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mihalych1998 [28]
3 years ago
7

The height of a triangle is (x - 2) centimeters. The base of the triangle is (x + 7)

Mathematics
2 answers:
likoan [24]3 years ago
3 0
Hmmm I’m not so sure
Musya8 [376]3 years ago
3 0

6cm

Step by step answer:

Area of a triangle = 1/2bh

(1/2)(6 - 2)(6 + 7) = 26

x = 6cm

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The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).
garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

f(x)=x^2+6x+3

g(x)=f(x-2)

g(x)=(x-2)^2+6(x-2)+3  (Replaced x in f with (x-2))

g(x)=x^2-4x+4+6x-12+3 (Used (x+b)^2=x^2+2bx+b^2 and distributive property)

g(x)=x^2-4x+6x+4-12+3 (Gathered like terms)

g(x)=x^2+2x-5  (Simplified)

The vertex of a parabola occurs at (\frac{-b}{2a},g(\frac{-b}{2a}).

Let's find \frac{-b}{2a} first.

\frac{-2}{2(1)}=-1

Now we can obtain g(\frac{-b}{2a}) which is g(-1) in this case:

g(x)=x^2+2x-5

g(-1)=(-1)^2+2(-1)-5

g(-1)=1-2-5

g(-1)=-1-5

g(-1)=-6.

The vertex is (-1,-6).

6 0
3 years ago
Left on together, the cold and hot water faucets of a certain bathtub take 8 minutes to fill the tub. If it takes the cold wate
MArishka [77]
Cf=cold faucet rate
hf=hot faucet rate

cf*18min=1 tub
(cf+hf)*8min=1 tub
cf+hf=1tub/8min
cf=1tub/18min
hf=(1/8-1/18)tubs per minute
hf=5/72

It takes 14.4 minutes.
7 0
3 years ago
(b) About what percentage of the states (out of 51) seem to have close to 800 licensed drivers per 1000 residents? (Round your a
Rina8888 [55]
This question uses a dotplot graph from which you have to extract the information.

I have attached the dotplot graph in a pdf file. You can open the file to see the graph if you do not have it.

The graph shows with dots (they use this mark +) the 51 states. Every dot means that one state has the number of license drivers per 1000 residents given by the line. For example, you can see that just above the mark of 700 therer are two dots, meaning that two states have 700 licensed drivers per 1000 residents.

Now you can see that there are 5 dots "close" the 800 mark.

That means that 5 out of 51 states "seem to have close to 800 licensed drivers per 1000 residents".

The percentage is calculated as [5/51]*100 = 9.804 %, which rounded to one decimal place is 9.8%.

Answer: 9.8%

 
Download pdf
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B6a%7D%7B%20%20-%201%7D%20%20%5Ctimes%20%5Cfrac%7B7%7D%7B%20-%209a%20%7B%7D%5E%7B2
lesya692 [45]

Answer:

14/3a²

Step-by-step explanation:

-6a × 7/-9a³

(7 × 6a) / 9a³

42a / 9a³

14a / 3a³

14/3a²

4 0
3 years ago
What are the values of x and y?
Olenka [21]
X=5.4 and Y=10.5.
Used the law of cosine equation, then SOHCAHTOA, and then Pythagorean theorem.
6 0
3 years ago
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