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2 years ago

Find the slope and the y-intercept of he line with the equation 2y+x=-6

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

3 0

Answer:

The slope is -1/2 and the y intercept is -3

Step-by-step explanation:

To find the slope and the y intercept, we need to get it in the form

y= mx+b where m is the slope and b is the y intercept

Solve for y

2y+x = -6

Subtract x from each side

2y+x-x = -x-6

2y =-x-6

Divide by 2

2y/2 = -1/2x -6/2

y = -1/2x -3

The slope is -1/2 and the y intercept is -3

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N ΔCAB, if the measure of segment AB is 8 units and the measure of segment segment AC is 5 units, which of the following could b

muminat

Answer:

∴Third side = 12 units

Step-by-step explanation:

In ΔCAB, the measure of segment AB is 8 units and the measure of segment AC is 5 units.

The sum of two sides of a triangle always grater than third side.

Therefore,

(5+8)=13 units

third side<13

∴Third side = 12 units

4 0

2 years ago

Kate writes an algebraic expression using each of the variables x and y only once. they first expression she writes uses x and y

kotykmax [81]

Answer:

B: Using x and y factor results in an expression of greater value than using x and y as terms.

Step-by-step explanation:

For her first expression, x and y are factors;

For her second expression, x and y are written as terms;

x + y

For x and y are both negative integers, then;

-x * -y = xy ............... 1

-x + (-y) = - x - y

= - (x + y) .............. 2

Therefore, the value of x and y factors is greater than that when x and y are as terms. Thus the correct option is B.

3 0

2 years ago

Angelique had 20 tokens to use for games at the arcade. She lost some of them. Her dad tripled the tokens she had left. Angeliqu

alexandr402 [8]

Answer: Both the expressions are exactly same . Both are representing the number of tokens she has now.

Step-by-step explanation:

Given: The total number of tokens Angelique has= 20

Since, she lost some of them, let the number of lost tokens be t.

Then, The remaining tokens she has = 20-t

Then her father triples the tokens she has.

now, the number of token she has= $3(20-t)$ ....>Angelique's expression

By using distributive property,

The number of token she has= $3\times20-3t$

⇒The number of token she has= $60-3t$ ...> Dante's expressions

Hence, both are the same expressions. Both are representing the number of tokens she has now.

7 0

2 years ago

Read 2 more answers

Every morning, a deli offers a “commuter special” in which customers can select a pastry, beverage, and a copy of one of the loc

mars1129 [50]

To find the number of possible combinations, you multiple the possible number of outcomes for each category together. For example, there are 5 choices of pastries, 4 choices of drinks, and 2 newspaper choices, so normally there are 5 x 4 x 2=40 possible combinations. Without a muffin, these numbers would change to 4 x 4 x 2=32. The difference would be 8 possible options, so choice C.

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2 years ago

Read 2 more answers

Using two or more complete sentences, describe how to find the general rule for the arithmetic sequence with a4 = -1 and a6 = -1

adoni [48]

Answer:

Step-by-step explanation:

to find the arithmetic sequence with a4=-1 and a6=-13

first: find the difference: an=a+(n-1)d

a4=-1

that means a1+d(4-1)=-1 ( since a4 given and need to find a1)

a1+3d=-1 first equation

a1+d(6-1)=-13 ( a6 is given)

a1+5d=-13 second equation

a1+3d=-1

a1+5d=-13 ( find a and d by subtraction)

a1+3d-a1-5d=-1-(-13)

2d=12

d=-12/2=-6 ( substitute d in the equation: a1+3d=-1)

difference =-6

a1=17

a1,a2,a3,a4,a5,a6,....

the sequence is : 17,11,5,-1,-7,-13,.....

hope it works

5 0

2 years ago