Answer:
Step-by-step explanation:
[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]
[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]
Please answer this question
Answer:
Median : 11.5, or 12 if you round it up.
Mean : 10.9 rounded up 10.875 not rounded.
Hope this help's, enjoy!
Drag all of the steps necessary into the box to find the product of 2.7 x 6.4 using partial products.
2.0 X 6.0 = 12
2.0 x 4.0 = 8
2.0 x 0.4 = 0.8
0.7 x 0.6 = 0.42
0.7 x 6.0 = 4.2
0.7 X 4.0 = 2.8
0.7 X 0.4 = 0.28
Answer:
2.0 x 6.0 = 12
2.0 x 0.4 = 0. 8
0.7 x 6.0 = 4.2
0.7 x 0.4= 0.28
Step-by-step explanation:
The product of 2.7 x 6.4 = 17.28
If you add all those up in the answer I provided, they too equal 17.28.
Answer:
the correct answer is... 2
.
0
×
0
.
4
=
0
.
8
0
.
7
×
6
.
0
=
4
.
2
0
.
7
×
0
.
4
=
0
.
28
2
.
0
×
6
.
0
=
12
Step-by-step explanation:
PLEASE HELP IM BEGGGINGGG
Answer:
the answer is (a) a//b
Step-by-step explanation:
perpendicular means that two lines that do not cross over each other.
Which of the following represents the area of a rectangle whose length is x − 6 and whose width is x − 8? (1 point)
x2− 14x − 48
x2+ 48
x2− 48
x2− 14x + 48
Answer:
x²-14x+48
Step-by-step explanation:
Area= Length × Width
Area= x-6 × x-8
Area= (x-6)(x-8)
Area= x²-8x-6x+48
Area= x²-14x+48
Hope this helped you- have a good day bro cya)
answer po plss plssplsss
Answer:
I'll answer 6 to 10 cuz that's only what I'm able to see
Step-by-step explanation:
6.
Y-Z
= {6,4,7,2,8,3} - {2,7,8,9,10}
= {6,4,3}
7.
( Y ∪ Z ) ∩ X
= ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} ) ∩ {1, 2,3,5,8}
= { 2,3,4,6,7,8,9,10} ∩ {1, 2,3,5,8}
= {2,3,5,8}
8.
( X ∪ Y ) ∩ ( Y ∪ Z )
= ( {1, 2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ ( {6,4,7,2,8,3} ∪ {2,7,8,9,10} )
= {1,2,3,4,5,6,7,8} ∩ {2,3,4,6,7,8,9,10}
= {2,3,4,6,7,8}
9.
( X ∩ Z ) ∪ ( X ∩ Y )
= ( {1,2,3,5,8} ∩ {2,7,8,9,10} ) ∪ ( {1,2,3,5,8} ∩ {6,4,7,2,8,3} )
= {2,8} ∪ {3,8}
= {2,3,8}
10.
( X ∪ Y ) ∩ Z
= ( {1,2,3,5,8} ∪ {6,4,7,2,8,3} ) ∩ {2,7,8,9,10}
= {1,2,3,4,5,6,7,8} ∩ {2,7,8,9,10}
= {2,7,8}
classify each pair of angles as alternate interior alternate exterior or corresponding
Answer:
1. corresponding
2. alternate interior
3. supplementary
4. interior
Step-by-step explanation:
1. <5 and <1 are corresponding angles because they are above each parallel line and are on the same side of the transversal.
2. <4 and <6 are alternate interior angles because they are in between the parallel lines, and are on opposite sides of the transversal.
3. <2 and <7 are supplementary angles because <2 is above the top parallel line and <7 is beneath the bottom parallel line, and they are on the same side of the transversal.
4. <3 and <6 are (consecutive) interior angles because they are in between the parallel lines, and are on the same side of the transversal.
Hope this helps you out!! Have an awesome day ;)
HELP 20 POINTS Lines j and k are shown in the diagram below. Some of the angles created when the lines are cut by a transversal are labeled in the diagram.
Answer: A
Step-by-step explanation:
What is the rotation of point A (-2, 3). 90 degrees?
A. (2,3)
B. (-2,-3)
C. (3,-2)
D. (3,-2)
Step-by-step explanation:
Let's pretend our point is actually a complex number. That would make the point -2–3i. Why would we do this? Well, rotation of complex numbers is simply a matter of multiplication, in this case by 1∠−90° , or -i.
