Answer:
The equation of the line in standard form is:
[tex]6x + y = 62[/tex]
Step-by-step explanation:
Given the points
(10,2)(14,-22)Determining the slope between (10, 2) and (14, -22)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(10,\:2\right),\:\left(x_2,\:y_2\right)=\left(14,\:-22\right)[/tex]
[tex]m=\frac{-22-2}{14-10}[/tex]
[tex]m=-6[/tex]
The point-slope form of the line equation is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointsubstituting the values m = -6 and the point (10, 2) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 2 = -6(x - 10)[/tex]
[tex]y - 2 = -6x +60[/tex]
adding 2 to both sides
[tex]y-2+2 = -6x + 60 + 2[/tex]
[tex]y = -6x + 62[/tex]
We can write the equation in the standard form such as
Ax + By = C
Thus,
[tex]y = -6x + 62[/tex]
adding -6x to both sides
[tex]6x + y = -6x + 62 + -6x[/tex]
[tex]6x + y = 62[/tex]
Therefore, the equation of the line in standard form is:
[tex]6x + y = 62[/tex]
Hey there Ms or Mr could you please help me out with this problem?
just a heads up this an assignment not a test it's about quadrilaterals/parallelograms.
Answer:
you forgot they/them pronouns are important!
Step-by-step explanation:
B) Plot the point B(2,-2) and C(-3,0) on the grid.
Answer:
Step-by-step explanation:
For B it would be 2 to the right and 4 down from the origin and for C it would be three to the left and that’s it from the origin
Can someone help me find the scale factor
18% commission on a $500 couch
bro can someone pleaseee help me
Find the missing value in the graph below there are two
(0,4)
(1, )
(2,0.64)
(3,2.56)
(4, )
Answer:
should be the answer to it
Step-by-step explanation:
(2,0.64)
PLEASE HELP ITS URGENT.
what is the value of p?
Answer:
29
Step-by-step explanation:
p = 3p - 58
58 = 2p
(58/2) = p
p = 29
Answer: P= 8
Step-by-step explanation:
I need points.
HELP PLZZ ASAP !!!!! TY PLZZ
Answer:
<ZXY <YXZ and <X
Step-by-step explanation:
don't forget to put the angle sign. it's the blue button all the way on the left in the picture. I used the less then sign in my answe above.
Jerome is a dietician who tracks his daily caloric intake from different sources of nutrients. Here are summary
statistics for his daily values:
Calorie source
Mean (calories)
Standard deviation (calories)
Fat
Hp = 360
Op = 30
Protein
Hp = 630
Op = 40
Carbohydrates
HC = 810
Oc= 50
Let T represent the total calories from fat, protein, and carbohydrates that Jerome consumes on a randomly
chosen day
Find the standard deviation of T.
Answer:
cannot be determined
Step-by-step explanation:
khan academy told me
The price of an item has risen to $196 today. Yesterday it was $80. Find the percentage increase
Solve:
3 + 2 + 52 × 6 − 3 =
(3 + 2) + 52 × (6 − 3) =
PLEASE HELP FAST ILL GIVE BRAINLIEST
Answer:
1. 314
2. 161
Step-by-step explanation:
What fraction is equivalent to 18%
the fraction that is equivalent to 18% the decimal is 0.18 and the fraction is
9/50
Students in the fifth-grade class bought 28 yards of fabric to make pennants for a pep rally.
Each pennant requires 13 yard of fabric.
If the students have already made 35 pennants from the fabric, how many more pennants can they still make?
A. 63 pennants
B. 49 pennants
C. 21 pennants
D. 7 pennants
Answer:
C. 21 pennants
Step-by-step explanation:
35-28=7
7 divided by 1/3= 21/1 or 21
The number of pennants that can be made is given by equation A = 49 pennants
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the number of pennants required be represented as A
The amount of fabric bought by students = 28 yards
The amount of fabric required by each pennant = 1/3 yards
The total number of pennants made by students = 35 pennants
So , the number of pennants that can be made is N
N ( 1 / 3 ) = 28 be equation (1)
Multiply by 3 on both sides , we get
N = 84 pennants
So , the remaining number of pennants A = N - number of pennants made by students
On simplifying the equation , we get
The remaining number of pennants A = 84 - 45
The remaining number of pennants A = 49 pennants
Hence , the number of pennants is 49
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ3
Plz solve as a ordered pair Plz
Identify a chord that is not a diameter of the circle
Answer:
i think it is B
Step-by-step explanation:
of
On Sunday a burger Shop
Sold a cochbined total
231 hamburgers and
Cheeseburgers The number
or Cheeseburgers sold was
2 times the number of
hamburgers sold. How
many
hamburgers Sold
Step-by-step explanation:
1 : 2
Hamburger cheeseburger
(you add the 1 & 2 to make 3)
231÷3=77
1×77=77
2×77=154
77 : 154
Hamburger cheeseburger
Hope it make sense :-)
Which expression means “8 multipled by a number c, then increased by 2”?
