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ehidna [41]
3 years ago
9

An equation has solutions of m = _5 and m = 9. Which could be the equation?

Mathematics
2 answers:
Anni [7]3 years ago
5 0
I think the correct answer from the choices listed above is the first option. The equation (m + 5)(m - 9) = 0 has <span>solutions of m = -5 and m = 9. Hope this answers the question. Have a nice day. Feel free to ask more questions. Thank you.</span>
zhannawk [14.2K]3 years ago
5 0

Answer:

A. (m+5)(m-9)=0

Step-by-step explanation:

We have been given that an equation has solutions of m=-5 and m=9. We are asked to the equation, which represents these solutions.

Let us check our given choices:

A. (m+5)(m-9)=0

Using zero product property, we will get:

m+5=0\text{ (or) }m-9=0

m+5-5=0-5\text{ (or) }m-9+9=0+9

m=-5\text{ (or) }m=9

Therefore, option A is the correct choice.

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In the net of a rectangular prism, each square of the grid is 1 square meter. What is the surface area of the prism?
lisabon 2012 [21]

Answer: 172 square meter square

Step-by-step explanation:

Area of Rectangular prism is given as :

A = 2 (wl + hl + hw)

Where :

w = width

h = height

l = length

Calculating the area of rectangular prism given , the shape given is divided into six segments , each segment is a triangle , all we need to do is to find the area of each segment and add.

Area of the first segment = 7 x 8 = 56 ( there are 7 boxes horizontally and 8 boxes vertically)

second segment = 2 x 8 = 16

third segment = 7 x 8 = 56

fourth = 2 x 8 = 16

fifth = 2 x 7 = 14

sixth segment = 2 x 7 = 14

Therefore , area of the rectangular prism will be

A = 56 + 16 +56 + 16 + 14 + 14

A = 172

6 0
3 years ago
There are 15 red, 10 green and 9 white balls in the dark room. Jack wants to take a minimal number of balls such that at least 8
agasfer [191]
<h3>Answer: 24</h3>

=================================================

Explanation:

If Jack were to get really lucky and draw either

* 8 red balls in a row

* 8 green balls in a row, or,

* 8 white balls in a  row

then the answer would be 8. However, this event of drawing the same color ball 8 times in a row is fairly unlikely. What is more likely is that there will be multiple colors involved (because we have roughly the same number for each color mors or less). So consider the scenario in the next section below.

----------

If Jack were to draw a red ball first, then a green ball second, and then a white ball third, then so far has selected 3 balls from the drawer. None of the colors match up. This is leading to the worst case scenario in terms of the number of balls to select. In other words, Jack is really unlucky to not get any colors match up so far. When aiming for a guarantee like this, it is wise to think of the worst case scenario.

If we repeat the pattern (red, green, white) then so far we have 2 balls of each color. In total we have selected 6 overall. Note how 3*2 = 6.

Repeat this a third time, then we'll select 9 balls total (3*3 = 9)

The fourth iteration of this pattern has 3*4 = 12 balls overall picked out, and so on.

If we continue the pattern, then we'll see that we will need to select 3*8 = 24 balls to guarantee that we have at least 8 of the same color (eg: 8 red balls). Chances are that we'll have 8 of the same color before we hit the 24 ball mark, but we wont have a 100% guarantee of such. Reaching 24 balls is the only way to guarantee the claim is true.

So to summarize: I pictured the worst case scenario (red,green,white) and extended out the pattern so that it led to 24 as the final answer.

4 0
3 years ago
Read 2 more answers
Find the area of the shaded region.
Anastaziya [24]

Answer: 5.2 cm2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A number when divided by 780 gives remainder 38 .What
baherus [9]

Given:

A number when divided by 780 gives remainder 38.

To find:

The reminder that would be obtained by dividing same number by 26.

Solution:

According to Euclis' division algorithm,

a=bq+r                ...(i)

Where, q is quotient and 0\leq r is the remainder.

It is given that a number when divided by 780 gives remainder 38.

Substituting b=780,\ r=38 in (i), we get

a=(780)q+38

So, given number is in the form of 780q+38, where q is an integer.

On dividing 780q+38 by 26, we get

\dfrac{780q+38}{26}=\dfrac{780q}{26}+\dfrac{38}{26}

\dfrac{780q+38}{26}=30q+\dfrac{26+12}{26}

\dfrac{780q+38}{26}=30q+\dfrac{26}{26}+\dfrac{12}{26}

\dfrac{780q+38}{26}=30q+1+\dfrac{12}{26}

Since q is an integer, therefore (30q+1) is also an integer but \dfrac{12}{26} is not an integer. Here 26 is divisor and 12 is remainder.

Therefore, the required remainder is 12.

4 0
3 years ago
PLZZZZZZZZZZZZZZZZZ HELP!
zheka24 [161]

Answer:

-8

Step-by-step explanation:

5(x+12)=  20

5x+60= 20  

5x= -40

x= -8

3 0
3 years ago
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