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3 years ago

QUICK PLEASE !!!!!

Mathematics

1 answer:

Leni [432]3 years ago

3 0

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

==============================================

From the table we have :

x = 1 → y = 6

x = 2 → y = 9

x = 3 → y = 12

x = 4 → y = 15

Calculate the slope (choice any two pairs, and calculate the slope):

(1, 6), (2, 9)

$m=\dfrac{9-6}{2-1}=\dfrac{3}{1}=3$

We have the equation:

$y=3x+b$

Put the coordinates of the point (1, 6) to the equation, and solve it for b:

$6=3(1)+b$

$6=3+b$ <em>subtract 3 from both sides</em>

$3=b\to b=3$

Finally:

$y=3x+3$

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41. What is the image of O(- 3, - 2) after two reflections, first across the line y = - 5 , then across the line x = 1 ? (1 poin

liberstina [14]

Answer:

D(5,-8)

Step-by-step explanation:

The given point is (-3,-2)

When we reflect in the line y=k, we use the rule (x, 2k-y)

This implies that:

$(-3, - 2)\to (-3, 2*-5--2)$

$(-3, - 2)\to (-3, - 8)$

When we reflect in the line x=k, we use the rule

$(x,y)\to (2k-x,y)$

Now we have x=1

This implies that:

$( - 3, - 8)\to (2 \times 1- - 3, - 8)$

$( - 3, - 8)\to (5, - 8)$

4 0

3 years ago

The quotient of 15 and n is 5

Anna35 [415]

My English is not that great but if I got it right the answer is 3

7 0

2 years ago

I don't really get it

blsea [12.9K]

I can't see the whole pic...

what is written on the side?? I can see part of it and I think it is telling you what to do. If not what is thew question?? All you are showing is the lines.

3 0

3 years ago

Need the answer to this question pls help

notsponge [240]

Answer:

12√x^2.y^9

Step-by-step explanation:

x^1/6 * y^3/4

xy ^ (1/6+3/4)

xy ^ (2/12+9/12)

12√x^2 * y^9

4 0

2 years ago

2 cars c and d started to move to each other car c was 118 miles from Boston car d was 256 miles from Boston car c was going twi

Vadim26 [7]

Answer:

131.3 miles

Step-by-step explanation:

The two cars are moving from different directions. The total distance between the two cars = 118 miles + 256 miles = 374 miles.

Let us assume that the two cars meet at point O, let the distance between car c and O be d₁, the distance between car d and point O be d₂, hence:

d₁ + d₂ = 374 miles (1)

Let speed of car d be x mph, therefore speed of car c = 2x mph (twice of car d). If it take the cars t hours to meet at the same point, hence

For car c:

2x = d₁/t

t = d₁ / 2x

For car d;

x = d₂/t

t = d₂/ x

Since it takes both cars the same time to meet at the same point, therefore:

d₁/2x = d₂ / x

d₁ = 2d₂

d₁ - 2d₂ = 0 (2)

Solving equation 1 and 2 simultaneously gives d₁ = 249.3 miles, d₂ = 124.7 miles

Therefore the distance from point of meet to Boston = 249.3 - 118 = 131.3 miles

7 0

3 years ago