I dont know how to do this question i was asked to do on a test 3(w+3)-w

write an equation in slope intercept form for the line described. perpendicular to y = -1/2x + 2/3, passes through (2,3)

Alex17521 [72]

Step-by-step explanation:

Hey there!

Follow the steps to get answer.

Use one point formula and find 1st equation.
After that you find the slope of second equation.
Use the condition of perpendicular lines and find the slope of first equation.
Put slope value of equation in equation (i) and simplify them to get equation.

The equation of a line passing through point (2,3) is;

(y-3)= m1(x-2).......(i).

Another equation is;

$y = \frac{ - 1}{2} x + \frac{2}{3}$

2nd equation..

Now, From equation (ii)

We have;

Comparing equation (ii) with y = mx+c.

We get;

Slope = -1/2.

For perpendicular lines,

$m1 \times m2 = - 1$

$m1 \times \frac{ - 1}{2} = - 1$

Therefore the slope is 2.

Put value of slope (m1) in equation (i). We get;

$(y - 3) = 2(x - 2)$

Simplify them to get equation.

$(y - 3) = 2x - 4$

$y = 2x - 1$

Therefore the required equation is y = 2x-1.

Hope it helps..

4 0

3 years ago

9x-4 (x-3)+72 Find X A. 6 B. 12 C. 17 D. 19

Jet001 [13]

Answer:

c

Step-by-step explanation:

9x-4 (x-3)+72

9x-4x+12+72

5x+84

5x/5 + 84/5

x=17

3 0

3 years ago

Please help!! I need this soon!

chubhunter [2.5K]

Answer:

I cant see that far away.. Can you word it for me?

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Subtract. Write your answer in simplest form. 6 3/4 - 2 3/20 I need a mixed number

umka21 [38]

Answer:

4 3/5

Step-by-step explanation:

6 3/4-2 3/20=x

3/4=15/20

15/20-3/20=12/20=6/10=3/5

6-3=3+3/5=4 3/5

6 0

2 years ago

Read 2 more answers

A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race durin

Andrej [43]

Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))

z = 0.1/0.0543

z = 1.84

From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

3 0

3 years ago