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jok3333 [9.3K]
3 years ago
12

Choose the equation below that represents the line passing through the point -3, -1 with a slope of 4

Mathematics
2 answers:
andre [41]3 years ago
4 0

Answer:

Y=4x-5

Step-by-step explanation:

xz_007 [3.2K]3 years ago
3 0

Answer: y = 4x + 11

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

The given line passes through

(- 3, - 1) and the slope is 4

To determine the intercept, we would substitute x = - 3, y = - 1 and m= 4 into y = mx + c. It becomes

- 1 = - 3 × 4 + c

- 1 = - 12 + c

c = - 1 + 12

c = 11

The equation becomes

y = 4x + 11

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Given the exact value for sides a and c.
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Answer:

See below

Step-by-step explanation:

a =  15 sqrt 2   sin 45

   = 15 sqrt 2  * sqrt( 2 ) /2  = 15 * 2 /2 = 15

sin 60 = a/c

sqrt(3)/2 = 15/c

   c =   15 / ( sqrt(3)/2) = 30 / sqrt 3 = 30 sqrt 3 /3 = 10 sqrt 3

5 0
2 years ago
A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measurin
Ratling [72]

Answer:

The standard deviation of weight for this species of cockroaches is 4.62.

Step-by-step explanation:

Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

To find : What is the approximate standard deviation of weight for this species of cockroaches?

Solution :

We have given,

Mean \mu=50

The sample mean x=55

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The total probability needs to sum up to 1,

P(X\leq 55)=1-P(X>55)

P(X\leq 55)=1-0.14

P(X\leq 55)=0.86

The z-score value of 0.86 using z-score table is z=1.08.

Applying z-score formula,

z=\frac{x-\mu}{\sigma}

Where, \sigma is standard deviation

Substitute the values,

z=\frac{x-\mu}{\sigma}

1.08=\frac{55-50}{\sigma}

1.08=\frac{5}{\sigma}

\sigma=\frac{5}{1.08}

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The standard deviation of weight for this species of cockroaches is 4.62.

4 0
3 years ago
Expand the expression 4(x-5)
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Answer:

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Step-by-step explanation:

5 0
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What is the perimeter of the rectangle?
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3 years ago
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A piece of ribbon is cut into 3 different pieces A, B and C. The ratio of the length of A to the length of B is 3 : 4. The ratio
dusya [7]

Answer:

Step-by-step explanation:

\frac{A}{B}:\frac{3}{4}   and   \frac{B}{C}: \frac{8}{9}  and we are told that C is 6cm longer than A.  That means that C = A + 6.

We are going to cross multiply each one of those ratios.  The first one gives us

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Now we will solve the first equation above for A:

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Now that we know B, we can use it to solve for A:

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A = 12.

Then we can use that all the way back in the expression we set up for C:

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C = 12 + 6 so

C = 18

12 + 16 + 18 is the length of the string: 46cm

3 0
3 years ago
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