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Olenka [21]
3 years ago
7

Is this equation a linear relation, and please solve the equation? -3x + 2y = 1

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0

Answer:

Step-by-step explanation:

It is a linear equation and the gradient equation is given as:

y=mx+c

Where m is the gradient and c is the y intercept

-3x+2y=1

2y=1+3x

Dividing all through by 2

y=1/2 + 3x/2

Therefore the gradient of this linear equation is 3/2 and the y intercept is 1/2

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Ellie drew ΔLMN, in which m∠LMN = 90°. She then drew ΔPQR, which was a dilation of ΔLMN by a scale factor of one half from the c
vaieri [72.5K]

Answer:

m∠P ≅ m∠L; this can be confirmed by translating point P to point L.

Step-by-step explanation:

Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:

∠L=∠P

∠Q=∠M

∠N=∠R

Since the 2nd triangle made from dilation, it should maintain its orientation.

Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.

Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.

Option 3 and 4 definitely wrong because it speaking about length, not the angle.

6 0
3 years ago
Read 2 more answers
Enguun earns $17 per hour tutoring student athletes at Brooklyn University. a) If Enguun tutored for 12 hours this month, how mu
Sati [7]

Answer: a) $204 b) $331.50

Step-by-step explanation: a) 17 x 12 b) 17 x 19.5 (Sorry, I can't do a diagram, you have to do it by yourself...)

6 0
3 years ago
At silver gym membership is $25 per month ,and personal training session are $30 each. At fit factor , membership is $65 per mon
frosja888 [35]
If you are solving for x than the answer would be x=4.
8 0
3 years ago
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the height of a cylinder is three times the diameter of the base . The surface area of thre ylinder is 126pi ft^2. What is thr r
Over [174]
The answer is 3 ft

The surface area (SA) of a cylinder with radius r and height h is:
SA = 2πr² + 2πrh = π(2r² + 2rh)

We have:
SA = 126π ft²
h = 3 * d
d = 2r
h = 3 * 2r = 6r

126π = π(2r² + 2rh)
126 = 2r² + 2rh
126 = 2r² + 2r * 6r
126 = 2r² + 12r²
126 = 14r²
r² = 126/14
r² = 9
r = √9
r = 3
8 0
3 years ago
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Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and
sergij07 [2.7K]

Answer:

a) sample size is 40

Step-by-step explanation:

(a)

\sigma=4 minutes

Margin of error, E is 75 seconds E=75/60= 1.25 minutes.

The level of significance \alpha= 0.05 for 95% level of significance

For 95% confidence interval z_{\frac{\alpha}{2}}=1.96 from standard deviation table

Sample size required, n

n=\left (\frac{z_{\frac{\alpha}{2}}\cdot \sigma}{E} \right )^{2}=\left (\frac{1.96\cdot4}{75/60} \right )^{2}=39.337984

Rounding off, n=40

Sample size =40

Keywords:

95% confidence, sample size, Wall Street Journal

3 0
3 years ago
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