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3 years ago

A line includes the points (0, 4) and (1, 7). What is its equation in slope-intercept form?

2 answers:

8 0

1)the equation in slope- intercept is y-y1 = m(x-x1) , but in first place you must determine the slope with the points given and the formula m = y2-y1/x2-x1,

2) x1 = 0, y1 = 4 ; x2= 1, y2= 7, m = 7-4/ 1-0 , m = 3/1 = 3

3) now wit a point and its slope determine the equation y-4 = 3(x-o)

antiseptic1488 [7]3 years ago

7 0

I believe it’s m=3 b=4 I don’t understand really so I think this is my answer

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The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle

ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use w to represent the width, the length will be 6 more than 2 times w.

Hence, the length is $2w+6$ .

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

$A=w(2w+6)$

We can also substitute 40 in for A as it's given in the question.

$40 = w(2w+6)$

Distributing w by multiplying it by both terms in the parentheses, we get

$40 = 2w^2+6w$

We can make the equation simpler by dividing both sides by 2.

$20 = w^2+3w$

Subtracting both sides by 20 will make the left-hand side 0.

$0=w^2+3w-20$

Now that we have put this quadratic equation into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

$w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}$

$w= \frac{-3\pm\sqrt{9+80}}{2}$

$w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}$

Since the second solution results in a negative number, it cannot be the length of w.

$w=\frac{-3+\sqrt{89}}{2}\approx3.217$

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

$l=2(3.217)+6$

$l=12.434$

The length of this rectangle is 12.434 cm.

6 0

1 year ago

A store bought a leather couch at a cost of $500 and marked it up 140%. Bruce bought it and

amid [387]

Answer:

$1296

Step-by-step explanation:

the markup is 700 so add that to the 500, then sales tax adds 96

4 0

2 years ago

Can someone please help

Sedaia [141]

$y = 1.5x + 6$

3 0

3 years ago

Linda's grandmother baked brownies on Saturday for her church's bake sale. She cut each batch of brownies into 9 large pieces. S

LiRa [457]

Answer:

C - 8

Step-by-step explanation:

153 - 81 = 72

72 ÷ 9 = 8

5 0

3 years ago

A chef planning a banquet thinks that 2 out of every 5 dinner guests will order his soup. He expects 800 guests. Use equivalent

rewona [7]

Answer:

Cups of soup to be prepared = 320

Step-by-step explanation:

Using equivalent ratios

2:5 = X:800

X = (800 x 2)/5 = 320 cups

Cups of soup to be prepared = 320

8 0

3 years ago

Read 2 more answers