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3241004551 [841]
3 years ago
8

What is the following product?

Mathematics
1 answer:
Aneli [31]3 years ago
4 0
Your correct it’s the first one
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BRAINLIEST AND FIVE STARS TO CORRECT ANSWER
Llana [10]
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!
8 0
3 years ago
Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale
natali 33 [55]

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

7 0
3 years ago
Base of triangle exceeds the height by 4. If the area is 178.5 square inches, find the length of the base and the height of the
xxMikexx [17]
Area of a triangle:
A= (1/2)(bh)

In this problem we are given:
A= 178.5 in^{2}
b= h+4 in
h= UNKNOWN ("h")

Plug in our values into the area equation and solve for "h":
A= \frac{1}{2} bh
178.5 = \frac{1}{2} ((h+4)h) (multiply each side by 2 to get rid of the 1/2)
357 =  ((h+4)h)
357 =  h^{2} +4h
0=  h^{2} +4h -357
(357/21=17)
0= (h+21)(h-17) (solve both inequalities separately)

0= (h+21)
-21= h ( a negative height is not possible so, this answer is incorrect.)

0=(h-17)
h=17 in

Answer: base = (h+4)= (17+ 4) b= 21 in h= 17in


Please comment with any further questions! :)

5 0
3 years ago
Help me i give 15 points
Alinara [238K]

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.

3 0
4 years ago
Factor by grouping : xy + 6y - 2x - 12 (if you don't know the answer don't comment)
alexira [117]
<h3> Hey There today we will solve your problem</h3>

First we will factor out y from xy+6y which gives us y(x+6)

Next we will factor out -2 from -2x-12 which gives us -2(x+6)

This gives us the equation

y(x+6)-2(x+6)

then factor out the common term  x+6<em> and we get</em>

<em />\left(x+6\right)\left(y-2\right)

6 0
3 years ago
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