Answer:
TA of longer piece = 2(lw) + 2(hw) + 2(lh) 2*1*1 +2*6*1 + 2*1*6 = 2 + 12 + 12 = 26 TA of shorter piece = 2(lw) + 2(hw) + 2(lh) = 2*1*1 + 2*3*1 + 2*1*3 = 14 Add the two surface areas together. 26 + 14 = 40 Subtract the area where the two pieces of wood are attached. Because that section will not be painted on either piece of wood, two times that area must be subtracted. 40 - (2*1*1) = how many square inches of purple?
Step-by-step explanation:
27. 10) Three and one half dozen equals? *
I
Answer:
I think it is 42.
Because one dozen is equal to 12, and we have 3 dozens, which is equal to 36, then add a half dozen, which is 6, then the total answer will be:
12+12+12+6= 42
I hope this helps.
Answer:
42
Step-by-step explanation:
3.5 dozen is 42
Dozen is 12. 12*3.5= 42
The science club is comparing options for purchasing new T-shirts. One company charges a $100 base fee plus an additional $3.50 per shirt. A second company charges a $120 base fee but only an additional $2.50 per shirt. The given expression represents the difference of the two companies’ average cost per shirt.
Which expression is equivalent to the expression representing this situation?
Answer:
A
Step-by-step explanation:
We have a common denominator, so we can just subtract the numerators, and leave it over the given denominator.
[(3.5x+100)-(2.5x+120)]/x
(3.5x+100-2.5x-120)/x
(1x-20)/x
(x-20)/x=A
Answer:
A
Step-by-step explanation:
Just took the test
find the derivative of tan^-1 x
Styles
Because you want to prepare and serve the healthiest food possible, you monitor the fat
and calorie content of items on your menu. Some of the menu items are included in the
graph below
Answer:
Yes, my partner is correct because as the fat increases the calories increase. And when the points are rising from the left to the right, this indicates a positive correlation.
Step-by-step explanation:
helppp pls 20 points !!
A line passes through the point (-6,7) and has a slope of -4/3. Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
y-7= -4/3 (x+6)
y-7= -4/3x-8
add 7 to both sides
y= -4/3x-1
The equation in slope-intercept form for the given line is 3y = -4x -3
What is Equation?The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that a line passes through the point (-6,7) and has a slope of -4/3.
Standard equation of a line = y = mx + c where m is the slope,
Therefore, putting values of x and y to get the value of c
7 = -6*-4/3 + c
c = 7 - 8
c = -1
Equation = y = -4x/3 -1
Or, 3y = -4x -1
Hence, the equation of a line passing through the point (-6,7) and has a slope of -4/3 is 3y = -4x -1
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Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions. PLS HELP ILL GIVE BRAINLIEST
Answer:
x is eighteen
y is fifty four
Answer:
x= 18 degrees and y=54 degrees
Step-by-step explanation:
Look at the top of the line AB. You can see that
3x+y+72=180
Now, look at the left side of the line CD. You can see that
y+90+2x=180
Hence, you have 2 equations in 2 unknows, which are possible to solve.
In resume, the 2 equations are:
3x+y+72=180
2x+y+90=180
By substracting the second equation to the first one, it yields
x-18=0
which implies x=18.
Now, we can susbstitute this value on the fist equation:
3(18)+y+72=180
54+y+72=180
y+126=180
y=180-126
y=54
We can corroborate these result in the second equation:
2(18)+54+90=
36+54+90=
90+90=
180.
Thats right !!
Which expression is equivalent to 4x+6y-8x
Answer:The expression is 6y - 4x
Step-by-step explanation:
Answer:
-4x+6y
Step-by-step explanation:
4x+6y-8x4
(4x-8x)+6y
−4x+6y
Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another
right triangle. Which congruence theorem can be used to prove that the triangles are congruent?
O AAS
O SSS
O SAS
OHL
Answer:
hypotenuse leg theorem or OHL
Step-by-step explanation:
Since the congruent angle is a right angle and it is not included, the two congruent sides of the triangles must include their hypotenuses and one of their legs.
The triangles would be congruent by the hypotenuse leg theorem, which states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.
The congruence theorem that can be used to prove both triangles are congruent is: AAS
What is congruence theorem?As per this theorem the two triangles are congruent if two angles and a side not between these two angles of one triangle are congruent to two corresponding angles and the corresponding side not between the angles of the other triangle.
What is AAS Congruency Theorem?This one denotes Angle - Angle - Side and it means that if 2 angles and the non-included side of a triangle are equal to corresponding 2 angles and the non-included side of another triangle, then they are both congruent.
When we have two triangles in which the two angles and a non-included side of one is congruent to the corresponding two angles and corresponding non-included side of the other, both triangles can be proven to be congruent by the AAS Congruence Theorem.
