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2 years ago

What is the algebraic identity of (5x+3x)²

Mathematics

1 answer:

Anestetic [448]2 years ago

7 0

Step-by-step explanation:

(5x+3x)²

(8x)²

8×8=64

x×x=x²

so (8x)² =64x²

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Solve for x. Show your work. For each picture, please

finlep [7]

If two secants intersect from a point outside of the circle, then the product of the lengths of the secant and its external segment equals the product of the other secant and its external segment.

#1
5(x+5) = 6(4+6)
5x + 25 = 6 * 10
5x = 60 - 25
5x = 35
x = 7

#2
4(x+4) = 3(5+3)
4x + 16 = 3 * 8
4x = 24 - 16
4x = 8
x = 8/4
x = 2

8 0

3 years ago

In a bowl of fruit there are green grapes and black grapes in the ratio 3:4.If there are 24 green grapes how many black grapes a

xxMikexx [17]

Answer:

If there are 24 green grapes, then there would be 32 black grapes!

Step-by-step explanation:

First, identify what you know.

1) In a bowl of fruit, there are green grapes, and black grapes.

2) The ratio of green grapes to black grapes is 3:4

3) There are 24 green grapes

Simply divide 4 by 3!

4/3 = 1.3

24 x 1.3 = 32

Hope this helps! :)

5 0

2 years ago

Read 2 more answers

Multiply (−4) × (−2) × (−5).

babunello [35]

Answer: -40 or negative forty

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

(Solving Equations) Ken has $20.00. Coffee costs $4.79 per pound. Which equation will calculate the number of pounds of coffee,

aev [14]

Answer: A. 4.79(n)=20.00

Step-by-step explanation:

we need to find what amount of coffee (per pound) is equivalent to $20.00

so we take the unknown amount (n) and multiply it by $4.79

for example, say Ken wants 4 pounds, we need to know if it is equivalent to $20.00

so take 4.79 and multiply it by 4 to see if it is equal to or less than $20.00 in this case $4.79 x 4 = $19.16

hope this helps (^_^)

6 0

2 years ago

Read 2 more answers

Using Newton's Law of Cooling. You are a medical examiner called to an abandoned house in which a dead body has been discovered.

Artyom0805 [142]

A) The differential equation comes from the fact that the rate of temperature change is proportional to the difference in temperatures.
$\frac{dT}{dt} = \alpha(T -52)$

B) Find general solution by separating variables and integrating $\int\frac{dT}{T-52} = \alpha \int dt \\ ln (T-52) = \alpha t + C \\ T = C e^{\alpha t} +52$ :

C) Initial condition is t=0, T = 87
$87 = C +52 \\ C = 35$

D) Total time elapsed is 10 minutes, new temperature is 84
$84 = 35 e^{10\alpha} +52$
solve for alpha
$e^{10\alpha} =\frac{32}{35} \\ \alpha = \frac{ln(32/35)}{10} \\ \alpha = -.00896$

E) Temperature function is:
$T = 35 e^{-.00896 t} +52$
solving for t
$t = \frac{ln (\frac{T-52}{35})}{-.00896}$
Plug in T = 98.6
$t = -31.95$

This is approximately 32 minutes before he arrived or about 1:20 AM

3 0

2 years ago