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2 years ago

Explain how to determine if two figures are congruent.

2 answers:

6 0

One way is to trace around one of the triangles and place it over the other. If the angles and sides match exactly, then the two are congruent. But there is another way to tell. If two triangles have congruent corresponding parts, then the triangles are congruent triangles.

Katarina [22]2 years ago

4 0

Answer:

Congruent shapes must have the same shape and size. To determine if two figures are congruent, measure all of their angles and side lengths. If each pair of corresponding angles and sides have the same measure, then the figures are congruent.

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How to find equation hyperbola with asymptotes, center and transverse?

lapo4ka [179]

The equation for a hyperbola is (x-h)/a - (y-k)/b = 1
Or (y-k)/a - (x-h)/b = 1
h represents the x value of the coordinate
k value represents the y value of the coordinate
together they represent a point, which is the center
So (h,k) is (x,y)

The asymptote is y-k = +/- b/a (x-h)
The transverse is the line that goes through the hyperbola.

6 0

2 years ago

A see-saw is 25 feet long with a fulcrum in the middle of the board. If a 60 lb. child sits three feet from the fulcrum, what is

My name is Ann [436]

Answer:

14.4 lb

Step-by-step explanation:

In a see-saw in equilibrium, the torque generated by one side needs to be the same generated in the other side. The torque is calculated by the product between the mass and the distance to the center of the see-saw.

The torque generated by the child is:

T1 = 60 * 3 = 180 lb*feet

So, the torque generated by the weight needs to be higher than T1 in order to lift the child.

The lowest mass is calculated when the mass is in the maximum distance, that is, 12.5 feet from the center.

So, we have that:

T2 = 180 = mass * 12.5

mass = 180/12.5 = 14.4 lb

So the lowest weight is 14.4 lb

4 0

3 years ago

f(x) = square root ( x^4 -16x^2) let f be the function given by: . . a) Find the domain of f.. b) Find f '(x). c) Find the slope

Bond [772]

A ) The domain:
$x^{4} -16 x^{2} \geq 0 \\ x^{2} ( x^{2} -16) \geq 0 \\ x^{2} -16 \geq 0 \\ x^{2} \geq 16$
x ≤ -4 and x≥ 4 or: x ∈ ( - ∞ , - 4 ) ∪ ( 4 , + ∞ )
b ) f ` ( x ) = $\frac{1}{2 \sqrt{ x^{4} -16 x^{2} } } *( 4 x^{3} - 32 x ) = \\ = \frac{2x( x^{2} -8)}{ \sqrt{ x^{4}-16 x^{2} } }$
c ) The slope of the line normal to the graph at x = 5
m = -1 / f `(x)
f ` ( x ) = $\frac{10(25-8)}{ \sqrt{625-400} }= \frac{10*17}{15} = \frac{34}{3}$
m = - 3/34

8 0

2 years ago

You can spend at most $20 on tomatoes and red peppers for a soup. Tomatoes cost $2.50 per pound and red peppers cost $4 per poun

Umnica [9.8K]

Answer:

The expression which represents the quantity of tomatoes and red peppers to buy is $ 2.50 × T + $ 4 × R = $ 20

Step-by-step explanation:

Given as :

The total amount spend for soup = $ 20

The cost of Tomatoes = $ 2.50 per pound

The cost of Red peppers = $ 4 per pound

Let the quantity of tomatoes to be bought = T pound

The quantity of red peppers to be bought = R pound

So, According to question

$ 2.50 × T + $ 4 × R = $ 20

I.e The expression which represents the quantity of tomatoes and red peppers to buy is $ 2.50 × T + $ 4 × R = $ 20 . Answer

5 0

2 years ago

What is the y-intercept of the line given by the equation below?

uysha [10]

I believe your answer is going to be C.

3 0

2 years ago