The line through (a,b) with slope m is
y-b = m(x-a)
Here that's
y + 1 = (3/4) (x - 2)
Let's multiply by 4 to clear the fractions and distribute the constants,
4y + 4 = 3x - 6
Rearranging into standard form,
3x - 4y = 10
Check. The slope is 3/4, good. 3(2) - 4(-1) = 6+4 = 10 good
Answer: 3x - 4y = 10
Answer:
46
Step-by-step explanation:
∠DAC ≅ ∠ACB because they are opposite interior angles where transversal AC crosses parallel lines BC and AD.
∠DAC ≅ ∠CAB because they are corresponding angles of the similar triangles ΔABC and ΔACD.
Hence ∠ACB ≅ ∠CAB and ΔABC is isosceles with side lengths both being 9. The corresponding side lengths of ΔACD are 12, meaning the base of ΔABC, segment AC, is 12. The scale factor of ΔACD to ΔABC is then 12:9 = 4:3, so the base AD of ΔACD is (4/3)×12 = 16.
So, the side lengths of the trapezoid are ...
- AB = 9
- BC = 9
- CD = 12
- DA = 16
and the perimeter is 9 +9 +12 +16 = 46 units.
Answer:
6 and 28
Step-by-step explanation:
Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.
Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.
1. 0.91<0.93; 0.91 is farther away from the whole number 1 so it is less than 0.93.
2. 0.5=0.50; 0.5 and 0.50 are the same, since the decimal can be written with or without the zero.
3. 1.08<1.6; 1.08 is farther away from the whole number 2, so it is less than 1.6.
21-6n+2(2n-5)-3n
First, multiply 2x2n and 2x-5
21-6n+4n-10-3n
Then rearrange the terms
4n-6n-3n+21-10
Then combine like terms
-5n+11
hope it helps!