So to start, you shift the point of rotation to 0+0i, rotate it by multiplying, then shift it back to the axis of rotation.
z=−i[(−2−x0)+(−3−y0)i]+(x0+iy0)
=−3−y0+x0+(2+x0+y0)i
x=Rz
y=Iz
Thus the new point is at (−3+x0−y0,2+x0+y0)
hence (-3,2)
ABC is an equilateral triangle drawn on side BC of square BCDE prove that AE=AD
Answer:
in the picture
Step-by-step explanation:
in the picture
Flying at an average speed of 525 miles per hour, how far can a
passenger fly in 2 hours, in 3 hours, and in 4 hours?
Answer:
In 2 hours: 1050 miles
In 3 hours: 1575 miles
In 4 hours: 2100 miles
Step-by-step explanation:
Multiply 525 by the number of hours to get each answer.
Nancy bought a soft drink for 2 dollars and 9 candy bars. She spent a total of 38 dollars. How much did each
candy bar cost?
Answer:
$4
Step-by-step explanation:
Because we know that Nancy bought a drink for 2 dollars, and we are just trying to find the cost of the candy bars, we can subtract 2 dollars from the drink from the total cost:
38 - 2 = 36
Now, the 9 candy bars cost 36 dollars, so to find the individual price of each candy bar, we divide 36 by 9:
36 / 9 = 4
So, each candy bar costs 4 dollars
Hope this helps :)
Answer:
4 dollars
Step-by-step explanation:
38 - 2
= 36
36÷9 ( candy bars)
= 4 dollars
1. Sara has 8 cents. Zach has double
plus 2 of what Sara has.
How much money does Zach have?
Solve for x.
A. x = 7.5
B.x = 15
C.x = 10
D.x=5
Answer:
B. x=15 ayan na ang sagot
I need help Please!!!!!!!!!!!!!!!!!!!!!!! I will give brain to who ever gets it right
Answer: i think its all of them are 5
Step-by-step explanation: sorry if im wrong
Equation: M+6/-3=4
What did you do?
Simplify/complete sentence
Find -3A+6B ...........
What is the 40th term of the arithmetic sequence?
21, 18, 15, 12, 9,...
−96
6
138
−99
Answer:
We start off with 21 as the first term. So a1 = 21
The common difference is d = -3 because we subtract 3 each time to get from one term to the other (eg: 21 to 18 is minus 3)
The nth term of an arithmetic sequence is found by using this formula
an = a1 + d(n-1)
let's plug in the values we have so far to get
an = 21 + (-3)(n-1)
an = 21 - 3(n-1)
an = 21-3n+3
an = -3n+24
Why do this? Well it's helpful so we can find any term in the formula we want. In this case, we want the 40th term. So just plug in n = 40 from here and you're done
an = -3n+24
a40 = -3*40+24
a40 = -96
pointing you to the answer of choice B) -96
Musi measured the length and width of a soccer field and then made a drawing of the soccer field . He decided to use 1 mm on his ruler to represent 3 m on the soccer field. If his measurement of the width of the soccer field was 63m , what is the width of his drwaing?
If his measurement of the width of the soccer field was 63m , the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
Musi's ruler represents 1 mm as 3 m on the soccer field. To find the width of his drawing for a 63 m wide soccer field, we can set up a proportion to relate the real width to the width on his drawing.
Let "x" represent the width of his drawing in millimeters.
The proportion can be set up as follows:
1 mm (on the drawing) / x mm (real width on the field) = 3 m (on the drawing) / 63 m (real width on the field)
Now, cross-multiply and solve for "x":
1 * 63 m = 3 * x mm
63 = 3x
Divide both sides by 3 to find the width of his drawing:
x = 63 / 3
x = 21
So, the width of Musi's drawing for a 63 m wide soccer field is 21 mm.
In summary, Musi used a scale of 1 mm to represent 3 m on the soccer field. Therefore, the width of his drawing for a 63 m wide soccer field is 21 mm.
To learn more about scale click on,
https://brainly.com/question/28720090
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May I please receive help?
Please?
Slope Formula: (y2 - y1) / (x2 - x1)
Line 1: 3
Point 1 = (-5, -8)
Point 2 = (-1, 4)
Slope = (4 - - 8) / (-1 - - 5) = (4 + 8) / (-1 + 5) = 12 / 4 = 3
Line 2: 3
Point 1 = (0, 1)
Point 2 = (2, 7)
Slope = (7 - 1) / (2 - 0) = 6 / 2 = 3
Line 3: -1/3
Point 1 = (6, -7)
Point 2 = (-6, -3)
Slope = (-3 - - 7) / (-6 - 6) = (-3 + 7) / (-12) = 4 / -12 = -1/3
Parallel lines have the same slope, while perpendicular lines have an opposite reciprocal slope.
