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Andre45 [30]
4 years ago
12

Explain why the equation (x-4)^2-10=15 has two solutions.

Mathematics
2 answers:
Snowcat [4.5K]4 years ago
8 0
Add 10 both sides
(x-4)^2=25
sqrt both sides
remember to take positive and negative roots
x-4=+/-5
add 4
x=4+/-5

it is because the square  of z is the same as the square of -z for example

it is becasue of of the property of squareing numbers
snow_lady [41]4 years ago
6 0
Let's solve it first, so that we can understand whats going on in the equation

(x-4)²-10=15
add 10 to both sides
(x-4)²=25
square root both sides

(Okay, so here is where the problem can have 2 solutions. Because the square root of 25 could be (5*5) or it could be (-5*-5). If it's positive five then...

x-4=5
add 4 to both sides
x=9

if it's negative 5 then...

x-4=-5
add 4 to both sides
x=-1

So the answer could be x=-1 or x=9. 

It has two solutions because there are two possibilities for the answer to the square root of 25.

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Manuel Romo sells tires at the local shopping mall. Romo earns 20 percent commission on the first $500, 25 percent on the next $
11111nata11111 [884]

His total commission is $482

Commission can be defined as the amount a person or an individual received for the sales of goods and services.

Now let determine the Total<em> </em>Commission

Total commission=(20%×$500) +(25%×$1,000)+[30%×($1,940-$1,500)

Total commission=(20%×$500) +(25%×$1,000)+(30%×$440)

Total commission=$100+$250+$132

Total commission=$482

Inconclusion his  total commission is $482

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brainly.com/question/14493764

8 0
3 years ago
What is the area of a semicircle whose perimeter is 72cm
harkovskaia [24]

Answer:

A = 307.9 sq/cm

Step-by-step explanation:

Find the radius of the semi-circle

diameter + half the circumference = 72 cm

2r + pi*r = 72

r(2+pi) = 72

 

r = 72%2F%28%282%2Bpi%29%29

r = 14

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what will be the area of that semicircle?

A =1%2F2*pi%2A14%5E2

A = 307.9 sq/cm

7 0
3 years ago
A stadium has 50 comma 00050,000 seats. Seats sell for ​$3030 in Section​ A, ​$2424 in Section​ B, and ​$1818 in Section C. The
Mariulka [41]

A= B+C

As given, A+B+C = 50000 seats

A+(B+C) = 50000

2A = 50000

A= 25000 seats

Now section A sells seats at $30 each

So, 25000\times30=750000

Now, B+C = 25000

B = 25000-C

B sells at $24 and C sells at $18

So, 24B+18C = 538800

Now as section A incurs an amount of $750000 from booking, so B and C will incur 1288800-750000 = 538800 where $1288800 is the total booking amount.

24B+18C = 538800

24(25000-C)+18C=538800

600000-24C+18C=538800

6C = 61200

C = 10200

Now, B = 25000-C

B = 25000 - 10200 = 14800

Hence, section A has 25000 seats

Section B has 14800 seats

Section C has 10200 seats




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4 years ago
Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether th
Sveta_85 [38]
Slope=(y2-y1)/(x2-x1)
=(5-4)/(4-2)
=1/2
slope > 0  => the line rises (from left to right).
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3 years ago
Giselle works as a carpenter and as a blacksmith.
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She worked for 12 hours as a carpenter and 18 hours as a black smith 
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