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3 years ago

Congruent or not congruent?

Mathematics

2 answers:

sergeinik [125]3 years ago

8 0

Answer:

Congruent

Step-by-step explanation:

Hope that helps!

Fiesta28 [93]3 years ago

3 0

Answer:

congruint

Step-by-step explanation:

same size, same shape

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Is this question correct ?

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Find the equation for the trend line through the points (0, 11) and (100, 33). Then use it to predict the number of baskets Romy

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Answer:

28 baskets

Step-by-step explanation:

The equation for a linear trend line is given by:

y = mx + b, where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x is zero).

The equation of a line passing through two points $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

y represent the number of baskets made and x represents the time take. Given that the line passes through the points (0, 11) and (100, 33), hence:

$y-11=\frac{33-11}{100-0}(x-0)\\\\y-11=\frac{11}{50}x\\\\y= \frac{11}{50}x+11$

The number of baskets Romy would make after practicing for 80 minutes (x = 80) is:

$y=\frac{11}{50}x+11\\\\y=\frac{11}{50}(80)+11 \\\\y=17.6+11\\\\y=28.6\\\\Therefore\ y\ =\ 28\ baskets$

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Looking at the graph

we have a vertical parabola open downward

The leading coefficient is negative

The vertex is a maximum

The vertex is the point (1,2)

The axis of symmetry is equal to the x-coordinate of the vertex, so the axis of symmetry is x=1

The y-intercept is the point (0,1)

The function has two real solutions (zeros of the function) one positive and one negative

The positive zero of the function is greater than 2

The negative zero of the function is greater than -1

<u><em>Verify each statement</em></u>

case 1) a < 0

The statement is true

Because the parabola open downward

case 2) The vertex is (1,2)

The statement is true

The vertex in this problem is the maximum of the function

case 3) The axis of symmetry is y =2

The statement is false

Because the axis of symmetry is x=1

case 4) x = 2 is a zero of the function

The statement is false

Because the positive zero of the function is greater than 2

case 5) (1,2) is a minimum

The statement is false

Because the vertex in this problem is a maximum

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