Answer:
-9
Step-by-step explanation:
-3(2) + (-3)
-6 + (-3)
-9
Answer:
16x - 48y +24
Step-by-step explanation:
We can use the distributive property to expand:
- 8(2x - 6y + 3)
- 8 x 2x - 8 x 6y + 8 x 3
- 16x - 48y + 24
Hope this helps!!
Answer: The equation of an ellipse:
(
x
−
h
)
2
a
2
+
(
y
−
k
)
2
b
2
=
1
;
a
>
b
Has vertices at
(
h
±
a
,
k
)
Has foci at
(
h
±
√
a
2
−
b
2
,
k
)
Use the vertices to write 3 equations:
k
=
4
[1]
h
−
a
=
−
6
[2]
h
+
a
=
10
[3]
Use equations [2] and [3] to solve for h and a:
2
h
=
4
h
=
2
a
=
8
Use the focus to write another equation:
8
=
h
+
√
a
2
−
b
2
Substitute values for h and a:
8
=
2
+
√
8
2
−
b
2
6
=
√
64
−
b
2
36
=
64
−
b
2
b
2
=
64
−
36
b
2
=
28
b
=
√
28
Substitute the values into the standard form:
(
x
−
2
)
2
8
2
+
(
y
−
4
)
2
(
√
28
)
2
=
1
Using the Heron's formula, the area of the triangle is: D. 95 square inches.
<h3>What is the Heron's Formula?</h3>
Area = √[s(s - a)(s - b)(s - c)] where s is half the perimeter, or (a + b + c)/2.
Given the following:
s = semi-perimeter = 1/2(50) = 25 in.
a = length of side a = 22 in.
b = length of side b = 13 in.
c = length of side c = 50 - 22 - 13 = 15 in.
Plug in the values
Area = √[25(25 - 22)(25 - 13)(25 - 15)]
Area = √[25(3)(12)(10)]
Area ≈ 95 square inches.
Learn more about the Heron's formula on:
brainly.com/question/10713495
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1.) 12+x is greater than or equal to 20
2.) 14 is greater than it equal to x
3.) 50 is greater than or equal to x
