Answer: it’s -2,-4
Step-by-step explanation: since the dilation rule is 2/3 we take 2/3 of all the numbers. For example we took two thirds of -3 to get -2.
Answer:
x = 7
y = 8
Step-by-step explanation:
Since the shapes are similar then <B = <F and <A = <E
<B = <F so
10x + 65 = 135 subtract 65 from both sides
10x = 70 divide both sides by 10
x = 7
<A = <E so
4y - 4 = 28 add 4 to both sides
4y = 32 divide both sides by 4
y = 8
Answer:
x : y = 9 : 13
Step-by-step explanation:
Given that
3x - y : x + 2y = 2 : 5
Express the ratio in fractional form, that is
= 
( cross- multiply )
5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )
15x - 5y = 2x + 4y ( subtract 2x from both sides )
13x - 5y = 4y ( add 5y to both sides )
13x = 9y ( divide both sides by 13 )
x = 
y ( divide both sides by y )
= , that is
x : y = 9 : 13
Answer:
If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment. The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment. The monthly payment at 5.45% is $1,146.43, the monthly payment for 5.2% is $1,118.66. This is a difference of $27.77 per month. The 2 points will cost him $3,752.00. The question is asking how long will it take Dominic to re-coup his $3,752.00 if he saves $27.77 per month. Just divide the 2 numbers and you get 135.10 months. If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.
Step-by-step explanation:
Here is what the question is asking. If Dominic buys 2 points (2% of the loan value) he will get a better rate and hence less payment. The question is asking how long will it take him to save the initial investment of 2% of the loan value due to a smaller payment. The monthly payment at 5.45% is $1,146.43, the monthly payment for 5.2% is $1,118.66. This is a difference of $27.77 per month. The 2 points will cost him $3,752.00. The question is asking how long will it take Dominic to re-coup his $3,752.00 if he saves $27.77 per month. Just divide the 2 numbers and you get 135.10 months. If you divide that by 12 you get 11.26 years, which is roughly 11 years, 4 months.
Word Form:
Two and fifty-one hundredths
Expanded Form:
2 + 0.5 + 0.01
Hope I Helped You!!! :-)
Have A Good Day!!!
