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Naya [18.7K]
2 years ago
5

Find the slope of each line5. y= -2x+5. 6. 3x+6y=12​

Mathematics
1 answer:
Oduvanchick [21]2 years ago
4 0

Answer:

5. Slope = -2x

(Full system: y = -2x + 5)

6. Slope = -1/2x

(Full system: y = -1/2 +6)

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What is the slope of the line with equation <br>-3x+6y=12
notka56 [123]

Note the slope intercept form: y = mx + b, in which m = slope

Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, add 3x to both sides

-3x (+3x) + 6y = (+3x) + 12

6y = 3x + 12

Fully isolate the y. Divide 6 from both sides (and to all terms)

(6y)/6 = (3x + 12)/6

y = (3x)/6 + (12)/6

Simplify

y = (1/2)x + 2

y = 0.5x + 2 is your equation.

The slope is direclty left of the x (or the m variable). In this case, it is 0.5

0.5 is your answer (or 1/2 if wanted in fraction form)

~

3 0
3 years ago
Read 2 more answers
7 1/3 ∙ x = 1.6 ÷ 6/11<br><br> x = __ <br><br> Please Help!
ANTONII [103]

Answer:

x= 0.4

Step-by-step explanation:

We need to solve and find the value of x

7 1/3x = 1.6 ÷ 6/11

Converting mixed fraction into improper fraction

22/3 x = 1.6 ÷ 6/11

Converting ÷ sign by X and reciprocating the term

22/3 x = 1.6 * 11/6

Now divide both sides by 3/22

x = 1.6 * 11/6 * 3/22

x = 1.6 * 1/2 * 1/2

x = 1.6/4

x = 0.4

S0, x= 0.4

7 0
3 years ago
James is selecting a marble. James chooses a marble at random and then replaces it. He then selects a second marble at random. W
tresset_1 [31]

Answer:

The probability of selecting a solid black marbles both times;

P = 9/100

Attached is the completed question;

Step-by-step explanation:

Number of solid black marbles = 3

Total number of marbles = 10

The probability of selecting a solid black marble;

P1 = 3/10

With the assumption that the marbles are replaced before next selection.

The probability of selecting a solid black marbles both times;

P = P1 × P1 = 3/10 × 3/10 = 9/100

P = 9/100

7 0
3 years ago
Translate each algebraic expression to a verbal phrase
GaryK [48]

Answer:

1.  A number decreased by seven.

2. A number increased by nine.

3. The product of six and a number, divided by eight.

4. The product of three and a number increased by five is equal to twenty.

5. The product of two and a number increased by eight is equal to twenty-three.

Step-by-step explanation:

1.   x-7

A number decreased by seven.

2. y+9

A number increased by nine.

3. 6m/8

The product of six and a number, divided by eight.

4. 3y+5 =20

The product of three and a number increased by five is equal to twenty.

5. 2(x+8)= 23

The product of two and a number increased by eight is equal to twenty-three.

3 0
2 years ago
The coordinates of AB are A(-5, -1) and B(-2, -6). If AC : CB = 3 : 7, what are the coordinates of point C?
navik [9.2K]

\text{Let the coordinates of AB are }A(-5,-1), \text{ and }B(-2, -6)\\&#10;\\&#10;\text{let the coordinate of th point C be (x, y), such that}\\&#10;\\&#10;AC:CB=3:7\\&#10;\\&#10;\text{By the section formula, we know that if P(x,y) lies on a line segment AB}\\&#10;\text{where, }A(x_1,y_1), \ B(x_2,y_2)\text{ and satisfy the ratio, }AP:PB=m:n, \text{ then}

P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right ).\\&#10;\\&#10;\text{So using this formula, we get for the given problem}\\&#10;\\&#10;C=\left ( \frac{3(-2)+7(-5)}{3+7}, \ \frac{3(-6)+7(-1)}{3+7} \right )\\&#10;\\&#10;\Rightarrow C=\left ( \frac{-6-35}{10}, \ \frac{-18-7}{10} \right )\\&#10;\\&#10;\Rightarrow C=\left ( \frac{-41}{10}, \ \frac{-25}{10} \right )\\&#10;\\&#10;\Rightarrow C=\left ( -4.1, \ -2.5 \right )

Coordinates of the point C is: (-4.1, -2.5)

5 0
3 years ago
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