We are given the equation of circle (x - 7)² + (y - 3)² = 64² , but let's recall the standard equation of circle i.e (x - h)² + (y - k)² = r², where (h, k) is the centre of the circle and r being the radius ;
So, consider the equation of circle ;
[tex]{:\implies \quad \sf (x-7)^{2}+(y-4)^{2}=(64)^{2}}[/tex]
On comparing this equation with the standard equation of Circle, we will get, centre and radius as follows
Centre = (7, 4)Radius = 64 unitsFactor completely 2x2 – X – 4.
(3x - 1)(x + 4)
(3x + 4)(x - 1)
(3x − 2)(x + 2)
-
(3x – 4)(x + 1)
-
[tex]2x {}^{2} - x - 4[/tex]
[tex]x = \frac{ - ( - 1) + \sqrt{1 - 4(2)( - 4)} }{2(2)} = \frac{1 + \sqrt{33} }{4} [/tex]
[tex]x = \frac{1 - \sqrt{33} }{4} [/tex]
[tex](x - \frac{1 + \sqrt{33} }{4} )(x - \frac{1 - \sqrt{33} }{4} )[/tex]
[tex](4x - 1 - \sqrt{33} )(4x - 1 + \sqrt{33} )[/tex]
The perimeter of the rectangle below is 168 units. Find the length of side AB.
Write your answer without variables.
D
С
AB
0
4z + 1
SZ+2
Answer:
47
Step-by-step explanation:
10z + 4 + 8z + 2 = 168
first we find z
z = 9
5×9 +2 is 47
ANSWER IS 47
Select all expressions equivalent to
532
20
202
124
55
51.43
5.43
proof for the extreme value theorem
Use the graph of triangle JKL to answer A and B
a. Reflect JKL over the x-axis. Record the coordinates of
the original and new image below.
b. Describe what happened to the x and y coordinates
once they were reflected.
2 Use the coordinates of triangle QRS to answer a-b.
Answer:
a) J':(-7,7) K':(-5,2) L':(-2,3)
b) The x coordinates remained the same, the y coordinates swapped from negative to positive.
Step-by-step explanation:
Aside: I'm using J', K', and L' to denote the new locations of J,K,L after the reflection.
When an object is reflected over the x-axis, it means it's positive points will flip to negative y space, and negative points will flip to positive y space.
That said, J, for instance, will have the same X-coordinate, but its Y-coordinate will flip from negative to positive. Doing this with every vertex mirrors the triangle over the X-axis.
Therefore, J:(-7,-7) will become J':(-7,7), and likewise with K and L becoming K':(-5,2) and L':(-2,3).
Answer:
Step-by-step explanation:
PLEASE HELP ILL MARK AS BRAINLIEST!!! Select the correct answer.
What is the value of this expression when c = 25 and d= 14?
a. 50
b. 7
c. -6
d. -10
which of the following is the equation of the one that passes through the point
Answer:
C
Step-by-step explanation:
the answer is C
( -6 , 1 )
y = -1/2x - 2
if x = -6
y = -1/2(-6) - 2
y = 3 - 2
y = 1
2 triangles. One triangle has side lengths x, 3 units, 4 units. The other triangle has side lengths 11 units, y, 8 units. The two figures are the image and pre–image of a dilation. Find the lengths of the missing sides. x = units, y = units
Answer:
5.5 and 6
Step-by-step explanation:
i got it wrong and it told me this was the correct answer
Answer:
5.5 and 6
Step-by-step explanation:
3. Jenny puts two wooden blocks together. One block has a length of 5 in., a width of 4 in., and a
height of 5 in. The other block has a height of 4 in., a length of 5 in., and a width of 2 in. What is the
combined volume of the blocks?
Answer:
140 inches cubed
Step-by-step explanation:
Use the formula V = length * width * height to find the volumes of each block, then add them together to get the combined volume. So, (5 * 4 * 5) + (4 * 5 * 2) = 140 inches cubed, which is the combined volume.
Hopefully this helps- let me know if you have any questions!
I don’t get it because I don’t have a calculator
Complete the table percent fraction and decimal
Answer:
140% - 7/5 - 1.4
4% - 1/25 - 0.04
56% - 2.8/5 - 0.56
95% - 19/20 - 0.95
Enter in the missing numbers to create equivalent ratios. NO LINKS pls.
