25 POINTS! What is the distance between the points (2, 3) and (5, -4)? (XY AXIS)

2 answers:

8 0

$A=(2,3)\qquad\qquad B=(5,-4)\\\\\\d(A,B)=\sqrt{(5-2)^2+(-4-3)^2}=\sqrt{3^2+(-7)^2}=\sqrt{9+49}=\\\\=\boxed{\sqrt{58}\approx7.61}$

Finger [1]2 years ago

4 0

The distance could be calculated as follows:
d = $\sqrt{ (5-2)^{2} + (-4-3)^2} }$
d = $\sqrt{ 3^{2} + (-7)^{2}$
d = $\sqrt{58}$

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Mark is six years older than his brother Sam. The sum of their ages is 30. Let 'a' be Sam's age.

svlad2 [7]

Answer:

a = 12 years

Step-by-step explanation:

Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.

The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.

Mathematically this means a + a + 6 = 30

2a + 6 = 30

This is the equation needed to get a. To get a , we proceed to solve the equation to completion.

2a = 30 - 6

2a = 24

a = 24/2

a = 12

8 0

2 years ago

PLEASE HELP!!! I NEED THE ANSWER SOON :)

densk [106]

$y=2x \newline y= x^{2} -3$

Substitue 2x for y in the second equation:

$2x= x^{2} -3$

Rearrange to $a x^{2} +bx+c=0$ form:

$x^{2} -2x-3=0$

Factor:

$(x-3)(x+1)=0$

Zeros are $x=3$ and $x=-1$

To find y-coordinates of pts of intersection, plug these x-values into first equation to get $y=-2$ and $y=6$