Answer:
f(-3)=56
Step-by-step explanation:
When evaluating a specific input for a function, you just plug that input in for x.
So in this case, f(-3)=5(-3)^2-2(-3)+5
f(-3)=5(-3)^2-2(-3)+5
f(-3)=5(9)+6+5
f(-3)=45+6+5
f(-3)=56
Answer:
147?
Step-by-step explanation:
Answer:
x = 9.
Step-by-step explanation:
-5 square root x =15
divide both sides by -5:
√x = 15/-5 = -3
Squaring both sides:
x = 9.
Answer:
24.5 unit²
Step-by-step explanation:
Area of ∆
= ½ | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |
= ½ | (-1)(3 -(-4)) + 6(-4 -3) + (-1)(3 - 3) |
= ½ | -7 - 42 |
= ½ | - 49 |
= ½ (49)
= 24.5 unit²
<u>Method 2:</u>
Let the vertices are A, B and C. Using distance formula:
AB = √(-1-6)² + (3-3)² = 7
BC = √(-6-1)² + (-4-3)² = 7√2
AC = √(-1-(-1))² + (4-(-3))² = 7
Semi-perimeter = (7+7+7√2)/2
= (14+7√2)/2
Using herons formula:
Area = √s(s - a)(s - b)(s - c)
here,
s = semi-perimeter = (14 + 7√2)/2
s - a = S - AB = (14+7√2)/2 - 7 = (7 + √2)/2
s - b = (14+7√2)/2 - 7√2 = (14 - 7√2)/2
s - c = (14+7√2)/2 - 7 = (7 + √2)/2
Hence, on solving for area using herons formula, area = 49/2 = 24.5 unit²
Answer: x = 9.0
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is x
With m∠39 as the reference angle,
the adjacent side of the right angle triangle is 7
The unknown side represents the opposite side of the right angle triangle.
To determine x, we would apply
the cosine trigonometric ratio which is expressed as
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 39 = 7/x
x = 7/cos 39 = 7/0.777
x = 9.0 to the nearest tenth