Answer:
8c+2
Step-by-step explanation:
have a good day
Answer:
The last option: 8c + 2 i think
Step-by-step explanation:
2
Sarah works for a maximum of 40 hours per week. She needs to make at least $400 in order to cover her expenses. Her office job pays
$12 per hour and her babysitting job pays $10 per hour.
Which system of inequalities can be used to determine the number of hours she should spend working in office (x) and the number of
hours she should spend babysitting (/) to cover her expenses?
Answer:
x + y ≤ 40
10x + 12 y ≥ 400
x ≥ 0
y ≥ 0
Step-by-step explanation:
System of Inequalities
In order to model the situation stated in the problem, we'll call the following variables:
x = number of hours Sarah spends in the office
y = number of hours Sarah spends babysitting
She works for a maximum of 40 hours per week. This condition leads us to the inequality:
x + y ≤ 40
Her office job pays $12 per hour and her babysitting job pays $10 per hour.
She needs to make at least $400 per week in order to cover her expenses, thus:
10x + 12 y ≥ 400
Two obvious conditions could be added to the set of inequalities:
x ≥ 0
y ≥ 0
The system of inequalities is:
x + y ≤ 40
10x + 12 y ≥ 400
x ≥ 0
y ≥ 0
HELP ME PLEASE I WILL GIVE BRAINLIEST HELP PLS PLS PLS
Answer:
Either 180 feet, or 90 feet
Step-by-step explanation:
This is because she could just throw across the field rather than throwing it base to base.
I hope you understand!
Pentagon A'B'C'D' E' is the image of pentagon ABCDE under a dilation with a scale factor of
ID
소
C
What is the length of segment CD?
Answer:
4
Step-by-step explanation:
I took a quiz
What is the sum?
2 + (-4) =
Answer:
-2 is your answer i hope this helps
23 clothespins are placed on a clothesline at 2-foot intervals. How far is it from the first clothespin to the last one
There are 3 teachers for every 17 students at a school. If
there are 136 students, how many teachers are at the
school?
Answer:
24
Step-by-step explanation:
Every morning, a physical trainer runs 258 miles and walks 12 mile. Which expression could represent the total number of miles the physical trainer runs and walks in 9 days?
Answer:
after nine days the total will be 2,430 mile
Step-by-step explanation:
258x9=2322
12x9=108
2322+108=2430
Isaiah's regular hourly rate is $12.50. When he works overtime he receives an hourly rate of 1½times his
regular hourly rate. What is Isaiah's hourly overtime rate?
what is the growth factor of y=1.5(0.5)^x ?
Answer:
Growth factor = 5
Step-by-step explanation:
Given
[tex]y = 1.5(0.5)^x[/tex]
Required
Determine the growth factor
An exponential function is represented as: [tex]y = ab^x[/tex]
Where b is the growth factor
By comparing: [tex]y = ab^x[/tex] to [tex]y = 1.5(0.5)^x[/tex]
[tex]b = 0.5[/tex]
Hence, the growth factor is 5
David wants to donate $400 to a charity. He has already saved $125. He earns $9 each day at his after-school job. What is the least number of days that David must work to earn $400?
Answer:
About 31 days
Step-by-step explanation:
Since he already has $125, you can subtract that amount from how much he needs to earn. $400 - $125 = $275 that he must earn.
Divide the remaining amount by how much he earns a day to find the number of days he must work to reach his goal.
$275 ÷ $9 ≈ 30.5 (I got 30.5 repeating). I rounded up to 31 days.
What is the slope of the line?
Answer:
this line has a slope of 1.
Step-by-step explanation:
you choose two points on the graph that are on the line, then you put the change in y value from one point to the other over the change in x value from one point to another. simplify
If f(x)=-3x+3, then f^-1 (x)=____
Please help
Answer:
y = (-x/3) +1 or y = (-1/3 * x) + 1
Step-by-step explanation:
For the inverse of a function, you invert the y and x positions.
In your case:
y = -3x+3
The inverted function is:
x = -3y+3
When you solve this for y, you get:
-3y = x-3
y = -x/3 +1
POSSIBL
Elaine's and Aaron's daily expenses for a recent business trip are shown.
Elaine: $45, $12, $32, $62, $29
Aaron: $26, $91, $36, $57, $61
Which shows the correct mean of the data sets?
Elaine: $50
O
Aaron: $40
Elaine: $40
Aaron: $50
Elaine: $36
O
Aaron: $54 20
Elaine: $18
Aaron: $27.10
32 is 9 less than a number
Answer:
32-9=23
23
Step-by-step explanation:
Answer:
41
Step-by-step explanation: