Answer:
He made a mistake in his calculations when simplifying 5x - 2y
Step-by-step explanation:
Given
The coordinate pair
[tex](x,y) = (2,-2)[/tex]
The equations
[tex]7x + 9y = ?[/tex]
[tex]5x - 2y = ?[/tex]
Dimitri's Solution
[tex]Equation\ 1: 7x + 9y = -4.[/tex]
[tex]7(2) + 9 (-2) = -4.[/tex]
[tex]14 + (-18) = -4.[/tex]
[tex]-4 = -4.[/tex]
[tex]Equation\ 2: 5x -2y = 6.[/tex]
[tex]5(2) - 2 (-2) = 6.[/tex]
[tex]10 - 4 = 6.[/tex]
[tex]6 = 6.[/tex]
Required
Identify Dimitri’s mistake
In the first equation, Dimitri made no mistake.
However, he made a mistake when simplifying the second equation.
We have:
[tex]5x - 2y[/tex]
and
[tex](x,y) = (2,-2)[/tex]
Substitute [tex]x = 2[/tex] and [tex]y = -2[/tex]
So, we have:
[tex]5(2) -2(-2)[/tex]
Open bracket
[tex]10 +4[/tex]
Finally, we have:
[tex]14[/tex]
What is the slope of the line passing through the points (-5, -4) and (-1, 6)?
A.2/5
B.-5/2
C.-2/5
D.5/2
Answer:
5/2
Step-by-step explanation:
Which point does not pass through?
10 Points
Answer:
C ( 9 , 15)
Step-by-step explanation:
Use the formula to find
Answer:
5525
Step-by-step explanation:
Using the formula with n = 25 , then
[tex]\frac{25(26)(50+1)}{6}[/tex]
= [tex]\frac{25(26)(51)}{6}[/tex]
= [tex]\frac{33150}{6}[/tex]
= 5525
Need more help guys :(
Step-by-step explanation:
Write a rule to describe the transition of a point from (-3,3) to (-2,2)
In the answers, we see that the rule must be formatted as:
(x,y) ⇾ (x _ 1, y _ 1)
Soo . . we take the first x (-3) and the second x (-2) and try the 2 methods:
-3 - 1 = -4
-3 +1 = -2
So we see that the first one has to + 1
Here's the rule so far.
(x,y) ⇾ (x + 1, y _ 1)
Next, take the first y (3) and the second y (2) and repeat the 2 methods:
3 + 1 = 4
3 - 1 = 2
Here we get that we have to - 1
Therefore, the rule to describe the transition of a point from (-3,3) to (-2,2) is:
(x,y) ⇾ (x + 1, y - 1)
Which is option 4 or D.
Hope this helps you understand a bit better! =)
Find the area of the circle.
50.24 in?
803.84 in?
d= 8 in.
25.12 in?
12.56 in?
200.96 in?
Answer:
The answer is 50.24
Step-by-step explanation:
Equation is: 3.14 times 4²
Radius is 1/2 the diameter
Prove or disprove that the point (51−−√, 7) lies on the circle centered at the origin and containing the point (6, 8).
Answer:
Yes, it lies on the circle.
Step-by-step explanation:
The actual question is:
"Prove or disprove that the point (√51, 7) lies on the circle centered at the origin and containing the point (6, 8)."
The equation of a circle of radius R and centered at the point (a, b) is:
(x - a)^2 + (y - b)^2 = R^2
In this case we have a circle centered at the origin, then: (a, b) = (0, 0)
And the equation becomes:
(x - 0)^2 + (y - 0)^2 = R^2
x^2 + y^2 = R^2
We also know that this circle contains the point (6, 8), then we can find the radius of our circle if we replace x by 6 and y by 8.
6^2 + 8^2 = R^2
100 = R^2
√100 = 10 = R
Then the circle equation is:
x^2 + y^2 = 10^2
Now let's see if the point (√51, 7) is a solution of the above equation:
(√51)^2 + ( 7)^2 = 10^2 = 100
51 + 49 = 100
100 = 100
This is true, so we can conclude that (√51, 7) is a solution of the circle equation, so the point lies on the defined circle.
0. A hardware store sold h hammers in February. The hardware store sold 5 less than 2 times as
many hammers in June as it did in February. Write an expression the hardware store could use
to represent the number of hammers it sold in June.
Answer:
2h - 5Step-by-step explanation:
Sold in February = hSold in June = 2h - 5Answer:
solution given:
let hammers be H
now
an expression the hardware store could use to represent the number of hammers it sold in June is 2H-5
show your work
B= 47, a = 20, c = 24
Answer:
Im lost what is this
Step-by-step explanation:
Answer:
43
Step-by-step explanation:
a+b-c
20+47-24
67-24
43
if the polygon is a decagon, then it has ____sides?
Answer:
10 sides
Step-by-step explanation:
Deca means 10 (decameter/decahedron/decagon)
Answer: 10 sides
Step-by-step explanation:
There are a list of suffixes for a "-gon"
- Pentagon=5 sides
- Hexagon=6 sides
- Heptagon=7 sides
- Octagon=8 sides
- Nonagon=9 sides
- Decagon=10 sides
- Hendecagon=11 sides
- Dodecagon=12 sides
Therefore, if the polygon is a decagon, then it has 10 sides
Hope this helps!! :)
Please let me know if you have any questions
Quelqu'un pourrais m’aider à faire cette exercice svp
Réponses:
1. pour calculer la distance OF on va utiliser tout simplement le théorème de pythagore
OF = √(68²+51²)
OF = √(4624+2601)
OF = √(7225)
OF = 85 mm
2. étant donné que la cible n'est pas atteinte si la pointe de la flèche est sur le bord, et on sait que le rayon de la cible est 100
donc la distance OF ne doit pas dépasser le nombre 100
OF < 100
3. la suite de la question trois n'est pas affichée malheureusement!
bonne journée ^^
What is 1.4. 106 written in standard notation?
O A. 140,000
B. 14,000,000
O C. 104,000
D. 1,400,000
E. 10,400,000
F. 1,040,000
500(x – 3) = 5,000
What’s the value of x?
Answer:
13
Step-by-step explanation:
500(x-3)=5000
500x-1500=5000
500x=5000+1500
500x=6500 /:500
x=13
Answer:
13
Step-by-step explanation:
cuz
13-3=10
10x500=5000
Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a mean score of 72.6 points out of 100 and a standard deviation of 8.7. Shannon received a score of 81 points. Shannon thinks she performed better than 68% of the students in the contest
Answer:
.
Step-by-step explanation:
Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 11 in. The soup can has a diameter of 3 in. and a height of 6 in. How many cans of soup will it take to fill the pot? Round to the nearest can.
Answer:
45 cans
Step-by-step explanation:
To find the volume of a cylinder, we need to find the area of the cross section, which in this case is π(radius)², and multiply it with the height of the cylinder
This means the pot has a volume of:
- pot has radius of 7.5in. as diameter is 2 x radius
π x (15/2)² x 11 = 618.75π in.³
The soup can has a volume of:
- soup can has radius of 1.5in. as diameter is 2 x radius
π x (3/2))² x 6 = 13.5π in.³
Divide the volume of the pot by the volume of the can to get how many cans of soup will it take to fill the pot:
618.75π in.³ ÷ 13.5π in.³ = 45.833... cans
The question states you need to round to nearest can which would be 45 cans, but personally, I thought you would always round up as 45 cans won't fill up the whole pot, but it's up to the question.
find sin x/2 given that sin x=1/4 and 0
Answer:
Step-by-step explanation:
find sin x/2 in radians, given that sinx =1/4 and x terminates in 0 less than x less than pi/2
✓ sinx=1/4=opp side/hypotenuse adj side=√(4^2-1^2)=√(16-1)=√15 cosx=√15/4 sin x/2=√[(1-cosx)/2]=√[(1-√15/4)/2] .. calculator check: sinx=(1/4
The value of sin x/2 for sin x=1/4 and 0 is 0.124 and 0 respectively.
Given that, sin x=1/4 and 0.
We need to find sin x/2.
How to find the value of sin?The sin formula is given as sin θ = Perpendicular / Hypotenuse.
Now, for sin x=1/4
sin 1/4/2=sin 1/8=0.124
=0.124
For sinx=0
sin 0/2=0
Hence, the value of sin x/2 for sin x=1/4 and 0 is 0.124 and 0 respectively.
To learn more about sine visit:
https://brainly.com/question/16853308.
#SPJ2
Rotate 90° clockwise about the origin
E = (-3, 3)
F = (-2, -1)
D = (-2, 3)
C = (-1, 4)
Answer:
e
Step-by-step explanation:
Including the floor, how many faces are there?
find the area of each figure. Round your answers to the nearest hundredth 7-10
Answer:
7.
area of parallelogram=base×height=19×7.8=148.2yd²
8.
area of semi circle=1/2[π(d/2)²]=
π×44²/8=760.265in²
9.
area of rectangle =length ×breadth
=16.4×11.8=193.52ft²
10.
area of triangle =1/2 ×base×height=1/2×20.4×14.6=148.92in²
Area of the given shapes are:
parallelogram: 148.2yd²Rectangle: 193.52 ft²Semicircle: 760.265 in²triangle: 148.92 in²What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given, Four shapes and we need to calculate the area.
