by both vehicles after the car reverses direction at 1.286 hours. The sum will be 30.86 km when they meet, at time of T.

Car Distance + Van Distance = 30.86 km

T(84 km/h) + t(60 km)

They meet when they are 0 km apart, which can be modeled with the following equation:

Van travel Distance - Car Travel Distance = 0 starting at 1.286 hr.

Let t be the time after 1.286 hours that both vehicles meet/collide.

t*(60 km/h) + t(84 km/h) = 30.86 km

t(60+84) = 30.86 km

t(144 km/h) = 30.86 km

t = 0.2143 hr

Total time until the car and van meet is 1.286 hr + 0.2143 hr for a total of 1.50 hours.

=================

a) Time until both vehicles meet is 1.5 hours after starting at noon. That makes it 1:30PM.

b) Average speed of car is 84 km/h

==============

CHECK

Is the ratio of the distance travelled by the car and the van until they meet in the ratio of 7/5?

Car distance is (1.5 hr)(84 km/h) = 126 km

Van distance is (1.5 hr)(60 km/h) = 90.0 km

Ratio is 126/90 or 1.4

Ratio of 7/5 is 1.4

YES

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2 years ago

1. Explain how you find the area of a circle using the formula.

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Answer:

1.the area of a circle is Pie/3.14 times radius of the circle squared

2.and if your given the diamter of the circle cut the number in half and it will give you the radious.

Step-by-step explanation:

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3 years ago

The table shows the number of cups of water required when cooking different amounts of rice. Amount of Rice (cups) Amount of Wat

Ugo [173]

Amount of Rice (cups) Amount of Water (cups)
2 5
3 7.5
5 12.5
8 20

Let's find the ratio of rice and water:

5 / 2 = 2.5 => 2 * 5 = 5

7.5 / 3 = 2.5 => 3 * 2.5 = 7

12.5 / 5 = 2.5 => 5 * 2.5 = 12.5

20 / 8 = 2.5 => 8 * 2.5 = 20

So, as the ratio of water ot rice is constant, and the first variable is the amount of rice, you can calculate the amount of water given the amount of rice.

So, the amount of rice is independent value and the amount of water is dependent (it depends on the amount of rice).

The amount of rice is the dependent value. FALSE
The amount of water is the dependent value.TRUE
The amount of rice is the independent value. TRUE
The amount of water is the independent value.FALSE

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3 years ago

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