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4 years ago

A line contains the points (8, 5) and (6, 15).

Mathematics

1 answer:

Olenka [21]4 years ago

3 0

Answer: -5

Step-by-step explanation:

The formula for calculating the slope of a line is given as :

m=\frac{y_{2} }{x_{2}} - \frac{y_{1}}{x_{1}}

$x_{1}$ = 8

$x_{2}$ = 6

$y_{1}$ = 5

$y_{2}$ = 15

substituting into the formula , we have

m = $\frac{15-5}{6-8}$

m = $\frac{10}{-2}$

m = -5

Therefore the slope is -5

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aylor and Natsumi are making block towers out of large and small blocks. They are stacking the blocks on top of each other in a

frozen [14]

Answer:

The height of a large block is of 12.1 inches and of a small block is of 7.7 inches.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x i the height of a large block.

y is the height of a small block.

Taylor uses 4 large blocks and 2 small blocks to make a tower 63.8 inches tall.

This means that:

$4x + 2y = 63.8$

Simplifying by 2:

$2x + y = 31.9$

$y = 31.9 - 2x$

Natsumi uses 9 large blocks and 4 small blocks to make a tower 139.8 inches tall.

This means that:

$9x + 4y = 139.8$

Since $y = 31.9 - 2x$

$9x + 4(31.9 - 2x) = 139.8$

$9x + 127.6 - 8x = 139.8$

$x = 12.1$

$y = 31.9 - 2x = 31.9 - 2(12.1) = 7.7$

The height of a large block is of 12.1 inches and of a small block is of 7.7 inches.

7 0

3 years ago

Let g be a vertical by a factor of 2, followed a translation 2 units up the graph of f(x)

choli [55]

Answer:

gggtt

Step-by-step explanation:

cfvcsdffdrresdffyyyeeerrf

7 0

4 years ago

How do I convert ''y - 3 = -5/3(x - 8)'' to standard form? Slope-Intercept to Standard form.

FrozenT [24]

Y-3=-5/3(x-8)
Y-3= -5/3x + 13 1/3
Y = -5/3x + 13 1/3 + 3
Y = -5/3 + 16 1/3

6 0

3 years ago

Read 2 more answers

In a basketball game, a regular basket is worth 2 points and a long distance basket is worth 3 points. There were 54 baskets in

Alla [95]

Answer:

The system of equations for the given situation is:

$x+y=54$

$2x+3y=118$

Step-by-step explanation:

Given:

Regular basket is worth = 2 points

Long distance basket is worth =3 points

Total baskets in a game = 54

Total points in total = 118

$x\rightarrow$ represents the number of regular baskets

$y\rightarrow$ represents the number of long distance baskets.

Expression for total baskets can be given by ⇒ $x+y$

Thus first equation representing total baskets in a game is given by:

$x+y=54$

Since a regular basket is worth 2 points

So $x$ regular baskets would be worth $=2x$ points

Since a long distance basket is worth 3 points

So $y$ long distance baskets would be worth $=3y$ points

Expression for total points in a game can be given by ⇒ $2x+3y$

Thus second equation representing total points in a game is given by:

$2x+3y=118$

∴ The system of equations for the given situation is:

$x+y=54$

$2x+3y=118$

3 0

3 years ago

2b) A farmer is building a pen inside a barn. The pen will be in the shape of a right triangle.

kenny6666 [7]

Answer:

Step-by-step explanation:

the sum of any two sides of a right triangle more than any other side

14+15>29, x is less than 29

14+x>15

x>1

15+x>14

x>-1

1<x<29

lets use Pythagorean Theorem

14^(2)+15^(2)=c^2

196+225=c^2

421=c^2

plusminus sqrt(421)=c

distance can't be negative, so:

c=sqrt(421)

c=20.5182845287

sqrt(421) is the largest possible right triangle side

1<x $\leq$ sqrt(421)

B) as we can see from above, the largest possible length of the third side is 14/sqrt(421) or about 20.5182845287ft

C)sqrt(421) by 14 by 15

tan(x1)=15/14

x1=tan^-1(15/14)

x1=47 degrees

tan(x2)=14/15

x2=tan^-1(14/15)

x2=43 degrees

7 0

3 years ago