Since the two sides and the non-included side of one triangle is congruent to the corresponding two sides and the non-included side of the other, the congruence theorem that can be used to prove both triangles are congruent is: AAS
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have of a certain number is 3more than the number
Which expression is equivalent to 6(x – 4)? –6x + 4 6x – 4 6x – 24 –6x + 24
Answer:
6x -24
Step-by-step explanation:
You just develop :
6(x-4)
6*x - 6*4
= 6x-24
Answer:
6x -24
Step-by-step explanation:
im rights trust
A cube with a side of 1m was sawn into cubes with a side of 1 cm and then laid in a row (in a straight line). What was the length of this series?
Answer:
10 km
Step-by-step explanation:
volume of cube = s^3
1 m = 100 cm
volume = s^3 = (1 m)^3 = (100 cm)^3 = 1,000,000 cm^3
Since 1 m^3 = 1,000,000 cm^3, when you lay down the 1-cm cubes in a straight line with the edges touching, the line is 1,000,000 cm long.
1,000,000 cm = 10,000 m = 10 km
the inverse of the function
Answer:
B
Step-by-step explanation:
f^-1(x)=3x/7-9/7
Plzz Due today!
The table below represents a linear function f(x) and the equation represents a function g(x): (See pic)
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answer:
Step-by-step explanation:
A.
slope of f(x) remember that m=rise /run and see how you get from point (0,0) to (1,3) for example
m= rise 3/ run 1= 3
slope of g(x) you find by comparing it to y=mx+b wher m is slope and b is intercept so g(x) slope is m = 7
Slope of f(x) is 3 and slope of g(x) is 7 so g(x) go upward faster.
B.
again compare g(x) =7x+2 with y=mx+b where b is the y-intercept
g(x) has y-intercept at (0,2)
we can see from the table that at x=0 the y-intecept is 0
f(x) has y-intercept at (0, 0)
g(x) has a greater y-intercept point
read the photo and please answer!! please someone help me answer this and please do give explanation to your answer!
w + 3 = 16
w/3 = 16
w-3 =16
3w = 16
Answer:
w + 3 = 16
Step-by-step explanation:
"w" is "how many more weeks" and ( + ) she already did her chores for 3 weeks straight.
w + 3 = 16
What is -7 as a fraction and explain plss
Answer:
-7/1
Step-by-step explanation:
any number over 1 in a fraction is the number on the top of one for example
2/1 is 2 and 100/1 is 100 and even -7/1 is -7
Complete the table of values for this equation:
y = 5x +20
Enter your answer by filling in the boxes.
x y
2
3
4
Answer:
X y
2 30
3 35
4 40
Step-by-step explanation:
Putting the value of x in equation u will get the value of y
The required table of values given that y = 5x + 20 will be given as
x y
2 30
3 35
4 40
Given the linear equation y =5x + 20
In order to fill the table, we will have to calculate the y-values for the corresponding x values given.
If x = 2
y = 5(2) + 20
y = 10 + 20
y = 30
If x = 3
y = 5(3) + 20
y = 15 + 20
y = 35
If x = 4
y = 5(4) + 20
y = 20 + 20
y = 40
Hence the required table of values will be given as
x y
2 30
3 35
4 40
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classify the triangle based off of the measurements of its sides 30m, 30m
Answer:
i got it
its an isosceles triangle bc two sides are equal.
A scientist digs near an ancient city,
She finds a cup buried at -9 feet. She finds a plate buried at -2 feet.
Use absolute value to show which was buried farther from the surface.
O A The plate is farther from the surface, because i-91 is greater than
1-21
O B. The plate is farther from the surface, because - 9 is greater than -
2
C. The cup is farther from the surface because -91 is greater than -
21
D. The cup is farther from the surface because - 9 is less than -21
Answer:
C
Step-by-step explanation:
Ok, so the |-9| = 9. |-2|=2.
The cup (buried at -9 feet) is farther from the surface because 9 > 2/
How can we multiply fractions
Answer:
There are three simple steps...
Step-by-step explanation:
Step 1: Multiply the numerators from each fraction by each other (the numbers on top). The result is the numerator of the answer.
Step 2: Multiply the denominators of each fraction by each other (the numbers on the bottom).
Step 3: Simplify or reduce the answer.
Jessica is shopping for a new car. She found a blue car that has a 12-gallon gas tank and can go 384 miles on one tank. She found a silver car that has a 14-gallon gas tank and can go 504 miles on one tank. Which car gets better gas mileage?
Best answer = More points!
Answer: Silver
Step-by-step explanation:
Answer:silver
Step-by-step explanation: I did it
Please help Which of the following inequalities is graphed on the coordinate plane?
