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Crank
2 years ago
5

Find the co-ordinates of a point which lies on the line joining M(7, -3) and N(-2,-5). If x ordinates of that point is 3.​

Mathematics
1 answer:
salantis [7]2 years ago
5 0

Answer:

(3, -3 8/9)

Step-by-step explanation:

Use a slope calculation or a graph to find the slope of the line.

m = (y-y)/(x-x)

m = (-3- -5)/(7- -2)

m = 2/9

Then write the equation of the line. I used point-slope form. (You could use y=mx+b, slope-intercept form, but you'd have to first calculate b as well)

Point-slope form:

y -Y = m(x-X)

y - -3 = 2/9(x- 7)

y + 3 = 2/9(x - 7)

We know the x-coordinate of the point we're looking for is 3. Fill that in as well and calculate the y that goes with it.

y + 3 = 2/9(3-7)

y+3=2/9(-4)

y = -8/9 - 3

y = -3 8/9

In decimal form this is -3.8888repeating

see image.

The point at x=3 on the line between M(7,-3) and N(-2,-5) is (3, -3 8/9).

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Answer:

$26.25

Step-by-step explanation:

We know that I = Prt where I = Interest, P = Principal, r = rate (as a decimal) and t = time (in years). Therefore:

I = 750 * 0.035 * 1 = $26.25

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4 years ago
What is 1/8 times 2/7 in simplest form
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Answer:

decimal form: 0.0357

fraction form: 375/10000

Step-by-step explanation:

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3 years ago
1. Graph the six terms of a finite series where a1 = 5 and r = 1.25.
rodikova [14]
For the answer to the question above, asking to g<span>raph the six terms of a finite series where a1 = 5 and r = 1.25.
I'll provide the answer with the solutions below.
</span>a1 = 5 
<span>a2 = 5*r = 5*(5/4) = 25/4 </span>
<span>a3 = 5*r² = 5*(5/4)² = 125/16 </span>
<span>a4 = 5*r³ = 5*(5/4)³ = 625/256 </span>
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</span>I hope this helps
3 0
3 years ago
Read 2 more answers
Lamar used a coordinate plane to show where his posters are displayed on his bedroom wall. Three posters are located at Q(4, 2),
iren2701 [21]

Answer:

Distance between the points Q and R is 1 unit while the distance between the points R and S is 3 units

Step-by-step explanation:

Here, we want to use the absolute value of the coordinates to find the distances.

Since we are using absolute values, the negative points becomes positive;

Thus;

Q = (4,2)

R = (3,2)

S = (3,5)

Mathematically, the distance between two points in the Cartesian plane can be calculated using the formula;

D = √(x2-x1)^2 + (y2-y1)^2

The distance QR is thus;

D = √(3-4)^2 + (2-2)^2

D = √(-1)^2 + 0

D = √1 = 1 unit

The distance RS is thus;

D = √(3-3)^2 + (5-2)^2

D = √(0) + (9)

D = √9 = 3 units

3 0
4 years ago
Statistics... Help!
Leokris [45]

Answer:

a) 0.5233 = 52.33% probability of picking someone who has the disease.

b) 0.9091 = 90.91% probability of picking someone who tests negative, given that he/she did not have the disease

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

a) What is the probability of picking someone who has the disease.

132 + 25 = 157 people have the disease

132 + 25 + 13 + 130 = 300 people total

157/300 = 0.5233

0.5233 = 52.33% probability of picking someone who has the disease.

b) What is the probability of picking someone who tests negative, given that he/she did not have the disease?

143 people did not have the disease.

130 tested negative. So

130/143 = 0.9091

0.9091 = 90.91% probability of picking someone who tests negative, given that he/she did not have the disease

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3 years ago
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