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stiks02 [169]
3 years ago
11

X^2 =1 how many solutions are there

Mathematics
2 answers:
vlada-n [284]3 years ago
7 0

Answer:

x=1, x=-1

Step-by-step explanation:

x^2=1

x=sqrt(1)=+-1

Thus, there are 2 solutions: 1 and -1

HACTEHA [7]3 years ago
5 0

Answer:

Answer:

x=1 or x=−1

Step-by-step explanation:

I think just 2

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13 POINTS- please help me
allsm [11]

Answer:

See explanation

Step-by-step explanation:

16. Two parallel lines are cut by transversal. Angles with measures (6x+20)^{\circ} and (x+100)^{\circ} are alternate exterior angles. By alternate exterior angles, the measures of alternate exterior angles are the same:

6x+20=x+100\\ \\6x-x=100-20\\ \\5x=80\\ \\x=16

Then

(6x+20)^{\circ}=(6\cdot 16+20)^{\circ}=116^{\circ}\\ \\(x+100)^{\circ}=(16+100)^{\circ}=116^{\circ}

17. Two parallel lines are cut by transversal. Angles with measures (2x+12)^{\circ} and (3x-22)^{\circ} are alternate interior angles. By alternate interior angles, the measures of alternate interior angles are the same:

2x+12=3x-22\\ \\2x-3x=-22-12\\ \\-x=-34\\ \\x=34

Then

(2x+12)^{\circ}=(2\cdot 34+12)^{\circ}=80^{\circ}\\ \\(3x-22)^{\circ}=(3\cdot 34-22)^{\circ}=80^{\circ}

18. Two parallel lines are cut by transversal. Angles with measures (6x-7)^{\circ} and (5x+10)^{\circ} are alternate exterior angles. By alternate interior angles, the measures of alternate exterior angles are the same:

6x-7=5x+10\\ \\6x-5x=10+7\\ \\x=17

Then

(6x-7)^{\circ}=(6\cdot 17-7)^{\circ}=95^{\circ}\\ \\(5x+10)^{\circ}=(5\cdot 17+10)^{\circ}=95^{\circ}

19. The diagram shows two complementary angles with measures 2x^{\circ} and 56^{\circ}. The measures of complementary angles add up to 90^{\circ}, then

2x+56=90\\ \\2x=90-56\\ \\2x=34\\ \\x=17

Hence,

2x^{\circ}=2\cdot 17^{\circ}=34^{\circ}

Check:

34^{\circ}+56^{\circ}=90^{\circ}

20. Angles \angle 1 and \angle 2 are vertical angles. By vertical angles theorem, vertical angles are congruent, so

m\angle 1=m\angle 2\\ \\5x+7=3x+15\\ \\5x-3x=15-7\\ \\2x=8\\ \\x=4

Hence,

m\angle 1=(5x+7)^{\circ}=(5\cdot 4+7)^{\circ}=27^{\circ}\\ \\m\angle 2=(3x+15)^{\circ}=(3\cdot 4+15)^{\circ}=27^{\circ}

21. \angle 5 and \angle 8 are supplementary. The measures of supplementary angles add up to 180^{\circ}, so

m\angle 5+m\angle 8=180^{\circ}\\ \\3x-40+7x-120=180\\ \\10x-160=180\\ \\10x=180+160\\ \\10x=340\\ \\x=34

Therefore,

m\angle 5=(3x-40)^{\circ}=(3\cdot 34-40)^{\circ}=62^{\circ}\\ \\m\angle 8=(7x-120)^{\circ}=(7\cdot 34-120)^{\circ}=118^{\circ}\\ \\62^{\circ}+118^{\circ}=180^{\circ}

7 0
3 years ago
Break a part the array to show 8×6=(4×6)+(4×6)
Maksim231197 [3]
8×6= 48
4×6=24, 24+24=48

or

(4×6)+(4×6)=2×4×6=8×6
6 0
3 years ago
What is the area of a triangle with a base of 6mm and a height of 9mm
baherus [9]
Areaa= 0.5 b h
= 0.5 x 9 x 6 = 27 mm
8 0
3 years ago
It took Jimena 89 minutes to run a 15-kilometer race last weekend. If you know that 1 kilometer equals 0.621 mile, how many minu
Novosadov [1.4K]
The answer is <span>9.55 minutes
</span>
1. Turn 15 km into miles:
    1 km = 0.621 mile
    15 km = 15 * 0.621 mile = 9.315 miles
So, she ran 9.315 miles for 89 minutes

2. Calculate <span>how many minutes it took Jimena to run 1 mile during the race:
    S</span>he ran 9.315 miles for 89 minutes.
    She ran 1 mile for x minutes.
    9.315 mi : 89 min = 1 mi : x
    x = 89 min * 1 mi / 9.315 mi
    x = 9.55 min
3 0
3 years ago
You are choosing between two health clubs. Club A offers membership for a fee of $12 plus a monthly fee of $28. Club B offers me
EleoNora [17]

A has fixed one time fee of $12 and if you go to it say "m" months you pay $28 for each month, so your total cost at A is really 12 + 28m.

B has a fixed one time fee of $20 and if you go to it "m" months you pay $26 for each month, so you total cost at B is 20 + 26m.

how many months for the cost to be the same?

\stackrel{A}{12+28m}=\stackrel{B}{20+26m}\implies 12+2m=20\implies 2m=8\implies m=\cfrac{8}{2}\implies m=4

well, since the cost for both is the same, we can just get A's, knowing that B is the same

12+28(4)\implies 12+112\implies 124

5 0
2 years ago
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