Answer: y = 3x + 2
Step-by-step explanation: Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1
With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2
So y = 3x + 2
Answer:
b. -x^2 + 50 = 25
c. |2x| = 10
d. x < 0
e. 2x < 10
Step-by-step explanation:
x = -5
-(-5)² + 50
-25 + 50 = 25
|2(-5)| = |-10| = 10
-5 < 0
2(-5) = -10 < 10
Answer:
10 x 4
Step-by-step explanation:
what factors are there for 40?
1, 2, 5, 8, 10, 20, 40
A rectangle has 2 equal long sides and 2 equal short sides. The area is the short times the long.
10 plus 10 and 4 plus 4 equals 28. 4 x 10 equals 40.
Answer:
3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)
4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2
5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)
6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)
7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary
8. m∠2 = 64° ~ again, same side exterior angle theorem
