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Hatshy [7]
3 years ago
13

Three consecutive odd integers are such that the square of the third integer is 9 less than the sum of the squares of the first

two. One solution is negative −3​, −1​, and 1. Find three other consecutive odd integers that also satisfy the given conditions
Mathematics
1 answer:
Trava [24]3 years ago
7 0
Hello,

Let's assume a the first odd integer
a+2 the second,
a+4 the third.

(a+4)²=a²+(a+2)²-9
==> a²+8a+16=a²+a²+4a+4-9
==> a²-4a-21=0
Δ=16+4*21=10²
==> a=(4-10)/2=-3 or a=(4+10)/2=7
sol n°1=(-3;-1;1)
sol n°2=(7;9;11)


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(4x + 3) + (-2x + 4)
WITCHER [35]

Answer:

<h2>(4x + 3) + (-2x + 4) = 2x + 7</h2>

Step-by-step explanation:

(4x + 3) + (-2x + 4)

= 4x + 3 - 2x + 4         <em>combine like terms</em>

= (4x - 2x) + (3 + 4)

= 2x + 7

4 0
3 years ago
Read 2 more answers
SIMPLIFY (4-74+7) A. 223 B. 9 27 C. 9+2/7 D. 9
sesenic [268]

Answer:

The correct option is D.

Step-by-step explanation:

The given expression is

(4-\sqrt{7})(4+\sqrt{7})

Difference of two squares property:

a^2-b^2=(a+b)(a-b)

Using the above property, the given expression can be written as

(4)^2-(\sqrt{7})^2

Applying square we get

16-7

9

Therefore the correct option is D.

6 0
3 years ago
Is 16/3 rational or irrational?
Rudik [331]
16/3 is rational simply because it is a fraction made up of whole numbers.

Irrational numbers cannot be expressed as fractions made up of whole numbers.
5 0
3 years ago
Read 2 more answers
Can someone also explain how to get the answer thank u
goblinko [34]

Answer:

m = -\frac{194}{3}

Step-by-step explanation:

I'm assuming you are trying to find m. In order to do so, you need to get m on one side.

Before doing that let's multiple -2 and -3m by \frac{4}{3}

256=-\frac{8}{3} - 4m

add -\frac{8}{3} to both sides

258\frac{2}{3}=-4m

I would get rid of the fraction so I'd multiply both sides by \frac{3}{1}

\frac{776}{3}*3 = 4m*3

776=-12m

divide both sides by -12m

m = -\frac{776}{12}

which can be simplified to

m = -\frac{194}{3}

ALL UNLESS THAT \frac{4}{3} IS A POWER

3 0
2 years ago
X2+5x−7 when x=2 can you help me i am wayy back of the class and next month grades close
spin [16.1K]

Answer:

7

Step-by-step explanation:

x2 + 5x - 7

sub x = 2 in

(2 X 2) + (5 X 2) - 7

4 + 10 - 7

= 7

4 0
3 years ago
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