Answer:
<em>The slope of the line would be</em><em> y=x-1</em>
Step-by-step explanation:
y=x-1
Subsite
3=4-1
3=3 <em>True,</em>
<em>Thus y=x-1</em>
Answer:
Answer:
The range is 15
Explanation:
The box and whisker plot is from 5 to 20
The range is:
20 - 5 =15
9514 1404 393
Answer:
5.2 in
Step-by-step explanation:
An equiangular triangle is also equilateral. All sides will be 6 inches, and the height line will be a perpendicular bisector of the side.
Using trig, the height is ...
(3 in)tan(60°) = 3√3 in ≈ 5.2 in
Using the Pythagorean theorem, ...
h² = 6² -3² = 27
h = √27 ≈ 5.2 . . . inches
Answer:
1. C. Yes, because a sum of cubes can be factored
2a. false
2b. false
2c. true
2d. false (based on what is written in the equation; refer to step-by-step)
Step-by-step explanation:
1. Both 3 and 8 can be cubed, which is why x^3+8 can be factored (x+2)(x^2-2x+4)
2a. a^2-b^2 can be factored by the perfect square rule, so it should be (a-b)^2
2b. both terms are perfect squares, so you can factor, making it (a+b)(a-b)
2c. You can factor using the perfect square rule, making it (a+b)^2
2d. Most of what is in the equation is true, yet the correct solution would be (a-b)(a^2+ab+b^2)
2x -3y = 13
4x -y = -9
Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.
4x -y = -9 x -3 = -12x + 3y = 27
Now add this to the first equation:
2x -12x = -10x
-3y +3y = 0
13 +27 = 40
Now you have :
-10x = 40
Divide each side by -10:
x = 40 / -10
x = -4
Now you have a value for x, replace that into the first equation and solve for y:
2(-4) - 3y = 13
-8 - 3y = 13
Add 8 to both sides:
-3y = 21
Divide both sides by -3:
y = 21/-3
y = -7
Now you have X = -4 and y = -7
(-4,-7)