Answer:
The inequality which represents the graph is y ≤ -2x + 1 ⇒ A
Step-by-step explanation:
To solve the question you must know some facts about inequalities
If the sign of inequality is ≥ or ≤, then it represents graphically by a solid lineIf the sign of inequality is > or <, then it represents graphically by a dashed lineIf the sign of inequality is > or ≥, then the area of the solutions should be over the lineIf the sign of inequality is < or ≤, then the area of the solutions should be below the lineLet us study the graph and find the correct answer
∵ The line represented the inequality is solid
∴ The sign of inequality is ≥ or ≤
→ That means the answer is A or B
∵ The shaded area is the area of the solutions of the inequality
∵ The shaded area is below the line
∴ The sign of inequality must be ≤
→ That means the correct answer is A
∴ The inequality which represents the graph is y ≤ -2x + 1
The price for gasoline is represented by the equation y = 2.72x, where y r represents the total price for x gallons of gasoline
Answer:
Statement A is TRUE.
Given an x value of 15, y would be ;
= 2.72 * 15
= 40.8
Coordinates would therefore be (15, 40.8)
Statement B is FALSE.
The coordinates of Y given are impossible given the coordinates of X. In this scenario, Y must always be greater than X as a result of the equation.
Statement C is TRUE.
The slope in the equation takes the form of the $2.72 price being charged per gallon of gasoline such that the total price of x gallons can be calculated by multiplying the number of gallons by $2.72
Statement D is FALSE.
If the price of gasoline were to decrease by $0.03, the slope would become 2.69 not 2.75. 2.75 would be the new slope if the price had increased by $0.03 instead of decreased.
Write an equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).
Line CD is shown. C is at 1, 1. D is at 3, 5.
y = −0.5x − 5.5
y = −0.5x + 5.5
y = 2x + 13
y = 2x − 13
Answer:
its b
Step-by-step explanation:
i took the test
y = - 0.5x + 5.5 is the equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is y = mx + c.
Here, x and y are coordinates, m is the slope and c is the y-intercept of the line.
Given, two points are C(1, 1) and (3, 5).
Therefore, equation of the line CD is:
[tex]\frac{x - x_{1} }{y-y_{1} }[/tex] = [tex]\frac{x_{1}-x_{2}}{y_{1}-y_{2}}[/tex]
⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{1-3}{1-5}}[/tex]
⇒ [tex]\frac{x - 1}{y-1}[/tex] = [tex]\frac{-2}{-4}}[/tex]
⇒2(x - 1) = (y - 1)
⇒ y = 2x - 1
Let, line AB is perpendicular to the line CD and passes through the point (-1, 6).
Therefore, slope of the line CD is = 2.
We know, slope of CD × slope of AB = -1
Therefore, slope of AB = -1 / slope of CD = [tex]-\frac{1}{2}[/tex].
Now, line AB has a slope of [tex]-\frac{1}{2}[/tex] and passes through the point (-1, 6).
Therefore, equation of the line AB is:
(y - y₁) = m(x - x₁)
⇒ [y - (6)] = [tex]-\frac{1}{2}[/tex][x - (- 1)]
⇒ 2(y - 6) = (-x - 1)
⇒ 2y - 12 + x + 1 = 0
⇒ x + 2y = 11
⇒ y = - 0.5x + 5.5
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Write the slope intercept form of the equation of the line through the given point plz
Five years ago, John’s age was half of the age he will be in 8 years. How old is he now? Show your steps.
Answer: John is 18 now
Step-by-step explanation:
If his age 5 years ago was half of his age 8 years from now, the equation can show that doubling that age will be equal to his current age plus 8 years.
2(x-5) = x + 8 . diistribute
2x - 10 = x + 8 Subtract x from both sides 2x -x +10 = x-x +8
x -10 = 8 . Add 10 to both sides . x -10 +10 = 8 + 10 simplify.
x = 18
Check:
18-5=13, 18+8= 26 . 13 is half of 26. True.
Convert 40 miles per hour to feet per second.
Answer:
Step-by-step explanation:
58.6667
Answer:
The answer is 58.6667
-8(17-12)
What is the value of -2(8-(-2))?
0-4
0-2
O 2
O 4
Answer:
The first one is -40. The second one is -20.
Step-by-step explanation:
With the 1st one you do 17-12 which is 5 and 5*-8 is -40. With the 2nd one, 8-(-2) is 10 and 10*-2 is -20.
Find the solution to the system -6×+8y=12 and -3×+4y=6
Answer:
hey can you please answer my biology question
Step-by-step explanation:
pleaseeeeeeeee
i really need
help.
Answer:
y = 3/4x + 3/2
x = 4/3y - 2
There are infinitely many solutions.
__________
To prove these equation are the same
multiply every quantity by 2 using the multiplication property of equality.
[ -6x + 8y = 12 ] = 2 [ -3x + 4y = 6 ]
2(-3x) + 2(4y) = 2(6) = 2(-3x) + 2(-4y) - 2(6) = -6x + 8y = 12 = -6x + 8y - 12
2(-3x) + 2(4y) - 2(6) = -6x + 8y - 12
-6x + 8y - 12 = -6x + 8y - 12
+6x -8y +12 +6x -8y + 12
(The general property of equality, what you do to one side, you must do to the other)
0 = 0 [always true]
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
