Answer:
Center (0, 1)
Radius 1
x-intercept (0, 0)
y-intercept (0, 0), (0, 2)
Step-by-step explanation:
(1) A circle that has center (a, b) and radius r can have the equation as below:
(x - a)^2 + (y - b)^2 = r^2
Re-write the original equation: x^2 + (y - 1)^2 = 1, we have:
(x - 0)^2 + (y - 1)^2 = 1^2
=> The center of this circle: (a, b) = (0, 1) and the radius r = 1
(2) To find out the x-intercept, we substitute y = 0 into original equation.
=> x^2 + (0 - 1)^2 = 1
=> x^2 + 1 = 1
=> x^2 = 0
=> x = 0
=> x-intercept (0, 0)
(3) To find out the y-intercept, we substitute x = 0 into original equation.
=> 0^2 + (y - 1)^2 = 1
=> (y - 1)^2 = 1
=> y - 1 = -1 or y - 1 = 1
=> y = 0 or y = 2
=> y-intercept (0, 0) and (0, 2)
Hope this helps!
How long will it take Jordon to drive 600 miles
if his average speed is 65 miles per hour?
t =600/65 per hour
How many hours
Answer:
about 9.23 miles or 9 miles
Step-by-step explanation:
you divide 600 by 65
Circle Y has a radius of 22 meters and Circle Z has a radius of 27 meters. Which of the following statements are true? Select all that apply.
o The circumference of Circle Y=44π m
o The circumference of Circle Z=27π m
o The circumference of Circle Y is approximately 32 m less than the circumference of Circle Z.
o The circumference of Circle Z is approximately 170 m.
o The circumference of Circle Z is approximately 32 m less than the circumference of Circle Y
Answer:
A
C
D
Step-by-step explanation:
Find the value of x.
with work plz
Answer: x = 117 degrees.
Step-by-step explanation: The sum of the interior angles of a pentagon should equal 540 degrees. The value of x has to make the total of the angles equal to 540. 140 + 138 + 59 +86 is 423. Now we need to subtract 423 from 540 to know the value of x since it has to all add up to 540. 540-423 is 117.
Answer:
117°
Step-by-step explanation:
sum of angles of a polygon=(n-2)*180
where n is the number of sides.
it has 5 sides.
x+86+140+138+59=(5-2)*180
x+423=3*180
x=540-423
x=117°
What is the length of RP?
Answer:
RP = 14
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(x+x+2) * (x+2) = (4+6)*4
Combine like terms
(2x+2)(x+2)=10*4
2(x+1)(x+2) = 40
Divide by 2
(x+1)(x+2) = 20
FOIL
x^2+2x+x+2 = 20
x^2 +3x+2 =20
Subtract 20
x^2 +3x-18 = 0
Factor
(x +9) (x-6) = 0
Using the zero product property
x+9=0 x-6 =0
x= -9 x=6
Since the length cannot be negative
x=6
RP = x+2+x = 6+2+6 = 14
In the diagram below, which distance represents the distance from point Dto
АВ?
A
C
D
B
ОА. АС
O B. BD
C. CD
D. AD
Answer:
C
Step-by-step explanation:
The distance from a point to a line is measured by the perpendicular distance from the point to the line.
CD is perpendicular to AB and represents the distance from D to AB
Answer:
Answer is CD , as C point lies on AB and is perpendicular to it
Find the value of x for which AE¯¯¯¯¯¯¯∥CD¯¯¯¯¯¯¯. answers: 43 31 47 121
Answer:
the answer is 31
Step-by-step explanation:
The measure of angle x is 31 degrees
Sum of angles of a quadrilateralFrom the given quadrilateral, the sum of the adjacent angles are equal. Hence;
59 + 31 = 47 + x + 12
90 = 59 + x
Make x the subject of formula
x = 90 - 59
x = 31 degrees
HEnce the measure of angle x is 31 degrees
Learn more angles here: https://brainly.com/question/26098895
11. Rocco and Biff are two koalas sitting at the
top of two eucalyptus trees, which are
located 10 m apart, as shown. Rocco's tree
is exactly half as tall as Biff's tree. From
Rocco's point of view, the angle separating
Biff and the base of his tree is 70°. How high off the ground is each koala?
Answer:
Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.
Step-by-step explanation:
Let the height of Biff's tree be represented by x, so that the height of Rocco's tree is [tex]\frac{x}{2}[/tex].
Draw a straight line from Rocco's point of view to a point t to the middle of Biff's tree. This line divides x into two equal parts, and the angle is divided into [tex]35^{0}[/tex] each.
By alternate angle property,
Tan [tex]35^{0}[/tex] = [tex]\frac{\frac{x}{2} }{10}[/tex]
[tex]\frac{x}{2}[/tex] = Tan [tex]35^{0}[/tex] × 10
= 7.00021
⇒ x = 2 × 7.0021
= 14. 0042
x = 14
Therefore, Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.
