The answer is the first option, <-20, -42>.
We can find this by first finding what -2u would equal by multiplying <5, 6> by -2. This gives us <-10, -12>.
Then we need to find out what 5v is equal to, by multiplying <-2, -6> by 5 to get <-10, -30>.
Now that we know what -2u and 5v are, we can substitute them into the equation and get
<-10, -12> + <-10, -30>, which we can split up into -10 - 10 = -20, and -12 - 30 = -42, so your final answer is <-20, -42>.
I hope this helps!
Answer:
150 ft²
Step-by-step explanation:
Area of trapezoid = ½(a + b)h
Where,
a = 24 ft
b = 24 + 12 = 36 ft
h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)
Plug in the values
Area of trapezoid = ½(24 + 36)*5
= ½(60)*5
Area of trapezoid = 150 ft²
Area of a triangle:
A= (1/2)(bh)
In this problem we are given:
A= 178.5
b= h+4 in
h= UNKNOWN ("h")
Plug in our values into the area equation and solve for "h":
(multiply each side by 2 to get rid of the 1/2)
(357/21=17)
(solve both inequalities separately)
( a negative height is not possible so, this answer is incorrect.)
Answer: base = (h+4)= (17+ 4)
b= 21 in h= 17inPlease comment with any further questions! :)
Annie's Attic does not have a proportional relationship but Bettie's Boutique does. The constant of proportionality at Betty's Boutique is 0.8.
Step-by-step explanation:
Step 1; To have a proportional relationship, if x's value varies, the y's value should also vary. If x increases, y increases correspondingly while if x decreases, y should also decrease.
Step 2; For Annie's Attic, the sale price = Original price - $5.
No matter what the value of the original price, there is only a difference of $5. Even if the price is increased to $100 the discount will only be $5. So this is not a proportional relationship.
Step 3; At Bettie's Boutique, they are having a 20% off sale. Whatever the cost, 20% is reduced. If bought for $15, price is $15 - 20% = $12. If bought for $25, the price will be $25 - 20% = $20.
If the original price is taken as x as the sale price is y, the relationship is given by; y = (100% - 20%) × x = 80% × x = 0.8 × x. So y = 0.8x. Here the constant of proportionality is 0.8.
<h3> Hey There today we will solve your problem</h3>
First we will factor out 
from 
which gives us 
Next we will factor out 
from 
which gives us 
This gives us the equation
then factor out the common term 
<em> and we get</em>
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