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professor190 [17]
3 years ago
12

​What is the equation of a line with a slope of ​ ​ −4 ​ ​ and a point ​ (−2, 5) ​ on the line?

Mathematics
1 answer:
Schach [20]3 years ago
4 0
We will use the slope-intercept form, y = mx + b, that the problem asks for.

y = mx + b

m = slope
We are given slope = -4, so we have m = -4, and we can already put that slope in the equation for m.

y = -4x + b

Now we need to find b, the y-intercept.
We are given point (-2, 5), so we have an x value of -2 and a y value of -5.
We plug in -2 for x and 5 for y in y = -4x + b, and we solve fro b, the y-intercept.

y = -4x + b

5 = -4(-2) + b

5 = 8 + b

b = -3

Now that we have b = -3, we replace b with -3.

y = -4x + b

y = -4x - 3

Answer: y = -4x - 3
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Which of these values of x is NOT a solution of the equation tanx= 1?
Kobotan [32]

The tangent ratio is an illustration of the trigonometry identity

The value of x that is not a solution of tan(x) = 1 is 3\pi/4

<h3>How to determine the value that is not a solution</h3>

The trigonometry identity is given as:

tan(x) = 1

Next, we test the x values using a calculator.

When x = -7\pi/4, we have:

tan(-7\pi/4) = 1

When x = 3\pi/4, we have:

tan(3\pi/4) = -1

When x = 5\pi/4, we have:

tan(5\pi/4) = 1

When x = \pi/4, we have:

tan(\pi/4) = 1

Hence, the value of x that is not a solution of tan(x) = 1 is 3\pi/4

Read more about trigonometry identity at:

brainly.com/question/7331447

5 0
2 years ago
What's the Sin 39 degrees?
yanalaym [24]
<span>Value of Sin(39 degree) = 0.62932039

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7 0
3 years ago
Fishermen fishing for spiny lobster are allowed to keep only lobsters with a carapace length of 3.25 inches or longer. (Than car
ser-zykov [4K]

Answer:

16%

Step-by-step explanation:

First we start by solving for the z score

We have the following information

x = 3.25

Standard deviation = sd = 2.25

Mean = 5.50

Z = (x - mean)/sd

z = 3.25 - 5.50/2 25

z = -1.00

If we look this up in the standard normal distribution table,

P(z<-1.00) = 0.1587

Which when approximated gives us

16%

Therefore approximately 16% of lobsters will have to be returned back to the sea.

4 0
3 years ago
What is this problem17-3(w+5)=6(w+5)-2w<br> Answer
Basile [38]

Answer:

w = -4

Step-by-step explanation:

Solve for w:

17 - 3 (w + 5) = 6 (w + 5) - 2 w

-3 (w + 5) = -3 w - 15:

-3 w - 15 + 17 = 6 (w + 5) - 2 w

Grouping like terms, -3 w - 15 + 17 = (17 - 15) - 3 w:

(17 - 15) - 3 w = 6 (w + 5) - 2 w

17 - 15 = 2:

2 - 3 w = 6 (w + 5) - 2 w

6 (w + 5) = 6 w + 30:

2 - 3 w = 6 w + 30 - 2 w

Grouping like terms, 6 w - 2 w + 30 = (6 w - 2 w) + 30:

2 - 3 w = (6 w - 2 w) + 30

6 w - 2 w = 4 w:

2 - 3 w = 4 w + 30

Subtract 4 w from both sides:

2 + (-3 w - 4 w) = (4 w - 4 w) + 30

-3 w - 4 w = -7 w:

-7 w + 2 = (4 w - 4 w) + 30

4 w - 4 w = 0:

2 - 7 w = 30

Subtract 2 from both sides:

(2 - 2) - 7 w = 30 - 2

2 - 2 = 0:

-7 w = 30 - 2

30 - 2 = 28:

-7 w = 28

Divide both sides of -7 w = 28 by -7:

(-7 w)/(-7) = 28/(-7)

(-7)/(-7) = 1:

w = 28/(-7)

The gcd of 28 and -7 is 7, so 28/(-7) = (7×4)/(7 (-1)) = 7/7×4/(-1) = 4/(-1):

w = 4/(-1)

Multiply numerator and denominator of 4/(-1) by -1:

Answer:  w = -4

6 0
4 years ago
CLICK TO SEE QUESTION (9th grade geometry; proportions)
katovenus [111]
3 1/8inches × 40 miles per inch on the map.

3 1/8 × 40 = 25/8 × 40 =
(40 × 8) + 25 = 320 + 25 =
345 miles from one city to the next
4 0
4 years ago
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