Answer:
Biff height = 9.48m
Rocco's height= 4.74m
Step-by-step explanation:
As Rocco's tree is half as tall as Biff's tree, draw a horizontal line from Rocco on Rocco's tree which intersects the Biff's tree at he middle.
The angle 70 degrees is divided by 2 because of the horizontal line.
An upper right angle triangle is form by Rocco (point A), Midpoint of Biff's tree(point B), and Biff (point C).
As
[tex]tan\theta = \frac{perpendicular}{base\\}[/tex]
where θ=35 and base= 10m
[tex]tan35=\frac{perpendical}{10}[/tex]
[tex](tan35)(10)=perpendicular\\perpendicular=4.74[/tex]
As the perpendicular found is that of a triangle formed from midpoint of Biff's, to find the total height, multiply the found perpendicular with 2.
Biff height = 4.74*2 = 9.48m
Rocco's height is half of biff height
Rocco's height= 9.48/2 = 4.74m
Chrissy says that all rectangles must have 2 pairs of equal angles.
Which statement best proves that Chrissy is correct?
A All rhombuses have 2 pairs of equal angles.
B All quadrilaterals have 2 pairs of equal angles.
C All parallelograms have 2 pairs of equal angles.
D All trapezoids have 2 pairs of equal angles.
Answer:
C
Step-by-step explanation:
2 pairs of parallel sides. Opposite sides and opposite angles are congruent.
Find the distance between the pair of points given on the graph.
Answer:
ITS 4 CM
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (1, 0) ← 2 points on the line
d = [tex]\sqrt{(1+2)^2+(0+4)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
Find the value of x in the given right triangle HELP IDK HOW TO DO THIS PLEASE
Answer:
x ≈ 5.63
Step-by-step explanation:
We use cos∅ for this problem (adjacent over hypotenuse)
Step 1: Write equation
cos62° = x/12
Step 2: Isolate x
12(cos62°) = x
x = 5.63366
And we have our final answer!
Answer: 5.6
Step-by-step explanation:
Hope this helps
Select the correct answer. What is the simplified form of this expression? (-x2 + x) + (4x2 − x − 1)
Answer:
[tex]3x^2-1[/tex]
Step-by-step explanation:
[tex](-x^2+x)+(4x^2-x-1)= \\\\-x^2+4x^2+x-x-1= \\\\3x^2-1[/tex]
Hope this helps!
Desiree wants to place a wire fence around the base of an apple tree... The tree has and mulch area around it, is shaped like a circle that has a radius of 14 inches... What length of fencing does Desiree need? ROUND TO THE NEAREST TENTH AND INCLUDE UNITS IN YOUR ANSWER
Answer:
( About ) 88 inches
Step-by-step explanation:
Considering this wire fence to be the circumference of the base of this apple tree, provided it is circular, let us solve for the amount of fencing given the radius of this circle is 14 inches;
[tex]Radius Of Circle - 14 inches,\\Diameter - 14 inches * 2 = 28 inches,\\Circumference - 2\pi r, r = radius,\\\\2\pi r - \pi d, d = diameter,\\\\Circumference Of Circle - \pi * ( 28 inches ) = ( About ) 88 inches\\Length Of Fencing = ( About ) 88 inches[/tex]
Length of Fencing rounded to 10th place, ( About ) 88 inches
The person is 64 in. tall and casts a 48 in. Shadow. The tree casts 81 in. Shadow. How tall is the tree?
Answer:
65 in. shadow.
Step-by-step explanation:
if someone is 64 in. and they cast a 48 in. shadow than their shadow is 16 in. smaller than they are. 81 in. - 16 in. = 65 in.
97 in. is the height of the tree
If you can help me with this scale problem that would be cool. No rush.
Answer:
4
Step-by-step explanation:
The answer is 4. When you divide each of the larger sides by the equivalent side of the smaller you get 4 every time.
Hope this helps! (Please consider giving brainliest)
Answer:
The scale factor is 4.
Step-by-step explanation:
If you divde a number from the large triangle to a number from a small triangle, you will get 4.
pls do this one i will mark u brainlist And its highest points u only have 20 minutes to do
Answer:
1. 320 2. 144 3. 330 4. 160 5. 336 6. 1440 7. 225 8. 2 9. 150
Step-by-step explanation:
to find the volume of a cube you do width*length*height.
write the equationof the line parallel to y=2x+3 and passing through the point (7,6)
Answer:
y= 2x +8
Step-by-step explanation:
y= 2x+3
gradient of given line = 2
(coefficient of x term when the coefficient of y is 1)
Parallel lines have the same gradient.
Hence gradient of the unknown line is 2.
y= 2x +c
To find the value of c, substitute a coordinate.
When x= 7, y=6,
6= 2(7) +c
6= 14 +c
c= 6-14
c= -8
Thus, the equation of the line is y= 2x +8.
Last Option Is 4/5. Please Help ASAP
Answer:
C: 3/5
Step-by-step explanation:
sin = opposite/hypotenuse
It's a 3-4-5 triangle... so then sin = 3/5
Rate and tell me if I'm right!! :)
betty started the summer with 8 hamsters. by september she had 18 hamsters, what is the percent change?
