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2 years ago

!!!!Hurryy plz will give 20 points and brainlyest plzzzzzz!!!

Mathematics

2 answers:

evablogger [386]2 years ago

7 0

Answer:

Step-by-step explanation:

irakobra [83]2 years ago

5 0

Answer:

Step-by-step explanation:

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Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.

koban [17]

Answer:

$x^2 + 4x + y^2 +8y = 0$

Step-by-step explanation:

Given

$A = (-1,-2)$

$B = (2,4)$

$AP:BP = 1 : 2$

Required

The locus of P

$AP:BP = 1 : 2$

Express as fraction

$\frac{AP}{BP} = \frac{1}{2}$

Cross multiply

$2AP = BP$

Calculate AP and BP using the following distance formula:

$d = \sqrt{(x - x_1)^2 + (y - y_1)^2}$

So, we have:

$2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

$2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}$

Take square of both sides

$4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2$

Evaluate all squares

$4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16$

Collect and evaluate like terms

$4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20$

Open brackets

$4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20$

Collect like terms

$4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y + 20 - 20 = 0$

$3x^2 + 12x + 3y^2 +24y = 0$

Divide through by 3

$x^2 + 4x + y^2 +8y = 0$

3 0

2 years ago

I nee help. Can anyone help please.

Radda [10]

You have to take 60 degrees and add it to 90 degrees because that’s how much the box in the corner is worth

Then add those 2 together which is 150 after that’s subtract it by 270 which is 120

Answer: 120 degrees or 120

7 0

2 years ago

A recipe uses 5/8 cups of vegetable oil and 2 cups of water. Write the ratio of vegtable oil to water. THEN find the value of th

denis23 [38]

Answer:

5/8 : 2

Step-by-step explanation:

3 0

2 years ago

Find the probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events. Hint:

emmainna [20.7K]

Answer:

0.037

Step-by-step explanation:

If the hitter makes an out 72% of the time, then the probabilty that he makes hit in 1 at-bat is $p=0.72$ and the probabilty that he doesn't make hit in 1 at-bat is $q=1-p=1-0.72=0.28.$

The probability that the hitter makes 10 outs in 10 consecutive at-bats, assuming at-bats are independent events is

$P=p^{10}=(0.72)^{10}\approx 0.037.$

5 0

2 years ago

Analyze the diagram below and complete the instructions that follow.

lapo4ka [179]

Answer:

I've looked at this over and over the answer it's yes.

Step-by-step explanation:

3 0

3 years ago