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Alina [70]
4 years ago
7

Hello,i need help with this question:

Mathematics
1 answer:
Keith_Richards [23]4 years ago
5 0

Answer:

the value of x is 23

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Match the phenomenal expression on the left with the simplified version on the right
nalin [4]

Given the polynomial expression:

(y + 5)²

(y - 5)(y + 5)

Let's simplify each of the given expression:

a.) (y + 5)²

The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

\text{ (a+b)}^2\text{ = }a^2\text{ + 2ab + }b^2

We get,

\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2(y+5)^2=y^2+10y+25

b.) (y - 5)(y + 5)

To be able to simplify the following expression. We will be using the formula for the difference of two squares.

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

We get,

\mleft(y-5\mright)\mleft(y+5\mright)=(y)^2-(5)^2(y-5)(y+5)=y^2-25^{}

8 0
1 year ago
What is the equation of a line that has a slope of 0 and goes through the point (4, 10)?
kompoz [17]

Answer:

y =10

Step-by-step explanation:

The equation of a line in point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given

m = 0 and (x0, y0) = (4, 10)

On substituting;

y - 10 = 0(x-4)

y - 10 = 0

y = 0+10

y = 10

Hence the required equation of the line is y =10

4 0
3 years ago
A student draws several cards from a deck of 10 unique cards.
egoroff_w [7]

Answer:

There are 210 different ways that 4 cards can be drawn.

There are 252 different ways that 5 cards can be drawn.

There are 120 different ways that 7 cards can be drawn.

Step-by-step explanation:

Use the combination formula

10C4 =210

10C5 = 252

10C7 = 120

6 0
2 years ago
If two angles are both obtuse, the two angles are equal
yan [13]
If two angles are equal, then the two angles are obtuse.

5 0
3 years ago
It takes Bobby 12 hours longer to build a robot than it takes Alex. Together, they can build the Robot in 8 hours. How long does
anyanavicka [17]

Answer:

24 hours

Step-by-step explanation:

The computation of the number of hours taken by Bobby to build the robot by himself is shown below:

Given that

Bobby could take 12 hours

Together they could build in 8 hours

So based on the above information

the number of hours taken by Bobby to build the robot by himself is

Let us assume the above line be x

So,

\frac{1}{8}-\frac{1}{12} = \frac{1}{x}  \\\\\frac{6 - 4}{48} = \frac{1}{x}  \\\\\frac{2}{48} = \frac{1}{x}  \\\\x = \frac{48}{2}

x = 24 hours

6 0
3 years ago
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