All categories

3 years ago

1. Write an equation in point-slope form of the line that that passes through the point (4,-5) and has a

Mathematics

1 answer:

Aleks04 [339]3 years ago

7 0

Answer:

y + 5 = (3/2)(x - 4)

Step-by-step explanation:

The point-slope formula is y - k = m(x - h). We get h and k from the given point: h = 4 and k = -5, and m from the given slope: 3/2. Then we have:

y + 5 = (3/2)(x - 4)

You might be interested in

What is the slope and y intercept of the following linear equation:y=1/3×-2

gulaghasi [49]

Answer:

Step-by-step explanation:

The general formula for slope-intercept form is y = mx + b

We can see that m (slope) equals 1/3 here. We can also see that the y-intercept (b) is -2. Another way to find the y intercept is to make x equal to 0. You get 0 - 2 which equals -2

Note:

If youre ever asked for the x-intercept, make y equal to zero and solve for x.

5 0

3 years ago

A construction company purchased some equipment costing $300,000. The value of the equipment depreciates

goldfiish [28.3K]

Answer:

$11.9\ years$

Step-by-step explanation:

we know that

The formula to calculate the depreciated value is equal to

$V=P(1-r)^{x}$

where

V is the depreciated value

P is the original value

r is the rate of depreciation in decimal

x is Number of Time Periods

in this problem we have

$P=\$300,000\\r=14\%=14/100=0.14\\V=\$50,000$

substitute the values and solve for x

$50,000=300,000(1-0.14)^{x}$

$(50,000/300,000)=(0.86)^{x}$

$(5/30)=(0.86)^{x}$

Apply log both sides

$log(5/30)=(x)log(0.86)$

$x=log(5/30)/log(0.86)$

$x=11.9\ years$

4 0

3 years ago

Read 2 more answers

Sara baked chocolate chip cookies and oatmeal cookies. The ratio of chocolate chip cookies to oatmeal cookies is 3:2. If she bak

EleoNora [17]

Answer: 36 chocolate chip cookies and 24 oatmeal cookies

Step-by-step explanation:

1. 3 + 2 = 5

2. 60 / 5 = 12

3. 12 * 3 = 36

4. 12 * 2 = 24

5 0

3 years ago

Read 2 more answers

What is an equation that passes through (18,2) and is parallel to 3y-x=-12

MrRa [10]

3(2)-18=-12
6-18 = -12
-12 = -12

5 0

3 years ago

Find the total surface area of the figure.

Ratling [72]

Answer:

8x6x4=192. So, the answer is 192.

7 0

3 years ago