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3 years ago

What’s equivalent to (18x + 9k) +(2x + 6k)

Mathematics

2 answers:

artcher [175]3 years ago

6 0

18x + 9k + 2x + 6k.....combine like terms
20x + 15k or 5(4x + 3k)

gladu [14]3 years ago

4 0

Combine like terms.

18x + 2x = 20x

9k + 6k = 15k

20x + 15k is your answer

Note that you cannot combine 15k and 20x, because they have different variables

hope this helps

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I need help To find gradient and y-intercept...

suter [353]

Answer:

a) the gradient of the linear graph is: $\mathbf{\frac{-1}{3} }$

b) the y-intercept of linear graph is -1

Step-by-step explanation:

a) Find the gradient of the linear graph.

The formula used to find gradient is same as slope

$Gradient=\frac{Change \ in \ y \ coordinate}{Change \ in \ x \ coordinate}\\or\\Gradient=\frac{y_2-y_1}{x_2-x_1}$

Take any 2 points from the graph.

I will take: (-3,0) and (0,-1)

Putting values in formula and finding gradient

$Gradient=\frac{y_2-y_1}{x_2-x_1} \\Gradient=\frac{-1-0}{0-(-3)} \\Gradient=\frac{-1}{3}$

So, the gradient of the linear graph is: $\mathbf{\frac{-1}{3} }$

b) Find the y-intercept of linear graph

The y-intercept of linear graph is the value of y at the point where the line crosses the y axis.

So, in the given graph, that point is -1

So, the y-intercept of linear graph is -1

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2 years ago

Gabriel is driving 80 kilometers in one hour. How many kilometers does he drive in 1.5 hours

gogolik [260]

Answer:

He drove 120 km

Step-by-step explanation:

We know that 1 hour of driving is equal to 80 km. We need to find out for 1.5 km. First, we need to know how much km for 1/2 of an hour. Which will be 40, because 80/2=40. Then we add up the 40 to the 80, and we get 120 km in total.

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3 years ago

An angles end point is called the ____ of the angle.

sergeinik [125]

Answer:

vertex

Step-by-step explanation:

An angle is the union of two rays with a common endpoint. The common endpoint of the rays is called the vertex of the angle, and the rays themselves are called the sides of the angle.

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3 years ago

Read 2 more answers

A lawnmower costs $284, and the six-year extended warranty on the lawnmower costs 17% as much as the lawnmower itself. What is t

Veseljchak [2.6K]

<u>Answer:</u>

The correct answer option is c. $8.05.

<u>Step-by-step explanation:</u>

We are given that a lawnmower costs $284, and the six-year extended warranty on the lawnmower costs 17% as much as the lawnmower itself.

We are to find its effective price per year of the extended warranty.

So, the amount of six year warranty = $\frac { 17 } { 100 } \times 284$ = $48.28

Price of warranty per year = $\frac { 48.28 } { 6 }$ = $8.05

6 0

3 years ago

Graph DEF and its image when you translate DEF using vector

adelina 88 [10]

Answer:

The image coordinates are D'(8, 5), E'(12, 3) and F'(10,0)

Step-by-step explanation:

Given the vertices of △ DEF are D (2, 5), E (6, 3), and F (4, 0). We have to translate the triangle using the vector (6, 0)

Now, translation by vector (6, 0)

D (2, 5)=D'(2+6, 5+0)=D'(8, 5)

E (6, 3)=E'(6+6, 3+0)=E'(12, 3)

F (4, 0)=F'(4+6, 0+0)=F'(10,0)

Now, we have to label the coordinate of the triangle or to get image of triangle after translation.

Hence, The image coordinates are D'(8, 5), E'(12, 3) and F'(10,0)

Step-by-step explanation:

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3 years ago