All categories

4 years ago

What is the distance between the points (3, -18) and (3, 9)?

Mathematics

1 answer:

boyakko [2]4 years ago

4 0

Answer:

The distance is 27.

Step-by-step explanation:

Distance formula: $\sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2 }$

Plug in the points: $\sqrt{(3-3)^{2}+(9-(-18))^2 } = \sqrt{(0)^{2}+(27)^2 } = \sqrt{(27)^{2} } = 27$

You might be interested in

What happened to the tutors?

saveliy_v [14]

Answer:

The Tudor ended when Henry's grand daughter Elizabeth I died

Step-by-step explanation:

7 0

3 years ago

Given that RT - WX, which statement must be true?

Andrei [34K]

Answer:

Since RT ≅ WX, RT and WX are congruent; in other words they are completely equal for all purposes. Given that, we can substitute RT with WX in the equations and solve them to check which one is valid. The valid equation will be to true statement.

Step-by-step explanation:

For RT + TW = WX + TW

Step 1 replace RT with WX

RT + TW = WX + TW

WX + TW = WX + TW

Step 2 subtract TW from both sides of the equation

WX + TW - TW= WX + TW -TW

WX = WX

Since RT ≅ WX, the equation WX = WX is valid because, as we stated before, RT and WX are completely equal, and thus, interchangeable.

We can conclude that the correct statement is: RT + TW = WX + TW

Since we already found the valid statement, we don't need to check the other ones, but lets do it just for fun:

For RT = 2(RX) and WX = 2(RX)

Step 1 replace RT with WX:

WX = 2(RX)

Since we don't know anything about RX, we can't conclude that RT = WX from the given statement. Therefore, we can't conclude that the statement must be true.

For RT + TW = RX

Step 1 replace RT with WX:

WX + TW = RX

Step 2 subtract TW from both sides:

WX + TW - TW = RX - TW

WX = RX - TW

Again, since we don't know anything about RX and TW, we can conclude that RT = WX from the given statement. . Therefore, we can't conclude that the statement must be true.

hpoe it helps...

5 0

3 years ago

Lydia uses 15 grams of protein powder to make a 22-ounce shake. She decides to make shakes for the week and plans to make 198 ou

max2010maxim [7]

We have been given that Lydia uses 15 grams of protein powder to make a 22-ounce shake. She decides to make shakes for the week and plans to make 198 ounces. We are asked to find the grams of protein powder Lydia will use.

We will use proportions to solve our given problem.

$\frac{\text{Amount of protein powder}}{\text{Amount of shake}}=\frac{15\text{grams}}{22\text{ ounces}}$

$\frac{\text{Amount of protein powder}}{\text{198 ounces}}=\frac{15\text{grams}}{22\text{ ounces}}$

$\frac{\text{Amount of protein powder}}{\text{198 ounces}}\times \text{198 ounces}=\frac{15\text{grams}}{22\text{ ounces}}\times \text{198 ounces}$

$\text{Amount of protein powder}=15\text{grams}\times 9$

$\text{Amount of protein powder}=135\text{ grams}$

Therefore, Lydia will use 135 grams of protein powder for the entire week.

3 0

4 years ago

Which of these strategies would eliminate a variable in the system of equations ?

Mrrafil [7]

Answer:

Step-by-step explanation:

I believe the answer is B because if we multiply the top equation by 6, we get 48x + 30y = -42, and if we multiply the bottom equation by -5, we get

35x - 30y = 20. So now, if we add it all together, then the positive 30y and negative 30y cancel out aka it equals 0, and thus the variable y is gone, satisfying the requirement that the problem asks for ("Which of these strategies would eliminate a variable...").

I hope this helped, and if it's correct, I'd appreciate if you marked my answer as Brainliest :)

7 0

4 years ago

Which law would you use to simplify the expression....

sammy [17]

Answer:

power of a power

Step-by-step explanation:

the power of a power law says that, "if a base raised to a power is being raised to another power, the exponents are multiplied and the base remains the same."

for example, for this problem, you would do:

$(x^4)^9\\= x^4^*^9\\= x^3^6$

5 0

2 years ago

What is the distance between the points (3, -18) and (3, 9)?​

What is the distance between the points (3, -18) and (3, 9)?