verify X + y equal to y + X when:x=-8/9and y=-3/5
Given:
[tex]x=-\dfrac{8}{9},\ y=-\dfrac{3}{5}[/tex]
To verify:
[tex]x+y=y+x[/tex]
Solution:
We need to verify,
[tex]x+y=y+x[/tex]
Taking left hand side, we get
[tex]LHS=x+y[/tex]
After substituting the values, we get
[tex]LHS=-\dfrac{8}{9}+\left(-\dfrac{3}{5}\right)[/tex]
[tex]LHS=-\dfrac{8}{9}-\dfrac{3}{5}[/tex]
[tex]LHS=\dfrac{-40-27}{45}[/tex]
[tex]LHS=\dfrac{-67}{45}[/tex]
Now,
Taking right hand side, we get
[tex]RHS=y+x[/tex]
After substituting the values, we get
[tex]RHS=-\dfrac{3}{5}+\left(-\dfrac{8}{9}\right)[/tex]
[tex]RHS=-\dfrac{3}{5}-\dfrac{8}{9}[/tex]
[tex]RHS=\dfrac{-27-40}{45}[/tex]
[tex]RHS=\dfrac{-67}{45}[/tex]
Clearly,
[tex]LHS=RHS[/tex]
Hence verified.
What is the value of the expression x^3y^2/6 + x^2y^2 x = -2 and y = 3?
A -45
B -30
С 24
D 27
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{(-2^3)(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{(-2)^3=\bf -8}[/tex]
[tex]\mathsf{= \dfrac{-8(3^2)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= \dfrac{(-8)(9)}{6}+(-2^2)(3^2)}[/tex]
[tex]\mathsf{-8(9)= \bf -72}[/tex]
[tex]\mathsf{= \dfrac{-72}{6}+(-2^2)+(3^2)}[/tex]
[tex]\mathsf{\dfrac{-72}{6}=\bf -12}[/tex]
[tex]\mathsf{= -12+(-2)^2(3^2)}[/tex]
[tex]\mathsf{-2^2=\bf 4}[/tex]
[tex]\mathsf{= -12+4(3^2)}[/tex]
[tex]\mathsf{3^2=\bf 9}[/tex]
[tex]\mathsf{= -12+4(9)}[/tex]
[tex]\mathsf{4(9)= \bf 36}[/tex]
[tex]\mathsf{-12 + 36 = \bf 24}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \huge\bf Option C. 24}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
45% of Ms. Stacey's students will go on a field trip to the museum. If 90 of Ms. Stacey's students went to the museum field trip how many students does she have overall? A. 40.5 B. 50 C. 200
Answer:
c
Step-by-step explanation:
Number of students = number of students that went to the museum / percentage of students that went to the museum
90 / 0.45 = 200 students
HELP PLEASE, NO FILES OR LINKS PLEASE
Catherine invests $650 in a savings account that earns 2.5% simple interest annually. If she does not make any additional deposits or withdrawls, how much money will be in the savings accoung after 3 years?
Answer:
$699.98
Step-by-step explanation:
Find the area of each figure. use 3.14 for π (20 POINTS)
Answer:
51.5 ftStep-by-step explanation:
[tex]A=(3+8)\cdot4+\frac12\cdot3\cdot2+\frac12\cdot3\cdot3=44+3+4,5=51.5\,ft[/tex]
Pls help I need this now
The ratio of the areas of two similar parallelogram is 4:9. Find the height of the bigger one if the smaller is if height 4cm
Answer:
look it up because found the correct answer there
Step-by-step explanation:
A triangle has side lengths of 39, 80, and
87. Is this triangle a right triangle?
Answer:
Step-by-step explanation:
39²=1521
80²=6400
39²+80²=1521+6400=7921
87²=7569
7921≠7569
so it is not aright angled triangle.
Answer:
si
Step-by-ste
urgent, help pls. :)
Answer:
rational
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
carlos walked to school on 14 of the 20 school days in february.Witch value is equivalent to the fraction of the school days in february that carlos walked to school?
