simplify the following expressions ( use distributed property )
The area of a trapezium is 360 cm² and its height is 18 cm. If one of the parallel sides is longer than the other by 6 cm, then the two parallel sides are.
Answer:
The two parallel sides a and b are 17 cm and 23 cm respectively
Step-by-step explanation:
Area of a trapezium = {(a+b)/2} h
Where
h = height = 18 cm
a = parallel side 1 = x
b = parallel side 2 = x + 6
Area of a trapezium = {(a+b)/2} h
360 = {(x + x + 6) / 2} 18
360 = { (2x + 6) / 2} 18
360 = (2x + 6) 9
360 = 18x + 54
Subtract 54 from both sides
360 - 54 = 18x
306 = 18x
Divide both sides by 18
x = 306 / 18
= 17
x = 17 cm
a = parallel side 1 = x
x = 17 cm
b = parallel side 2 = x + 6
x + 6
= 17 + 6
= 23 cm
PLEASE HELP ME I WILL REWARD YOU BRAINLIEST: find the slope of the line through each pair of points [tex](\frac{2}{3} , \frac{4}{7} ) and[/tex][tex](\frac{2}{3} , \frac{11}{7} )[/tex]
Answer:
The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Step-by-step explanation:
i googled it
find the distance between the two points rounding to the nearest tenth (if necessary)
(8,-4)and (3,8)
The distance between the given points is 13 units.
We have two coordinate points A(8, -4) and B(3, 8).
We have to determine the distance between these two points.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of 1st point - A(8, -4)
Coordinates of 2nd point - B(3, 8)
Using the distance formula given -
d = [tex]\sqrt{(3-8)^{2} + (8-(-4)^{2} }[/tex]
d = [tex]\sqrt{(-5)\times (-5) + (12)\times (12)}[/tex]
d = [tex]\sqrt{25 + 144}[/tex]
d = [tex]\sqrt{169}[/tex]
d = 13 units
Therefore, the distance between the given points is 13 units.
To solve more questions on Distance formula, visit the link below -
brainly.com/question/12662141
#SPJ2
Can someone help me with this please
===========================================
Explanation:
For now, ignore the variables. Let's just focus on the coefficients 12 and 16.
The GCF of 12 and 16 is 4 because this is the largest factor they have in common.
12 = 4*3
16 = 4*4
You could create a factor tree to get the prime factorization of each number
12 = 2*2*3
16 = 2*2*2*2
Each factor tree has two copies of '2' leading to the GCF 2*2 = 4.
--------
Now let's go back to the variables. The term 12n and 16w^3 do not have any variables in common. So the final answer won't have any variables in it. If both terms had say a 'w' in them, then w would somehow be involved in the GCF. But that's not the case here. So we just stick to 4 as our answer.
--------
Side note: If you had 12n+16w^3 and you wanted to factor, then you would factor out the GCF 4 to get 12n+16w^3 = 4(3n+4w^3). Use the distribution rule to confirm this.
Given f(x) = 5x - 3, find f(-2).
Answer:
-13
Step-by-step explanation:
Subsitude -2 to where x is and you get -1o then subtract by -3 and the total is -13
Point D is on line segment CE.Given DE = 4 and CD
СЕ. .
8, determine the length
CE
On her birthday, Jenny took a treat to school. She took 6 packs of 4 cupcakes and 3 packs of 8 candy bars. How many items did she take to school in all? Choose the answer that has the correct expression and the correct answer to the question.
Answer:
48 items
Step-by-step explanation:
6 packs of cupcakes with 4 in them, is 24 items. and 3 packs of candy with 8 pieces in them is also 24. 24+24=48. so (6×4)+(8×3)=48
Answer:
48
Step-by-step explanation:
6 x 4 = 24 Plus 3 x 8 = 24. If you add 24+24 its 48.Patricia is ordering t-shirts for her business. Company A charges $10.50 for each t-shirt and a one-time design fee of $45. Company B charges $12.50 for each t-shirt and a one-time design fee of $35.
