All categories

3 years ago

Which equation in point slope form describes the line that passes through (3,-5) and has a slope of 2?

Mathematics

1 answer:

slava [35]3 years ago

8 0

Answer:

y + 5 = 2(x - 3)

General Formulas and Concepts:

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope

Step-by-step explanation:

Step 1: Define

Point (3, -5)

Slope m = 2

Step 2: Write equation

Substitute in variables into the general form.

y + 5 = 2(x - 3)

You might be interested in

If 4^(x+2) = 48 what is 4^x

ivanzaharov [21]

Answer:

Step-by-step explanation:

$4^{(x+2)} = 48 \\ \\ {4}^{x} . {4}^{2} = 16.3 \\ \\ {4}^{x} . \cancel {16} = \cancel {16} .3 \\ \\ {4}^{x} = 3$

4 0

3 years ago

Please can I have an explanation also, I am terrible at these kinds of questions!

wlad13 [49]

Answer:

The fraction of the beads that are red is

Step-by-step explanation:

Algebraic Expressions

A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:

r:y = 2:3

y:b = 5:4

We are required to find r:s, where s is the total of beads in the bag, or

s = r + y + b

Thus, we need to calculate:

$\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]$

Knowing that:

$\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]$

$\displaystyle \frac{y}{b}=\frac{5}{4}$

Multiplying the equations above:

$\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}$

Simplifying:

$\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]$

Dividing [1] by r:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}$

Substituting from [2] and [3]:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}$

Operating:

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}$

$\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}$

The fraction of the beads that are red is $\mathbf{\frac{10}{37}}$

8 0

3 years ago

Gisele went to the shoe store and bought two pairs of flats. One pair was $21.20, and the other was $31.50. If she has $60.00, h

Andrei [34K]

$8.30?

I need more info, is this including tax or are you having to tax the items as well?

5 0

3 years ago

Read 2 more answers

The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students a

xenn [34]

Answer:

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4 $x$

Let the total number of choir students = 6 $x$

Total number of students = 60

As per question statement, we can write the following equation:

$\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6$

Total number of band students = 4 $\times$ 6 = 24

5 0

3 years ago

What else might be special about the sides of a rhombus

oee [108]

Answer:

Slanted, perpendicular, and they bisect

Step-by-step explanation:

(What else of what)

6 0

3 years ago