What is the equation of the line that passes through the points (2,-1) and (6,1)?

4= -2(x-2) +4 please help I’ll give you points!

Elina [12.6K]

<h3>Solution:</h3>

4 = -2(x-2) + 4

or, 4 = -2x + 4 + 4

or, 4 = -2x + 8

or, 4 - 8 = -2x

or, -4 = -2x

or, -4/-2 = x

or, 2 = x

<h2>Answer:</h2>

The value of x is 2.

4 0

3 years ago

Read 2 more answers

Joe is making a recipe that calls for 3/4 tsp of cinnamon. His only measuring spoon holds 1/8 teaspoon. How many times will he n

SashulF [63]

6 times because you find the common denominator which is 8 so 3/4 is 6/8. He needs to fill his cup 6 times.

5 0

3 years ago

In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa

Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

$^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434$

Hence, the required number of ways =27434

5 0

3 years ago

Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each

Tpy6a [65]

Hi there!!

First, Let plain shirts be x
Let fancy shirts be y
x + y = 7
15x + 28y = 131
Multiply first equation by 28 to eliminate y:
28x + 28y = 196
<span>15x + 28y = 131
</span>Subtracting the two equations:
13x = 65
<span>x = 5 </span>
Substituting x to get y:
x + y = 7
5 + y = 7
<span>y = 2 </span>
<span>Answer: 5 plain shirts and 2 fancy shirts
</span>
Hope this helps u!!
Have an amazing rest of ur day:)))

3 0

3 years ago

If two supplementary angles are in the ratio of 4:5 the measure of the larger angle is

dimulka [17.4K]

Answer:

Step-by-step explanation:

Let the angles be 4x , 5x

4x + 5x = 180 { supplementary}

9x = 180

x = 180/9

x = 20

Larger angle= 5x = 5* 20 = 100

6 0

3 years ago