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adell [148]
3 years ago
12

Select the correct answer. What is the solution set of 4x = y and 2x2 − y = 0? {(0.5, -0.5), (2, -8)} {(0, 0), (2, 8)} {(1.5, 2)

, (8, 2)} {(-1.5, -2), (2, 8)}
Mathematics
1 answer:
Vesna [10]3 years ago
8 0
\left\{\begin{array}{ccc}4x=y&(1)\\2x^2-y=0&(2)\end{array}\right\\\\/\text{substitute (1) to (2)/}\\\\2x^2-4x=0\\2x(x-2)=0\iff 2x=0\ \vee x-2=0\\\\x=0\ \vee\ x=2\\\\for\ x=0\to y=4\cdot0=0\\for\ x=2\to y=4\cdot2=8\\\\(0;\ 0);\ (2;\ 8)\\\\Answer:\ \{(0;\ 0);\ (2;\ 8)\}


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The height of a triangle is twice the length of its base. The
lions [1.4K]

Answer:

height = 14.2 m , base = 7.1 m

Step-by-step explanation:

let the base be b then height h = 2b

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh

Here A = 50 , then

\frac{1}{2} × b × 2b = 50

b² = 50 ( take square root of both sides )

b = \sqrt{50} ≈ 7.1 ( to the nearest tenth )

Then base = 7.1 m and height = 2 × 7.1 = 14.2 m

6 0
2 years ago
1) What is 20% of 20?<br> 2) what is 15 is what percent of 30?<br> 3) 50 is 50% of what?
N76 [4]

Hi there!

The word "of" is the same thing as a multiplication sign.

1)

20% = 0.2

0.2 × 20 = 4


2)

? × 30 = 15

divide each side of the equation by 30

? = 0.5

0.5 = 50%


3)

50% = 0.5

0.5 × ? = 50

divide each side of the equation by 0.5

? = 100


There you go! I really hope this helped, if there's anything just let me know! :)

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2 years ago
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