Answer: x=4
Step-by-step explanation:
multiply each side by the denominator to cancel out the fraction so the new equation is 16=4x then divide by 4 to eliminate the x and 16 divided by 4 is 4 which is the anwser.
Find an equation of the circle that has center (-1,6) and passes through (-6,1)
Answer:
(x + 1)² + (y - 6)² = 50
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius.
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 1, 6) and (x₂, y₂ ) = (- 6, 1)
r = [tex]\sqrt{(-6+1)^2+(1-6)^2}[/tex]
= [tex]\sqrt{(-5)^2+(-5)^2}[/tex]
= [tex]\sqrt{25+25}[/tex]
= [tex]\sqrt{50}[/tex]
(h, k ) = (- 1, 6 ), then
(x - (- 1))² + (y - 6)² = ([tex]\sqrt{50}[/tex] )² , that is
(x + 1)² + (y - 6)² = 50 ← equation of circle
if I burned 225 calories in 45 minutes how much will I burn in one minute
Answer:
5 calories per minute
Step-by-step explanation:
225÷45=5
Can someone explain how to solve this?
Answer:
here you go. hope this helps!
3. What problems would you encounter if the ladder were too short or too long? (1 point)
The ladder were too short or too long is p
If the ladder was too short you wouldn’t be able to get to the place you need the ladder for.
What is the right angle triangle?A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.
If the ladder was too long you have a high chance of falling and being too high to reach where you’re trying to go.
Therefore the answer is :p
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6 to the power 4 simplified
Answer:
1296
Step-by-step explanation:
6x6x6x6
6^4
Answer:
6×6×6×6
Step-by-step explanation:
I hope this helps
What is the percent change from 9,000 to 900?
Answer:
-90%
Step-by-step explanation:
Change/ original x 100
9000-900= 8100
8100/9000= 0.9
0.9 x 100 = 90
If f(x) = 5x - 12, find f(x) when x= - 12
Plz answer
Answer:
-72
Step-by-step explanation:
first replace x with -12 so 5(-12)-12
then simplify which makes it -60-12
finally solve that which gives you -72
hope this helps :)
[BRAINLIEST] To manufacture an automobile requires painting, drying, and polishing. Epsilon Motor Company produces three types of cars, the Delta, the Beta, and the Sigma. Each Delta requires hours for painting, hours for drying, and hours for polishing. A Beta requires hours for painting, hours for drying, and hours for polishing, and a Sigma requires hours for painting, for drying, and for polishing. If the company has hours for painting, hours for drying, and hours for polishing per month, how many of each type of car are produced?
Answer:
The company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
Step-by-step explanation:
let in the motor company x number of delta cars, y number of beta cars and z number of sigma cars are manufactured.
from the condition given in the question we can write
9x + 13y + 9z = 257 ........ (1)
4x + 6y + 4z = 116 ........... (2) and
3x + 4y + z = 59 ......... (3)
From equation (2) we get
9x + 13.5y + 9z = 261 ....... (4) {Multiplying with both sides}
solving equations (1) and (4) we get
0.5y = 4
and ⇒ y = 8.
from equation (2) putting the value of y we get,
4x + 4z = 116 - 48 = 68
⇒x + z = 17 .....(5)
Now, from equation (3) putting y = 8 we get,
3x + z = 59 - 32 = 27 ....... (6)
hence, solving equations (5) and (6) we get, 17 - x = 27 - 3x
⇒ 2x = 10
⇒ x = 5
So, z = 17 - x = 12
therefore, the company manufactures 5 delta cars, 8 beta cars and 12 sigma cars.
what the slope of(12,7) (5,9)
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[tex]slope = \frac{9 - 7}{5 - 12} \\ [/tex]
[tex]slope = \frac{2}{ - 7} \\ [/tex]
[tex]slope = - \frac{2}{7} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂,y₂) are the points on the line.
We are given the points (12,7) and (5,9). Therefore:
[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m=\frac{9-7}{5-12}[/tex]
Solve the numerator.
Subtract 7 from 9 9-7=2[tex]m=\frac{2}{5-12}[/tex]
Solve the denominator.
Subtract 12 from 5 5-12= -7[tex]m=\frac{2}{-7}[/tex]
This fraction cannot be reduced further, so it is the answer.
The slope of the line is -2/7
1 point
Which of the following is the earliest
date?
O June 7, 1979
O July 17, 1997
O July 1, 1979
O June 17, 1997
O June 1, 1997
Answer:
June 7th, 1979
Step-by-step explanation:
1979 comes before 1997, so that eliminates those. Then June comes before July. So June 7th, 1979.
June 7, 1979, is the earliest date. Option A is correct.
How to represent the date?The recommended format for writing dates is YYYY-MM-DD, which stands for year, month, and day.
Since 1979 came before 1997, those are disregarded. June, therefore, precedes July. So, it's June 7, 1979.
The earliest date is June 7, 1979.
Hence option A is correct.
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Solve the simultaneous equations
x + 6y = 20
x + 3y = 14
x =
Y=
Answer:
x = 8, y = 2
Step-by-step explanation:
Multiply the second equation by -2:
x + 6y = 20
-2x - 6y = -28
Add the equations and simplify:
-x = -8
x = 8
Plug x = 8 back into the first equation and solve for y:
8 + 6y = 20
6y = 12
y = 2
Answer:
x=8
Y=2
or
(x,y)=(8,2)
Step-by-step explanation:
x+6y=20
x+3y=14
solve the equation for x
x+6y=20
x=14-3y
substitute the given value of x into the equation
x+6y=20
14-3y+6y=20
14+3y=20
3y=20-14
3y=6
3y/3=6/3
y=2.
substitute the given value of y into the equation
x=14-3y
x=14-3×2
x=14-6
x=8.
the possible solution of the system is the ordered pair (x,y)
(x,y)=(8,2)
or
x=8
Y=2
Proof:
Check if the given ordered pair is the solution of the system of equations
8+6×2=20
8+3×2=14
simply the equalities
20=20
14=14
since all of the equalities are true, the ordered pair is the solution of the system
(x,y)=(8,2)
please help i’m so close to being done :(
Answer:39 i dont im 12 ps out
Step-by-step explanation:
2/18 x 16
answer fast !!!!!!!!!!!!!!
