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3 years ago

What is the point-slope form of a line with slope -5 that contains the point

Mathematics

1 answer:

Rus_ich [418]3 years ago

8 0

Answer:

y + 1 - 5(x - 2)

Step-by-step explanation:

Borrow (2, -1): Substitute 2 for x and -1 for y, and -5 for m in y = mx + b:

-1 = -5(2) + b. Then b = 9, and the desired equation in point-slope form is:

y - (-1) = -5(x - 2), or

y + 1 - 5(x - 2)

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If you buy stocks for $20 per share and then sell it for $2 per share, what be the amount of the capital lost?

MissTica

I think $10 per share. it depends on how many shares you buy and sell

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3 years ago

On the day of his 18th birthday harry decided to start saving money regularly

Veseljchak [2.6K]

We have been given that on the day of his 18th birthday Harry decided to start saving money regularly . Starting on that day, he could save 30.00 on the same date every month. We are asked to find the amount saved by the day before Harry's 60th birthday.

First of all, we will find years from 18 years to 60 years.

$\text{Years}=60-18=42$

We know that 1 year equals 12 months.

$\text{42 years}=12\times 42\text{ Months}=504\text{ Months}$

To find total amount saved, we will multiply 504 months by amount saved per month.

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3 0

3 years ago

Amanda needs to make a garden plot which has an area less than 18 sq. feet. The length should be 3 feet longer than the width. W

SCORPION-xisa [38]

Answer:

Any width less than 3 feet

Step-by-step explanation:

Inequalities

The garden plot will have an area of less than 18 square feet. If L is the length of the garden plot and W is the width, the area is calculated by:

A = L.W

The first condition can be written as follows:

LW < 18

The length should be 3 feet longer than the width, thus:

L = W + 3

Substituting in the inequality:

(W + 3)W < 18

Operating and rearranging:

$W^2 + 3W - 18 < 0$

Factoring:

(W-3)(W+6)<0

Since W must be positive, the only restriction comes from:

W - 3 < 0

Or, equivalently:

W < 3

Since:

L = W + 3

W = L - 3

This means:

L - 3 < 3

L < 6

The width should be less than 3 feet and therefore the length will be less than 6 feet.

If the measures are whole numbers, the possible dimensions of the garden plot are:

W = 1 ft, L = 4 ft

W = 2 ft, L = 5 ft

Another solution would be (for non-integer numbers):

W = 2.5 ft, L = 5.5 ft

There are infinitely many possible combinations for W and L as real numbers.

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3 years ago

Put these numbers in order from least to greatest. 7, -1/4,-15/20

Agata [3.3K]

Answer:

The answer is -15/20, -1/4, 7. Thanks

8 0

3 years ago

Whoever can answer this will get brainlyest

azamat

Answer:

The proportion is $\frac{35}{108}$ = $\frac{x}{84}$ , and the length of the unknown side is $\frac{245}{9}$ or 27.22 approximately rounded to the nearest hundredth.

Step-by-step explanation:

Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is $\frac{35}{108}$ . MK and KF are corresponding sides, and their proportion is $\frac{x}{84}$ in which x represents the missing side. The proportions are equal, so $\frac{35}{108}$ = $\frac{x}{84}$ . Multiply both sides by 84 to isolate the variable, and you'll get $x = \frac{35*84}{108}$ , which is $\frac{2940}{108}$ or $\frac{245}{9}$ .

6 0

3 years ago