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3 years ago

Point slope question

Mathematics

1 answer:

Mariulka [41]3 years ago

4 0

Answer: (y + 3) = -1/3 (x - 2)

Step-by-step explanation:

Point-slope form has the form of

y - y1 = m (x - x1)

Where

y1 is the y-value of a point on the line

x1 is the x-value of a point on the line

m is the slope of the line

The problem already gives a point on the line, (2, -3)

(y + 3) = m (x - 2)

Remember to put the opposite value of the x and y values. (In other words, do NOT write (y - 3) = m (x + 2) )

The slope of a perpendicular line is the opposite reciprocal of slope of the line it is perpendicular to. The perpendicular line given in the equation is

3x - y = 4

When rearranged to slope-intercept form, we get

y = 3x - 4

Meaning the slope of the perpendicular line is 3. The opposite reciprocal of positive three is negative one-third. Therefore, the slope of the line we are solving for is -1/3.

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Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

sergeinik [125]

Take the first 2 and take out -7x2. bringing it to (-7x2)(x-3)+(3x-9)
then take out 3 on the right side.
-7x^2 (x-3)+3 (x-3)
factors to (3-7x2)(x-3)

4 0

3 years ago

Read 2 more answers

A broken calculator can double any number or permute its digits (but 0 cannot go up front). Can we start with number 1 and obtai

stira [4]

Answer: it's impossible to obtain 78

Step-by-step explanation: Since the calculator can double any number or permute its digits except 0

starting with number 1

1, 2, 4, 8, 16, 32, 64, 128

Therefore, it's impossible to obtain 78 by a series of these operations

8 0

3 years ago

Boxes of raisins are labled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is re

kati45 [8]

Answer:

The 99 % confidence interval on the basis of mean is ( 21.7393 ; 22.0257)

Step-by-step explanation:

Mean = Sum of observations / Number of observations

Mean = 21.88 +21.76 +22.14 +21.63+ 21.81 +22.12+ 21.97+ 21.57+ 21.75+ 21.96 +22.20 +21.80/ 12

Mean =x`= 262.59/12= 21.8825

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

∑x²/n= 478.7344 +473.4976 + 490.1796+467.8569+ 475.6761 + 489.2944+ 482.6809+ 465.2649+ 473.0625+ 482.2416 +492.84 + 475.24/ 12

∑x²/n= 5746.5689/12= 478.8807 = 478.881

Standard Deviation = s= ∑x²/n - ( ∑x/n)²

s= 478.881- (21.8825)²= 478.881-478.843= 0.037

The confidence limit 99% for the mean will be determined by

x` ± α(100-1) √s/n

Putting the values in the above equation

= 21.8825 ± 2.58 √0.037/12

Solving the square root

= 21.8825 ± 2.58 (0.05549)

Multiplying the square root with 2.58

=21.8825 ± 0.1432

Adding and subtracting would give

21.7393 ; 22.0257,

Hence the 99 % confidence interval on the basis of mean is ( 21.7393 ; 22.0257)

5 0

3 years ago

An isosceles trapazoid has base angles of 45 degrees and bases of lengths 9 and 15. The area of the trapazoid is what

lakkis [162]

Answer:

area of trapazoid= 1/2 × b× h

so = 1/2×9×15

=1/2×135

=67.5cm

6 0

2 years ago

The final cost of a sale item is determined by multiplying the price on the tag by 75%.which best describes the function that re

AnnZ [28]

Answer:

4V = 3U

Step-by-step explanation:

The final cost of a sale item is determined by multiplying the price on the tag by 75%.

Let us assume that the final cost of the sale item is V and the price on the tag is given by U.

Then the equation that best describes the function that represents the situation is $V = \frac{75U}{100} =\frac{3U}{4}$

⇒ 4V = 3U (Answer)

3 0

3 years ago