Which inequality can be used to find x, the minimum number of t-shirts that can be ordered so that the total charge at Company A is less than the total charge at Company B?
10.5+45x>12.5+35x
10.5x+45>12.5x+35
10.5+45x<12.5+35x
10.5x+45<12.5x+35
ILL MAKE MOST BRAINLIEST PLS ANSWER!!!
Answer:
I think the answer would be the fourth answer or the second answer.
sorry if its not the correct answer.
Step-by-step explanation:
D; 10.5x + 45 < 12.5x + 35
We are told that;
Charges of Company A; $10.50 for each t-shirt plus one-time design fee of $45. If x is the minimum number of shirts ordered so that the charge at Company A is less than the total charge at Company B. Thus;C_a = 10.5x + 45
Similarly, we are told that;
Charges of Company B; $12.50 for each t-shirt plus one-time design fee of $35. If x is the minimum number of shirts ordered so that the charge at Company A is less than the total charge at Company B. Thus;C_b = 12.5x + 35
Since we want to make C_a < c_b
Then, we will have;
10.5x + 45 < 12.5x + 35
Read more at; brainly.com/question/4853862
what is 2.5 (x - 1) + 4.5 (-x - 2)
Answer:
2.5(x-1)+4.5(-x-2)
2.5x-2.5-4.5x-9
-2x-11.5
Step-by-step explanation:
Answer:
2x-11.5
Step-by-step explanation:
[tex]2.5(x-1)+4.5(-x-2)\\2.5x-2.5+4.5x-9\\2.5+2x-9\\2x-11.5[/tex]
hope this helps
800 students are going on a school trip by bus.
Each bus can carry 34 students.
Work out the smallest number of buses needed to carry all the students.
Answer:
24 buses
Step-by-step explanation:
In order to find the answer, we need to divide the number of students by the capacity of each bus. There are 800 students and each bus carries 34.
800/34=23.5
Since we can't have half of a bus, we round up to 24.
24 buses
What is the remainder when x 3 − 7x + 5 is divided by x + 3 ?
the remainder is - 1
Step-by-step explanation:when (x ³ - 7x + 5) is divided by (x + 3) the remindeer is f( -3 )
x + 3 = 0 => x = - 3
f(-3) = (-3)³ - 7(-3) + 5
= - 27 + 21 + 5
= - 1
szfdxgcvjhgfdshdxfjcgkvhlkgfgd
Answer: B
Step-by-step explanation:
-6.53, -6 1/4, 6.57, 6 3/4.
4-(2y-1)=2(5y+9)+y please help quick
Step-by-step explanation:Step 1: Simplify both sides of the equation.
4−(2y−1)=2(5y+9)+y
4+−1(2y−1)=2(5y+9)+y(Distribute the Negative Sign)
4+−1(2y)+(−1)(−1)=2(5y+9)+y
4+−2y+1=2(5y+9)+y
4+−2y+1=(2)(5y)+(2)(9)+y(Distribute)
4+−2y+1=10y+18+y
(−2y)+(4+1)=(10y+y)+(18)(Combine Like Terms)
−2y+5=11y+18
−2y+5=11y+18
Step 2: Subtract 11y from both sides.
−2y+5−11y=11y+18−11y
−13y+5=18
Step 3: Subtract 5 from both sides.
−13y+5−5=18−5
−13y=13
Step 4: Divide both sides by -13.
−13y
−13
=
13
−13
y=−1
Answer: y =-1
Here, this is a linear equation in one variable because only one variable is there, y. We need to find the solution i.e the value of y.
Given, equation:
[tex]4 - (2y - 1) = 2(5y + 9) + y[/tex]
We need to find y, So let's isolate y in any one side of the equation. Before that, let's open the parentheses.
[tex]4 - 2y + 1 = 10y + 18 + y[/tex]
[tex]5 - 2y = 11y + 18[/tex]
Now, let's add 2y to both sides, So that -2y on the left hand side gets cancel.
