Answer:
20yd²
Step-by-step explanation:
6 × 6 = 36
4 × 4 = 16
36
-16
20
if a number became 2.5 times smaller, what precent was it decreased by
Answer:
25 percent because when you change it in percent it came25 percent
Alexander and his friends are going into a restaurant. How much would it cost to buy 2 hotdogs and 40 chicken wings if each hotdog costs $4.00 and each chicken wing costs $0.50? How much would it cost to buy 22 hotdogs and 4040 chicken wings if each hotdog cost \$h$h and each chicken wing cost \$c?$c?
A is the point (5, 7) and B is the point (9, -1)" Find the equation of the line AB
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, A(5,7) and B(9,-1).
Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (5,7) and going to (9,-1):
Rise = (-1 -7) = -8
Run = (9-5) = 4
Rise/Run (slope) = -8/4 or -2
The equation becomes y = -2x + b
We can find b by entering either of the two given points and solving for b. I'll pick (5,7):
y = -2x + b
7 = (-2)*(5) + b
7 = -10 + b
b = 17
The equation is y = -2x + 17
Check this with a DESMOS graph (attached).
The equation of line AB is y= -2x +17
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given:
Points A(5, 7) and B(9, -1)
So, slope for the equation is
sloe= (-1 - 7)/ (9- 5)
slope = -8/ 4
slope= -2
Now, using slope- intercept form
y - b = m ( x- a)
y - 7= -2( x - 5)
y- 7 = -2x + 10
y= -2x + 17
Hence, the equation of line AB is y= -2x +17
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ2
write 5 3/5 improper fraction
Answer:
28/5 is the answer.
Step-by-step explanation:
Multiply the denominator by the whole number
5 × 5 = 25 Then we add the answer from the last step to the numerator 25 + 3 = 28 next we write the answer from the last step over the denominator which is 28/5.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{5\dfrac{3}{5}}\\\\\mathsf{= \dfrac{5\times5+3}{5}}\\\\\mathsf{= \dfrac{25 + 3}{5}}\\\\\mathsf{= \dfrac{28}{5}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{\dfrac{28}{5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Simplify the following expression.
5/6 x 3/5
Answer:
1/2
Step-by-step explanation:
5/6 • 3/5
15/30 = 1/2
Answer:
1/2
Step-by-step explanation:
For fraction multiplication, multiply the numerators and then multiply the denominators to get
5 × 3/ 6 × 5 = 15/30
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using
GCF(15,30) = 15
15 ÷ 15/30 ÷ 15 = 1/2
Therefore:
5/6 × 3/5 = 1/2
If x # y = 2x + y, then 1 # 2 =
Answer:
1 # 2 = 4
Step-by-step explanation:
1 # 2 = 2*1 + 2 = 2 + 2 = 4
BA is congruent to BC and DA is congruent to EC. Prove BD is congruent to BE.
Answer:
See below for answer.
Step-by-step explanation:
BA ≅ BC Given
DA ≅ EC Given
BA + DA ≅ BC + EC Congruent parts are congruent
BD ≅ BE Addition
The conjugate of (2+i)²/3+i, in the form of a+ib, is
13/2 + i(25/2)
13/10 + i(-15/2)
13/10 +(-9/10)
13/10+(9/10)
Given that
(2+i)²/(3+i)
On multiplying both numerator and the denominator with (3-i) then
⇛ [(2+i)²/(3+i)]×[(3-i)/(3-i)]
⇛ [(2+i)²(3-i)]/[(3+i)(3-i)]
⇛ [(2+i)²(3-i)]/[(3²-i²)
⇛ [(2+i)²(3-i)]/(9-i²)
⇛ [(2+i)²(3-i)]/[9-(-1)]
Since ,i² = -1
⇛ [(2+i)²(3-i)]/(9+1)
⇛ [(2+i)²(3-i)]/10
⇛ [{2²+i²+2(2)(i)}(3-i)]/10
⇛ (4+i²+4i)(3-i)/10
⇛ (4-1+4i)(3-i)/10
⇛ (3+4i)(3-i)/10
⇛ (9-3i+12i-4i²)/10
⇛ (9+9i-4(-1))/10
Since, i² = -1
⇛(9+9i+4)/10
⇛(13+9i)/10
⇛ (13/10)+ i (9/10)
We know that
The conjugate of a+ib is a-ib
So,
The conjugate of (13/10)+ i (9/10) is
(13/10)-i(9/10) ⇛ (13/10)+i (-9/10)
Answer:-The conjugate of (13/10)+ i (9/10) is (13/10)+i (-9/10)
Additional comment:
The conjugate of a+ib is a-ib and i = -1(a+b)² = a²+2ab+b² • (a+b)(a-b)=a²-b² •(a-b)²=a²-2ab+b².if a diagram shows a square with perimeter 40cm whats the percentage of the area inside the square that is shaded
Answer:
5
Step-by-step explanation:
Eacl side of the square has a length of 5 cm.
