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3 years ago

Can someone explain to me why this is right?

Mathematics

1 answer:

Flauer [41]3 years ago

3 0

Hello!

This is right because the goal of solving a quadratic equation is to isolate the variable and then solve it. First you multiply - 8/3 to both sides to isolate s and the you solve the equation by multiplying - 8/3 to - 6

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Please help. I don’t understand the problem.

Sauron [17]

Answer:

ASA

Step-by-step explanation:

ASA stands for Angle-Side-Angle which is the congruency theorem that states that if a triangle shares two congruent angles that have one line in between the two angles share a side length congruent to each other, then the two triangles are congruent.

Before you get very confused on the difference between AAS (Angle-Angle-Side) and ASA (Angle-Side-Angle), let explain why these two triangles are ASA.

We are given that both triangles share a similar side length at KL where they are connected. We are also given that angle ∠JKL is congruent to angle ∠MKL. We are also given that angle ∠MLK is congruent to angle ∠JLK.

The most important part after deciding all the relationships is given to us, it is deciding what kind of congruence theorem we will use. We are given the options:

SSS (Side-Side-Side)
SAS (Side-Angle-Side)
ASA (Angle-Side-Angle)
AAS (Angle-Angle-Side)
HL (Hypotenuse-Leg)

Because we are presented with two congruent angles and one congruent side, we know that this triangle congruency theorem is either ASA or AAS. To understand why these triangles are ASA, we have to look at where the two-given congruent sides are located. As we can see in the name and in our two triangles, the congruent side lengths are in between the two angles as it touches both angle ∠JKL and angle ∠JLK in triangle ΔJKL, while in on ΔMKL, the congruent side length is also found between angle ∠MLK and angle ∠MKL. So, these triangles share ASA because they share two congruent angles connected by one congruent line.

ORDER MATTERS WHEN YOU WRITE YOUR CONGRUENCY THEROMS

AAS is technically not the same as ASA and I will explain that in one moment.

An example of AAS is if instead being told that ∠JKL is congruent to angle ∠MKL, we are given that ∠KJL is congruent to angle ∠KML instead. now the congruent sides are not connected to angle ∠KJL or angle ∠KML. The side is no longer in-between the two congruent sides. The reason order matters here are because order matters between AAS and ASA because in another theorem, SAS, you will find out order matter because while SAS guaranties congruency SSA does not. Technically, though, while both AAS and ASA both guaranty congruency, they are labeled separately, the way the remaining congruency thermos are.

5 0

1 year ago

kevin uses a coupon for 75% off one item. he only pays $3.00 for a train set. how much money was the train set originally?

Natalka [10]

Answer:

$4.00

Step-by-step explanation:

75% of 4

75% × 4 =

75/100 × 4 =

(75 ÷ 100) × 4 =

75 × 4 ÷ 100 =

300 ÷ 100 =

= 3

Hope this helps.

3 0

3 years ago

In designing an experiment, the researcher can often choose many different levels of the various factors in order to try to find

artcher [175]

Answer:

a) 40 possible combinations

b) 8 possible combinations

Step-by-step explanation:

Given:

- Levels of temperature = 4

- Levels of catalysts = 2

- Levels of pressure = 5

Find:

To consider all possible combinations, how many experiments would need to be conducted?

With the three factors noted, how many experiments would need to be run to cover all possible combinations with each of the three factors at two levels?

Solution:

- We experiment each of the 3 factors to a certain level. So to conduct any experiment we have:

Temperature = 4C1 = 4 possibilities

Catalysts = 2C1 = 2 possibilities

Pressure = 5C1 = 5 possibilities.

- Hence, the total outcome for one particular experiment is a combination of all 3 factors possibility:

Total possible outcomes = 4*2*5 = 40 possible combinations

- Similarly if all factors are restricted to two levels only we have:

Temperature = 2C1 = 2 possibilities

Catalysts = 2C1 = 2 possibilities

Pressure = 2C1 = 2 possibilities.

- Hence, the total outcome for one particular experiment is a combination of all 3 factors possibility:

Total possible outcomes = 2*2*2 = 8 possible combinations

6 0

3 years ago

Evaluate the expression f ÷ g for f = 3 and g = 18.

Inessa [10]

$3/18$

$=1/6$

Hope this helps!

Thanks!

-Charlie

8 0

3 years ago

Read 2 more answers

Please HELP! How do I set the combination problem to solve this... Ten students ask to visit a college admissions counselor. Eac

solniwko [45]

Answer:

30240

Step-by-step explanation:

There are 10 possibilities for the first time slot.

After that, there are 9 possibilities for the second time slot.

So on and so forth.

The number of ways five time slots can be assigned is:

10×9×8×7×6 = 30240

Or, using permutation notation, ₁₀P₅.

4 0

4 years ago