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3 years ago

I NEED HELP WITH THIS

Mathematics

2 answers:

aivan3 [116]3 years ago

5 0

Answer:

(5,0) & (3 , -1)

Step-by-step explanation:

Solution is the points where the parabola and line intersects.

snow_lady [41]3 years ago

5 0

Answer:

(3,-2) and (6,1)

Step-by-step explanation:

I believe these are the answers. these points are where the parabola and line intersect.

I hope this helps!! good luck!!

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I need help to fill in the blanks.. please

Murljashka [212]

Answer:

Part a) alternate interior angles theorem

Part b) vertical angles theorem

Part c) AA Similarity theorem

Part d) triangle ABC is similar with triangle EDC

Part e) The length side b is 3 cm

Step-by-step explanation:

Part a) we know that

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent. Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal.

In this problem

The transversal is the segment BD and the parallel lines are AB and DE

$m\angle 1=m\angle 4$ ----> by alternate interior angles theorem

Part b) we know that

Vertical Angles Theorem states that vertical angles are congruent. Vertical Angles are the angles opposite each other when two lines cross.

In this problem, the two lines that cross are BD and AE

$m\angle 5=m\angle 6$ ----> by vertical angles theorem

Part c) we know that

The AA Similarity Theorem states: If two angles of one triangle are congruent to two corresponding angles of another triangle, then the triangles are similar

In this problem

triangle ABC is similar with triangle EDC by AA Similarity Theorem

Because

$m\angle 1=m\angle 4$ ----> by alternate interior angles

$m\angle 5=m\angle 6$ ----> by vertical angles

Part d) triangle ABC is similar with triangle EDC by AA Similarity Theorem

see the explanation Part c)

Part e) Find the length of side b

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

we have that

triangle ABC is similar with triangle EDC

Applying proportion

$\frac{BC}{DC}=\frac{AC}{EC}$

substitute the given values

$\frac{2}{DC}=\frac{5}{7.5}$

solve for DC

$DC=2(7.5)/5=3\ cm$

therefore

The length side b is 3 cm

6 0

3 years ago

I need help with this for my numerical analysis class! Consider the following data set: (1,2.2), (3,5), (5,5.5),(7,6.1), (10,6.6

lyudmila [28]

Answer:

m ≈ 8.165
b ≈ 2.299

Step-by-step explanation:

It is convenient to let technology help out. Some graphing calculators will accommodate a model of your choice. Others are restricted to particular models, of which yours may not be one.

A spreadsheet solver may also offer the ability to optimize two variables at once. For that, you would write a function that gives the sum of the squares of the differences between your data points and those predicted by the model. You would ask the solver to minimize that sum.

If you want to do this "the old-fashioned way," you would write the same "sum of squares" function and differentiate it with respect to m and b. Solve the simultaneous equations that make those derivatives zero. (My solver finds multiple solutions, so the neighborhood needs to be restricted in some way. For example m > 0, b > 0, or sum of squares < 1.)

7 0

3 years ago

Which of the following is not true for a firm in perfect competition? Profit equals total revenue minus total cost. Average reve

kotegsom [21]

Answer: Second option is not true for a firm in perfect competition.

Step-by-step explanation:

We know that

In perfect competition, number of buyers and sellers are in large number, free entry and exit of firms, it sells homogenous products and can't earn abnormal profit.

In this competition, "Firm is the price taker, industry is the price maker".

and AR = MR as there is constant price fixed by the industry.

Hence, Second option is not true for a firm in perfect competition.

4 0

3 years ago

Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 o

Irina-Kira [14]

Answer:

$P(X < 12) = 0.3660$