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3 years ago

Anyone can help me with this question ?

Mathematics

1 answer:

Umnica [9.8K]3 years ago

4 0

11. As the number 11 there is only extended. If it is wrong, don't come blaming me!!

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What is the equation of the line that is parallel to the line y = - 1/3x + 4 and passes through the point (6, 5)?

Lostsunrise [7]

Answer:

$y=-\frac{1}{3}x+7$

Step-by-step explanation:

we know that

If two lines are parallel then their slopes are equal

The equation of the given line is

$y=-\frac{1}{3}x+4$

the slope is $m=-\frac{1}{3}$

the slope of the parallel line to the given line is also $m=-\frac{1}{3}$

Find the equation of the line that is parallel to the given line and passes through the point (6, 5)

we have

$m=-\frac{1}{3}$

$point\ (6,5)$

The equation of the line in point slope form is

$y-y1=m(x-x1)$

substitute

$y-5=-\frac{1}{3}(x-6)$

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-5=-\frac{1}{3}x+2$

$y=-\frac{1}{3}x+2+5$

$y=-\frac{1}{3}x+7$

7 0

3 years ago

Emilio’s family volunteers at the local soup

Mice21 [21]

Answer:

Emilio will have both activities again on the same day after 90 days from this Saturday.

Step-by-step explanation:

<em>To solve this question list the multiples of 30 and 9 to find the first common multiple because the two activities will happen again in </em><em>a number divisible by both 30 and 9.</em>

∵ The multiples of 30 are: 30, 60, 90, 120, ............

∵ The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, .....

→ The common multiple is 90

∴ The common multiple of 30 and 9 is 90

→ That means the activities will meet again after 90 days from

this Saturday

Emilio will have both activities again on the same day after 90 days from this Saturday.

8 0

3 years ago

5(m+4)=-2(-4-m)+3<br> help please

Degger [83]

Answer:

m = -3

Step-by-step explanation:

5m + 20 = 8 + 2m +3

5m + 20 = 11 +2m

3m + 20 = 11

3m = -9

m = -3

3 0

3 years ago

Which equivalent fractions can you use to find the sum of 2/8 + 3/9?

sattari [20]

You can you 72 which would make 2/8 18/72 and 3/9 24/72 which makes the sum 42/72.

7 0

3 years ago

Two sides of an acute triangle meaure 5 inches and 8 inches. The length of the longest side is unknown. What is the greatest pos

gladu [14]

The greatest whole possible whole number length of the unknown side is 9 inches.

<h3>How to identify if a triangle is acute?</h3>

Let us have:

H = biggest side of the triangle

And let we get A and B as rest of the two sides.

Then we get:

$A^2 + B^2 < C^2$

then the triangle is acute

Two sides of an acute triangle measure as 5 inches and 8 inches

The length of the longest side is unknown.

We have to find the length of the unknown side

WE know that the longest side of any triangle is a hypotenuse

For an acute triangle we know:

$A^2 + B^2 < C^2$

Here in this sum,

a = 5 inches

b = 8 inches

c = ?

Substituting we get,

$A^2 + B^2 < C^2\\\\5^2 + 8^2 < C^2\\\\25 + 64= C^2$

c < 9

Hence, The greatest whole possible whole number length of the unknown side is 9 inches.

Learn more about angles;

brainly.com/question/14489478

#SPJ1

3 0

2 years ago