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Nina [5.8K]
3 years ago
7

Given the points A(3, 4) and B (6, 10), find the

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

P (5 , 8)

Step-by-step explanation:

P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1  ... a=2 , b=1

x = (bx₁ + ax₂) / (a+b)

  = (1 * 3 + 2 * 6) / (2 + 1)

  = 15/3

  = 5

y = (by₁ + ay₂) / (a+b)

  = (1 * 4 + 2 * 10) / (2 + 1)

  = 24/3

  = 8

P (5 , 8)

You might be interested in
Solve for x cos90=4/x
n200080 [17]

Answer:

<h2>no solution</h2>

Step-by-step explanation:

\text{We know:}\ \cos90^o=0.\\\\\text{Therefore}\\\\\cos90^o=\dfrac{4}{x}\to\dfrac{4}{x}=0\qquad\bold{FALSE}

7 0
3 years ago
21. In the figure given below, AC is parallel to DE. Find the valuesof xy and z and hence find the 2DBE.
algol13

Answer:

X= 50°

Y= 70°

Z= 30°

BDE= 30°

2BDE= 60°

Step-by-step explanation:

(2x -70 )+z+(2x+20)=180...(sum of angle on a straight line)

2x -70 = BDE... alternate angles

Y + (2x-70)+(50+x-20) = 180...(sum of angles in a triangle)

X-20 = z ... alternate and opposite angles

(2x -70 )+z+(2x-+20)=180

2x-70 + x-20 +2x +20= 180

5x -70= 180

5x = 250

X= 50°

X-20 = z

50-20= z

30° = z

2x -70 = BDE

2(50) -70 = BDE

100-70 = BDE

30°= BDE

Y + (2x-70)+(50+x-20)

Y + 100-70 +50 +50 -20 = 180

Y + 200-90=180

Y= 70°

2BDE = 2*30

2BDE= 60°

8 0
3 years ago
Based on the graph of the line below, which describes the relationship between the value of the y-intercept and the
stepan [7]

Answer:

y intercept = 3

m = \frac{1}{3} --- slope

Step-by-step explanation:

Given

The attached graph

Required

Determine the slope and the y intercept

The y\ intercept is at the point where x = 0.

From the graph:

y = 3;\ when\ x = 0

Hence,

y intercept = 3

Next, we calculate the slope using:

m = \frac{y_1 - y_2}{x_1 - x_2}

Where:

(x_1,y_1) = (0,3)

(x_2,y_2) = (9,6)

So, we have:

m = \frac{3 - 6}{0 - 9}

m = \frac{-3}{- 9}

m = \frac{3}{9}

m = \frac{1}{3}

6 0
3 years ago
A taxi ride costs $3.50 plus $2.50 per mile driven. If Sasha has $37 in cash , what is the greatest whole number of miles she ca
Margaret [11]
Create an equation for the total costs of driving x miles: 3.50 + 2.50x


since Sasha has $37, the equation would become: 3.50 + 2.50x = $37

subtract 3.50 from both sides: 2.50x = 33.50

divide 2.50 on both sides: x = 13.4


since the problem is asking for the greatest whole number of miles, you have to round down and the answer would be: 13 miles.
5 0
3 years ago
Read 2 more answers
HELP???
Bond [772]
25×(1−0.18)^(4)
=11.30

25*0.01=25(1-0.18)^t
0.25=25(0.82)^t
0.25/25=(0.82)^t
t=log(0.25/25)/log(0.82)
t=log(0.25÷25)÷log(0.82)
t=23.21 hours
3 0
3 years ago
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