A rhombus is graphed
on the set of axes below.
Answer:
Step-by-step explanation:
reflection over y-axis
Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.
We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.
A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:
180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.
Therefore, it is a possible transformation that carries the rhombus onto itself.
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NEED ASAP . Plz help
Find the missing value of x in the arithmetic sequence below.
x, 16, 20, 24, 28
Answer:
x=12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
just find the arithimetic sequence and count backwards have a great day
pls help on these two math questions ill give brainlyest to first correct answer
Answer:
#1: Dillon, Harry, Paul, Winston #2: B
Step-by-step explanation:
#1: Absolute value is the opposite of the negative number, so it's just 2, 8, 10, and 13.
#2: Count by 10's, it's on the 50 line
Answer:
1)Dillon, Harry, Paul and Winston
2) C
What is the equation of this graphed line?
Enter your answer in slope-intercept form.
Please answer quickly, whoever answers correctly I will give Brainliest, thank you.
Find the length of side x in simplest radical form with a rational denominator
Answer:
The length of x=3/1
Step-by-step explanation:
Given the right triangle
Ф = 30
We know that
sin Ф = opposite/hypotenuse
The opposite of angle 30° = x
The hypotenuse is = 6
so
sin 30 = opposite/hypotenuse
1/2 = x/6 ∵ sin 30 = 1/2
1/2 × 6 = x
6/2 = x
3/1 = x
Therefore, the length of x=3/1
There are 5 less oranges on the tree today than there was yesterday
Plz help
The no. of apples on the tree today
= The no. of apples on the tree yesterday - 5
Let us take 'the no. of apples on the tree today' as 'x'
and 'the no. of apples on the tree today' as 'y'
Therefore, x = y - 5
Hope this is the thing u are looking for
you have 50$ and want to buy some shoes that cost $45. the tax rate for the shoes is 7%. do you have enough money to buy the shoes?
Please answer questions answer don't write a random word I will report and get banned from the site
Answer:
Yes, you have enought money
Step-by-step explanation:
45 times 107% (100 for the total cost and and 7 for the tax) is equal to 48.15. You have 50 dollars, therefore you can buy your shoes.
n(A)=10
n(B) = 12
n(AUB) = ?
Answer:
n(AUB) = 33
Step-by-step explanation:
U is the 21'st letter of the alphabet so
9 + 1 + 2 + 21 =33
n(AUB) = 33
Solve for x and y by elimination 3x+y=-1
Answer:
we need 2 equations to solve by elimination
Answer:
Step-by-step explanation:
for x
3x + y = -1
subtract 3x from both sides
y = -3x - 1
answer
for y
3x + y = -1
subtract y on from both sides
3x = -y -1
divide by 3
x = -1/2y - 1/3
answer
What is the gcf of 51 and 3
Answer:
3
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
The factors of 51: 1, 3, 17 and 51.The factors of 3: 1,3So the greatest number of both is 3
Hope this helps
after scoring a touchdown the billies linked up for the kickoff . the kicker kicked the football 60 yards deep into the end zone. the hang time on the ball was 8.5 seconds . what was the average speed of the ball
Answer:
7 seconds i think let me know if its wrong
Step-by-step explanation:
20 pointsBRAINLEST!!!!!!!!!! and PointsAfter an accident, police can use the formula v=25L to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
The correct format of the question is
After an accident, police can use the formula [tex]v=2\sqrt{5L }[/tex] to estimate the speed, v, in miles per hour, that a car was traveling by measuring the length of the skid marks, L, in feet. Estimate the speed of a car that left skid marks 118 ft long. If the posted speed limit is 45 mi/h, was the car speeding? The speed of a car that left skid marks 118 ft long was about nothing mi/h.
Answer:
48.6mi/h, Yes the car was speeding.
Step-by-step explanation:
The speed of the car is given by [tex]v=2\sqrt{5L }[/tex]
Skid length (L) = 118ft
V= [tex]2\sqrt{5*118}[/tex]
= 2 [tex]\sqrt{590}[/tex]
= 2*24.3
V = 48.6mi/h
Since the speed limit is 45mi/h and the velocity of this driver is 48.6mi/h it is clear that was speeding by 3.6mi/h over speed limit.
Convert 21.3 feet per minute to yards per minute.
Answer:
7.1 yard per min
Step-by-step explanation:
chemical formula for lithium bromide
Answer:
The molecular or chemical formula of Lithium Bromide is LiBr. Lithium Monobromide is synthesized by treating lithium carbonate (Li2CO3) with hydrobromic acid (HBr). The salt forms cubic crystals which are similar to sodium chloride.
Step-by-step explanation:
hope this helped:)
Answer:
lithium bromide is a chemical compound of lithium and bromine
Step-by-step explanation:
Br-Li+
Evaluate p2 - r2 for p = 10, r = -4 and t = 5.
Answer:
84
Step-by-step explanation:
p^2-r^2= 10^2-(-4)^2
100-16=84
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 34 books. There are 1,265 mystery books. How many shelves will he need to build?
Answer:
37.2 = 38
Step-by-step explanation:
After divideing 1265 by 34, you will get 37.2. As you cannot have books not in bookshelves, you will have to round up and have 38 bookshelves.