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Ierofanga [76]
1 year ago
11

A line passes through the points 3,10 and 6, 16 write the equation of this line in slope-intercept form

Mathematics
1 answer:
cluponka [151]1 year ago
4 0

(\stackrel{x_1}{3}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{16}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{16}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{3}}} \implies \cfrac{ 6 }{ 3 } \implies 2

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ 2}(x-\stackrel{x_1}{3}) \\\\\\ y-10=2x-6\implies {\Large \begin{array}{llll} y=2x+4 \end{array}}

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HURRY PLEASE!! Evaluate the expression below.
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Answer:

A

Step-by-step explanation:

Given

20 - ||  - 13 | + 17 |

Note the absolute value function always returns a positive value, that is

| - a | = | + a | = a, thus

= 20 - | | - 13 |+ 17 |

= 20 - | 13 + 17 |

= 20 - | 30 |

= 20 - 30

= - 10 → A

6 0
2 years ago
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zhannawk [14.2K]

Answer:

B is the most reasonable answer

Step-by-step explanation:

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An actor is 6ft tall.On a billboard for a new movie,the actors pictures is enlarged so that his height is 16.8 ft.what is the sc
Darya [45]

Answer:

Scale Factor = 2.8


Step-by-step explanation:

The scale factor is how many times LARGER is the enlarged pic.

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8 0
3 years ago
80 people were asked which was their favourite animal.
Alex787 [66]

Answer:

(a)Cat

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(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the \square be x.

Half of \square =x/2

From the pictogram, we then have:

Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x

Therefore:

x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8

So we have the following numbers

Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24

(a)Cat was the least popular

(b) \square represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred  giraffes than dogs.

7 0
3 years ago
Nuts Galore sells a trail mix containing dried banana chips, roasted almonds, and chocolate chips that sells for $6.52 per pound
KengaRu [80]

Answer:

x = 28 ----- Banana

y = 54 ----- Almonds

z = 18 ---- Chocolate

Step-by-step explanation:

Let

x \to banana

y \to almonds

z \to chocolate

So, we have:

x + y + z = 100 --- total used

4x + 8y + 6z = 652 -- i.e. 6.52 * 100 --- total sales from 100 pounds

y = 3z

Required

The number of pounds of each (i.e. x, y and z)

Substitute y = 3z in x + y + z = 100

x + 3z + z = 100

x + 4z = 100

Make x the subject

x = 100 - 4z

Substitute y = 3z in 4x + 8y + 6z = 652

4x + 8 * 3z + 6z = 652

4x + 24z + 6z = 652

4x + 30z = 652

Substitute x = 100 - 4z

4(100 - 4z) + 30z = 652

400 - 16z + 30z = 652

Collect like terms

- 16z + 30z = 652-400

14z = 252

Divide by 14

z = 18

Substitute z = 18 in x = 100 - 4z

x = 100 - 4 * 18

x = 100 - 72

x = 28

To calculate y, we have:

y = 3z

y = 3 * 18

y = 54

6 0
3 years ago
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