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CaHeK987 [17]
3 years ago
15

The actual length of a in the triangle shown is 10 cm. Use the scale drawing of the triangle to find the actual length of side b

.
A) 0.18 cm
B) 12.5 cm
C) 16 cm
D) 48.5 cm

Mathematics
1 answer:
mafiozo [28]3 years ago
8 0
The answer is B, 12.5
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Choose the inverse of y = x2 - 10x.
PilotLPTM [1.2K]

=Y2-10Y

We move all terms to the left:

-(Y2-10Y)=0

We add all the numbers together, and all the variables

-(+Y^2-10Y)=0

We get rid of parentheses

-Y^2+10Y=0

We add all the numbers together, and all the variables

-1Y^2+10Y=0

a = -1; b = 10; c = 0;

Δ = b2-4ac

Δ = 102-4·(-1)·0

Δ = 100

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

Y1=−b−Δ√2aY2=−b+Δ√2a

Δ‾‾√=100‾‾‾‾√=10

Y1=−b−Δ√2a=−(10)−102∗−1=−20−2=+10

Y2=−b+Δ√2a=−(10)+102∗−1=0−2=0

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3 years ago
In the graph shown, suppose that f(x) = ax, g(x) = bx, and h(x) = cx. Choose the true statement.
faltersainse [42]
Where a, b, and c are real numbers and a ≠ 0 . The quadratic term is ax 2 , the linear term is bx, and the constant term is c. Quadratic functions have degree two. The graph of a quadratic function is called a parabola. If a < 0, then the parabola opens downward, like function g. If a > 0, then the parabola opens upward like function f. If the parabola opens upward, then the vertex is the point whose yvalue is the minimum value of f. If the parabola opens downward, then the vertex is the point whose y-value is the maximum value of f. The vertical line that goes through the vertex is called the axis of symmetry of the parabola.
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Answer:

The approximate probability is 0.7325.

Is not unlikely that a driver in that age bracket is involved in a car crash during a​ year, so there are reasons to be concerned.

Step-by-step explanation:

The approximate probability can be estimated using the sample proportion:

p=\dfrac{X}{n}=\dfrac{293}{400}=0.7325

A probability of 0.7325 is high, so it is not unlikely that a driver in that age bracket is involved in a car crash during a​ year.

As this value is high, there is reasons to be concerned about it.

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3 years ago
Add and reduce to lowest terms: 5 1/4+4 5/6
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Answer:

−6.7 + (−2 1/ 5 )

Step-by-step explanation:

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