Answer:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)
There are 3 ways to write the equation of the line:
In slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptIn point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a pointIn standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b cannot be zero, and a cannot be negativeThe easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way
So we'll need to find the slope
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:
[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]
Now substitute these values into the formula. Remember that m is the value of the slope:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--6}{2--3}[/tex]
Simplify the fraction:
m=[tex]\frac{-2+6}{2+3}[/tex]
Add the numbers together:
m=[tex]\frac{4}{5}[/tex]
So the slope of the line is 4/5
Let's plug it into the formula y=mx+b, since we now know the value of m
y=[tex]\frac{4}{5}[/tex]x+b
Now let's find b
As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b
Either point works, but let's take (2, -2) for instance
Substitute 2 as x and -2 as y
-2=4/5(2)+b
Multiply
-2=8/5+b
subtract 8/5 from both sides
-18/5=b
Now substitute -18/5 as b into the equation:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Hope this helps!
a boy gains 8 marks out of 10 what percentage is this
It is 80%
8 divied by 10 is 0.8. Which is 80%
Answer:
8 out of 10 is the same thing as saying [tex]\frac{8}{10}[/tex] so it would be 80%
Step-by-step explanation:
8 ÷ 10 = 0.8 = 80%
You have a $50 gift card to go shopping for school supplies. You buy 2 packs of pencils, 5 notebooks. 6 folders, 1 pack of pens, 3 packs of paper, 1 pack of highlighters, and 2 binders.
pens: $1.57
pencils: $1.98
folder: $0.75
highlighter: $3.45
notebooks: $2.95
binders: $3.55
paper: $0.69
What value represents the change in value of the gift card after buying your school supplies ?
The value of the gift card declined by $37.40.
The total cost of all the items purchased has to be determined.
Total cost of pens = $1.57 x 1 = $1.57Total cost of pencils = $1.98 x 2 = $3.96Total cost of folders = $0.75 x 6 = $4.50 Total cost of highlighter: $3.45 x 1 = $3.45Total cost of notebooks: $2.95 x 5 = $14.75Total cost of binders: $3.55 x 2 = $7.10Total cost of paper: $0.69 x 3 = $2.07The sum of these items is $37.40
Change in value = value of the gift card - cost of items
$50 - $37.40 = $12.60
A similar question was answered here: https://brainly.com/question/19891026
Answer:
Total cost of pens = $1.57 x 1 = $1.57
Total cost of pencils = $1.98 x 2 = $3.96
Total cost of folders = $0.75 x 6 = $4.50
Total cost of highlighter: $3.45 x 1 = $3.45
Total cost of notebooks: $2.95 x 5 = $14.75
Total cost of binders: $3.55 x 2 = $7.10
Total cost of paper: $0.69 x 3 = $2.07
The sum of these items is $37.40
Change in value = value of the gift card - cost of items
$50 - $37.40 = $12.60
Step-by-step explanation:
I need help please! It’s due tonight and I don’t know.
Answer:
i think the first question is yes and the second one is no
Step-by-step explanation:
What is the value of x in this triangle?
Please help I need to find the scale factor for the side lengths!!!
Answer:
The blue thing is 4 times smaller than the big thing.
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
The image/preimage scale factor can be found by considering the lengths of corresponding sides.
Q'R'/QR = (4-2)/(16 -8) = 2/8 = 1/4
The scale factor is 1/4.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
What is the slope-intercept form of the linear equation x + 4y = 12?
Quick please!!!!
Answer:
y=(12-x)/4
Step-by-step explanation:
subtract x on both sides, then divide by four
Answer:
Step-by-step explanation:
Slope intercept form: y = mx +b
x +4y = 12
4y = -x + 12
Divide the entire equation by 4
[tex]\dfrac{4y}{4}=\dfrac{-x}{4}+\dfrac{12}{4}\\\\\\y =\dfrac{-1}{4}x+3[/tex]
11x-20=4x+15
what does x equal
Answer:
x = 5
Step-by-step explanation:
11x - 20 = 4x + 15
Add 20 to both sides
11x = 4x + 15 + 20
11x = 4x + 35
Subtract 4x from both sides
11x - 4x = 35
7x = 35
Divide both sides by 7
x = 35/7
x = 5
How much do you need to subtract from 53 over 6 to make 8
Answer:
Step-by-step explanation:
Think about how this question is written out mathematically.
