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3 years ago

How many times does the line y=2 touch the graph? (Ensure to draw your line on the graph)* (1 Point) *

Mathematics

1 answer:

faust18 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

if you draw a line y=2 will touch the graph in 3 points

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Solve for x in the equation x^2-4x-9=29

Kipish [7]

X = 2 + √42,2- √42
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3 years ago

What is the solution to the system of equations? {x+2y=10y=12x+3

Marianna [84]

The solution to given system of equations are $(x,y) = (\frac{4}{25} , \frac{123}{25})$

Solution:

Given that we have to find solution to the system of equations

Given equations are:

x + 2y = 10 ------ eqn 1

y = 12x + 3 ------ eqn 2

We can solve the above equations by substitution method

Substitute eqn 2 in eqn 1

x + 2(12x + 3) = 10

x + 24x + 6 = 10

25x = 10 - 6

25x = 4

$x = \frac{4}{25}$

Substitute the above value of x in eqn 2

$y = 12(\frac{4}{25}) + 3\\\\y = \frac{48}{25} + 3\\\\y = \frac{48+75}{25}\\\\y = \frac{123}{25}$

Thus the solution to given system of equations are $(x,y) = (\frac{4}{25} , \frac{123}{25})$

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3 years ago

PROVE : sin^2(-300°).cos^2 (120)+ cos^2(-240 ).sin^2(390)=1/4

leva [86]

Step-by-step explanation:

$\sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4}$

$\sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30)$

$\frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4}$

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2 years ago

An environmental science teacher at a high school with a large population of students wanted to estimate the proportion of stude

AnnZ [28]

Answer:

60 students

Step-by-step explanation:

The confidence interval of a proportion is given by:

$p\pm z*\sqrt{\frac{p*(1-p)}{n} }$

Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.

If the confidence interval is from 0.584 to 0.816, then:

$p=\frac{0.584+0.816}{2}=0.7 \\0.816-0.584=2*(1.96*\sqrt{\frac{p*(1-p)}{n}}) \\0.116=1.96*\sqrt{\frac{0.7*(1-0.7)}{n}}\\n=16.8966^2*(0.7*0.3)\\n=60\ students$

60 students were in the sample.

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3 years ago

What is the length of EF in the right triangle below?

Vinil7 [7]

Your question does not give enough information for me to answer

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3 years ago

How many times does the line y=2 touch the graph? (Ensure to draw your line on the graph)* (1 Point) *​

How many times does the line y=2 touch the graph? (Ensure to draw your line on the graph)* (1 Point) *