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3 years ago

For what value of m is the equation true? x^{2} +10x+11= m+(x=5)^2-25

1 answer:

5 0

We are given the equation:

x^2 + 10x + 11 = m + (x-5)^2 - 25

To determine the value of m, assign a value of x and solve for m

if x = 1, the equation becomes

1^2 + 10(1) + 11 = m + (1 -5)^2 - 25

solve for m

m = 31

When m = 31, the equation is true. <span />

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3 years ago

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3 years ago

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm?

Advocard [28]

Answer:

Volume increasing rate = $62831.85 mm^3/s$

Explanation:

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Radius of sphere = 50 mm

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Rate of change of volume = $\frac{dV}{dt}$

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3 years ago

Priya tried to solve an equation step by step. \qquad\begin{aligned} \dfrac f{0.25}&=16\\\\ \\ \dfrac{f}{0.25} \cdot0.25&amp

Zarrin [17]

Answer:

f=4

Step-by-step explanation:

Priya Tried to solve the equation below step-by-step:

$\qquad\begin{aligned} \dfrac f{0.25}&=16\\ \dfrac{f}{0.25} \cdot0.25&=16\cdot0.25&\green{\text{Step } 1}\\ f&=4&\blue{\text{Step } 2}\\\end{aligned}$

The steps are correct and indeed f=4.

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3 years ago

Read 2 more answers

Matthew has 3 1/4 gallons of lemonade. He sells 4/8 of the lemonade. How many gallons of lemonade does Matthew have left?

Yanka [14]

Answer:

He would have 11/4 gallons of lemonade or 2 3/4

Step-by-step explanation:

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3 years ago