All categories

3 years ago

What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?

Mathematics

1 answer:

AnnZ [28]3 years ago

7 0

Answer:

$\displaystyle y + 3 = 4(x + 1)$

Step-by-step explanation:

In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

You might be interested in

Please answer correctly

marysya [2.9K]

Answer:

Option (1)

Step-by-step explanation:

We need a recursive formula.

Eliminate option 3.

The common ratio is 2.

Eliminate options 2 and 4.

So, the answer is option 1.

3 0

2 years ago

Which shows the correct way to use the rule ""multiply by the reciprocal"" for the expression below? 7 divided by StartFraction

guajiro [1.7K]

Given:

The expression is $\dfrac{7}{\frac{5}{8}}$ .

To find:

The shows the correct way to use the rule ""multiply by the reciprocal"" for the given expression.

Solution:

According to the rule "multiply by the reciprocal", if a,b,c,d are four number, then

$\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}$

We have,

$\dfrac{7}{\frac{5}{8}}$

It can be written as

$\dfrac{7}{\frac{5}{8}}=\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}$

Using the rule "multiply by the reciprocal", we get

$\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7}{1}\times \dfrac{8}{5}$

$\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{7\times 8}{1\times 5}$

$\dfrac{\dfrac{7}{1}}{\dfrac{5}{8}}=\dfrac{56}{5}$

Therefore, the correct option is D.

5 0

3 years ago

Read 2 more answers

The sum of the digits of a two-digit number is 9. When the digits are reversed, the new number is 9 more than the original numbe

Paul [167]

9514 1404 393

Answer:

d. 45

Step-by-step explanation:

You can check the offered answers. You will find that the difference from reversing the digits will only be 9 if the digits differ by 9/9 = 1.

The original number is 45.

Check

45 + 9 = 54 . . . with the digits reversed

4 0

3 years ago

Truck A costs $600 more that Truck B. However, it burns 0.06 gallon/mile compared to 0.07 gallon/mile for truck B. Both trucks h

qwelly [4]

Answer:

1,778

Step-by-step explanation:

Let C and S represent the cost and salvage value of Truck B, respectively. Let X represent the number of miles per year that answers the question.

Truck A's cost for 10 years is ...

A = C+600 +(0.06)(2.25)(10X) -(S+200)

Truck B's cost for 10 years is ...

B = C +(0.07)(2.25)(10X) -S

We want to find X such that Truck A's cost is lower, so ...

C -S +1.35X +400 < C -S +1.575X

400 < 0.225X

1777 7/9 < X

1778 miles driven per year (or more) makes Truck A a better option.

5 0

3 years ago

Identify the perimeter of a rectangle in which h = 8 ft and a = 144x ft^2. please help asap

Blababa [14]

Here, Given

h= 8ft

a=144 * ft^2

then,

A=L*H

144=L*8 or 144/8 =L

L=18

now, P=2(L+H)

P=2(18+8)

P=52m

Perimeter and area are two important and basic mathematical subjects. They help quantify the physical space and also provide a more advanced foundation of mathematics in algebra, trigonometry, and calculus. Perimeter is a measure of the distance around a shape, and area indicates how much area the shape covers.

The perimeter of a 2D shape is the distance around the shape. You can imagine wrapping a string around a triangle. The length of this cord is around the triangle. Or, if you're traveling outside the park, take a route that goes around the edge of the park.

Learn more about Perimeter & Area here: brainly.com/question/24571594

#SPJ4

7 0

2 years ago