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2 years ago

4. A straight line passes through points (3, 12) and (7,4). What is the equation of the line?

Mathematics

2 answers:

jeyben [28]2 years ago

6 0

Answer:

slope is -2 (-8/4)

point slope formula y=y1=m(x-x1) m slope (x1, y1) point

y-4=-2(x-7)

y=-2x+18

Arte-miy333 [17]2 years ago

4 0

Answer:

y=-2x+18

Step-by-step explanation:

Since the y-value is going down, we can assume that the line is going negative. As the midpoint is (5, 8), you should subtract 2 units from 3 and 4 units from 12 to get (1, 16) and therefore to get to (-1, 20), since the y-intercept is 18, the slope is 2, and it is going negative, your final answer is y=-2x+18.

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What is the perimeter of the triangle shown on the coordinate plane,to the nearest tenth of a unit ?

ollegr [7]

Answer:

25.6 units

Step-by-step explanation:

From the figure we can infer that our triangle has vertices A = (-5, 4), B = (1, 4), and C = (3, -4).

First thing we are doing is find the lengths of AB, BC, and AC using the distance formula:

$d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}$

where

$(x_1,y_1)$ are the coordinates of the first point

$(x_2,y_2)$ are the coordinates of the second point

- For AB:

$d=\sqrt{[1-(-5)]^{2}+(4-4)^2}$

$d=\sqrt{(1+5)^{2}+(0)^2}$

$d=\sqrt{(6)^{2}}$

$d=6$

- For BC:

$d=\sqrt{(3-1)^{2} +(-4-4)^{2}}$

$d=\sqrt{(2)^{2} +(-8)^{2}}$

$d=\sqrt{4+64}$

$d=\sqrt{68}$

$d=8.24$

- For AC:

$d=\sqrt{[3-(-5)]^{2} +(-4-4)^{2}}$

$d=\sqrt{(3+5)^{2} +(-8)^{2}}$

$d=\sqrt{(8)^{2} +64}$

$d=\sqrt{64+64}$

$d=\sqrt{128}$

$d=11.31$

Next, now that we have our lengths, we can add them to find the perimeter of our triangle:

$p=AB+BC+AC$

$p=6+8.24+11.31$

$p=25.55$

$p=25.6$

We can conclude that the perimeter of the triangle shown in the figure is 25.6 units.

6 0

3 years ago

They will rest after they hike `2` miles. Then they will hike the remaining `1.75` miles to the lookout. The trail the hikers wi

Lyrx [107]

Answer:

1.75 gallons

Step-by-step explanation:

First, we need to calculate how far the hike is going up the trail. They first hike 2 miles and then another 1.75 miles after resting so...

2 + 1.75 = 3.75 miles

The trail is 3.75 miles long, the question states that the return path is 0.5 miles shorter, therefore...

3.75 - 0.5 = 3.25 miles

Leaving us with a total hiking distance of

3.75 + 3.25 = 7 miles.

Since each hiker will carry 0.25 gallons for each mile we simply need to multiply this amount by the total number of miles in the hike.

7 * 0.25 = 1.75 gallons

Finally, we can see that each hiker will carry a total of 1.75 gallons of water for the entire hike.

8 0

2 years ago

Sam had X number of toys. He received five more for his birthday. He still has less than 24 toy cars. Which inequality correctly

Gre4nikov [31]

Ok! So basically it is really good

6 0

2 years ago

Read 2 more answers

The sum of a number and 3 is equal to 5 less than double that number. What is the number?

Ganezh [65]

Answer:

sum of a number 2 plus3 is equal to 5

and less than its double 2×2=4 so the answer is 2

3 0

2 years ago

Read 2 more answers

Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such

Harman [31]

Answer:

The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> 0.6-0.45)

√0.45*0.55/600

The right answer is B.

Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

standard deviation σ=√P(1-P)/n=√0.45(1-0.45)/600

If x≅N(u,σ∧∧-2), then z=(x-u)/σ≅N(0,1)

Now, P(P>0.6)=P(P-P > 0.6-0.45)

σ √0.45*0.55/600

=P(Z> 0.6-0.45)

√0.45*0.55/600

8 0

3 years ago