Answer:
55%
Step-by-step explanation:
i assume your question is from mathswatch
And this is the answer for it!
If x=5 and y=3 find the value of x+2y
Answer:
x=5
y=3
then ,
x+2y= 5+2 *3
= 5+6
= 10
pls help 3 x 2 + 6 (4+1) = ???
Answer:
17 IS THE ANSWER......................
Answer:
Your answer should be 36.
help me please with my math
Answer:
P = 47.1 units
Step-by-step explanation:
the perimeter of the pair of straight opposite sides is 11+11, or 22
now you have 2 semi-circles, which equals 1 full circle which, if we find the circumference to then we just add it to 22 to get the entire answer
Circumference of circle with diameter of 8:
C = 2πr
C = 2π(4)
C = 8π
C = 25.13
now add 22 + 25.13 to get 47.1 rounded to nearest tenths place
Solve the system.
y-x=4
x+y=6
Answer:
x=1 y=5
Step-by-step explanation:
y=4+x
x=y=6
x+4+x=6
y=4+x
2x+4=6
y=4+x
2x=2
y=4+x
x=1
y=4+x
y=5
x=1
pls solve Solve. 3/4(x−8) =−1/2
x=−26/3
x = 10
x=22/3
Answer:
i think its the 3rd option
Step-by-step explanation:
i'd'k what it is but you can read it over and over again
(p.s Brainleist?)
Answer:
x=22/3
Step-by-step explanation:
Which shows the prodcuts orderd from least to greatest
What is the value of x in the triangle?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x is ~
[tex] \boxed{5 \sqrt{3} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The Triangle stated in the diagram is a right angled Triangle, so
[tex] \tan(30) = \dfrac{x}{15} [/tex][tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex][tex]x = \dfrac{15}{ \sqrt{3} } [/tex][tex]x = 5 \sqrt{3} [/tex]- b. Yolanda played a new number game with Xavier. She used this equation to generate her response to each number Xavier said: y = x - 2 Describe with words the rule Yolanda uses. Then make a function table a that shows the numbers Yolanda says for four numbers Xavier might say. Use 0 for one of Xavier's numbers and three more numbers of your choosing. Is the function linear? Is it proportional?
(a) One possibility is 8.45
Rounded to the nearest integer = 8
Rounded to the nearest tenth = 8.5
And rounding this to the nearest integer = 9
(b) The possible numbers are 8.45 to 8.49, inclusively
Answer:
Table is below in explantation
Not proportional
yes, linear
Step-by-step explanation:
We substitute and solve:
TABLE:
X --> Y
0 --> -2 (0-2 = -2)
1 --> -1
2 --> 0
Yes, it is linear, the slope is 1 and is written in slope - intercept form
No, not proportional, the y - intercept is (0, -2) not (0,0)
Find the equations of a line through these 2 points
(1,2) & (3,5)
2. (-2,0) & (0,8)
3. (4,-5) & (11,-5)
4. (6,2) & (9,3)
6. (6,2) & (10,3)
5. (7,5) & (6,11)
answer is 2.2 66 88862 u88272
1. Find the slope of the line that passes through
the points (6, 13) and (-3, 7).
Answer:
hope this helps :)
HELP PLEASE
Acellus
Solve this system of equations by
using the elimination method.
