What is part 4???????

Write an equation of a line in point-slope form that has a slope of -2 and passes through (5, -1).

gavmur [86]

Answer:

$y+1=-2(x-5)$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and the slope.

We will substitute $m=-2$ and $x_1=5\\y_1=-1$ .

$y-(-1)=-2 (x-5)$

$y+1=-2(x-5)$

This is the equation of the line with slope -2 that passes through (5,-1).

8 0

3 years ago

Apex Grocery wants to build a warehouse that is exactly five miles from each of the routes between stores L, M, and N. Which con

Elanso [62]

Answer: Option C - Construction Y because point E is the circumcentre of triangle LMN.

Point E is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.

Step-by-step explanation:

Before solving an algebra problem, it sometimes helps to get a geometric picture of what's happening. Geometry says that three points determine a circle - in other words, given three points that are not

all on the same line, there is exactly one circle which passes through all 3. Finding the point equidistant from the 3 points is the same thing as finding the center of the circle that passes through all of them (since all points on a circle are equidistant from the center).

Our points are L, M and N. Draw the lines LM, LN and MN to form a triangle. Now construct the perpendicular bisectors of any two of the lines, and their intersection, point E, will be the center of this circle.

As shown in the Construction Y because E is the circumcentre of triangle LMN.

This is the best location for the warehouse as it is exactly equidistant from the three stores at L, M and N.

QED!

5 0

3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

timurjin [86]

Answer:

f=22 degrees, g=89 degrees

step by step explaination:

When two lines are parallel to one another, and a line is drawn between them, any angle labeled will be equal to the angle on the opposite side of the middle line. This would make f=h, g=d, and even the angle 69 equal to angle e.

5 0

3 years ago

Simplify the expression(a4−6a2b2+ b4)−(−2a4+5a2b2+ 3b4) and hence, find its value for a = 2and b = −1.

ELEN [110]

Answer:

(a) $3a^4 - 11a^2b^2 -2b^4$