Answer:
24.7 inches
Step-by-step explanation:
Length = 18 inches
Width = 12 inches
Height = 12 inches
Length of the longest diagonal,d = length^2 + width^2 + height^2
d^2 = 18^2 + 12^2 + 12^2
d^2 = 324 + 144 + 144
d^2 = 612
d = √612
= 24.7 of inches
Length of the longest diagonal in the box = 24.7 inches
Graph the line with slope of 53
5/3 and goes through the point (2,1).
Answer:
We kindly invite you to see the image attached for further details.
Step-by-step explanation:
From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:
[tex]y =m\cdot x +b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):
[tex]b = y-m\cdot x[/tex]
If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:
[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]
[tex]b = -\frac{7}{3}[/tex]
Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].
Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.
PLEASE HELP !!
Which graph shows a constant of proportionality of 2?
Answer:
Im pretty sure its C
Step-by-step explanation:
Hope you get it right! :)
The constant of proportionality of a line is also referred to as its slope. The graph shows a constant of proportionality of 2 is the Graph C
Constant of proportionalityThe constant of proportionality of a line is also referred to as its slope. Hence according to the question, we are to determine the line that has a slope of 2.
The formula for calculating slope of a line is expressed as:
Slope = y2-y1/x2-x1
Using the graph with coordinate points (3, 6) and (1, 2). The slope of the line is expressed as:
Slope = 2-6/1-3
Slope = -4/-2
Slope = 2
Hence the graph shows a constant of proportionality of 2 is the Graph C
Learn more on slope here: https://brainly.com/question/1884491
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Solve
7 1/2 ÷ (4 1/2 - 5 1/8)
Answer:
-12
Step-by-step explanation:
Answer:
[tex] \frac{71}{2} \div ( \frac{41}{2} - \frac{51}{8} )[/tex]
[tex] \frac{71}{2} \div ( \frac{164 - 51}{8} )[/tex]
[tex] \frac{71}{2} \div \frac{113}{8} [/tex]
[tex] \frac{71}{2} \times \frac{8}{113} [/tex]
[tex] \frac{284}{113} [/tex]
Match the graph with its equation
Yall can you answer this.
HELPPP
simplify the product (-8) (-6) (2)
I BEG HELP ME
Answer:
96
Step-by-step explanation:
Given
- 8 × - 6 × 2 ( the product of 2 negatives is a positive )
= 48 × 2
= 96
(−2,−3) after a translation right 2 units and up 4 units?
Answer:
(0,1)
Step-by-step explanation:
moving right 2 units makes it (0,-3)
moving up 4 units makes it (0,1)
Solve the following system using substitution.
6x + 3y= - 12
y= -2x -6
(3,-12)
no solution
infinitely many solutions
(2,0)
Answer:
No solution
Step-by-step explanation:
if you replace the y with -2x-6 into the first equation, you will get rid of the x's which it gives you the hint that there is no solution.
What is the value of h in the figure
below?
Answer:
12
Step-by-step explanation:
according to the pythagorous theorem
Your rating: 5.0 - Excellent!
Answer:
0.48
Step-by-step explanation:
Multiply 0.6 and 0.8 to get 0.48.
0.48
Help urgent!!!!!!!!!!!
Answer:
X= -5x hope this helped :)
what is the next number on the sequence 6,13,20,27?
Answer:
34
Step-by-step explanation: goes up in 7's
I’ll give the Brainliest to who answers these questions first.
Brock has $3084 in his checking account. He wrote checks for $350 for rent, $275 for auto repair, and $169 for a loan payment. Find the amount remaining in his account. Explain.
Linda’s pay check was for $2312. She spent $157 on rent, $322 on food, $478 on child care, $234 on transportation, and $290 on other things. She put the rest of her pay check in savings. How much did she put in savings? Explain.
Answer:
the amount remaining in brocks checking account is $2290. 3084 - 350 - 275 - 169 = 2290
Linda has $831 in her savings. 2312 - 157 - 322 - 478 - 234 - 290 = 831
Answer:
the amount remaining in Brocks account is 2,290
the amount remaining in Linda's is 353
Step-by-step explanation:
i found the amount by Subtracting
Which expression is equal to (x/2) (x+2/3)
Answer:
If is in that form (the blue part ) ,then the answer is that one
Graph the line with slope of 4/3
and goes through the point (1,3)
ANSWER THIS FAST!
Answer:
Step-by-step explanation:
y=4/3 x +b
goes through the point (1,3)
3=4/3(1)+b
b=3-4/3
b=9-4/3
b=5/3
equation : y=4/3 x +5/3
The graph of the line with slope of 4/3 and goes through the point (1,3) is shown in attached figure.
What is Equation of line?
