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3 years ago

The points (3, 12) and (2,8) form a proporitonal relationship. What is the slope of the line that passes through

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

8 0

Answer:

y=4x

Step-by-step explanation:

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Write and solve an equation for each problem situation. Define the variable

Simora [160]

Answer:

His weekly allowance is $5.50.

Step-by-step explanation:

12.03 - 6.53 = $5.50

I'm not 100% sure this is accurate. Good Luck!

8 0

2 years ago

3. What are the coordinates of the points of tangency of the two tangent lines through the point (1,1) each tangent to the circl

VashaNatasha [74]

Answer: $y+x=2$

Step-by-step explanation:

Given

equation of circle $x^2+y^2=1$

Equation of tangent passing through (1,1)

Slope of tangent is given by differentiating equation of circle

$2x+2y\frac{\mathrm{d} y}{\mathrm{d} x}=0$

$\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{-x}{y}$

at $(x,y)=(1,1)$

$\frac{\mathrm{d} y}{\mathrm{d} x}=\frac{-1}{1}$

Equation of line with slope

$m=\frac{y-y_0}{x-x_0}$

$-1=\frac{y-1}{x-1}$

$y+x=2$

7 0

2 years ago

Find the missing side length of the triangie.<br> 12 in.<br> 35 in.

OlgaM077 [116]

Answer:

Step-by-step explanation:

Right Scalene Triangle

Side a = 37

Side b = 12

Side c = 35

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 18.925° = 18°55'29" = 0.3303 rad

Angle ∠C = 71.075° = 71°4'31" = 1.2405 rad

C=71.075°B=18.925°A=90°b=12a=37c=35

Area = 210

Perimeter p = 84

Semiperimeter s = 42

Height ha = 11.35135

Height hb = 35

Height hc = 12

Median ma = 18.5

Median mb = 35.51056

Median mc = 21.2191

Inradius r = 5

Circumradius R = 18.5

Vertex coordinates: A[0, 0] B[35, 0] C[0, 12]

Centroid: [11.66667, 4]

Inscribed Circle Center: [5, 5]

Circumscribed Circle Center: [17.5, 6]

6 0

3 years ago

An automobile manufacturer claims that its car has a 35.935.9 miles/gallon (MPG) rating. An independent testing firm has been co

Serjik [45]

<h2>Answer with explanation:</h2>

Let $\mu$ be the population mean.

For the given claim , we have

Null hypothesis : $H_0: \mu=35.9$

Alternative hypothesis : $H_a: \mu\neq35.9$

Since alternative hypothesis is two-tailed , so the test is a two-tailed test.

Given : Sample size : n=220 ;

Sample mean: $\overline{x}=35.6$ ;

Standard deviation: $s=2.2$

Test statistic for population mean:

$z=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}$

$z=\dfrac{35.6-35.9}{\dfrac{2.2}{\sqrt{220}}}\approx-2.02$

By using the standard normal distribution table of z , we have

P-value ( two tailed test ) : $2P(Z>|z|)=2(1-P(Z$

$=2(1-P(z$

Since , the P-value is greater than the significance level of $\alpha=0.02$ , it means we do not have sufficient evidence to reject the null hypothesis.

5 0

3 years ago

Cooks used 75.75 pounds of shredded cheese to make the world's largest burrito. Estimate how many 10 pound boxes of shredded che

sasho [114]

The boxes are each 10 lbs so you have to round 75.75 to the nest tens place. which would be 80. So 8 boxes are needed

4 0

3 years ago