is tangent to circle A. Determine the length of 2.
Question 4 options:
1)
5
2)
8
3)
13
4)
12
Answer:
Not sure about the question but I believe you are looking for the length of AC.
Then the answer is choice 3) 13
Step-by-step explanation:
AC² = 5² + 12² = 25 + 144 = 169
AC =√169 = 13
The required length from the point outside the circle to the point on the circle i.e. CE is 8 and the length from the point outside the circle to the center is 13.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on coordinate plane and r is the radius of the circle.
Here,
C is the point outside the circle and tangent drawn to the circle from C to B of length 12, the radius of the circle is 5. Since the radius is always perpendicular to the circle's tangent,
So
ABC is right angle triangle
AB = 5 ; BC = 12
Now applying the Pythagorean theorem
AC² = AB² + BC²
AC = √(5² + 12²)
Ac = √(25+144)
AC = √169
AC = 13
Now,
AC = AE + EC
(AE = AB)
AC = AB + EC
13 = 5 + EC
EC = 8
Thus, the required length from the point outside the circle to the point on the circle i.e. CE is 8 and the length from the point outside the circle to the center is 13.
Learn more about circle here:
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What is the family of the equation y = 4 x ^ 2 − 1 ?
Answer:
Step-by-step explanation:
y = 4x^2 - 1
Is a Polynomial equation of degree 2.
Also called a quadratic equation.
How many degress is angle BHA?
Answer:
90°
Step-by-step explanation:
follow the tangent rule.
Find the measure of u given that pllq.
Angle u is 32°.
What are the properties of a line?A line can go on forever. The line continues forever in both directions. There are no endpoints on the lines. The following are the angles of lines: Equal angles are those that are vertically opposed, such as a = d and b = c. As an example, the angles a + b and a + c add up to 180 degrees. Angles that correspond to one other are equal, such as a = e, b = f, c = g, and d = h. A line is a geometric form with only one dimension. There is no thickness to the line; it merely has length. Lines that cross at an angle will do so only once.
Given that angle Y at the q line is 32°. Since line p and line q are parallel. From properties of a line. angle made by the same cross line with two parallel lines will be the same.
Therefore, Angle u will be the same as angle y which is 32°.
Learn more about the line here:
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Card
#3
Find the area of the shaded region
shape: triangle
2
6 cm
shapesquare
Area formula:
Note: Round to the Final Answer
nearest hundredth (include Units!)
Checked by Teacher
Answer:
19,27 cm^2
Step-by-step explanation:
area of triangle = (6 x 3)/ 2 = 9 cm^2
circle area : 3^2 x 3,14 = 28,27 cm^2
area of shaped region = 28,27 - 9 = 19,27 cm^2
3x+26+7x combine like terms
Answer: 10x+26
Step-by-step explanation:
Someone help please and make sure it’s right:)
Answer:
-9
Step-by-step explanation:
(x + 89)° + (x + 109)° = 180°
(interior angles on the same side of transversal)
(2x + 198)° = 180°
2x + 198 = 180
2x = 180 - 198
2x = - 18
x = - 18/2
x = - 9
20 Observa el trapecio isosceles PQRS en el plano cartesiano.
0
1
2
3
4
5
6
7
8
9
10
A. ¿Cuántas unidades mide el lado QR?
B. ¿Cuál es la distancia entre los puntos PyR?
Recuerda contestar todas las partes de la pregunta en el espacio provisto.
Answer:
The answer is below
Step-by-step explanation:
La distancia entre dos puntos A(x₁, y₁) y B(x₂, y₂) en el plano cartesiano se da como:
[tex]AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
El paralelogramo que se muestra en el diagrama tiene vértices en P (3, 6), Q (7, 6), R (9, 2) y S (1, 2)
a) La distancia entre Q y R viene dada por:
[tex]QR=\sqrt{(9-7)^2+(2-6)^2} =\sqrt{20}=2\sqrt{5} \ units[/tex]
b) La distancia entre P y R viene dada por:
[tex]QR=\sqrt{(9-3)^2+(2-6)^2} =\sqrt{52}=2\sqrt{13} \ units[/tex]
PLEASE HELP ME
For pic one, just tell me the letter (dont have to work anything out)
For help (pic) 2, the two missing reason options are:
4- A) given B)reflexive property of congruence C)Definition of a midpoint D)definition of equilateral
5- A) SAS B)ASA C)SSS D)AAS
Answer:
1. AAS 2. sorry
Step-by-step explanation:
1. Those angles that are marked are the same. The lengths of the lines too. And the angle H(both) are the same.
2. sorry (what are the choices?)