[tex]5 - 2y + 2y = 11y + 18 + 2y[/tex]
[tex]5 = 13y + 18[/tex]
Flipping the equation for easy calculation,
[tex]13y + 18 = 5[/tex]
Solving further,
[tex]13y = - 13[/tex]
[tex]y = \frac{ - 13}{13} [/tex]
[tex] \boxed{y = - 1}[/tex]
Hence, we are done !!
━━━━━━━━━━━━━━━━━━━━
I NEED HELP ASAP PLEASEEEE
Evaluate the expression for w = 9.
2w − 2 =
Answer:
2w-2=16
Step-by-step explanation:
w=9
2w-2
2(9)-2
18-2
16
Answer:
16
Step-by-step explanation:
When we have an expression and we are given the value of the variable, we can substitute inside the expression and find it’s value.
[tex]2w-2[/tex], we know [tex]w=9[/tex] so:
[tex](2\cdot 9) - 2[/tex]
[tex]2\cdot9=18[/tex]
[tex]18-2\\\\16[/tex]
Hope this helped!
What is the y-intercept of the line that is
perpendicular to y = -3x - 5 and passes
through the point (-3,7)?
A-3
B 1/3
C 8
D 10
Answer:
The y-intercept of the line would be (C) 8
Step-by-step explanation:
The slope of the line with the equation y = -3x - 5 is -3. When figuring out a slope perpendicular to another line you would use the negative reciprocal of the slope which would lead to the slope of the line to be 1/3.
We know it passes through the point (-3,7), substituting x and y, we would then get our new equation, [tex](7) = \frac{1}{3}( -3) + b[/tex].
Solve the equation by multiplying -3 with 1/3 and the product would be -1. Add negative one on both sides and you would get 8 = b.
Martina drove 792 miles in 11 hours.
At the same rate, how long would it take her to drive 504 miles?
Answer:
7 hours
Step-by-step explanation:
Her rate (speed) is
v = d/t = (792 miles) / (11 hrs) = 72 mph
To drive a distance D = 504 miles, it will take her a time T given by
T = D/v = (504 miles) / (72 mph) = 7 hours
f(x)=3x-2 for D={2,3,4}
–9 + 6p = 5p answer for p
Step-by-step explanation:
[tex] - 9 + 6p = 5p[/tex]
[tex]6p - 5p = 9[/tex]
[tex]p = 9[/tex]
is the answer.
The things to Note:-
The negative changed to +ve when goes beyond the equals to sign.And, the vice versa.☃️ Hope it HELPS ☃️
Can someone explain/answer this? I think I know the answer but I want to be entirely sure
Answer:
8
Step-by-step explanation:
2×2⁻³×2⁵ =2¹×2⁻³×2⁵ =2¹⁻³⁺⁵ =2³=8100 points
FOR EACH SCENARIO, CHECK THE BOX FOR THE APPROPRIATE UNIT
RATE FOR PRICE PER 1 POUND *
$4
$10
$6
$5
$2
$50 FOR
5LBS
o
O
O
$48 FOR
8LBS
О.
O о o
$44 FOR
11LBS
O.
O
$26 FOR
13LBS
O
O
$100 FOR
20LBS
O
O
O
O
Answer:
there is a button on the side of your keyboard that turns off all caps
ACTUAL ANSWER: 1 dollar a pound
Step-by-step explanation:
3m+2n=7 solve for M
It’s late night my brain is stemming. Help
Answer:
M= 7/3 hope that helps ya out
Solve the equations
Y=2x-4, 3x+y=1
Step-by-step explanation:
[tex]y = 2x - 4[/tex]
[tex]3x + y = 1[/tex]
[tex]y = 1 - 3x[/tex]
Equating,
[tex]2x - 4 = 1 - 3x[/tex]
[tex]2x + 3x = 1 + 4[/tex]
[tex]5x = 5[/tex]
[tex]x = 1[/tex]
Placing it,
[tex]y = 1 - 3( 1)[/tex]
[tex]y = 1 - 3[/tex]
[tex]y = - 2[/tex]
What is the midpoint for the points (2, 4) and (8, 10)?
