Mathematics, 31.07.2019 01:00 bear342

Abcd is a parallelogram with an and c diagonally opposite. the coordinates of a, b and c are (-3, -2), (1,-5), and (9,1) respectively. the sum of the coordinates of point d is

Answers: 1

Show answers

Answers

Answer from: kenzye32

Check the picture below.

in a parallelogram, there are two pairs of parallel sides, so in this case, namely since A and C are on opposite ends of the diagonal, that means that the segment AB is the one that's parallel to CD, and of course, AD is parallel to BC.

in order to maintain the same "slant" or slope, that way the sides are indeed parallel, since parallel sides have the same slant, we can just check how much is it horizontally from B to C, and then how much is it from there up to C, vertically.

if we move the same quantities horizontally and vertically, from A, we will end up at D, while maintaning the slant.

so... notice in the picture the blue distances from B up to C, we move that much in the red distances from A up to D.

what are the coordinates of D? well, ok, add them up.
Abcd is a parallelogram with an and c diagonally opposite. the coordinates of a, b and c are (-3, -2

Abcd is a parallelogram with an and c diagonally opposite. the coordinates of a, b and c are (-3, -2

Answer from: Quest

step-by-step explanation:

you are throwing one dart

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Another question on Mathematics

Mathematics, 21.06.2019 21:00

Which expressions are equivalent to -7+3(-4e-3)? choose all answers that apply: choose all answers that apply: a -4(3e+4)? 4(3e+4) b 12e12e c none of the above

Answers: 2

Answer

Mathematics, 21.06.2019 23:30

Robin spent 25% more time on his research project than he had planned he’s been an extra h ours on the project which of the following expressions could represent the number of hours rob actually spent on the project

Answers: 3

Answer

Mathematics, 22.06.2019 01:10

Is of - 4x + 2? a. 3 b. 4 c. 6 d. 5

Answers: 2

Answer

Mathematics, 22.06.2019 01:30

Aresearch study is done to find the average age of all u.s. factory workers. the researchers asked every factory worker in ohio what their birth year is. this research is an example of a census survey convenience sample simple random sample

Answers: 2

Answer

You know the right answer?

Abcd is a parallelogram with an and c diagonally opposite. the coordinates of a, b and c are (-3, -2...

Questions