Answer:
14/20 or simplified 7/10 it can also be shown as 70% or 0.7 or 0.70
Step-by-step explanation:
POINTSS GIVEAWAY!!!!!!!!!!! WHOEVER GETS THEM, YAYYY AND FOR THOSE WHO DONT I HOPE BOTH SIDES OF YOUR PILLOW ARE COOL TONIGHT, REMEMBER TO STAY HYDRATED, TAKE YOUR MEDS AND EAT SOMETHING, STAY SAFE MY LUVS❤
Answer:
lets go
Step-by-step explanation:
YAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAY
Emilio has to run 71
2
miles every week to train for the football team. If he runs 11
2
miles every day, how many days will
it take him to run 71
2
miles?
It will take Emilio
days to run 71
2
miles.
Answer:
7 days or, more specifically 7.455 days
Step-by-step explanation:
71 miles divided up into groups of 11
71 mi. ÷ 11 mi. at a time
71 ÷ 11 = 6.455
rounds up to 7 days
6 days will it take him to run 712 miles.
What is division?The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.
Given
Emilio has to run 712 miles every week to train for the football team.
If he runs 112 miles every day
Based on the given conditions
= [tex]\frac{712}{112}[/tex]
= 6.35
≅ 6 days
Thus, 6 days will it take him to run 712 miles.
Find out more information about division here
https://brainly.com/question/1575906
#SPJ3
Is 72 km/h faster than 20 m/s
Answer:
no.both are equal.
Step-by-step explanation:
72 km/h=72000/(60×60)=20m/s
Answer:
They are equal
Step-by-step explanation:
72 Kilometers per Hour equals the same as 20 Meters per Second.
I need the answer for 15 please.
Answer:
46
Step-by-step explanation:
I think the answer Is 46 I'm not 100% sure though but I do think it is 46
BKS at a piece of paper along as diagonal, as shown below, towing two tendes
How do the height and base length of the two triangles compare to the height and base length of the original piece of
paper?
The two dimensions are the same in the triangles as they were in the rectangle,
The two heights are the same in the triangles as they were in the rectangle, but the bases of the triangles are half
the length of the base of the rectangle.
The two dimensions of the triangles are each half what they were in the rectangle.
its the second option because it is clearly shown and described on the screen
Can someone help me out with this?
Find the equation to the line below .
Answer:
y = 4x + 1
Step-by-step explanation:
y = mx + b
The line goes thru (0, 1) and (1, 5)
The slope = m = (5 - 1)/ 1 - 0) = 4/1 = 4
The y-intercept is (0, 1), so b = 1
y = 4x + 1 is the equation of the line
NEED ANSWERS NOW!! (Reward) brainlest and pointsss
Answer:
B
Step-by-step explanation
f(x)=x2-4x-5
Becomes
f(x)=x2-5x+x-5
Take out the common factor
f(x)=(x-5)(x+1)
Equate the given function equal to 0
0=(x-5)(x+1)
And then
x-5=0 -- x=5
x+1 = 0 == x=-1
Answer:
B
Step-by-step explanation:
we are given a quadratic function
we want to figure out the form which we don't need change
so according to the question
[tex] \displaystyle{x}^{2} - 4x - 5 = 0[/tex]
rewrite -4x as x-5x:
[tex] \displaystyle{x}^{2} + x - 5x- 5 = 0[/tex]
factor out x:
[tex] \displaystyle \: x({x}^{} + 1)- 5x- 5 = 0[/tex]
factor out -5:
[tex] \displaystyle \: x({x}^{} + 1)- 5(x + 1 )= 0[/tex]
group:
[tex] \displaystyle \: (x + 1 )(x - 5)= 0[/tex]
hence our answer is B
The solid shown below is made by combining two rectangular prisms. What is the total volume of the solid?
Answer:
The question has a picture attached of both rectangular prisms which I have attached and solved.
Answer: 1320 cm³
Step-by-step explanation:
top prism = 5×12×10=600
lower prism = 15×12×(15-10) = 720
Adding both volumes
720 + 600 = 1320 cm³
What’s the area of the polygon?
Answer:
[tex]108 in^{2}[/tex]
Step-by-step explanation:
Separate it into 2 parts:
The first would be that the length and width of the smaller rectangle would be, 7 in. and 6 in.
