MATHEMATICS HIGH SCHOOL

Write an expression
the quantity of 7+x, squared

Answers

Answer 1

Answer:

Answer:

( X+7 ) ^ 2

Step-by-step explanation:

=X ^ 2+ 2 x 7 x X + 7 ^ 2

= X^2 +14X +49

Answer 2

Answer:

Answer:

$\huge \boxed{(x+7)^2 }$

Step-by-step explanation:

The quantity x + 7 is squared.

$(x+7)^2$

Expand the brackets and simplify the expression.

$(x+7)(x+7)$

$x(x+7)+7(x+7)$

$x^2 +7x+7x+49$

$x^2 +14x+49$

We can leave the expression in factored form.

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Take the digits 4,5,6,7,8and9.make any three numbers each with 8digits

Answers

So we can use the following digits: 4,5,6,7,8,9

and we need three numbers with 8 digits each. Here are some examples:
1)
45 678 999 (you can also write 45,678,999 for easier reading)

2) 44 456 789 (you can also write 44,456,789 for easier reading)

3)45 678 456 (or 45,678,456)

Question 6 Multiple Choice Worth 1 points)
(01.06 LC)
Solve x - 5y = 6 for x.

Answers

Answer:

x = 6+5y

Step-by-step explanation:

x - 5y = 6

Add 5y to each side

x - 5y+5y = 6+5y

x = 6+5y

Answer:

x = 6 + 5y

Step-by-step explanation:

x - 5y = 6

Solve for x.

x - 5y = 6

Add 5y to both side

x - 5y + 5y = 6 + 5y

x=6+5y

0.0008235 in scientific notation

Answers

Remember the rule, if the number is a decimal, it should be multiplied by 10^-n.
Formula = a * 10^-n
0.0008235 in scientific notation
=> 8.235 * 10^-n
There are 3 0s from the left side of the numbers and going to the decimal point.
So, we're gonna move 3 to the left
=> 8.235 * 10^-3.
Negative because it is a decimal number.

Answer: the actual answer would be 8.235 x 10^-4

Step-by-step explanation:

bc you move it 4 places not 3

The sides of a quadrilateral are 3, 4, 5, and 6. Find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

Answers

Answer:

9 units.

Step-by-step explanation:

Let us assume that length of smaller side is x.

We have been given that the sides of a quadrilateral are 3, 4, 5, and 6. We are asked to find the length of the shortest side of a similar quadrilateral whose area is 9 times as great.

We know that sides of similar figures are proportional. When the proportion of similar sides of two similar figures is $(m)/(n)$ , then the proportion of their area is $(m^2)/(n^2)$ .

We can see that length of smaller side of 1st quadrilateral is 3 units, so we can set a proportion as:

$(x^2)/(3^2)=(9)/(1)$

$(x^2)/(9)=(9)/(1)$

$x^2=9\cdot 9$

$x^2=81$

Take positive square root as length cannot be negative:

$√(x^2)=√(81)$

$x=9$

Therefore, the length of the shortest side of the similar quadrilateral would be 9 units.

Answer:

the answer is 9

Step-by-step explanation:

Just did the lesson

Find the discriminant and the number of real roots for this equation 9x^2+12x+4=0

Answers

The discriminant is 0. As the discriminant is 0 it will have equal roots.

And the real root is -2/3.

What is a Quadratic Equation?

In algebra, a quadratic equation is any equation that can be rearranged in a standard form where x represents an unknown, and a, b, and c represent known numbers, where a ≠ zero.

Conclusion: If a = zero, then the equation is linear, no longer quadratic, as there's no ax^2 term.

9 $x^(2)$ +12x+4=0