[tex]\text{Hello there! :)}[/tex]
Answer:
[tex]\boxed{\text{Center at } (7, -4), \text{ Radius of } 7.}[/tex]
[tex]\text{Formula for a circle: } (x - h)^{2} + (y - k)^{2} = r^{2} \text{ Where:}[/tex]
[tex]h = \text{ x-coordinate of center}\\\\k = \text{ y-coordinate of center}\\\\r = \text{ radius}\\\\\text{Therefore:}[/tex]
[tex]\text{In the equation } (x - 7)^{2} + (y + 4)^{2} = 49:[/tex]
[tex]h = 7\\\\k = -4\\\\r = \sqrt[]{49} = 7 \\\\\text{So:}[/tex]
[tex]\text{Center at } (7, -4), \text{ Radius of } 7.[/tex]
Answer:
Center = (7, -4)
Radius = 7
Step-by-step explanation:
The general equation of a circle is:
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
where (h, k) is the center of the circle and r is the radius.
The equation given is in the form of the general equation of a circle. Knowing this, we will be able to find the center and radius by finding h, k, and r.
[tex](x-7)^{2}+(y+4)^{2}=49[/tex]
We can turn the 49 into 7² (√49 = 7, so 49 = 7²) and turn the equation into:
[tex](x-7)^{2}+(y+4)^{2}=7^{2}[/tex]
Now we can see that:
h = 7
k = -4
r = 7
So the center of the circle would be (7, -4) and the radius would be 7.
I hope you find my answer helpful.
The perimeter of a rectangle is 234 meters.
The rectangle is twice as long as it is wide.
What are its length and width?
I am going to show you how easy this is. Once you understand, you will be able to do this forever.
:
Assuming the side of the rectangle are (L) length and (W) width, the perimeter:
2L + 2W = 234
:
"the rectangle is twice as long as it is wide,", the equation for this statement:
L = 2W
:
In the first equation, we can replace L with 2W, then we have
2(2W) + 2W = 234
4W + 2W = 234
6W = 234
Divide both sides by 6
W = 234%2F6
W = 39 meters is the width
:
Remember it said the length is twice the width, therefore:
L = 2(39)
L = 78 meters is the length
:
:
Check this by finding the perimeter with these values
2(78) + 2(39) =
156 + 78 = 234
If ax^3+bx^2+ cx+d is divided by (x - 2), the coefficients of quotient are 2,-1, 3 and the remainder
is 4. then the polynomial is
a) 21 +5x² +5.1-2
b) 21 - 5x² + 5x-2
c) 2r-5x² + 5x+2
d) 2x + 5x + 5x+2
Please say the Answer
Step-by-step explanation:
Polynomial = (2x² - x + 3)(x - 2) + 4 = 2x³ - 5x² + 5x - 2. (B)
Slope intercept form of an equation of the line with slope 3 and passes through the points (-1,-2)
Answer:
Step-by-step explanation:
y + 2 = 3(x + 1)
y + 2 = 3x + 3
y = 3x + 1
Find the slope of the line that passes through the points (2, -5) and (7, 1) (find the answer to the last step)
Step 1: Choose (x1, y1)
X1= 2 y1= -5
Step 2: Identify (x2, y2)
X2= 7 y2= 1
Step 3: Apply the slope formula m= 1-(-5)/7-2.
m=____
Answer:
1-(-5)/7-2
5/5
1
y2=1
again
5+2
7
The slope of the line will be equal to 1.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The slope of the line will be calculated by using the formula below:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The given points are:-
Choose (x1, y1)
X₁= 2 y₁= -5
Identify (x2, y2)
X₂= 7 y₂= 1
Apply the slope formula:-
m= ( y₂ - y₁ ) / ( x₂ - x₁ )
m= 1-(-5)/7-2.
m= ( 5 / 5 )
m = 1
Therefore, the slope of the line will be equal to 1.
To know more about slopes follow
brainly.com/question/3493733
#SPJ2
Solve for x the triangles are similar
Answer:
x = 13
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{DC}{DU}[/tex] = [tex]\frac{CB}{UT}[/tex] , substitute values
[tex]\frac{11x-13}{60}[/tex] = [tex]\frac{169}{78}[/tex] ( cross- multiply )
78(11x - 13) = 10140 ( divide both sides by 78 )
11x - 13 = 130 ( add 13 to both sides )
11x = 143 ( divide both sides by 11 )
x = 13
in a class of 32 students the mean height of the 14 boys is 1.56 metres the mean height of the 32 students is 1.515 metres work out the mean height of the girls show your working out
Answer:
1.515 = 14* 1.56 + 18*x/(32)
0r, 18x= 1.515*32 - 14*1.56
or, 18x= 26.64
x= 1.48
Step-by-step explanation:
Answer:
mean height of girls = 1.48 m
Step-by-step explanation:
Find the sum height of 32 students.
