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Anvisha [2.4K]
3 years ago
10

Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long.Point C is on the line x = -1.

If the area of AABC is 6 square units,
then find a possible y-coordinate of point
05
06
07
08

Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0

Answer:

6

Step-by-step explanation:

Area = 1/2( base times height)

since the height is perpendicular to the base

therefore

6 = 1/2(3) h

12 =3h

4=h

4 units away from the y=2 line is at the y coordinate of 6

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Find the sum of the constants a, h, and k such that
ra1l [238]

Answer:

  3

Step-by-step explanation:

The value of "a" is the coefficient of x^2, so we know that is 2.

__

<u>Solve for h</u>

Now, we have ...

  2x^2 -8x +7 = 2(x -h)^2 +k

Expanding the right side gives us ...

  = 2(x^2 -2hx +h^2) +k

  = 2x^2 -4hx +2h^2 +k

Comparing x-terms, we see ...

  -4hx = -8x

  h = (-8x)/(-4x) = 2

__

<u>Solve for k</u>

Now, we're left with ...

  2h^2 +k = 7 = 2(2^2) +k = 8 +k

Subtracting 8 we find k to be ...

  k = 7 -8 = -1

__

And the sum of constants a, h, and k is ...

  a +h +k = 2 +2 -1 = 3

The sum of the constants is 3.

6 0
4 years ago
Emery earns money mowing his neighbors' lawns. He charges $1.25 per square yard for each lawn he mows. His neighbors, the Flores
aleksandr82 [10.1K]

Answer: 4.2 yards

Step-by-step explanation:

Let x = length of the Flores' lawn in yards.

Then, Area of lawn = 4x  sq. yard [Area of rectangle = width x length , here width = 4 yds (given)]

Charge per square yard = $1.25

Charge for Flores lawn = 1.25 × (Area of lawn)

= 1.25 (4x)

= 5x

As per given,

5x=21\\\\\Rightarrow\ x=\dfrac{21}{5}\\\\\Rightarrow\ x=4.2

Hence, the length of the Flores's lawn = 4.2 yards

5 0
3 years ago
-4c - 6d = 24 when c = 0
timofeeve [1]
Do you know what D equals?
3 0
4 years ago
Use the chart below to answer the questions:
MrRissso [65]

Answer:

Good question IM gonna come back and awnser this question dont worry this wont be the last of Me

Step-by-step explanation:

6 0
3 years ago
PLS HELP
aleksley [76]

The volume of the given rectangular prism is option C. 24 un^{3}.

Step-by-step explanation:

Step 1:

The dimensions of the given rectangular prism are 4 units × 3 units × 2 units.

So we take the length equals 4 units, the width is equal to 3 units and the height is 2 units.

Step 2:

The volume of this rectangular prism is calculated by multiplying the given prism's length, its width, and its height.

The Volume of the given rectangular prism = ( Length)  (Width) (Height) = (4units)  (3units)  (2 units) = 24 unit^{3} .

So the given right rectangular prism's volume is 24 unit^{3} which is option C.

8 0
3 years ago
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