Answer:
Step-by-step explanation:
Which of the following statements about area is not true?
A. Area is the total space within the outside edges of a two-dimensional object.
B. Area can be found by counting the number of unit squares that fill a space.
C. Area is the total distance around the outside of a shape.
D. Area is used to help describe the dimensions of a shape.
Answer:
C. Area is the total distance around the outside of a shape.
Step-by-step explanation:
Answer:
Area is the total distance around the outside of a shape, Would be correct.
Step-by-step explanation:
Help anyonee?? 100 points!!
Answer:
D
Step-by-step explanation:
[tex]4\sqrt{x2[/tex] means [tex](x^{2})^{\frac{1}{4} }[/tex] so then according to indices rule, the powers will be multiplied. Do the same thing for y and z as well, and you will get the answer
Solve for x. -14 - x = 14
Answer:
x= -28
Step-by-step explanation:
1. First you have to add 14 to both sides to get the x by itself. That's always the first thing you have to do. Get x by itself.
2. After that, you should have -x= 28. You can't leave it like that because it is still not simplified. It's basically saying 28 is the opposite of x. What's the opposite of positive? Negative.
3. Therefore, your final answer should be -28
Answer:
x = -28
Step-by-step explanation:
Hey! First, lets establish our equation :)
-14 -x = 14
Now, we are going to get our x alone on a single side, to do this, we are going to add 14 to both sides to be able to cut out -14 on the left side!
-14 -x = 14
+14 +14
-x = 28
The last thing we have to do is divide both sides by -1 to get x by itself without it being negative!
-x = 28
÷-1 ÷-1
x = -28
So, x, is equal to -28 (negative 28!) :)
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
What the value of q?
Answer:
50°
Step-by-step explanation:
because angles on straight line add up to 180°,
180-130=50 :)
Find the domain for each expression. (1/x)+5
1/x
X+5/x+5
X^2/x
7/(x-2)
Using it's concept, it is found that the domain for the expressions is, respectively, given by:
[tex]x \neq 0, x \neq 0, (-\infty, \infty), (-\infty, \infty), x \neq 2[/tex]
What is the domain of a function?It is the set that contains all possible input values.
In a fraction, the denominator cannot be zero, hence:
The domain of the first two expressions is of [tex]x \neq 0[/tex].The domain of the last expression is of [tex]x \neq 2[/tex].The third expression can be simplified, as:
(x + 5)/(x + 5) = 1.
The same is true for the fourth, as:
x²/x = 1.
Neither has any restriction, hence their domain is all real numbers, represented by [tex](-\infty, \infty)[/tex].
More can be learned about the domain of a function at https://brainly.com/question/25897115
Teddy has two sisters. One of them is 3 years older than Teddy, the other one is 7 years younger than her only brother. How old was the older sisters when the younger sister was born
Lets let Teddy be x.
Sister 1: x+3
Sister 2: x-7
If we subtract the younger sister (sister 2) from the older sister (sister 1), we get:
x+3 - (x-7) = x+3 - x + 7 = 10
The older sister was 10 years old when the younger sister was born.
Tim will buy a pair of shoes that cost $120.He received a 35% discount coupon. Luckily his friend Mario gets an additional 15% discount being an employee of the store. If Mario buys the shoes for Tim, how much will Mario pay if the tax is 8%? Round your answer to the nearest centavo
Answer:
$69.60
Step-by-step explanation:
Find the point P on the line y = 5x that is closest to the point (52,0)
Answer:
(2,10)
Step-by-step explanation:
Whenever you want to find the point that is closest, it will always be perpendicular to the line
This is because the perpendicular line is the shortest distance to a point (it will make 90 degrees with the line)
So
In order to find the slope of the perpendicular line, you take the slop and you do the negative reciprocal of it.