For parallelogram:
area of parallelogram = base×height
area of parallelogram = 19×7.8 = 148.2yd²
For, Semicircle:
area of semi circle= 1/2 [π(d/2)²]
area of semi circle= π×44²/8 = 760.265 in²
For Rectangle:
area of rectangle = length ×breadth
area of rectangle = 16.4×11.8 = 193.52 ft²
For triangle:
area of triangle = 1/2 ×base×height
area of triangle = 1/2×20.4×14.6 = 148.92in²
Learn more about Area here:
https://brainly.com/question/27683633
#SPJ2
Least to greatest 3 1/7 ,1.73,4 ,2.24
Answer:
1.73, 2.24, 3 1/7,4
Step-by-step explanation:
You do the whole numbers first, and then the decimal or fraction.
Find the Interquartile Range (IQR) of the data set.
5, 2, 3, 4, 7, 9, 8, 10, 12, 8, 7
Answer:
5
Step-by-step explanation:
What is the lateral surface area?
7 A cylindrical pipe measures 18 inches and has a diameter of 1 inch. How many square inches of metal
are used to make the pipe, which is open on both ends? Round your answer to the nearest hundredth.
Answer:
56.556 square inches
Step-by-step explanation:
Surface area of an open cylindrical pipe is = πdh
3.142 × 1 × 18 = 56.556
find the circumference of the pizza use 3.14 the pizza is 7 inches
Answer:
45 inches
Step-by-step explanation:
C = (pi)(diameter).
Assuming that the radius of the pizza in this case is 7 inches, the diameter is twice that, or 14 inches.
Thus, the circumference of the pizza is C = (3.14)(14 inches) = 45 inches
approximately.
A square photograph has a side length of x + 8. It is
surrounded by a frame that is 2 inches wide all the way
around. Write a simplified expression for the area of
just the picture frame.
Answer:
(x + 10)^2
Step-by-step explanation:
*It helps to draw a diagram for these types of questions
Side length of photograph: x + 8
Width of frame: 2 in.
Area of a square: s^2
A = ((x + 8) + 2)^2
= (x + 10)^2
Therefore the area of the photograph with the frame is (x + 10)^2
Answer:
8(x + 10) or 8x + 80Step-by-step explanation:
Area of the picture:
(x + 8)²Side of the photograph with the frame:
(x + 8) + 2*2 = x + 12Area of the frame:
(x + 12)² - (x + 8)² = (x + 12 + x + 8)(x + 12 - x - 8) = (2x + 20)(4) = 8(x + 10)or
8x + 80funniest thing you'll see all day
Answer:
My dog getting smacked allot by my cat ( my cat was bullying my dog all day XD) 1 thanks = one less smack for the dog lol
Step-by-step explanation:
Me kat (cat) was mewing all day. Me go to market to buy his favourite food (fish).Me comes home. Me takes time to prepare fish. Me gives kat fish. He throw away fish and insult me with some more mews
Missy Diwater, the former platform diver for the Ringling Brothers’ Circus has a mass of 68kg jumps from a height of 8m. What is her potential energy
what is perimeter? what is area?
Solve the system of equations. y = 3x + 2 y = -4 y = -4
Answer:
y = x^2 i think
Step-by-step explanation:
graph{y=3x-2 [-10, 10, -5, 5]}
Explanation:
This equation is in the form
y
=
m
x
+
b
so the line is linear.
To graph this equation, all you have to do is figure out two things, the slope and the y-intercept.
The 3x is the slope and -2 is the y-intercept
Consider the following system of equations.
3x + 5y = 18
6x − 5y = 20
Decide which procedures eliminate the x variable and which eliminate the y variable. Drag and drop each procedure that will eliminate one of the variables into the appropriate category.
Subtract the second equation from the first equation.
Add the first and second equations. Multiply the first equation by −2; then add the two equations.
Divide the second equation by −2; then add the two equations. Subtract the first equation from the second equation.
Multiply the first equation by 2 then add the two equations.
Eliminate x Eliminate y
Answer:
Option B
On adding the first and second equations y can be eliminated
Step-by-step explanation:
The two equations are as follows
3x + 5y = 18 -- Eq (1)
6x − 5y = 20 -- Eq (2)
Adding equation 1 and 2, we get -
3x + 6x + 5y -5y = 18
9x = 18
x = 2
y = (18-3*2)/5
y = 12/5 = 2.4
The following are the last 10 run scores Colin got in cricket:
18, 9, 7, 35, 30, 21, 33, 12, 30, 31
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 27 runs.
What is his new mean score?
Give your answers as decimals.
Answer:
a) 22.6
b) 23
Step-by-step explanation:
a)
Step 1: 18 + 9 + 7 + 35 + 30 + 21 + 33 + 12 + 30 + 31 = 226
Step 2: 226/10 = 22.6
b)
Step 1: 226+27 = 253
Step 2: 253/11 = 23
Find the product of 0.25 x 16
Answer:
4 is the answer
0.25*16 = 4
Step-by-step explanation:
product means multiplication..
what grade level is this?
Have a nice day!