Answer:
- <u>80 mi²</u>
- <u>63 in²</u>
- <u>32 m²</u>
- <u>44 cm²</u>
- <u>59.5 ft²</u>
- <u>48 km²</u>
Step-by-step explanation:
<u>Q1</u>
- 8 x 4 + 12 x 4
- 32 + 48
- <u>80 mi²</u>
<u>Q2</u>
- 5 x 3 + 12 x 4
- 15 + 48
- <u>63 in²</u>
<u>Q3</u>
- 4 x 2 + 8 x 3
- 8 + 24
- <u>32 m²</u>
<u>Q4</u>
- 10 x 4 + 2 x 2
- 40 + 4
- <u>44 cm²</u>
<u>Q5</u>
- 5 x 2 + 11 x 4.5
- 10 + 49.5
- <u>59.5 ft²</u>
<u>Q6</u>
- 3 x 1 + 9 x 5
- 3 + 45
- <u>48 km²</u>
9514 1404 393
Answer:
(d) y = -2x +8
Step-by-step explanation:
The parallel line will have the same x-coefficient, eliminating choices B and C. If it goes through point (4, 0), then (x, y) = (4, 0) will satisfy the equation.
A: 0 = -2(4) +4 = -4 . . . . . not true
D: 0 = -2(4) +8 . . . . . . . . true
The equation you're looking for is ...
y = -2x +8
__
<em>Additional comment</em>
Since you know the slope is -2 and a point on the line is (4, 0), you can use the point-slope form of the equation for a line as a starting point.
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For m = -2, and (h, k) = (4, 0), the equation becomes ...
y -0 = -2(x -4)
Simplified to slope-intercept form, this is ...
y = -2x +8
Answer:
x^3-4x^2+25x-100
Step-by-step explanation:
We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root
Combining the roots into a polynomial gives us:
(x+5i)(x-5i)(x-4)
Expand:
(x^2 + 25)(x-4)
x^3-4x^2+25x-100
True because 6 multiplied by 3 is 18. Therefore, when you divide 18 by 6 the anwser will be 3.