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egoroff_w [7]
3 years ago
5

Ill give brainliest

Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

y-coordinate is 5 or -1.

Step-by-step explanation:

Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2  and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).

Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).

The area of ΔABC is 6. So,

9 = 1/2 (b)(h)

where b is the base and h is the height.

so b = 6 and h = AC

Solving this for C gives

9 = 1/2 (6)(AC)

18/6 = AC

3 = AC

9 = 1/2 (6)(AC)

18/6 = AC

3 = AC

Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.

If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.

Therefore, y-coordinate is 5 or -1.

Step-by-step explanation:

You might be interested in
Is P(3,2) and Q(2,3)represent the same point​
nlexa [21]

Answer:no

Step-by-step explanation:

Because on a graph (2,3) means that the point is two along and three up while (3,2) means it is 3 along and two up.

6 0
2 years ago
Give the property that justifies each step.
frosja888 [35]

Answer:

Please check the explanation below.

Step-by-step explanation:

Some of the properties are defined as:

  • <em>Distributive property</em>

a(b+c) = ab+ac

For example,

suppose a=3, b=4, c=5

3(4+5) = 3(4) + 3(5)

3(9) = 12+15

27 = 27

  • <em>Subtraction property of Equality</em>

if (a=b), then a-c = b-c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a-c = b-c ⇒ 2-5 = 2- 5 ⇒ -3 = -3

  • <em>Addition property of Equality</em>

if (a=b), then a+c = b+c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a+c = b+c ⇒ 2+3 = 2+3  ⇒ 5 = 5

  • <em>Multiplicative property of Equality</em>

if (a=b), then a×c = b×c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a×c = b×c ⇒ 2×5 = 2 × 5  ⇒ 10 = 10

  • <em>Division property of Equality</em>

if (a=b), then a÷c = b÷c

For example,

suppose a=2, b=2, c=5

if a = b ⇒ 2 = 2

then a÷c = b÷c ⇒ 2÷5 = 2 ÷ 3  ⇒ 2/5 = 2/5

Let us solve the given equation using the above properties.

7n-16=47                     Given

7n-16+16=47+16   1) Addtion property of Equality ∵ if (a=b), then a+c = b+c

7n=63                  2) simplify

n = 9                    3) Division property of Equality ∵ if (a=b), then a÷c = b÷c        

3 0
2 years ago
What is 3/5 as a decimal?
Liula [17]
The answer to the question is 0.6
7 0
3 years ago
Read 2 more answers
how do I cancel this out??? this is the only thing I don't understand... have an a on my class but... never get these right...
Rus_ich [418]
You factor the expression first leaving you with \frac{3xy(z-1)}{3xy}
Then you would cancel out 3xy as because there is exactly one on each side. This, in turn, would leave you with z - 1
6 0
3 years ago
there are 20 cups of flour in the pacages of flour they buy ow many small muffins can they mae if they each take 1/4 of flour
lesya692 [45]
1/4 converted into a decimal is .25
20÷.25=80
the answer is 80
7 0
3 years ago
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