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Leya [2.2K]
1 year ago
13

What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4

Mathematics
1 answer:
bija089 [108]1 year ago
3 0

Answer:

(x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)

Step by step explanation:

y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2

\text{Substitute x = 0 in eq (i):}\\\\y = 0^2 +4 = 4\\\\\text{Substitute x = 2 in eq (i):}\\\\y=2^2+4 = 4+4 = 8\\\\\text{Hence,}~ (x,y)= \{(2,8), (0,4)\}

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kari74 [83]

Answer:

$10.17

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1 year ago
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm. What is NS? 5 cm 10 cm 20 cm 30 cm
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Answer:

20 cm

Step-by-step explanation:

∵ S is the centroid of ΔNLM

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∴SQ = 1/2 NS

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3 years ago
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Can someone pls help me with this !
Vadim26 [7]

Using a line of best fit, the predicted tsunami speed for the following depths is given by:

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<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points (depth, velocity) are given by:

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More can be learned about a line of best fit at brainly.com/question/13203683

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