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3 years ago

Please this is due in 1 hr and8 minutes...

Mathematics

1 answer:

Maru [420]3 years ago

6 0

Answer:

Side XY is 6 units

Step-by-step explanation:

The order of ∆ QRS will be the same as the order of ∆ XYZ and the corresponding order between the 2 are congruent.

Angle Q is congruent to angle X because they are listed first. Angle R is congruent to angle Y because they are listed second. Angle S is congruent to angle Z because they are listed third.

We can see that side QR is 6 units. The corresponding side on triangle XYZ is side XY.

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James ran 4 laps and walked 2 laps When running his average speed was 2.5 minutes per lap When walking his average speed was 4.9

lutik1710 [3]

Answer:

19.8 minutes

Step-by-step explanation:

Total time the 4 laps was completed = 4 x 2.5 = 10 minutes

Total time the 2 laps was completed = 2 x 4.9 = 9.8 minutes

total time = 10 minutes + 9.8 minutes = 19.8 minutes

5 0

2 years ago

Suppose you just purchased a digital music player and have put 15 tracks on it. After listening to them you decide that you like

Lilit [14]

The given case is an example of permutation problem because the order is important given that you should like the first two songs. The sample space is calculated through the equation,
15P2 = 210
Then, there are 3 songs that you liked, the probability of picking 2 out of them is,
3P2 = 6
Dividing the latter by the earlier result will give us an answer of 1/35.

8 0

3 years ago

The second side of a triangle is 4cm longer than the first, The third side is 1 less than twice the first, The perimeter is 55cm

lisov135 [29]

Answer:

13 , 17 and 25 cm.

Step-by-step explanation:

Let the length of the first side be x cm.

Then the second is x+4 and the third is 2x-1 cm long.

As the perimeter = 55 cm we have the equation:

x + x + 4 + 2x - 1 = 55

4x + 3 = 55

4x = 52

x = 13 cm.

7 0

3 years ago

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Ilya [14]

Answer:

1. y=x+9

2. y=x+8

6 0

2 years ago

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G(x) = -2x^3 – 15x^2 + 36x

shusha [124]

Consider the function $G(x) = -2x^3 - 15x^2 + 36x.$ First, factor it:

$G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).$

The x-intercepts are at points $\left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).$

1. From the attached graph you can see that

function is positive for $x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);$
function is negative for $x\in \left(\dfrac{-15-\sqrt{513} }{4},0\right)\cup \left(\dfrac{-15+\sqrt{513} }{4},\infty\right).$

2. Since

$G(-x) = -2(-x)^3 - 15(-x)^2 + 36(-x)=2x^3-15x^2-36x\neq G(x)\ \text{and }\neq -G(x)$ the function is neither even nor odd.

3. The domain is $x\in (-\infty,\infty),$ the range is $y\in (-\infty,\infty).$

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3 years ago

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