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1 year ago

Given the points A (-4,-2) and B (4, 10), find the

Mathematics

1 answer:

mafiozo [28]1 year ago

8 0

Answer:

P = (2, 7)

Step-by-step explanation:

You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.

<h3>Equation for P</h3>

For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...

P = A +q(B -A) = (1 -q)A +qB

<h3>Application</h3>

For q = 3/4, the location of P is ...

P = (1 -3/4)A + 3/4B = (A +3B)/4

Using the given point coordinates, we have ...

P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4

P = (2, 7)

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Find four consecutive even integers such that the sum of the second and fourth and integer is one half times the sum of the firs

Artyom0805 [142]

Okay lets create an eqn from that information

A first int, B second int, C third int, D fourth int.

B = A + 2
C = A + 4
D = A + 6
A is the smallest integer

B + D = 0.5 (A + C)

Now lets substitute

(A + 2) + (A + 6) = 0.5(A + (A + 4))
now lets dist

2a + 8 = 0.5(2a +4)
2a + 8 = a + 2
a + 8 = 2
a = -6

B = -6 +2
B = -4
C = -6 + 4
C = -2
D = -6 + 6
D = 0

Now using B + D = 0.5(A + C)
-4 + 0 = 0.5(-6 + (-2))
-4 = 0.5 (-8)
-4 = -4

Correct
Therefore, First integer is -6, second integer is -4, third integer is -2 and fourth integer is 0

8 0

3 years ago

A number equals six less than four times a number. What is the number?

WITCHER [35]

Answer:

1.5

Step-by-step explanation:

set x = 6

and x less than four time of 6

it may mean 6÷4

6÷4 = 1.5 #

7 0

3 years ago

Convert 39°C to degrees Fahrenheit.

posledela

Given a temperature C in celsius, you can convert it to Fahrenheit by using the formula

$F=32 + \dfrac{9C}{5}$

In your case C=39, so you have

$F = 32 + \dfrac{9\cdot 39}{5} = 32+70.2=102.2$

6 0

2 years ago

Someone please help I need this as fast as possible<br> GIVING 20 POINTS

baherus [9]

Answer
(10x+15) + (5x)=180
X=11

4 0

3 years ago

PLEASE SOLVE!! DUE RIGHT NOW!!! WILL MARK BRAINLIEST IF ANSWERED AND CORRECT!!!!!

Agata [3.3K]

Step-by-step explanation:

a) The measure of angle 7 is also 47 degrees. We know this because angle 5 and angle 7 are vertical angles and vertical angles are always equal.

b and c) Since we know that a straight line has an angle of 180 degrees and that the sum of angle 5 and angle 6 will add to this, we can use that to find the value of x like this:

$47+2x-5=180\\47-5+2x=180\\42+2x=180\\42-42+2x=180-42\\2x=138\\\frac{2x}{2} =\frac{138}{2} \\x=69$

5 0

2 years ago