7 x 6 = 42 in^2
The second would be that the length and width of the larger rectangle would be, 11 in. and 6 in.
11 x 6 = 66 in^2
Total:
66 + 42 = 108 in^2
Answer:
108 [tex]in ^2[/tex]
Step-by-step explanation:
This polygon consists of two rectangles, one in the top-right hand corner and another in the bottom. To divide these two rectangles, imagine a line extended from the central horizontal line in the polygon. As I work the problem, remember that the formula for the area of a rectangle is [tex]A=l * h[/tex], where A is the area of the rectangle, l the length of the rectangle (one of the sides), and h is the height of the rectangle (the length of a side perpendicular to l).
Starting with the top-right rectangle:
We already know one of the sides of the rectangle is 4 in, so let's imagine this to be h, because it is the height of the rectangle. Finding l is more complicated. We know the length of the larger rectangle is 12 in (more on that later) and the 6 in length is the part of the length that is not a part of the top-right rectangle. This, since the vertical line all the way to the right is straight, the length is the difference between these two lengths, or:
[tex]l=12-6=6[/tex] in
Now that we know l and h, we can evaluate the area of the first rectangle, which is
[tex]A= 6 *4= 24[/tex] in^2
Now for the bottom rectangle:
We know both l and h for this rectangle, which are 12 in and 7 in respectively. Using the area formula for a rectangle above:
[tex]A=12*7=84[/tex] in^2
Since the polygon contains both rectangles, its area is the sum of the areas of the two rectangles. Thus,
[tex]A=24+84=108[/tex] in^2
QED
4^m x 4^2 = 4^12 whats m?
Answer:
m=10
Step-by-step explanation:
PLEASE HELP FAST!!!!!!!!!
Answer:
132 degrees
Step-by-step explanation:
To solve this problem, you need to know a couple of rules
1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.
2)Angles of a quadrilateral shape add up to 360 degrees.
3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.
So first, solve angle S with inscribed angle theorem. 126/2 = 63
Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.
Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.
Let me know if this doesn't work, I'll look at it again.
I NEED HELP WITH THIS
Answer:
∠HGJ + ∠KJG = 180°
So, ∠KJG = 62°
Urgent!!!!
Can someone please give me the correct answer to this question
The answers are in the picture.
I will mark you brainliest for the correct answer.
Please help!!
Answer:
2x=80°
x=40°
40°+20°=60°
Step-by-step explanation:
all triangles are 180°
How can you determine the part of an hour that is 15 minutes?
Answer:
You'll need to convert the minutes part to hours. 15 minutes times 1 hour per 60 minutes will make the conversion to hours and minutes will cancel out. 0.25 hours times 60 minutes per 1 hour = 0.25 hr × (60 min/ 1hr) = (0.25 × 60) min = 15 minutes.
Step-by-step explanation:
I really need to know the answer of this question
Answer:
Amir 20 Rita 45
Step-by-step explanation:
20/4=5
5*9=45
so this satisfices the ration 4:9
Answer:
Amir : 20 sweets and Rita : 45 sweets
Step-by-step explanation:
Rita has 25 more in all answers. to get the answer, this is to see which one : 4:9 ; 20:45.
we multiply 4 and 45 and 9 and 20. if we multiply them, both answers are 180. this means it is equal and that is the answer.
An electrician needs to know that the relationship between amps, volts, and resistance is
expressed in the formula V = IR where V is volts, I is amps, and R is ohms. How large a
resistance is needed to produce 8 amps from 184 volts?
Answer:
R = 23 ohms
Step-by-step explanation:
Start with V = I*R. Solve for R: R = V/I
Here I = 8 amps and V = 184 volts, and so
R = (184 volts) / (8 amps) = 23 ohms
13 km
5 km
What is the length of the missing leg?
Can anybody help me with this problem?
Answer:
$830
Step-by-step explanation:
x/2=200+215
x/2=415 multiply by two on both sides to get x alone
x=830
I need help plzzzzzzzzzzzzjdbfhrrhebehdbzzzzzzzzzzzzzzzz
Answer:A
Step-by-step explanation: im not too sure but i think 1-2/5=3/5 which would be red so
Answer:
The answer to this is a because it has a sequence of three