Can someone please help me ⚠️

What is an equation in slope-intercept form for the line that passes through the points (1 -3) and (3 1)

Bas_tet [7]

Answer:
$y = 2x - 5$

Explanation:

Slope-intercept form formula:
$y = mx + b$
For this formula we need the slope to find the slope use the slope formula:
$\frac{y_{2} - y}{x_{2} - x}$
Plug in the two points (1,-3) and (3,1)
$\frac{1 - - 3}{3 - 1}$
$\frac{4}{2}$
=2
the slope is 2

Now use the slope-interpect formula and plug in the slope (m)
$y = 2x + b$
plug in one point I'll use (3,1)
$1 = 2(3) + b$
1 = 6 +b
1-6=6-6+b
-5 = b

The equation would be:
$y = 2x - 5$

4 0

2 years ago

David invested $1,000 what would that money grow to in 18 months at a 5.5% interest rate

Lunna [17]

David would have $3272.72 is what he would have

4 0

2 years ago

These two cylinders are congruent. cylinder a has a radius of 4 centimeters. cylinder b has a volume of 176π cubic centimeters.

Dafna11 [192]

The height of cylinder b is 11 cm.

<h3>How to measure the volume of a cylinder?</h3>

The volume of the cylinder is related to the capacity of this geometric figure. Remember that the cylinder or circular cylinder is an elongated and rounded geometric solid.

The formula for the volume of a cylinder is given by:

$V = \pi.r^2.h$

Where:

V: volume
π (Pi): 3
r: radius
h: height

In this case, as the cylinders are congruent, both will have the same radius, thus:

$V = \pi.r^2.h\\176\pi=\pi(4)^2(h)\\h=11$

See more about height of cylinder at brainly.com/question/14165005

#SPJ4

4 0

1 year ago

Read 2 more answers

A die is rolled five times and the number of fours that come up is tallied. Find the probability of getting the given result. Ex

SashulF [63]

Answer:

0.0321

Step-by-step explanation:

This can be found by binomial probability distribution as the probability of success is constant. There are a given number of trials. the successive tosses are independent.

Here n= 5

The probability of getting a four in a roll of a die = 1/6

The probability of not getting a four in a roll of a die = 5/6

The probability of getting exactly three 4s in five throws is given by

5C3 (1/6)³ (5/6)² = 10 (0.0046) (0.694)= 0.0321

7 0

3 years ago

Suppose that the augmented matrix for a linear system has been reduced by row operations to the given row echelon form. Solve th

erastovalidia [21]

Answer:

a) x = -37 , y = -8, z = 5.

b) w = 13z-10, x = 13z-5, y= 2-z, z = free parameter.

c) v = 2z-7w-11, w = free parameter, x = -3z-4, y = 9-3z, z = free parameter

d) No solution

Step-by-step explanation:

a) $\left[\begin{array}{cccc}1&-3&4&7\\0&1&2&2\\0&0&1&5\end{array}\right]$

The following set of equations are:

z = 5

y+2z=2

x-3y+4z=7

Solving above equations:

y = -8, x = 7-4(5)+3(-8) = -37

b) $\left[\begin{array}{ccccc}1&0&8&-5&6\\0&1&4&-9&3\\0&0&1&1&2\end{array}\right]$

The following set of equations are:

y+z = 2

x+4y-9z=3

w+8y-5z=6

Solving above equations:

z = free parameter - No. of columns > No. of rows; hence, multiple solutions.

y = 2-z, x = 3+9z-4(2-z) = -5+13z, w = 6+5z-8(2-z) = 13z-10

c) $\left[\begin{array}{cccccc}1&7&-2&0&-8&-3\\0&0&1&1&6&5\\0&0&0&1&3&9\end{array}\right]$

The following set of equations are:

y + 3z = 9

x + y + 6z = 5

v + 7w -2x -8z = -3

Solving above equations:

z & w = free parameter - No. of columns > No. of rows; hence, multiple solutions.

y = 9-3z, x = -3z-4, v = -11+2z-7w

d) $\left[\begin{array}{cccc}1&-3&7&1\\0&1&4&0\\0&0&0&1\end{array}\right]$

The following set of equations are:

0 = 1

y + 4z = 0

x-3y+7z = 1

Solving above equations:

No Solution as the first equation is inconsistent

5 0

2 years ago