Answer:
(5,7)
Step-by-step explanation:
Find the measures of two complementary angles, ÐA and ÐB, if mÐA = (7x + 4)° and mÐB = (4x + 9)°. Measure of angle A = ... Measure of angle B =
Answer:
The measure of angle A is 53 degrees
The measure of angle B is 37 degrees
Step-by-step explanation:
Here in this question, we are interested in calculating the measure of the two angle.
When how angles are complementary, it means the sum of both equals 90 degrees
mathematically ;
(7x + 4) + (4x + 9) = 90
7x + 4x + 4 + 9 = 90
11x + 13 = 90
11x = 90-13
11x = 77
x = 77/11 = 7
The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees
The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees
y = x - 2 and y=-2x +7
Answer:
x = 3 , y = 1
Step-by-step explanation:
Solve the following system:
{y = x - 2 | (equation 1)
y = 7 - 2 x | (equation 2)
Express the system in standard form:
{-x + y = -2 | (equation 1)
2 x + y = 7 | (equation 2)
Swap equation 1 with equation 2:
{2 x + y = 7 | (equation 1)
-x + y = -2 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{2 x + y = 7 | (equation 1)
0 x+(3 y)/2 = 3/2 | (equation 2)
Multiply equation 2 by 2/3:
{2 x + y = 7 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 6 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 3 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 3 , y = 1
[tex]\huge\boxed{\boxed{\bold{(3, 1)}}}[/tex]
[tex]\hrulefill[/tex]
I'm assuming you need to find the solution to this system of equations (where the lines intersect).
We can use the substitution method to solve this system. Take the value of [tex]y[/tex] from the second equation and substitute it into the first:
[tex]-2x+7=x-2[/tex]
Add [tex]2x[/tex] to both sides of the new equation:
[tex]7=3x-2[/tex]
Now add [tex]2[/tex] to both sides of the equation:
[tex]9=3x[/tex]
Divide both sides by [tex]3[/tex]:
[tex]\boxed{3}=x[/tex]
Now let's solve for [tex]y[/tex] by substituting the known value of [tex]x[/tex] into the first equation:
[tex]y=3-2[/tex]
Simplify using subtraction:
[tex]y=\boxed{1}[/tex]
This means our solution is:
[tex]\large\boxed{(3, 1)}[/tex]
1) Which expression represents the area of the
frame in square inches?
12^2 - s^2 is area of the large square minus area of the smaller square. It's the only correct option.
An expression is defined as a set of numbers, variables, and mathematical operations. The expression represents the area of the frame in square inches is 12² - s².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The area of the two squares can be written as,
Area of the larger square = 12²
Area of the smaller square = s²
Now, The area of the frame
= Area of the larger square - Area of the smaller square
= 12² - s²
Hence, the expression represents the area of the frame in square inches is 12² - s².
Learn more about Expression:
https://brainly.com/question/13947055
#SPJ2
If Jonathas has saved a total of $700 for the cell
phone, how many months can he pay for?
Choose the equation that represents this situation.
59 + 39m = 700
59 + 39m + 700 = C
39m = 700
Answer: The answer is A
Answer:
its A!!!! i just did it!
Step-by-step explanation:
Alg 1 Wee
Consider the expression 5 (y-7). Which of the following correctly expresses this expression?
Answer:
5y-35
Step-by-step explanation:
since we don't know what y is you have to multiply y and 7 by 5 and you'd get 5y and 35 and then just add the subtraction and bam there's your answer
Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle people are P prime Q prime R prime S prime . What are the coordinates of point R prime
Answer:
R'(4, -1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and reflection.
If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is A'(-y, x)
From the image attached, below are the location of the points:
P(-3, -1), Q(-1, -1), R(-1, -4) and S(-3, -4)
If point R(-4, -1) is rotated 90° counterclockwise about the origin, its new location would be at R'(4, -1)