Line 1 and Line 2 are parallel because they have the same slope.
Line 1 and Line 3 are perpendicular because they have opposite reciprocal slopes.
Line 2 and Line 3 are perpendicular because they have opposite reciprocal slope.
Hope this helps!! :)
Answer:
3
3
-1/3
Parallel
Perpendicular
Perpendicular
Step-by-step explanation:
You need to learn this for some tests where you don't get access to the internet in most cases like the ACT, SAT, normal tests, ect.
The formula for slope is y2-y1 divided by x2-x1
y2 is a point from the second pair of points, for example (-1, 4) or (2, 7).
y1 is a point from the first pair like (-5, -8), or (0, 1).
You can plug in the values for example:
4 - (-8) / -1 - (-5)
Two negatives equals a positive in math, so
12 / 4
= 3.
The slope for line 1 is 3.
You extend this to the other two lines.
For lines to be parallel, they must have the same slope.
1 and 2 should both have a slope of 3 based on the previous algebra, so they are parallel.
Line 3 has a slope of -1/3 which makes it perpendicular to 1 and 2, because perpendicular lines have the negative reciprocals of each other.
For example, if a line has a slope of 2, the perpendicular line has a slope of -1/2 because a reciprocal is the number flipped upside down with a fraction (aka, multiplying something with 1/x where x is the original number.)
A reciprocal slope of 19348 is -1/19348.
90 entre (7 + 3) x 2
What is the first step to simplify the expression 5x – x(2 – 3x) + 2?
combine all like terms
simplify inside the parentheses
square the binomial
distribute –x to the terms inside the parentheses
Answer:
distribute -x to terms inside the parentheses
37. Construct Arguments Luis and Raul are
riding their bicycles to the beach from their
respective homes. Luis proposes that they leave
their respective homes at the same time and
plan to arrive at the beach at the same time.
The diagram shows Luis's position at two points
during his ride to the beach.
Write an equation in slope-intercept form
to represent Luis's ride from his house to the
beach. If Raul lives 5 miles closer to the beach
than Luis, at what speed must Raul ride for the
plan to work?
Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;
y = - 7.5x + 15 4 miles per hourTime difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours
Change in distance, Δd = 11.25 - 6 = 5.25 miles
Assuming a constant speed :
Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hrUsing the general form :
y = bx + cAt, x = 1.2 hours ;
Miles left, y = 6 miles
End point decreases by 7.5 mi/hr (-7.5 mi/hr)
Inputting the data into the equation :
6 = - 7.5(1.2) + c
6 = - 9 + c
c = 6 + 9 = 15 miles
The expression in slope intercept form becomes ;
y = -7.5x + 15If Raul lives 5 miles closer to the beach ;
Time it will take Luis to get to the beach :
Time taken = (15 ÷ 7.5) = 2.5 hoursDistance Raul has to cover = 15 - 5 = 10 miles
To reach the beach after 2.5 hours ;
Speed required = (10 ÷ 2.5) = 4 mi/hrTherefore, Raul has to ride at 4 miles per hour for the plan to work.
Learn more :https://brainly.com/question/18405415
please help me with this
Answer:
Okay the answer is
Answer:
3+(4+5) - (3+4)+5
7 . (2 . 5) - (7 . 2) . 5
5 . 9 - 9 . 5
3+4 - 4+3
The Dot's mean multiplication
Step-by-step explanation:
any tips on eaiser ways to factor completely. algebra 2!! please
watch a lots of videos and look at reliable resources brainley is not reliable by the way
Algebra 2 - Factoring Polynomials - You Tube
Step-by-step explanation:
any of these top videos are helpful anything specific you need help with
Which sentence best describe multiples of 5
twenty four less than two times a number x.. pls help.
Answer:
24-2x
Step-by-step explanation:
Answer:
The equation is written as follows:
2x-24
What equation in Slope-Intercept Form represents the line that passes through the points ( -3,3) and ( 1,2)?
49000000 -8373448588766
answer:
-8.3733995^12
Identify the domain and range of the relation is the relation a function?
Answer:
Domain: {2,8,30,46}
Range: {-1,9,16}
Step-by-step explanation:
Yes, it is function because each of the elements of x are related or mapped with only one and unique elements of y. That's why the relation is a function.
Mark has £5. A litre of milk costs 80p. He buys as many as he can. How much money will he have left
Answer:
He can buy 6 liters because £0.80 x 6 = £4.80. So he will have £5.00 - £4.80 = £0.20 left over. 20p.
Step-by-step explanation:
welcome