Answer:
The percentage changed is 44.444%
Step-by-step explanation:
8÷18×100
Answer:
125%
Step-by-step explanation:
The increase in the hamster count was 10. Thus, the percentage change (increase) is
10
-------- * 100% = 125%
8
Solve systems of equations for x + y, please!! -2x - 7y = -13 3x + 6y = 15
Answer:
-2x - 7y = -13. X intercepts = (13/2,0)
3x+6y=15. Y intercept = (0,13/7)
Step-by-step explanation:
-2x-7y=-13. To find x intercept substitute 0 for y and solve for x.
3x+6y=15. To find y intercept substitute 0 for x and solve for y.
Plot points on graph.
Travis is temporarily not working while his office is being remodeled. He
expects to be back at work in 2 months, but won't be able to afford his
mortgage payment until then. Which of the following is the best option for
him?
A. Forbearance agreement
B. Foreclosure
C. Moving to another state
D. Bankruptcy
Answer:
Correct answer is Forbearence agreement
Step-by-step explanation:
he was incorrect
I will give u 100 points and mark you as brainiest if you can answer this for me pls I need it I am in a quiz Order –17, –14, and 6 from greatest to least. –17, –14, 6 –14, 6, –17 6, –17, –14 6, –14, –17
Answer:
-17-17,-17,-17,-14,-14,-14,-14,6,6,6,6
Step-by-step explanation:
hope it helped.
5^7/5^3 in factored form
Answer:
5^4
Step-by-step explanation:
5^7/5^3
When we divided exponents with the same base
a^b / a^c = a^(b-c)
5^7/5^3 = 5^(7-3) = 5^4
Answer:
5⁴
Step-by-step explanation:
When dividing exponents with the same base, you subtract the exponents without changing the base.
[tex]\frac{5^7}{5^3} \\\\5^4[/tex]
Which systems of equations have infinite solutions?
Answer:
addition
Step-by-step explanation:
Sam and Bethan shar £54 in the ratio 5:4 work out how much each person gets
Which of the following is the correct graph of the linear equation below?
y+2-}(x-1)
Answer:
=y+3-x
Step-by-step explanation:
I recommend that you download the symbolab application, it is very good, it helps a lot
4. The circumference of a circle is 11 pi inches.What is the area, in square inches, of the circle? Express your answer in terms of pi (π). *
5. The diameter of a bike wheel is 27 inches. If the wheel makes 15 complete rotations, how far does the bike travel
The picture is for 5
Answer:
Area of circle = π ⋅ ( Diameter 2 ) 2 = π ⋅ ( 11 2 ) 2 ≈ 95 sq in
Step-by-step explanation:
Circumference=π⋅DiameterDiameter=Circumferenceπ=11ππ=11inches
given,2πr=11π⇒r=112.
Hope this helps.
Check
Sort the polynomials according to whether they are prime or non-prime.
6x3 - 5x2 + 2x-14
124 - 18x2 + 8x2 - 12
6x2 + 9x + 10x + 15
1272 - 3x + 4x +7
Answer: first, second and fourth are primes, the third is not-prime.
Step-by-step explanation:
A prime polynomial can not be reduced.
Let's see the options:
A) 6x^3 - 5x^2 + 2^x-14
You can see that we have a coefficient equal to 5 and other equal to 2.
As both are prime numbers, we can not reduce this, so this is a prime polynomial.
B) 12x^4 - 18x^2 + 8x^2 - 12 = 12x^4 -10*x^2 + 124
Both coefficients are even, so we can reduce it to:
12x4 -10*x^2 + 124 = 2*(6x^4 -5*x^2 + 72)
So this is not prime.
C) 6x^3 + 9x^2 + 10x + 15
we have that:
6 = 3*2
9 = 3*3
10 = 2*5
15 = 3*5
a polinomial is only reducible if all the coefficients share at least one prime factor, here we can see that this is not the case, so this is a prime polinomial.
D) 12x^2 -3x + 4x + 7 = 12x^2 + x + 7
Again, here we have that one coefficient is 1, the only factor of 1 is itself, so we can not reduce this polinomial, this is prime.
Answer:
answer shown in picture
Step-by-step explanation:
Find the area of the largest circle that can be inscribed inside a square whose diagonal is 5" ( with explanation )
Answer:
19.625
Step-by-step explanation:
If the square's diagonal is 5 and the circle is inscribed in it, that means that the radius is 2.5
2.5^2*3.14
=19.625
Round 189.939360828 to 4 decimal places.
Answer:
189.9394
Step-by-Step Explanation:
Round to the nearest 0.0001 or
the Ten Thousandths Place.
Which angle is congruent to ∠N
Answer:
X
Step-by-step explanation:
Because it was written in that order. Pls brainliest!!
Answer:
∠X because of corresponding parts of congruent triangles are congruent.
