7+x+7x equivalent expressions

Mathematics

1 answer:

bearhunter [10]3 years ago

8 0

8x+7, 7x+x+7, 7+x(1+7)

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PLEASE HELP

irina [24]

Take the longer leg length as $x$

$(x-8)^2+x^2=(x+8)^2 \\ \\ x^2-16x+64+x^2=x^2+16x+64 \\ \\ x^2-32x=0$

Use the formular
$x={ \frac{-b+ \sqrt{ b^2-4ac}}{2a} } \\ \\ x={ \frac{32+32}{2} } \\ \\ x=32$

∴ shorter leg = 32 - 8 = 24ft
longer leg = 32ft
hypotenuse = 32 + 8 = 40ft

8 0

3 years ago

Help me please thank u

borishaifa [10]

Answer:

4+3n

Step-by-step explanation:

We get the formula 4+3n because the pattern is +3 each term starting with the first term as 7. Since the first term is 7, we get 4+3n.

3 0

3 years ago

tank a contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. tank b contains 100 gallons of water bu

julia-pushkina [17]

A=35+5t, b=100-8t, a=b when:

35+5t=100-8t subtract 35 from both sides

5t=65-8t add 8t to both sides

13t=65 divide both sides by 13

t=5 minutes

a=35+5(5)=60 gallons

So the tanks have an equal volume of 60 gallons after five minutes.

4 0

3 years ago

Fill in the blanks:

ser-zykov [4K]

Answer:

$8943=8\times 1000+9\times 100+4\times 10+3\times 1=8\times 10^3+9\times 10^2+4\times 10^1+3\times 1$