Sum of the height of 32 students = 32 * mean of 32 students
= 32 * 1.515
= 48.48 m
Sum of the height of 14 boys = 14 * mean of 14 boys
= 14 * 1.56
= 21.84
Number of girls = 32 - 14 = 18
Sum of the height of 18 girls = 48.48 - 21.84 = 26.64 m
Average of the height of 18 girls = 26.64 ÷ 18
= 1.48 m
How do you write 27 in standard form?
Please can you give more different examples and explanation detail so I will understand.Please guys help...
Answer:
Cardinal: twenty seven
Ordinal: twenty seventh
Step-by-step explanation:
hope this helps!!!!!!
Answer:
2.7×10
Step-by-step explanation:
Basically the number 27 has to be in between the numbers 0 and 10.
So to do that you have to divide 27 by 10 until it is between 0 and 10 which is then 2. 7,
And to get the 10 you have to count how many times you had to divide 27 by 10 to get which is 1 so you leave it as ten so the answer you get is
2.7 x 10
HOPE THIS HELPS.
if you are still stuck just let me now and I will help you :)
What is the value of x in the equation: 3 (4x - 1) - 3x = - (x + 2)?
Give your final answer in Decimal form.
Solution:
[tex]-0.5[/tex]
Steps:
[tex](4x - 1) - 3x = - (x + 2)[/tex]
Start with the left side and combine like terms
[tex]4x-1-3x=-(x+2)\\[/tex]
Combine [tex]4x[/tex] and [tex]-3x[/tex]. After doing this, you would have [tex]x[/tex] because 4-3 = 1
[tex]x-1 =-(x+2)[/tex]
Then, you can distribute the negative on the right side
[tex]-(x+2) = -(x)+-(2) = -x-2[/tex]
You would end up with
[tex]x-1=-x-2[/tex]
Add x to each side.
[tex]2x-1=-2[/tex]
Add 1 to each side
[tex]2x=-1[/tex]
Divide each side by 2 to simplify.
[tex]x=-1/2\\x = -0.5[/tex]
IMPORTANT PLEASE I NEED NOW:Find the area of each face of the cube whose volume is 729 cm
Answer:
81
Step-by-step explanation:
square root of 729= 9
9×9=81
Answer:
Step-by-step explanation:
Formula of Volume= [tex]a^{3}[/tex] - a = side
Therefore since the volume is given you just need to find the side.
729=[tex]a^{3}[/tex] = [tex]\sqrt[3]{729}[/tex] = a
= 9 = a
Now you know that 9 is the side, so using that find the area of one face-
Area of a square= 9 x 9 = 81[tex]cm^{2}[/tex]
Mark is 5 years older than Juan, who is X year old. Write an expression for Mark's age.
Answer:
y = x+5 where y is Mark's age
Step-by-step explanation:
Hi there, to answer this problem, you need to really think about what it is asking. In saying that mark is 5 years older than Juan, we know it is going to involve addition. Then, you simply need to think about the relation to Juan's age. In this case, Mark is older so you add to it. Hope this helped!
preston is going to spin a spinner 1200 times. if the spinner is divided into equal sections,about how many times will the spinner land on the white region?
450
Step-by-step explanation:
4(5n -7) =10+2 i need step by step explanation i dont get it
Answer:
n=2
Step-by-step explanation:
4(5n-7)=10+2
1) First, distribute (multiply out 4)
20n-28=10+2
2) Combine like terms (add 10 and 2)
20n-28=12
3) Isolate the variable (Add 28 to 12)
20n=40
4) Isolate the variable (Divide by 20)
n=2
Calculate the distance between (5, 3) and (-1, 6). Round your answer to the nearest tenth if necessary. (One place after the decimal)
Answer:
[tex] {xy}^{2} = {6}^{2} + {3}^{2} =45 \\ xy = \sqrt{45} = 6.71[/tex]
sorry but I am not sure if this is right :(
5x-5<5(x-4) true, never true, or sometimes true?
Answer: never true
Step-by-step explanation:
What is the y-intercept of the line - 2x - 5y = 20?
The y-intercept is [tex]y=\frac{2}{5} x-4[/tex]
8=8p+13−3p please help
Answer:
-1=p
Step-by-step explanation:
8=8p+13-3p
8-13=8p-3p
-5=5p
-5÷5=5p÷5
-1=p
How many terms are in the expression 4a - 2b + 8 - 3a - 4b?
A.13
B.3
C.5
D.9
Answer:5 terms
Step-by-step explanation:
Ronnie wants to buy a computer table that measures 10 feet by 17 feet. The cost of the table is $16 per square foot. How much will it cost Ronnie to buy the computer table for his study room?
Answer:
Pongamos los datos
supongamos que la sala costo x
si la sala costo x, el comedor costo el doble, osea 2x
luego dice que la sala costo el triple de la mesa, si la sala costo x, la mesa costo x/3
ahora reemplazamos: dice que todo costo 35000
x + 2x + x/3 = 35000
3x/3 + 6x/3 + x/3 = 35000
10x/3 = 35000
10x= 105000
x = 10500
reemplazamos todos los datos
la sala costo x, entonces la sala costo 10500
el comedor costo 2x, entonces 2(10500) = 21000
la mesa costo x/3, entonces 10500/3 = 3500
Step-by-step explanation:
8-8(1+3x) = 23-x show all work!