In this case:
the slope is 5
So:
the negative reciprocal is -1/5
Now we know the slope of the line that will be made by point P to intersect with y=5x
Then, you use the equation:
y=mx+b
and plug in the numbers that you know which is the y coordinate, x coordinate, and slope to find the y-intercept:
0 = -1/5(52) + b
b = 52/5
Finally, set the equations equal to each other to find the point that the perpendicular line intersects y=5x
5x = -1/5x + 52/5
x = 2
then to find the y coordinate you plug the x back into the equation:
y = 5(2)
y = 10
So the answer is (2,10)
Find the missing factor._____ x 5 = 3,000
A) 6
B) 60
C) 600
D) 6,000
Answer:
a = 600
Step-by-step explanation:
Algebraically:
[tex]a*5 = 3000\\a = \frac{3000}{5}\\ a = 600[/tex]
Find the measure of x
Answer:
x=23
Step-by-step explanation:
An inscribed angle is half of the intercepted arc.
Which of the following is NOT the same for both sets of data?
MEAN?
MEDIAN?
MODE?
RANGE?
Answer:
Mode
Step-by-step explanation:
As you can see, the mode on the first data set is 10, the mode on the other is 30.
Samantha is a waitress and earns a weekly paycheck of $350 plus any tips she earns thought out the week . One week . Samantha noticed she earned about $12 tips each hour . Let x represent the number of hours Samantha works during a week where her average hourly earnings is $22
Write a rational equation that models this situation
can you please help me
Answer:
42
Step-by-step explanation:
G-14
O-14
O-14
so 14•3=42
In the diagram below, what kind of line is BF relative to ABC?
Line BF is one of the three angle bisectors that meet at point F (incenter), hence, line BF as it relates to ABC is called the: interior angle bisector.
What is an Interior Angle Bisector?An interior angle bisector can be described as the line segment that divides an interior angle into two halves.
When the three interior angle bisector of a triangle meet at a point, the point is referred to a the incenter.
The diagram guven shows the incenter where the three interior angle bisectors meet.
Therefore, line BF as it relates to ABc is called the: interior angle bisector.
Learn more about the interior angle bisector on:
https://brainly.com/question/4421815
Joshua has a ladder that is 12 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground. For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe at this height? Show your work and draw a diagram to support your answer. ( Please Do Not Use Someone Else's Answer That's On Brainly Or Any Other Websites Please If So You'll Be Reported). Very Important.
Answer:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Step-by-step explanation:
The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.
Given :
Joshua has a ladder that is 12 ft long.
He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.
For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.
Check the angle that the ladder makes with the ground:
The ladder is safe when the angle the ladder makes with the ground to be no greater than 75° but is so, the ladder won't be safe.
To make the ladder safe, the height should not be 11.8ft.
The height from ground to top of the ladder is < 11.6 ft for safety reasons.
What is a number greater then 0.6 but less than 0.7
Answer:
0.65 is a number greater than 0.6 but less than 0.7
A dotted piece of cloth is 4 feet wide and 2 yards long. A plaid piece of cloth is 3 feet wide and 8 feet long. Show how to find the number of 1-foot squares in each cloth by drawing an array and using multiplication.
Answer:
Step-by-step explanation:
1. Change all the units to be the same. 1yd= 3 feet so 2yd x 3ft =6ft
new Dimensions 4x8 and 3x8
2. View images
Parallelogram P Q S R is shown. The length of P Q is (4 x minus 1) centimeters and the length of R S is (3 x + 7) centimeters.
The perimeter of parallelogram PQSR is 74 cm. What is QS?
4 cm
6 cm
8 cm
12 cm
The opposite sides PQ and RS of the parallelogram PQRS are congruent
The value of the length QS is 6 cm
How to determine the length QS?The given parameters are:
PQ = 4x - 1
RS = 3x + 7
Opposite sides are congruent.
So, we have:
4x - 1 = 3x + 7
Collect like terms
4x - 3x = 1 + 7
Evaluate the expressions
x = 8
The perimeter is calculated using:
Perimeter = 2(QS + RS)
This gives
2(QS + RS) = 74
Divide by 2
QS + RS = 37
Substiute RS = 3x + 7
QS + 3x + 7 = 37
Substitute 8 for x
QS + 3*8 + 7 = 37
This gives
QS + 31 = 37
Subtract 31 from both sides
QS = 6
Hence, the value of the length QS is 6 cm
Read more about parallelograms at:
https://brainly.com/question/2844650
Answer:
6cm or b
Step-by-step explanation: