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4 years ago

Determine the equation of the line that has the same y-intercept as 2x + y + 6 = 0 and is perpendicular to the line on the grid

Mathematics

1 answer:

Sindrei [870]4 years ago

5 0

Answer:

y = 1/2x - 6

Step-by-step explanation:

Change 2x + y + 6 = 0 into slope intercept form (y = mx + b)

y = -2x + 6

The slope of a perpendicular line will be the opposite reciprocal of the slope given so -2 will change to 1/2

plug in the m (1/2) and the b (6) into y = mx + b

y = 1/2x - 6

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Write an equation of the line parallel to 3x + 5 = 2y that has a y-intercept of -1

denpristay [2]

Answer:

3x - 2 = 2y

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 5 = 2y into this form by dividing all terms by 2

$\frac{3}{2}$ x + $\frac{5}{2}$ = y ← in slope- intercept form

with slope m = $\frac{3}{2}$

Parallel lines have equal slopes and c = - 1, thus

y = $\frac{3}{2}$ x - 1 ← in slope- intercept form

Multiply through by 2

2y = 3x - 2 ← equation of line

8 0

3 years ago

If 19 out of 110 people say volleyball is their favorite sport, how many people could be expected to choose volleyball out of 33

Gemiola [76]

Set up a ratio.

x= unknown portion out of 330

19/110= x/330
cross multiply

110x= 19 * 330

110x= 6270
divide both sides by 110

x= 57

ANSWER: She could expect 57 out of 330 to choose volleyball

Hope this helps! :)

6 0

4 years ago

On average 83.1% of welds performed by a particular welder are defective. if, in one day, the welder creates three welds. what i

Nuetrik [128]

Let p be 0.831 denote the percentage of defective welds and q be 0.169 denote the percentage of non-defective welds.

Using the binomial distribution, we want all three to be defective.
$P(X = 3) = \binom{3}{3}(p)^{3}{q}^{3 - 3}$
$P(X = 3) = \binom{3}{3}(0.831)^{3}(1)$
$P(X = 3) = (0.831)^{3} \approx 0.573856191$

4 0

3 years ago

Can help for this questing <br><br> 1) 2)

Free_Kalibri [48]

Answer:

1. Median

2. Altitude

Step-by-step explanation:

Medians- Bisect the side (Split the side into two equal parts)

Altitude- Makes a right angle

1. Splits the side into two equal parts. Anwser: Median

2. Makes a right angle Answer: altitude

8 0

4 years ago

Alice purchased a cell phone for 30% off the original price. The sale price of the cell phone was $84. What was the original pri

VladimirAG [237]

Answer: $120

Step-by-step explanation: 30% off of 120 is 84

7 0

3 years ago