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4 years ago

Graph the line y+3=2(x-1) first identify the slope of the line

1 answer:

6 0

First you need to simplify the equation.

y + 3 = 2(x - 1)
y + 3 = 2x - 2

Then you need to put that into slope-intercept form (y = (slope)x + (y intercept))

y + 3 = 2x - 2
-3 -3
y = 2x - 5

The slope is the coefficient of x, so 2 is the slope of the line.

You might be interested in

If the sinø=7/12, what is cosø?

777dan777 [17]

Answer:

If the sinø=7/12, cosø is $\frac{\sqrt{95} }{12}$

Step-by-step explanation:

We are given sinФ = 7/12

We need to find cosФ

The basic trigonometric functions of right triangle are:

$sin\theta=\frac{opposite}{hypotenuse}$

$cos\theta=\frac{adjacent}{hypotenuse}$

We need values of adjacent and hypotenuse to find cosФ

Using Pythagoras theorem we can find the value of adjacent

$(Hypotenuse)^2= (Opposite)^2+(Adjacent)^2$

We have Hypotenuse= 12 and Opposite = 7 (because $sin\theta=\frac{opposite}{hypotenuse}$ and we are given $sin\theta=\frac{7}{12}$

Inserting values and finding adjacent:

$(Hypotenuse)^2= (Opposite)^2+(Adjacent)^2\\(12)^2=(7)^2+(Adjacent)^2\\144=49+(Adjacent)^2\\144-49=(Adjacent)^2\\95=(Adjacent)^2\\\sqrt{(Adjacent)^2} =\sqrt{95}\\Adjacent=\sqrt{95}$

So, value of Adjacent is $\sqrt{95}$

Now finding cosФ

$cos\theta=\frac{adjacent}{hypotenuse}$

Adjacent = $\sqrt{95}$ , hypotenuse = 12

$cos\theta=\frac{\sqrt{95} }{12}$

So, If the sinø=7/12, cosø is $\frac{\sqrt{95} }{12}$

7 0

3 years ago

A box contains 1414 large marbles and 1111 small marbles. Each marble is either green or white. 66 of the large marbles are gree

Luba_88 [7]

Answer:

0.9739

Step-by-step explanation:

We have 1111+1414=2525 marbles, and

44 small white matbles and

1414-66=1348 big white marbles.

So we have 44+1348=1392 white marbles.

The probability to choose small marbles is P(s)=1111/2525=0,44

The probability to choose white marbles is:

P(w)=1348/2525=0,5513.

The probability to choose small and white is:

P(s and w)=44/2525=0,0174

The probability to choose small or white is:

P(s or w)= P(s)+P(w)-P(s and w)=0,44+0,5513-0.0174=0,9739

6 0

3 years ago

Please help. I suck at geometry

Natasha_Volkova [10]

Answer:

Complementary angle is 90 degree and supplementary angle is 180 degree

8 0

3 years ago

If A = {1, 2, 3, 4} and B = {4, 5, 6}, find A ∪ B.

kiruha [24]

Answer:

{ 1,2,3,4,5,6}

Step-by-step explanation:

5 0

3 years ago

andrea was given the following equation to solve , 5x - 2 = 2x + 7 , she decided to combine the 5x and 2x on the left side , lea

MaRussiya [10]

When she decided to combine the 5x and 2x she would have been subtracting the 2x leaving her with 3x-2=7which is 3x=9, x=3

8 0

3 years ago