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ale4655 [162]
3 years ago
9

What is the area of this triangle?

Mathematics
1 answer:
Alisiya [41]3 years ago
6 0
7 I think let me know if I’m wrong
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State whether the number is prime, composite, or neither.<br><br> 55
victus00 [196]

Answer:

composite

Step-by-step explanation:

because number is a number that can be divided evenly by more numbers than 1 and itself.The number 55 can be evenly divided by 1, 5, 11

4 0
2 years ago
Solve for t<br><br> 4/3 = t/7
Mumz [18]

Answer:

\frac{28}{3}=t

Step-by-step explanation:

\frac{4}{3}=\frac{t}{7}

Use cross products to simplify the equation. Multiply the denominator of the second fraction by the numerator of the first fraction, and the denominator of the first fraction by the numerator of the second,

(4)(7) = (3)(t)

Simplify,

28=3t

Inverse operations,

\frac{28}{3}=t

4 0
2 years ago
1.) Determine the type of solutions for the function (Picture 1)
NNADVOKAT [17]

Answer:

1) 2 nonreal complex roots

2) 1 Real Solution

3) 16

4) Reflected, narrower by a factor of 2/5, slides right 4 units and slides up 6 (units)

Step-by-step explanation:

1) The graph does not intercept the x-axis, therefore, there are no real solutions at the point y = 0

We get;

y = a·x² + b·x + c

At y = 6, x = -2

Therefore;

6 = a·(-2)² - 2·b + c = 4·a - 2·b + c

6 = 4·a - 2·b + c...(1)

At y = 8, x = 0

8 = a·(0)² + b·0 + c

∴ c = 8...(2)

Similarly, we have;

At y = 8, x = -4

8 = a·(-4)² - 4·b + c = 16·a - 4·b + 8

16·a - 4·b = 0

∴ b = 16·a/4 = 4·a

b = 4·a...(3)

From equation (1), (2) and (3), we have;

6 = 4·a - 2·b + c

∴ 6 = b - 2·b + 8 = -b + 8

6 - 8 = -b

∴ -b = -2

b = 2

b = 4·a

∴ a = b/4 = 2/4 = 1/2

The equation is therefor;

y = (1/2)·x² + 2·x + 8

Solving we get;

x = (-2 ± √(2² - 4 × (1/2) × 8))/(2 × (1/2))

x =( -2 ± √(-12))/1 = -2 ± √(-12)

Therefore, we have;

2 nonreal complex roots

2) Give that the graph of the function touches the x-axis once, we have;

1 Real Solution

3) The given function is f(x) = 2·x² + 8·x + 6

The general form of the quadratic function is f(x) = a·x² + b·x + c

Comparing, we have;

a = 2, b = 8, c = 6

The discriminant of the function, D = b² - 4·a·c, therefore, for the function, we have;

D = 8² - 4 × 2 × 6 = 16

The discriminant of the function, D = 16

4.) The given function is g(x) = (-2/5)·(x - 4)² + 6

The parent function of a quadratic equation is y = x²

A vertical translation is given by the following equation;

y = f(x) + b

A horizontal to the right by 'a' translation is given by an equation of the form; y = f(x - a)

A vertical reflection is given by an equation of the form; y = -f(x) = -x²

A narrowing is given by an equation of the form; y = b·f(x), where b < 1

Therefore, the transformations of g(x) from the parent function are;

g(x) is a reflection of the parent function, with the graph of g(x) being narrower by 2/5 than the graph of the parent function. The graph of g(x) is shifted right by 4 units and is then slides up by 6 units.

7 0
2 years ago
What’s the answer I need help bc I’m catching up on work bc school ends in 3 days I think soo plsss help me
olchik [2.2K]
I believe it’s the first one. 1.5 + 2 = 3.5
3 0
2 years ago
A=4pi r^{2} solve for r
lara [203]
             A = 4πr²          Divide both sides by 4π
     A / 4π = r²               Find the square root of both sides
√(A / 4π) = √(r²)          Cancel out the square with the square root
√(A / 4π) = r                Switch the sides to make it easier to read
              r = √(A / 4π)
5 0
2 years ago
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