The equation of line with slope m and passes through the point (x₁, y₁) is given as;
y - y₁ = m (x - x₁)
Given that;
The slope of line = 4/3
And, Point on line = (1, 3)
Since, The equation of line with slope m and passes through the point (x₁, y₁) is given as;
y - y₁ = m (x - x₁)
Thus, The equation of line with slope 4/3 and passes through the point (1, 3) is given as;
y - 3 = 4/3 (x - 1)
Solve as;
3 (y - 3) = 4 (x - 1)
3y - 9 = 4x - 4
3y = 4x - 4 + 9
3y = 4x + 5
y = 4/3x + 5/3
Thus, The equation of line will be;
y = 4/3x + 5/3
So, The graph of the line y = 4/3x + 5/3 is shown in attached figure.
Learn more about the equation of line visit:
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At a sale, the $39.97 original price of the shirt was marked down to $15.99. About
what percent of decrease is this?
Evaluate [7] + | - 3|
Answer:
=[7]+|-3| solve for the absolute value {-3 ->3}
=7+3
=10
Answer:
10
Step-by-step explanation:
Whenever you see those numbers in those specific brackets, it's asking for the absolute value of that number.
The absolute value is the distance from 0.
So, if you see -3 in those brackets, it's 3 because both -3 and 3 are 3 spaces from 0.
So 7 + 3 = 10.
Richard had his car repaired at a body shop.
The parts cost $100.
The technician charged $52 per hour.
. His total bill was $308.
How many hours did the technician work on Richard's car?
Answer:
5.9 hours
Step-by-step explanation:
in which quadrant does (-3, -1.5) and (-3, 8.5) lie?
Answer:
The first one would be the third one and the second one would be the second one.
Step-by-step explanation:
The first quadrant is a (Positive, Positive), the second one is a (Negative, Positive), the third one is a (Negative, Negative) and the fourth one is a (Positive, Negative)
The perimeter of a rectangle is 42 centimeters. The length of the rectangle can be represented by (x+4) and its width can be represented by (2x - 7). What equation would you use to solve for x? *
Answer:
2(x+4) + 2(2x-7) = 42 ( If this is wrong simplify this)
Step-by-step explanation:
The formula for perimeter is (2 x length) + (2 x width), so our equation would be 2(x+4) + 2(2x-7) = 42
which ordered pairs is a solution to the equation y=4x-17? (it’s more then one )
Answer:
(1,-13) (4,-1) (7,11)
Step-by-step explanation:
Those are all the correct order pairs!!
hope this helps!
(-9.5) to the power of 0
Which one of these is a factor in this equation?
Answer:
A
Step-by-step explanation:
Because when a expression or number is multiplied by another expression or number it makes a equation
Keiko runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes?
Answer:
4.8 miles
Step-by-step explanation:
Set up a ratio, Kelvin.
6/55 = x/44
55x = 6(44)
55x = 264
x = 264/55 = 4.8 miles
The graph of a function is shown below 8 Which inequality represents the domain of the function?
Carla makes a scale drawing of her garden that is 30 feet long and 24 feet wide. If the garden in her drawing is 20 inches long. What is the width in inches
Answer:
Sorry you will have to clarify more on the width I do not under stand :/
Step-by-step explanation:
Answer: A=14
Step-by-step explanation: 1 foot = 12 inches so 30 feet = 20 inches which is 30 - 10 so 24 - 10= 14
I drive at 55 miles per hour, and my trip will takr 5 hours. Proportional or non proportional
Answer:
Proportional
Step-by-step explanation:
Here, we want to know if the distance at the given time will be proportional
What we will do here is to simply divide the distance by the time
Mathematically, that will be 55 miles/ 5 hours = 11 miles / hour
So this means that in an hour, 11 miles will be traveled
This expression is proportional
5a+8+(-2a)=-7
I need help with this question especially because of the parenthesis
Answer:
5a+8+(-2a)=-7
5a+8-2a=-7
5a-2a=-7-8
3a=-15
3a/3=-15/3
a=-5
Answer:
a = -5
Step-by-step explanation:
Simplify both sides:
5a + 8 + (-2a) = -7
(5a + -2a) + 8 = -7
3a + 8 = -7
Start solving for a by subtracting 8 from both sides
3a+8-8 = -7 - 8
3a = -15
Next, divide both sides by 3
3a/3 = 1
-15/3 = -5
a = -5
place the following in order least to greatest
square root of 11
square root of 40
6
5
Answer:
sqaure root of 11
5
6
square root of 40
Step-by-step explanation:
square root of 11- 3.31
sqaure root of 40- 6.32
6
5
hope this helps :)
What is the result of solving this equation for x?
y−b=m(x−a)
Answer:
( y-b) / m +a = x
Step-by-step explanation:
y−b=m(x−a)
Divide each side by m
(y−b)m=m/m(x−a)
( y-b)/m = x-a
Add a to each side
( y-b) / m +a = x-a+a
( y-b) / m +a = x
Answer:
y − b = m(x − a)
y − b = mx - ma
(y - b) / m = x - a
((y-b)/m) + a = x