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aalyn [17]
3 years ago
10

_ABC is a right triangle where m_B = 90Á. The coordinates of A and B are (5, 0) and (2, 5), respectively. If the x-coordinate of

point C is 7, what is the y-coordinate of C?
5

7

8

10
Mathematics
1 answer:
Leokris [45]3 years ago
4 0
Since the triangle is a right triangle at point B, then line AB is perpendicular to line BC.
For perpendicular lines, the product of their slopes is -1.
Slope of AB = (5 - 0)/(2 - 5) = 5/-3 = -5/3
Slope of BC = (y - 5)/(7 - 2) = (y - 5)/5

-5/3(y - 5)/5 = -1
-5(y - 5)/15 = -1
-5(y - 5) = -15
y - 5 = 3
y = 3 + 5 = 8

Therefore, the y-coordinate of point C is 8.
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Pls helpp
irina1246 [14]
  • you will need 2 busses to only transport the boys.
  • Mark is at (1 + 5/6) miles of his house.
<h3>How many buses would it take to carry only the boys?</h3>

We know that there are (3 + 1/2) groups, such that each group fill one bus.

2/5 of the students are boys, then the number of groups that we can make only with boys is:

(2/5)*(3 + 1/2) = 6/5 + 1/5 = 7/5 = 5/5 + 2/5 = 1 + 2/5

Then you can make one and a little less than a half of a group, which means that you need 1 and 2/5 of a buss to transport the boys, rounding that to the a whole number, you will need 2 busses to only transport the boys.

<h3>How far is Mark from his house?</h3>

The original distance is:

D = (2 + 3/4) miles.

But Mark only covers 2/3 of that distance, then we have:

d = (2/3)*D = (2/3)*(2 + 3/4) miles = (4/3 + 2/4) miles

d = (4/3 + 1/2) miles = (8/6 + 3/6) miles = (1 + 5/6) miles

Mark is at (1 + 5/6) miles of his house.

If you want to learn more about mixed numbers:

brainly.com/question/21610929

#SPJ1

7 0
1 year ago
Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cub
seraphim [82]

Answer:

322.63%

Step-by-step explanation:

Volume of square pyramid = 1/3a²h

a = base side length ; h = height

Volume of pyramid A :

a = 18 ; h = 9

V = 1/3*18²*9

V = 18² * 3

V = 972 in³

Volume of pyramid B = 3136 in³

Volume of pyramid B / Volume of pyramid A

(3136 / 972) * 100% = 322.63%

8 2
3 years ago
Read 2 more answers
Please someone help me and do not just write anything explain thank you . use the information provided to write the vertex form
notka56 [123]
Ok, so user says that it should be solve for vertex not vertex form
(x,y)
to find the vertex of
y=ax^2+bx+c

the x value of the vertex is -b/2a
the y value is found by plugging in the x value for the vertex back into the original equation and evaluating


y=-2x^2-12x-28
a=-2
b=-12

xvalue of vertex is -(-12)/(2*-2)=12/-4=-3

x value of vertex is -3

plug backin for x
y=-2x^2-12x-28
y=-2(-3)^2-12(-3)-28
y=-2(9)+36-28
y=-18+8
y=-10

yvalue is -10
x value is -3

vertex is (-3,-10)
5 0
3 years ago
Which system is equivalent y=-2x^2 y=x-2
german
The wording of your question suggests that there were answer choices.  Mind sharing them?

The system   <span>y=-2x^2 y=x-2 would be best written as:

</span><span>y=-2x^2 
y=x-2                  If you subst. x-2 for y in the first equation, you'll get:
                           x-2 = -2x^2,   or 2x^2 + x - 2 = 0.
                           </span>
7 0
3 years ago
Read 2 more answers
N + (18 - 6) = 32 who can help me?
MissTica

Answer:

20

Step-by-step explanation:

N + (18 - 6) = 32

Simplify bracket

N + 12 = 32

Subtract 12 from both sides to eliminate 12 on the left side

N + 12 - 12 = 32 - 12

N = 20

5 0
3 years ago
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