The required equation is y = -(3/2)x + 3 in slope-intercept form.
What is the standard form of linear equations?A linear equation is written in the standard form as Ax + By = C, where A, B, and C are integers and x and y are variables.
For example, 8x + 2y = 7 is the standard form of a linear equation in two variables.
The equation is given in the question, as follows:
12x + 8y = 24
Isolate the variable of y for the above equation,
8y = - 12x + 24
Divided both sides by 8 into the equation,
y = - (12x)/8 + (24)/8
y = -(3/2)x + 3
This equation is in slope-intercept form.
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Find the distance between the points (-3,7)
and
(6, 7).
Answer:
9
Step-by-step explanation:
use the distance formula:
[tex]\sqrt{(x2 -x1)^{2} + (y2-y1)^{2} }[/tex]
so, with your two points, x2=6, x1=-3, y2=7, and y1=7
so then just plug in the values
[tex]\sqrt{(6--3)^{2} + (7-7)^{2} }[/tex]
because you have 6 minus a negative number, it turns into 6+3, like shown
[tex]\sqrt{(6+3)^{2} + (7-7)^{2} }[/tex]
so then add and subtract the parenthesis
[tex]\sqrt{(9)^{2} + (0)^{2} }[/tex]
so then because 0 squared is just zero, you simply have the square root of 9 squared
[tex]\sqrt{9^{2} }[/tex]
so then square the 9
[tex]\sqrt{81}[/tex]
then take the square root of 81, and you get 9!
[note that when you have the square root of a squared number, it is just the number, so the square root of 9 squared is just 9, but if it helps, you can work it out like I did to show you :)]
The distance between the points (-3, 7) and (6, 7) is 9.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
Where (a, b) and (c, d) are the two points.
We have,
(-3, 7) = (a, b)
(6, 7) = (c , d)
Now,
Distance between these two points.
= [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]
= √(6 + 3)² + (7 - 7)²
= √9²
= 9
Thus,
The distance between the points is 9.
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Which of the following is a solution to the equation
2x² + 4x=3+3x² ?
A) - 1
B) 0
C) 3
D) 6
what is 234 divided by 2 pls help me
Answer:
the answer 117
Step-by-step explanation:
The 234 divided by 2 is 117.
To calculate 234 divided by 2, we perform the division operation step by step.
Step 1: Divide 234 by 2.
234 ÷ 2 = 117
The result of 234 divided by 2 is 117. When you divide 234 by 2, you are essentially dividing 234 into two equal parts. Each part contains 117. This can be confirmed by performing the calculation:
234 ÷ 2 = 117
Therefore, 234 divided by 2 is 117. Division is the inverse operation of multiplication, and in this case, we find that 234 is evenly divisible by 2, resulting in a whole number quotient of 117.
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Can anyone help me with this please?? Tysm!
Simplify negative 6.5 times 2 times negative 5
Answer:
-65
Step-by-step explanation:
6.5*2*-5=-65
Answer:
65
Step-by-step explanation:
-6.5 x 2 x -5
-6.5 x 2
-13
-13 x -5
65
You're saying 5/6 + 7/8 has the greatest possible value.
How do you know for sure?
Plz help me
Answer:
yes you are saying 5-9-16 is greatest possible value but how can you show it please help me I am also
need helps fasgt plss
Answer:
I think total area=36
Step-by-step explanation:
By finding ar. of all 4 triangles separately by the formula 1/2×base×height
25% of 28 is ______.
does anyone know the answer?
Answer:
it is 7
Step-by-step explanation:
you have to find 50% 28 and to do that you have to do 28/2=14 and then divide that by two 14/2=7 so seven is the answer can i have brainliest
Answer:
the answer is 7
Step-by-step explanation:
Function k is a continuous quadratic function that includes the ordered pairs shown in the table.
Over which interval of the domain is the function increasing?
i didnt mean to click B btw
Answer:
B
Step-by-step explanation:
It appears to be B because this quadratic function faces down (-ax^2) and the vertex or highest point of this function is when x=1. Thus, the interval of the domain that the function increases must be from negative infinity to 1, giving the answer B.
A company orders 24 boxed lunches from a deli for $238.80. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
Answer:
$9.95
Step-by-step explanation:
$238.80 ÷ 24 = $9.95
$238.80 ⇾ The final cost of boxed lunches altogether.
24 ⇾ The number of boxed lunches bought.
$9.95 ⇾ The unit price of boxed lunches after dividing the final cost($238.80) by the amount bought(24).
Hope this wasn't confusing. o(^▽^)o
✨Hope this helps✨
Can someone please help me?
Answer:
1. lines B and C are congruent
2. lines M and N are congruent
3. Lines A and C are congruent ?
4. Angle 1: 76 Angle 2: 61
Step-by-step explanation:
Which term does not represent the same data as the others?
range
output
x-value
second element
Answer: x-value
Step-by-step explanation:
the x-value is the input, domain and 1st element.
Answer:
x-value
Step-by-step explanation:
how many moles is 264.06 grams of carbon dioxide?
EMERGENCY! Please give me the correct answer!
Answer: 1/2 x 1/2 x 1/2 x 1/2
Step-by-step explanation:
What is the equation of a line that passes through the point (-7,-8) and parallel to y=5/7x-5.