5/36−x=8
You’re looking for x.
When rewritten, we can move x to the right side for a positive x, then we can move 8 over to the left side for -8.
53/6−8=x
In simple fraction form 8=8/1
But here's where we've got a problem. The denominators aren’t alike… 6≠16≠1
In this case, multiplying 8/1 by 6/6 is the easiest way to get a common denominator for both, 6.
Multiply both the numerator (8) and denominator (1) by 6. So, now we have 48/6
Now that we have common denominators, we can subtract.
53/6 - 48/6
= 5/6
To check:
53/6 - 5/6 = 48/6
48/6 = 8
URGENT!!!
Peggy sue decided to enter her famous “Five- Alarm chili” at her local chili cooking contest. Normally, she needs 5 tomatoes to make enough chili for her family of 7
A. How many tomatoes should she expect to use to make her famous recipe for 100 people?
b. When she gets to the contest, she realizes that she only packed 58 tomatoes. How many people can she expect to feed?
PLEASE ANSWER THIS AS FAST AS YOU CAN
Answer:
x = 8 and y = 21
Step-by-step explanation:
3y + 27 = 90 so 3y = 90 -27 which is 63 and to get y you divide 63 by 3 to get 21
Angles on a straight line add up to 180 so 180 = x + 90 + 8x + 18
Then you minus 90 from 180 to get 90 = x + 8x + 18 which simplifies to 90 = 9x + 18
Then you minus 18 from 90to get 72 = 9x
Then divide 72 by 9 to get x = 8
Choc-Arcade has Miguel's two favorite things: a chocolate shop and an arcade! Not only that, but Choc-Arcade's loyalty program rewards Miguel with free game tokens every time he buys chocolates. He gets 4 free game tokens for each chocolate he buys. There is a proportional relationship between the number of chocolates Miguel buys, x, and the number of free game tokens he gets, y.
Answer:
x : 4y
Step-by-step explanation:
For every one chocolate he buys, he gains 4 free game tokens
1/6 to the power of 3
Answer:
0.00462962962
Step-by-step explanation:
Evaluate each function for the given value of x, and write the input x and
output f(x) as an ordered pair.
18,20,22,24
Answer:
18) 3
20) -65
22) 12/5
24) -5/2
Step-by-step explanation:
18) f(-5) = -[2(-5)+1] / 3
= -(-10+1)/3
= -(-9)/3
= 3
20) f(7) = -9(7)-2
= -63-2
= -65
22) f(-1) = -[(12 · -1)]÷5
= -(-12)÷5
= 12/5 or 2 2/5
24) f(9) = 2/9(9) - 9/2
= 2 - 9/2
= 4/2 - 9/2
= -5/2 or -2 1/2
PLEASE HELP!! Which grabh does NOT represent a function?
Α) Α
B) B
C) С
D) D
Answer:
D
4th option is correct
............
in the 2002 Winter Olympics in salt lake city , the United States and Canada earned a total of 51 metals. the United States earned twice as many as Canada. how many medals did each country earn?
Answer:
United States:34
Canada:17
Answer:
17 and 34
Step-by-step explanation:
the United States earned 34, while the Canada earned 17
Which statements are true of the line represented by the linear equation y= 1/3 x + 3
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
and y- intercept c = 3
there were 230 leprechauns in school this year last year there were 175 leprechauns what is the percent change in the number of leprechauns.
Answer:
0.55%
Step-by-step explanation:
230÷100=2.30%
175÷100=1.75%
2.30-1.75=0.55%
I think ♂️
what is P= 100 I/RT a) I=3, R=4 and T=2
Answer:
not sure what that a) means but...
P = 300/8 = 150/4 = 75/2
Answer:
Answer: 19
Step-by-step Explanation:
P=x
x= 3 -(-8)(2)
x = 3 --16
(A negative plus a negative equal a
positive)
x= 19
Complete the expression that represents the prime factorization of 492.
Type the factors in the increasing order.
492 = 2 × 2×
×
Answer:
The prime factors of 492 are 2, 3, 41.
Step-by-step explanation:
→ 492 = 2 × 2 × ? × ?
→ 492 = 2 × 2 × 3 × 41
Let's check,
→ 492 = (2 × 2) × (3 × 41)
→ 492 = 4 × 123
→ 492 = 492
→ LHS = RHS
Hence, prime factors of 492 are 2, 3, 41.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7
Answer:
D
Step-by-step explanation:
yeah-ya........ right?
The length of the base of an isosceles triangle is x. The length of a leg is 2x-5 . The perimeter of the triangle is 25. Find x.
Answer:
=x+2x-5=25
=3x-5=25
=3x=30
=x=10cmStep-by-step explanation:
mark as brainliast
Answer:
10 cm
Step-by-step explanation:
PLEASE HELP IM GONNA CRY LOL
An angle's measure is equal to 24 less than its complement. Find the measure of the angle.
Answer:
x = 33°
Step-by-step explanation:
x = angle
a complement of an angle =(90-x)
x = (90-x) - 24
x = 90 - x - 24
x = 66 -x
2x = 66
x = 33
Is s = 7 a solution to the inequality below s < 2 yes
Answer:
No
Step-by-step explanation:
No, because s is less then 2. 7 is not less then 2.
‘Hope that helps! :)
Answer:
no
Step-by-step explanation:
s<2
s=7
7>2
Please Help I will give 82 Points and Brainliest
What is the value of 2m² + 12 when m = 3?
A. 24
B. 30
C. 37
D. 38
Answer:
B. 30
Step-by-step explanation:
2m^2 + 12
m = 3
2(3)^2 + 12
3 squared is 9
2(9) + 12
2 times 9 is 18
18 + 12 = 30
2m^2 + 12 = 30
So we subtitute 3 to any "m" in your problem so,
2m^2+12
2(3)^2+12
2(9)+12
18+12
30
So, B is the correct answer!
Find the value of x in the equation below. 2.7+x=11.7
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee (thank you :)
(cAt)
Answer:
X = 2
equation x [tex]\leq[/tex] 2
Step-by-step explanation:
You Factor out the common term 2 which will look like [tex]\frac{2(2x+1)}{5} \leq 2[/tex]
You do this because if you multiply 2*2x and 2*1 you will get 4x+2
Now you will multiply 5 on both sides to turn it into an equation and not a fraction [tex](5)\frac{2(2x+1)}{5}\leq 2 (5)[/tex]
So you would cross out the 5 on the left and the 5 as the denominator to make this an equation and multiply 2 by 5 to get ten your equation will look like [tex]2(2x+1)\leq 10[/tex]
So now that you have your equation you divide both sides by 2 [tex]\frac{2(2x+1)}{2} \leq \frac{10}{2}[/tex]
you cross out the 2 on the left and 2 as the denominator and divide 10 and 2 to get 5. [tex]2x+1\leq 5[/tex]
Now you subtract one from both sides [tex]2x+1\leq 5\\-1=-1\\2x=4[/tex]
you'll get 2x=4
divide both sides by 2 to get x=2
To check you will insert 2 into the original equation [tex]\frac{4x+2}{5} \leq 2[/tex]
[tex]\frac{4(2)+2}{5} \leq 2 = \\\frac{10}{5} \leq 2=\\2\leq 2[/tex]
since the sign means less than or equal to 2 you can say that [tex]2\leq 2[/tex] is a correct inequality equation
I need help. I don't even know where to start, or what to do. Can someone explain?
Answer:
You can follow the image attached. (Although not 100% accurate, since it is roughly an estimate of where the values are.)
Basically, you will indicate with dots (or crosses) the points which fulfill the data in the table. In this case, the x-axis will be the average temp and the y-axis will be the date in april trees bloom.
For example, you can roughly estimate where 1.5 in the x-axis, and follow to find 28 in the y-axis for the first set of data, and continue this for all 8 points.
Triangle PQR is an isosceles triangle with the coordinates P(2, 3), Q(5, 10), and R(8,3).
What is the area of triangle PQR
Answer:
b
Step-by-step explanation:
Solve the following system of equations graphically on the set of axes below.
y=x−2
y= - 1/5x-8