4/? Is equivelantnto ?/9

Which of the following linear inequalities matches the given graph below?

frozen [14]

Answer:

O y > 4

Step-by-step explanation:

The dotted line indicates the line is not part of the inequality, and it is clearly greater than 4.

8 0

2 years ago

The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2

WITCHER [35]

Answer:

True

Step-by-step explanation:

$9x^2-12x +4 \\\\=(3x)^2 - 2\cdot 3x \cdot 2+2^2\\\\=(3x-2)^2$

4 0

2 years ago

[30 POINTS] Please help!!!

Len [333]

Answer:

Part 1) $y=1.5x+5$

Part 2) $y=-(2/3)x-(11/3)$

Part 3) $y=0.25x+2.75$

Part 4) $y=-2x+5$

Part 5) $y=0.5x-1$

Part 6) The graph in the attached figure

Step-by-step explanation:

Part 1) we have

$m=3/2=1.5$

$point(-2,2)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-2=1.5(x+2)$

$y=1.5x+3+2$

$y=1.5x+5$

Part 2) we know that

If two lines are perpendicular

then

the product of their slopes is equal to minus one

so

$m1*m2=-1$

the slope of the line 1 is equal to

$m1=1.5$

Find the slope m2

$1.5*m2=-1$

$m2=-2/3$

Find the equation of the line 2

we have

$m2=-2/3$

$point(-7,1)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-1=(-2/3)(x+7)$

$y=-(2/3)x-(14/3)+1$

$y=-(2/3)x-(11/3)$

Part 3) we have

$m=1/4=0.25$

$point(1,3)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y-3=0.25(x-1)$

$y=0.25x-0.25+3$

$y=0.25x+2.75$

Part 4) we have

$m=-2$

$b=5$ -----> y-intercept

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

substitute the values

$y=-2x+5$

Part 5) we have that

The slope of the line 4 is equal to $-2$

so

the slope of the line perpendicular to the line 4 is equal to

$-2*m=-1\\m=(1/2)=0.5$

therefore

in this problem we have

$m=0.5$

$point(-2,-2)$

The equation of the line into point slope form is equal to

$y-y1=m(x-x1)$

substitute

$y+2=0.5(x+2)$

$y=0.5x+1-2$

$y=0.5x-1$

Part 6)

using a graphing tool

see the attached figure

3 0

2 years ago

Can you conclude from the figure that ABC is similar to DEF? Explain.

pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

8 0

2 years ago

Help on this 3 questions pleaseeeee!!!!

ra1l [238]

Answer:

14. D

15. A

16. A

Step-by-step explanation:

14. Point slope form formula: y-y₁=m(x-x₁).

When graphing you always want to think x/y for your slope.

X-axis increases by 2 and the Y-axis increases by 10, which would make the slope (m) 2/10 = 1/5.

If your slope is does not come out correct, then you can prove your point.

15. The given information is (-2,2): m=-1.

Given the Point slope formula: y-y₁=m(x-x₁), you can replace m to -1, y₁=2 and x=+2. (Two negatives would make a positive.)

Your answer: y-2=-(x+2)

16. Given: y=4x-7; (3,0)

Parallels lines: Same slope different y-intercepts.

A and D has the same slope and different y-interecepts, but your answer would be A because the equation that was given as a negative y-intercepts.

6 0

3 years ago