All categories

4 years ago

What is the answer to this algebra problem

Mathematics

2 answers:

Sergeu [11.5K]4 years ago

5 0

The problem said : -10,8 =-2 and -15,9=-6

kiruha [24]4 years ago

4 0

First find the slope of the two coordinates.

Slope is represented by the equation:

M = y2 - y1 / x2 - x1

Substitute in the coordinates.

M = 9 - 8 / -15 - (-10)

M = 9 - 8 / -15 + 10

M = 1 / -5

M = - 1/5

Then use the equation a line:

y - y1 = m(x - x1)

y - 8 = -1/5(x - (-10)

y - 8 = -1/5(x + 10)

y - 8 = -1/5x - 2

y = -1/5x + 6 is the solution

You might be interested in

An archer is able to hit the bull's-eye 53% of the time. If she shoots 10 arrows, what is the probability that she gets exactly

Vesnalui [34]

Answer:

P(x=4)=.2458

hope it helps!

6 0

3 years ago

find the coordinates of the point P on the parabola y=1-x^2 with domain 0≤x≤1 that minimize the area of the triangle enclosed by

coldgirl [10]

Let point P be with coordinates $(x_0,y_0).$ Find the equation of the tangent line.

1. If $y=1-x^2,$ then $y'=-2x.$

2. The equation of the tangent line at point P is

$y-y_0=-2x_0(x-x_0).$

Find x-intercept and y-intercept of this line:

when x=0, then $y=y_0+2x_0^2;$
when y=0, then $x=\dfrac{y_0}{2x_0}+x_0=\dfrac{y_0+2x_0^2}{2x_0}.$

The area of the triangle enclosed by the tangent line at P, the x-axis, and y-axis is

$A=\dfrac{1}{2}\cdot (2x_0^2+y_0)\cdot \left(\dfrac{y_0+2x_0^2}{2x_0}\right)=\dfrac{(y_0+2x_0^2)^2}{4x_0}.$

Since point P is on the parabola, then $y_0=1-x_0^2$ and

$A=\dfrac{(1-x_0^2+2x_0^2)^2}{4x_0}=\dfrac{(1+x_0^2)^2}{4x_0}.$

Find the derivative A':

$A'=\dfrac{2(1+x_0^2)\cdot 2x_0\cdot 4x_0-4(1+x_0^2)^2}{16x_0^2}=\dfrac{12x_0^4+8x_0^2-4}{16x_0^2}.$

Equate this derivative to 0, then

$12x_0^4+8x_0^2-4=0,\\ \\3x_0^4+2x_0^2-1=0,\\ \\D=2^2-4\cdot 3\cdot (-1)=16,\ \sqrt{D}=4,\\ \\x_0^2_{1,2}=\dfrac{-2\pm4}{6}=-1,\dfrac{1}{3},\\ \\x_0^2=\dfrac{1}{3}\Rightarrow x_0_{1,2}=\pm\dfrac{1}{\sqrt{3}}.$

And

$y_0=1-\left(\pm\dfrac{1}{\sqrt{3}}\right)^2=\dfrac{2}{3}.$

Answer: two points: $P_1\left(-\dfrac{1}{\sqrt{3}},\dfrac{2}{3}\right), P_2\left(\dfrac{1}{\sqrt{3}},\dfrac{2}{3}\right).$

6 0

3 years ago

PLEASE HELP ME FAST

Stells [14]

Step-by-step explanation:

answer--A (-2,0)

pls brain list

4 0

3 years ago

Lynn and Dawn tossed a coin 60 times and got heads 33 times. What is the experimental probability of tossing heads using Lynn an

kipiarov [429]

Based on the result of the girl experiment, we can predict that if the same coin is tossed again as an independent experiment,
The probability of getting a head again is simply 33/60

Hope this helps

8 0

3 years ago

Read 2 more answers

mc015-1.jpg has coordinates of A(–6, –7), B(4, –2), and C(0, 7). Find the coordinates of its image after a dilation centered at

Tasya [4]

A (-12, -14)
B (8, -4)
C(0, 14)

4 0

3 years ago