Answer:
The equation of the line that passes through the point (-7, -8) and parallel to the given line is y = 5/7·x - 3
Step-by-step explanation:
The coordinates of the point the line passes = (-7, -8)
The equation of the line the required line is parallel to is y = 5/7·x - 5
The slope of of the given line is therefore in slope and intercept form with the slope = 5/7 and the y-intercept = -5
The slope of a line parallel to another line are equal, therefore the slope of the required line = The slope of the given line = 5/7
The equation of the required line in point slope form is therefore;
y - (-8) = 5/7 × (x - (-7))
y + 8 = 5/7 × x + 5/7 × 7
y + 8 = 5/7 × x + 5
∴ y = 5/7 × x + 5 - 8 = 5/7 × x - 3
y = 5/7 × x - 3
The equation of the line that passes through the point (-7, -8) and parallel to y = 5/7x - 5 is y = 5/7·x - 3.
3. What is the solution set of the equation 3x + 5) = x + 2?
2x2+ 5x -4 = 0
• _Value of the Discriminant:
• Number of Solutions:
• Number of x-intercepts:
• Type of Solutions:
Answer:
Step-by-step explanation:
value of discriminant:
[tex]5^{2} - 4 (2)(-4)\\=25+32\\=57\\[/tex]
As the value of discriminant is larger than zero, so there are 2 distinct solutions.
2 solutions also mean there are 2 x-intercepts.
Sadie has $1 worth of nickels and dimes. She has twice as many nickels as dimes. Write a system of equations that could be used to determine the number of nickels and the number of dimes that Sadie has. Define the variables that you use to write the system.
The system of equations which can be used to model the scenario are :
n = 2d _____________(1)0.05n + 0.10d = 1 _____(2)Let :
Number of dimes = d Number of nickels = n Number of nickels = 2 × number of dimes n = 2d - - - - - (1)
Worth of nickels and dimes:
A dime = $0.10A nickel = $0.05The total worth of nickel and dimes can be expressed thus :
(Worth per nickel × number of nickels) + (worth per dime × number of dimes) (0.05 × n) + (0.10 × d) = 0.05n + 0.10d = 1Therefore, the systems of equation required are :
n = 2d _____________(1)0.05n + 0.10d = 1 _____(2)Learn more : https://brainly.com/question/15165519
Find the missing side
Answer:
its E 21
Step-by-step explanation:
Need Answer ASAP! 30 POINTS !
A recipe for a casserole calls for 1 cup of milk. If a chef currently has 0.5 gallons of milk, how many casseroles can the chef make?
Answer:
5
Step-by-step explanation:
Helpppp meeeee
Find the value of earache missing variable
9. When graphing, what does the y intercept describe? *
The place where the line or curve crosses, or touches, the x axis
The place where a line or gurve crosses, or touches, the y axis
O I don't know.
Answer:
Every straight line can be represented by an equation: y = mx + b. ... The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Consider the sequence –8, –4, 0, 4, 8, 12, …. Select True or False
An explicit rule for the sequence is
f (n) = -8 + 4(n - 1)
true
false
(4v³w)(-2w³)² in simplest form
Answer:
16 v^3 w^7
Step-by-step explanation:
Simplify the following:
4 v^3 w (-2 w^3)^2
Hint: | Distribute exponents over products in (-2 w^3)^2.
Multiply each exponent in -2 w^3 by 2:
4 v^3 w×(-2)^2 w^(2×3)
Hint: | Multiply 2 and 3 together.
2×3 = 6:
4×(-2)^2 v^3 w w^6
Hint: | Evaluate (-2)^2.
(-2)^2 = 4:
4×4 v^3 w w^6
Hint: | Combine products of like terms.
4 v^3 w×4 w^6 = 4×4 v^3 w^(1 + 6):
4×4 v^3 w^(1 + 6)
Hint: | Evaluate 1 + 6.
1 + 6 = 7:
4×4 v^3 w^7
Hint: | Multiply 4 and 4 together.
4×4 = 16:
Answer: 16 v^3 w^7
Which number best represents the point graft on a number line -10 -9 -8 -7 -6 -5 point -4 -3 -2 -1
Answer:
-7 and -4
Step-by-step explanation:
try and poin them on a graph
help me please i need help
Um question there is no question so I cannot answer,,,
Answer:
i'll help you
Step-by-step explanation:
122212i3jewfc ndskja cyas queen
Which behavior would be unethical
A a regular hotel receives his favorite window table even though another reserved it
B a hotel has overbooked and made alternate for some of their confirmed guest
C a hotel offers discount rates in the off season
D a hotel offers different rates to corporate guest and individuals
What is the difference between the function's values on Day 1?
0
35
70
105
20 points question is in the pic pls hurry will also brainliest
Answer:
( 1 , 4 )
Step-by-step explanation:
This Is Where The Coordinates Of M Are IN the Graph. Hope This Helps! Please Rate Brainiest!
-Aslina
A number is written with a base and an exponent. What is
another name for the exponent?
-rational number
-base
-exponent
-power
Answer:
power
Step-by-step explanation:
The another name for the exponent is power, the correct option is D.
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
Given;
A number is written with a base and an exponent
Now,
n exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself and exponent is also called index or power.
Therefore, the answer will be exponent.
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