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2 years ago

If ab = 5 and a² + b² = 25, then (a + b)² =

2 answers:

5 0

Answer:
35
Explanation:
Recall that (a+b)^2=a^2+2ab+b^2.
We can rearrange it in a way that would make it easier to solve our problem:
(a^2+b^2)+2ab
Now, we just plug in 25 for a^2+b^2, and plug in 5 for ab:
25+2*5
=25+10
=35

prisoha [69]2 years ago

3 0

Answer:

100

Step-by-step explanation:

because 5+5=10

the 10^2=10*10=100

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Given f(x) = log2x, which of the functions below represents g(x) resulting from reflecting the graph of f(x) in the x-axis and s

enot [183]

Answer:

$g(x) = log(2x+2)$

Step-by-step explanation:

<em>The question has missing options ; However, the question is still solvable</em>

Given

$f(x) = log2x$

Direction = 2 units left

Required

Shift the function by 2 units in the x axis

The general format of shifting a function along the x axis (by the left) is as follows

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Where c represents the direction;

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Since $f(x) = log2x$ , then

$g(x) = log(2x+2)$

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2 years ago

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What percent is equivalent to StartFraction 1 Over 25 EndFraction? 4% 5% 20% 25%

aleksklad [387]

Convert the fraction to a decimal:

1/25 = 0.04

Multiply by 100 to get the percent:

0.04 x 100 = 4%

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2 years ago

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There were 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were bet

lutik1710 [3]

There were 340,000 cattle placed on feed

How many of the 340,000 cattle placed on feed were between 700 and 799 pounds?

Given the fraction of total cattle for 700 - 799 pounds is 2/5

Let x be the number of cattle between 700 - 799 pounds

We make a proportion using the fraction

$\frac{2}{5} = \frac{x}{340,000}$

Cross multiply it and solve for x

340000* 2 = 5x

680000 = 5x

Divide by 5 on both sides

So x= 136,000

There were 136,000 cattle between 700 and 799 pounds

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2 years ago

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The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown. The hypotenuse has a len

suter [353]

Answer:

$5\sqrt{10}\ units$

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

The legs of a 45°-45°-90° triangle are congruent

Let

x ----> the length of one leg of the triangle

Applying the Pythagorean Theorem

$c^2=a^2+b^2$

where

c is the hypotenuse

a and b are the legs

we have

$c=10\sqrt{5}\ units$

$a=b=x\ units$

substitute

$(10\sqrt{5})^2=x^2+x^2$

$500=2x^2\\x^2=250\\x=\sqrt{250}\ units$

Simplify

$x=5\sqrt{10}\ units$

5 StartRoot 10 EndRoot

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2 years ago

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John took all his money from his savings account. He spent $110 on a radio and 4/11 of what was left on presents for his friend

svp [43]

Answer:

$1210

Step-by-step explanation:

Let x be total amount

First John spent $110 on a radio and 4/11 of what was left on presents for his friends so he was left with

$\frac{7}{11}(x-110)=\frac{7}{11}x-70$

Then he put 2/5 of his remaining money into a checking account

$\frac{3}{5}\left(\frac{7}{11}x-70\right)$

Rest he donated to charity

$420=\frac{3}{5}\left(\frac{7}{11}x-70\right)\\\Rightarrow \left(\frac{7}{11}x-70\right)=\frac{2100}{3}\\\Rightarrow \frac{7}{11}x-70=700\\\Rightarrow \frac{7}{11}x=770\\\Rightarrow x=1210$

Hence total amount of money John originally had was $1210

8 0

2 years ago

If ab = 5 and a² + b² = 25, then (a + b)² =​

If ab = 5 and a² + b² = 25, then (a + b)² =