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galina1969 [7]
2 years ago
15

Multiply and simplify. (4x−7)(x+5)

Mathematics
2 answers:
noname [10]2 years ago
8 0

Answer:

C) 4x^2 + 13x - 35

Step-by-step explanation:

(4x-7)(x+5)

4x × x + 4x × 5 - 7x - 7 × 5

4x^2 + 20x - 7x - 35

4x^2 + 13x - 35

Solnce55 [7]2 years ago
7 0

Answer:

4x2+13x-35

hope this helps

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A sprinter who weighs 706 N runs the first 5.5 m of a race in 1.6 s, starting from rest and accelerating uniformly. What are the
zhenek [66]

Answer:

(a) Speed = 6.875 m/s

(b) Kinetic Energy = 1.70 kJ

(c) Average power =  1.06 kW

Step-by-step explanation:

Given:

d = 5.5 m

t = 1.6 s

W = 706 N

Part (a)

Using the equation of motion with the assumption of zero initial speed:

d = \frac{1}{2} ({v-0})t

5.5= \frac{1}{2} (1.6v)

The speed of the sprinter then become:

v = 6.875 m/s

Part (b)

Convert the weight of the sprinter to mass:

m = \frac{w}{g}

m = \frac{706}{9.8}

m = 72 kg

KE (Kinetic Energy) can then be calculated as:

KE = \frac{1}{2} mv^{2}

KE = \frac{1}{2} (72)(6.875)^{2}

KE = 1701.56 J = 1.70 kJ

Part (c)

The change of the kinetic energy is equivalent to the work done by the sprinter. The average power P is the rate of the work done and can be calculated as

P = \frac{KE}{t} \\\

P = \frac{1701.56}{1.6}

P = 1063.48 W = 1.06 kW

5 0
3 years ago
What is the scale factor from triangle PRQ to triangle SUT
Alex

Answer:

Scale factor is 1.5

Step-by-step explanation:

ST = PR

10/15

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8 0
3 years ago
PQ is tangent to the circle at C. In the circle, m (The figure is not drawn to scale.)
Yuri [45]

Answer:

65°

Step-by-step explanation:

From the figure we can see a circle.

It is given that, measure of arc AD = 80°  therefore m<ACD = 80/2 = 40°

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<u>To find the measure of <DCQ</u>

We know that, an angle made by a tangent and chord is equal to the angle made by the angle made by the chord on other side of the circle.

Here m<DCQ = m<CAD

By using angle sum property,

m<CAD + m<ACD + m<D = 180

m<CAD + 40 + 75 = 180

m<CAD + 115 = 180

m<CAD = 180 - 115 = 65°

Therefore m<DCQ = m< CAD = 65°

The correct answer is third option.

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3 years ago
7 x 9 = (1 x 10)-(7 x A)
Ganezh [65]
X^9 is the answer to this problem.
4 0
3 years ago
Can someone please help me with this problem?
Galina-37 [17]

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