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3 years ago

1 What is the slope of the line that passes through (2, 2) and (5,4)?

Mathematics

1 answer:

Yanka [14]3 years ago

5 0

Answer:

The slope of the line= 2/3

Step-by-step explanation:

(2, 2)=(x, y) and (5, 4)=(`x, `y)

The formula for finding slope= `y-y/`x-x

4-2/5-2

2/3

Therefore, the slope=2/3

You might be interested in

Find a polynomial function of lowest degree with

ra1l [238]

Answer:

x^3-4x^2+25x-100

Step-by-step explanation:

We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root

Combining the roots into a polynomial gives us:

(x+5i)(x-5i)(x-4)

Expand:

(x^2 + 25)(x-4)

x^3-4x^2+25x-100

8 0

1 year ago

Natalie went to the shoe store and bought two pairs of sneakers. One pair was $35.60, and the other was $49.95. If she has $100.

Contact [7]

First you need to add the prices to get 85.55. Then 100 - 85.55 is 14.45.

She will have $14.45 leftover

6 0

3 years ago

Read 2 more answers

Find the midpoint of PQ<br><br> P(4 1/3, 3 1/6), Q(-2 1/5, 3 2/3)

Paha777 [63]

Answer:

$(1\frac{1}{15},3\frac{5}{12})$

Step-by-step explanation:

To find the midpoint, you must average the x's then average the y's.

So the x's are $4 \frac{1}{3}$ and $-2\frac{1}{5}$ .

The y's are $3\frac{1}{6}$ and $3\frac{2}{3}$ .

To find an average of a data with 2 elements you must add the two elements then take that sum and divide it by 2.

So this is what we will do with the x's then the y's.

So first x:

$\frac{4\frac{1}{3}+-2\frac{1}{5}}{2}$

Write as improper fractions:

$\frac{\frac{13}{3}+\frac{-11}{5}}{2}$

Division by 2 is the same as multiplying by 1/2:

$\frac{13}{6}+\frac{-11}{10}$

The least common multiple of 6 and 10 is 30. We will multiply first fraction by 5/5 and 3/3 for the second so we can have the same denominator.

$\frac{65}{30}+\frac{-33}{30}$

Now that the bottoms are the same we can write as one fraction:

$\frac{65+-33}{30}$

Simplify:

$\frac{32}{30}$

If you want the answer as a mix fraction like your question began as we can do that by first figuring out how many 30's are in 32 and what is the remainder of that division.

There is one 30 and 32 and so 32-30=2 is the remainder.

$1\frac{2}{30}$

Reduce by dividing top and bottom by 2:

$1\frac{1}{15}$

Now for y:

$\frac{3\frac{1}{6}+3\frac{2}{3}}{2}$

Write the mix fractions as improper fractions:

$\frac{\frac{19}{6}+\frac{11}{3}}{2}$

Dividing by 2 is the same as multiplying by 1/2:

$\frac{19}{12}+\frac{11}{6}$

The least common multiple of 12 and 6 is 12 so I'm going to multiply the second fraction by 2/2 so the denominators will be the same:

$\frac{19}{12}+\frac{22}{12}$

Since the denominators are the same we can write as a single fraction:

$\frac{41}{12}$

How many 12's are in 41? 3 and so the remainder is 41-3(12)=41-36=5.

$3\frac{5}{12}$

So the midpoint is:

$(1\frac{1}{15},3\frac{5}{12})$ .

6 0

3 years ago

Read 2 more answers

A triangle was dilated by a scale factor of 6. If sin aº

Pavlova-9 [17]

Answer:

24 units

Step-by-step explanation:

A triangle was dilated by a scale factor of 6. If sin a° = four fifths and segment DE measures 30 units, how long is segment EF?

triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees

15.5 units

24 units

30 units

37.5 units

From the description:

angle D measures a degrees

opposite to angle D is side EF

side DE (which measures 30 units) is the hypotenuse of the triangle.

We also know that

$\sin (a) = \frac{4}{5}$

$\sin (a) = \frac{opposite}{hypotenuse}$

From definition:

$\sin (a) = \frac{opposite}{hypotenuse}$

Replacing:

$\frac{4}{5} =\frac{ EF}{DE} \\\\EF = \frac{4}{5} *DE\\\\EF = \frac{4}{5} *30 \\\\= 24 units$

8 0

3 years ago

A club sold $555 worth of

anastassius [24]

Answer:

111

Step-by-step explanation:

$555 ÷ $5 = 111

sorry I'm not good at explaining

6 0

3 years ago

Read 2 more answers