Answer:
x=−1
Step-by-step explanation:
I hope this help helps
Answer:
8-8(1+3x)=23-x
8-8-24x=23-x
-24x=23-x
-23=-x+24
-23=23x. (÷b.s by 23)
x= -1
(14x + 30)
z
(5x + 66)
Find the exact length of the third side.
60
45
Find the unit rate of the equation.
Y= -2x
NO SPACES AND NO DECIMALS
Happy Paws charges
$20.00 plus $4.00 per hour
to keep a dog during the day. Woof Watchers charges
$9.00 plus $5.00 per hour.
Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable x to represent the
number of hours.
Answer:
Happy paws
y = 20 + 4x
Woof watchers
y = 9 + 5x
x = 11 hours
Step-by-step explanation:
Let
Number of hours = x
Total cost = y
Total cost = fixed cost + variable cost
The equations are:
Happy paws
y = 20 + 4x
Woof watchers
y = 9 + 5x
solve the equation to find for how many hours the total cost of the services is equal.
Equate total cost of both services
20 + 4x = 9 + 5x
Collect like terms
20 - 9 = 5x - 4x
11 = x
x = 11 hours
Check:
Happy paws
y = 20 + 4x
= 20 + 4(11)
= 20 + 44
= 64
Woof watchers
y = 9 + 5x
= 9 + 5(11)
= 9 + 55
= 64
14a = 11 find a needs to be simplified
Answer:
a = 11/14
Step-by-step explanation:
14a / 14 == 11 / 14
a = 11 / 14
a = 11/14
Hope this Helped
Brainliest is appreciated.
Charlie had a -$38.00 balance in his checking account. He deposited $126.00 into the account. What is his new balance?
Answer:
$88
Step-by-step explanation:
-38+126=$88
Tommy, Ali, and Jack each have a band. Tommy’s band has won three less awards then Ali. Jacks band has won twice as many bands as Tommy. They have a total of 23 awards. Find the number of awards each persons’ band has won.
Answer:
Tommy's band won 5 awards, Ali's band won 8 awards and Jack's band won 10 awards.
Step-by-step explanation:
Let the number of awards Tommy won be x.
Number of awards Ali won -> x+3
Number of awards Jack won -> 2x
[tex]x+x+3+2x=23[/tex]
[tex]4x+3=23[/tex]
Subtract 3 from both sides:
[tex]4x+3-3=23-3[/tex]
[tex]4x=20[/tex]
Divide both sides by 4:
[tex]\frac{4x}{4}=\frac{20}{4}[/tex]
[tex]x=5[/tex] (Tommy)
[tex]5+3=8[/tex] (Ali)
[tex]5\times2=10[/tex] (Jack)
Answer: Tommy won 5 awards. Ali won 8 awards. Jack won 10 awards.
Step-by-step explanation:
First give each person a variable:
Tommy = y
Ali = a
Jack = x
Then figure out the equations:
Tommy won 3 less awards than Ali, so the equation would be (y = a - 3).
Jack won twice as many awards as Tommy, so the equation would be (x = 2y)
All three won a total of 23, so that would be (23 = y + x + a)
Next, plug in (2y) into the (x) of (23 = y + x + a)
This would result in (23 = 3y + a)
Then you would plug in (a - 3) into (y)
This would result in (23 = 4a - 9)
Solve for a: (a = 8)
Now that you know (a = 8), plug that into the first equation (y = a - 3) to find (y).
Answer: (y = 5)
Use (y = 5) and plug it into the second equation (x = 2y) to find (x)
Answer: (x = 10)
Answers:
a = 8
y = 5
x = 10
Help please
Options:
Given
Addition property of equality
Multiplication property of equality
Division property of equality
Write an equivalent expression( which means simplified)
Distributive property
Answer:
a: given
b: multiplication property of equality
c: distributive property
d: simplified
e: addition property of equality
f. division property of equality
Step-by-step explanation:
step a will always be given because it is starting equation. step b is multiplication property because everything is multiplied by two so you don't have to deal with decimals. step c is distributive because you distribute the -5s in the parentheses. step d is simplified because they combined like terms and nothing changed sides. step e is addition property because you added 5x to both sides. step f is division property because -7 is divided from each side.
What expressions are equivalent to 3x+5x+8 and 4x+4x
The average of the degree
measures of all angles of an
octagon is less than the average of the degree measures of all angles
of the decagon by:
A. 15 degrees
B. 12 degrees
C. 11 degrees
D. 9 degrees
which steps should be used to compare the fraction 2/9 and 5/6
Answer:
last one
Step-by-step explanation:
[tex]\frac{2}{9} *\frac{2}{2 }= \frac{4}{18}[/tex] [tex]\frac{5}{6} *\frac{3}{3} = \frac{15}{18}[/tex]after multiplying the fractions by 2/2 and 3/3 we get a common denominator wich allows us to compare the fractions
Answer:
It is D
Step-by-step explanation:
