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kogti [31]
3 years ago
9

Hi! I need help with this problem! (screenshot below) Thanks! :D

Mathematics
2 answers:
LenaWriter [7]3 years ago
4 0
The slope is 1/2 and the Y intercept is -3, so the equation will be Y=1/2x-3
BigorU [14]3 years ago
3 0

Answer:

y = ½x - 3

Step-by-step explanation:

The question is asking for the line to be formatted in the y = mx + b format.

  • m is the slope of the line
  • b is the y intercept

For this question, the slope is 1/2, for every 1 unit the line goes up (rise), it goes 2 units forward (run). The y intercept is -3, hence the equation of the line is y = ½x - 3.

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A,B and C are the vertices of one triangle.
dsp73

Answer:


Step-by-step explanation:

Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.

To prove: DE is parallel to BC.

Construction: Join DE.

Proof: If we prove the basic proportionality theorem that is \frac{AD}{DB}=\frac{AE}{EC}, then it proves that DE is parallel to BC.

Now, Mid Point D has coordinates=(\frac{4+2}{2},\frac{6-2}{2})=(3,2) and Mid Point E has coordinates=(\frac{4-2}{2},\frac{6-4}{2})=(1,1)

Now, AD= \sqrt{(4-3)^{2}+(6-2)^{2}}=\sqrt{17}

DB=\sqrt{(3-2)^{2}+(2+2)^{2}}=\sqrt{17}

AE=\sqrt{(4-1)^{2}+(6-1)^{2}}=\sqrt{34}

EC=\sqrt{(1+2)^{2}+(1+4)^{2}}=\sqrt{34}

Now, \frac{AD}{DB}=\frac{AE}{EC}

=\frac{\sqrt{17}}{\sqrt{17}}=\frac{\sqrt{34}}{\sqrt{34}}=\frac{1}{1}

Hence, \frac{AD}{DB}=\frac{AE}{EC}

Thus, By basic proportionality theorem, DE is parallel to BC.

4 0
3 years ago
Read 2 more answers
Peanuts are sold in 8-ounce and 12-ounce packages.
allsm [11]

Answer:

C) 24

Step-by-step explanation:

8; 16 24 32 40 48

12; 24 36 48 69 72

They both have the common multiple of 24 and 48 in the intermediate multiplication since 24 is half of 48 and is the smallest multiple that is the answer.

6 0
2 years ago
Read 2 more answers
Which of the following must be equal to 30% of x?
Nimfa-mama [501]

Answer:

You can go ahead with option D

Step-by-step explanation:

<h2>30% of x will be 3x</h2>

5 0
3 years ago
Events A and B are independent. Find the missing probability. Enter your answer as a decimal rounded to two places.
Leya [2.2K]

ANSWER

P(not \: B) =  \frac{1}{4}

EXPLANATION

If A and B are independent events, then

P(A and B)=P(A)×P(B)

\frac{3}{10}  =  \frac{2}{5}  \times  \: P(B)

Multiply both sides by;

\frac{5}{2}

\frac{5}{2}  \times  \frac{3}{10}  =   \frac{5}{2}  \times \frac{2}{5}  \times  \: P(B)

\frac{3}{4}  =P(B)

P(not \: B) = 1 - P(B)

P(not \: B) = 1 - \frac{3}{4}

P(not \: B) =  \frac{1}{4}

6 0
3 years ago
Trevor tosses a coin then rolls a die
schepotkina [342]

The probability of tossing heads and not rolling 5 is 31/32.

Let us assume a coin is fair and 2-sided.

A coin usually flips heads or tails.

Then to flip heads or tails equals  1/2

​ Consider flipping a coin 5 times.

Since a coin flip has two outcomes, then a coin flip 5 times has 2

5 =32 outcomes.

We may show the outcomes, e.g. use sample space S.

Then (1)S=(H,H,H,H,H),(H,H,H,H,T),…,(T,H,H,H,H),(T,T,T,T,T)

It must follow ∣S∣=32.

A helpful way to see may be S=H, T 5=H, Tx…Hx, T.

<h3>What is the formula for probability?</h3>

P(S)=1-P(A)

If you see the complement of at least 1 tail means 0 tails or 5 heads, then we must surely see 1 outcome, e.g. all heads.

Then it must follow at least one tail that has 31 outcomes,e.g.32–1=31.

To find or compute the probability, then fevorable possible in outcomes.

It means 31/32,

P(E)=1– 32/1= 32/31

​To learn more about the probability visit:

brainly.com/question/24756209

#SPJ1

7 0
2 years ago
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