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ss7ja [257]
3 years ago
13

Simplify the product using the distributive property. (4h+6)(4h-7)

Mathematics
2 answers:
Inessa05 [86]3 years ago
6 0
<span>(4h+6)(4h-7)
= 16h^2 + 24h - 28h - 42
= 16h^2 - 4h - 42

hope it helps</span>
GalinKa [24]3 years ago
4 0

Answer:

the product using the distributive property. (4h+6)(4h-7) is, 16h^2-4h-42

Step-by-step explanation:

The distributive property says that:

a \cdot (b+c) =a\cdot b+ a\cdot c

To find the product:

(4h+6)(4h-7)

then;

4h(4h-7)+6(4h-7)

Apply the distributive property we have;

16h^2-28h+24h-42

Combine like terms we have;

16h^2-4h-42

therefore, the product using the distributive property. (4h+6)(4h-7) is, 16h^2-4h-42

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3 years ago
Given: <br> PQ<br> ⊥<br> QR<br> , PR=20,<br> SR=11, QS=5<br> Find: The value of PS.
dlinn [17]

Answer:

The value of the side PS is 26 approx.

Step-by-step explanation:

In this question we have two right triangles. Triangle PQR and Triangle PQS.

Where S is some point on the line segment QR.

Given:

PR = 20

SR = 11

QS = 5

We know that QR = QS + SR

QR = 11 + 5

QR = 16

Now triangle PQR has one unknown side PQ which in its base.

Finding PQ:

Using Pythagoras theorem for the right angled triangle PQR.

PR² = PQ² + QR²

PQ = √(PR² - QR²)

PQ = √(20²+16²)

PQ = √656

PQ = 4√41

Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.

Finding PS:

Using Pythagoras theorem, we have:

PS² = PQ² + QS²

PS² = 656 + 25

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7 0
3 years ago
What is the solution of 5sin2θ=3 for 0≤θ≤2π? Please help.
grigory [225]

Answer:

C) \theta\approx\{0.3218,1.249,3.463,4.3908\}

Step-by-step explanation:

5\sin2\theta=3;\: 0\leq\theta\leq 2\pi\\\\\sin2\theta=\frac{3}{5}\\ \\2\theta\approx\{0.6436,2.498,6.926,8.7816\}\\\\\theta\approx\{0.3218,1.249,3.463,4.3908\}

7 0
2 years ago
If it takes Maddox 7.5 hours to drive 375 miles, how far could he drive in 3 hours at the same rate?
stealth61 [152]

Answer:

150 miles

Step-by-step explanation:

375 divided by 7.5 is 50

50 time 3 is 150

4 0
2 years ago
Read 2 more answers
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