Answer:
(2, 2)Step-by-step explanation:
Add up the equations, it will eliminate x as variable:
3x + 6y - 3x + 4y = 18 + 210y = 20y = 2Find the value of x:
3x + 6*2 = 183x + 12 = 183x = 6x = 2Given : -
3x + 6y = 18 ... (1)-3x + 4y = 2 ... (2)To find : -
Solution x and y?Solution : -
3x + 6y = 18
-3x + 4y = 2 +
10y = 20
y = 20/10 = 2[tex] \: [/tex]
3x + 6y = 18
3x + 6(2) = 18
3x + 12 = 18
3x = 18 - 12
3x = 6
x = 6/3 = 2[tex] \: [/tex]
(2 , 2)An art club sells 42 large candles and 56 small candles.
a. Use the Distributive Property to write and simplify an expression for the profit.
expression for the total profit:
_(_-x) + (_-y)
simplified expression for the total profit:
b. A large candle costs $5, and a small candle costs $3. What is the club’s profit?
club's profit: $
Answer:
(700-42-56)
Step-by-step explanation:
10-x
5-y
4 in a cell of 42 large candles and 56 small candles the total profit would be p equals 40 to 10 - x + 56 * 5 - y
7th grade math please help
Answer:
11.8
Step-by-step explanation:
brainlest
If Martin buys a coke for $1.85 on a credit card that charges 22% interest compounded monthly what will the coke actually cost him if he does not pay the credit card off in five years?
Using compound interest, it is found that the coke will actually cost him $5.50.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The coke is bought for $1.85, hence [tex]P = 1.85[/tex].The interest rate is of 22%, hence [tex]r = 0.22[/tex].It is compounded monthly, hence [tex]n = 12[/tex].Five years, hence [tex]n = 5[/tex]Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(5) = 1.85\left(1 + \frac{0.22}{12}\right)^{12(5)}[/tex]
[tex]A(5) = 5.50[/tex]
The coke will actually cost him $5.50.
A similar problem is given at https://brainly.com/question/14239300
Diagram 5 shows a triangle ABD such that AD = 17 cm, AB = 10 cm and BD = 21 cm. The straight line AC is perpendicular to the straight line BD and the value of area of triangle ABD is an integer. Calculate the length of AC, in cm. (4 marks)
Answer:
8
Step-by-step explanation:
100 = x^2 + AC^2
17^2 = AC^2 + (21 - x)^2
289 = AC^2 + 21^2 + x^2 - 2*21*x
289 = AC^2 + 441 + x^2 - 42x
from 1st equation AC^2 + x^2 = 100
289 = 441 + 100 - 42x
289 = 541 - 42x
42x = 541 - 289 = 252
x = 252/42 = 6
so AC^2 = 100 - 6^2 = 100 - 36 = 64
AC = 8
What is (n+9) - (2-2n)
Answer:
Simplifying
(n + 9) + -1(2 + -2n) = 0
Reorder the terms:
(9 + n) + -1(2 + -2n) = 0
Remove parenthesis around (9 + n)
9 + n + -1(2 + -2n) = 0
9 + n + (2 * -1 + -2n * -1) = 0
9 + n + (-2 + 2n) = 0
Reorder the terms:
9 + -2 + n + 2n = 0
Combine like terms: 9 + -2 = 7
7 + n + 2n = 0
Combine like terms: n + 2n = 3n
7 + 3n = 0
Solving
7 + 3n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3n = 0 + -7
Combine like terms: 7 + -7 = 0
0 + 3n = 0 + -7
3n = 0 + -7
Combine like terms: 0 + -7 = -7
3n = -7
Divide each side by '3'.
n = -2.333333333
Simplifying
n = -2.333333333
Step-by-step explanation:
a sum of money at simple interest doubles itself in 10 years .Find the rate percent per annum
Answer:
Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.
Pls solve this question
Cuanto le mide a messi la tula ?
Answer:
5’7”
Step-by-step explanation:
te refieres a lionel messi? el mide 5'7 ".
Perdon, mi español no es muy bueno :)
What is the slope of the line that passes through (0, 7) and (3, 10)?
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 10 )
m = [tex]\frac{10-7}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1
Plz plz plz plz plz