MATHEMATICS HIGH SCHOOL

Using the property of squares find the value of the following 24 square - 23 square

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Using the follwing property

$x^(2) -y^2=(x+y)(x-y)$

in which x=24 and y=23

$24^2-23^2=(24-23)(24+23)\n=1(47)\n=47$

Answer 2

Answer:

Answer:

Step-by-step explanation:

Lets say 24 is x and 23 is y.

the equation would be x^2 - y^2

this is = to (x-y)(x+y)

substitute the numbers in

(24-23)(24+23)

which simplifies to

(1)(47)

which equals 47

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Will Mark brainliest Please check my answer >.<

If g(x) = 4 square root of x then g(45) is

Answers

Hi,

So we have g(x) = 4√(x). We're looking for g(45). Think of it like this: whatever number is in the place of x in g(x), just place that number AS x.

Therefore, we have :
g(45) = 4√(45) ⇒ (4) × (√(45)) ⇒ (4)(3√(5)) = 12√(5).

-Hope this helps!

1. (k+7)² =2892. (2s-1)² =225
3. (x-4)² =169

please help me answer these :)

Answers

$1. \ \ \ (k+7)^2 =289\n\n\Leftrightarrow\ \ \ k+7= √(289) \ \ \ or\ \ \ \ k+7=- √(289)\n\nk=17-7=10\ \ \ \ \ \ \ or\ \ \ \ k=-17-7=-24 \n\n2.\ \ \ (2s-1)^2 =225\n\n\Leftrightarrow\ \ \ 2s-1= √(225) \ \ \ or\ \ \ \ 2s-1=- √(225)\n\n2s=15+1\ \ \ \ \ \ \ or\ \ \ \ 2s=-15+1\n2s=16\ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ 2s=-14\ns=8\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ or\ \ \ \ s=-7 \n\n$

$3.\ \ \ (x-4)^2 =169\n\n\Leftrightarrow\ \ \ x-4= √(169) \ \ \ or\ \ \ \ x-4=- √(169)\n\nx=13+4=17\ \ \ \ \ \ \ or\ \ \ \ x=-13+4=-9$

$(k+7)^2 =289\n |k+7|=17\n k+7=17\vee k+7=-17\n k=10 \vee k=-24$

$(2s-1)^2 =225\n |2s-1|=15\n 2s-1=15\vee 2s-1=-15\n 2s=16 \vee 2s=-14\n s=8 \vee s=-7$

$(x-4)^2 =169\n |x-4|=13\n x-4=13 \vee x-4=-13\n x=17 \vee x=-9$

What is the value of x in the equation 7x 2y = 48 , when y = 3?

Answers

2y will be known as 2(3) since y=3 so it will be 7x times 6 so the. you subtract 6 from both sides and you get 7x=42 the. you divide 7 on both sides and the answer will be 6

What is the value of x in the equation 7x + 2y = 48

Given y=3

We plug in 3 for y and solve for x

7x + 2y = 48

7x + 2(3) = 48

7x + 6 = 48 ( subtract 6 on both sides)

7x + 6 - 6 = 48 -6

7x = 42

Divide by 7 on both sides

x = 6

the value of x = 6

We can say the value of x=6 when the value of y = 3

4x2 + 25y2
factor the following

Answers

Answer:

see explanation

Step-by-step explanation:

This polynomial is irreducible, that is cannot be factored.

4x² + 25y² ← is a prime polynomial

Answer:

1, the polynomial itself

Step-by-step explanation:

This is a prime polynomial since the terms have no common factor. The only factors it has are 1 and 4x2+25y2 (the number itself)

If h(x) = 6 – x, what is the value of (hOh) (10)

Answers

h(h(10))---> h(-4)---->10 ......hOh(10)=10

Final answer:

The value of (hOh)(10) when h(x) = 6 - x is found by firstly evaluating h(10) to get -4, and then evaluating h(-4) to get 10. So the answer to the question is 10.

Explanation:

The question is asking for the value of the function (hOh)(10) when h(x) = 6 - x. This notation represents the composition of the function h with itself evaluated at x = 10. So we first apply the function h to the input 10, and then apply h again to the resulting output. In mathematical terms, this operation is written as (h∘h)(10).

First, we find the value of h(10), by plugging x = 10 into the function h(x) = 6 - x. This gives h(10) = 6 - 10 = -4.

Next, we find the value of h(h(10)), by plugging the output of the previous step (-4) into the function as the new input. This gives h(h(10)) = h(-4) = 6 - (-4) = 10.

So, the value of (hOh)(10) is 10.

Learn more about Composition of Functions here:

brainly.com/question/33783470

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Select the property of equality used to arrive at the conclusion. If x = 3, then x 2 = 3x the multiplication property of equality

the division property of equality

the addition property of equality

the subtraction property of equality