Two semicircles are attached to the sides of a rectangle as shown. What is the area of this figure?
Graph + > -1.
+
3
-5
+
4 5
-4
-3
-2
-1
0
1
2
Switch direction
Make circle open
You have the right idea but the endpoint is at the wrong location. Instead, the green dot should go at -1. The shading is to the right. We use a closed filled in circle here (instead of an open hole) to tell the reader "include the endpoint". So -1 is part of the solution set.
In short, the graph consists of a closed filled in circle at -1 with shading to the right. This visually describes all values that are larger than -1, or equal to -1.
Heidi makes stuffed toys. The initial cost for the raw material is $100 for 30 stuffed toys. Every stuffed toy she makes earns her $10. Which graph represents the profit made by Heidi for x number of stuffed toys sold?
A.
Here’s the answer :)
(Someone help please)
Put these numbers in order, from least to greatest.
3.5
-1
4.8
-1.5
-0.5
-4.2
0.5
-2.1
-3.5
Answer:
-4.2,-3.5,-2.1,-1.5,-1,-0.5,0.5,3.5,4.8
Answer:
0.5, 3.5, 4.8, -0.5, -1, -1.5, -2.1, -3.5, -4.2
Step-by-step explanation:
hope this helps :)
Select the correct answer from the drop-down menu. A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is . A. -3x + y = 3, B. 3x + y = 2 C. 2x + y = 3 D. 2x + y = 2
I been at this Problem For A while now And i just don't understand It
Answer:
it's february and august because you put the highest and lowest together
Solve the system by substitution. Show all of your work.
3x – 2y = -2
3x + y = 10
Answer:
x = 2 ; y= 4
Step-by-step explanation:
3x -2y = -2
y = -3x+10
3x + 6x -20 = -2
9x = 18
x = 2
y = -6 + 10
y = 4
Answer:
x = 2
y = 4
Steps:
given:
3x – 2y = -2
3x + y = 10
2y = 3x+2
y = (3x+2)/2
3x + y = 10
3x + (3x+2)/2 = 10
(6x+3x+2)/2 = 10
(9x + 2)/2 = 10
9x + 2 = 20
9x = 18
x = 2
y = 4
Solve for g.
g/4 > 12
A. 3 < g
B. g > 48
C. g > 8
D. 16 < g
Answer:
d i think
Step-by-step explanation:
Can someone please help me?
Answer:
sure ill help you
Step-by-step explanation:
What is an
equation of the line that passes through the points (-4,-4) and (4, 6)?
Answer:
Step-by-step explanation:
1.) Find the slope
[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-(-4)}{4-(-4)}= \frac{6+4}{4+4} = \frac{10}{8}=\frac{5}4}[/tex] = m2.) Use the slope-point form for a line
[tex]y-y_0=m(x-x_0)[/tex]
Pick any point (-4,-4) or (4,6) into [tex]y_0 and x_0\\[/tex]
but your equation is y= 5/4x+1
How do you factor a quadratic equation completely?
Answer:
A Method For Simple Cases
Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.
Step 2: Rewrite the middle with those numbers:
Step 3: Factor the first two and last two terms separately:
Step-by-step explanation:
A rectangle has a perimeter of 18. The height of the rectangle is 4 cm. What is the area of the rectangle?
Answer:
20
Step-by-step explanation:
Perimeter of rectangle= 2l+2h so 2l+2(4)=18. SO 2l=10. l=5
Area=bh
(5)(4)=20cm
The temperature at 6 a.m. was -12°F. At 11 a.m. the temperature was 0°F. Which of the following shows the temperature change from 6 a.m. to 11 a.m.?
Answer:7 - 9 = -2
Step-by-step explanation:
Please Help!!!!!! You have twice as many nickels as pennies. you have $1.10. how many of each coin do you have? Solve each problem using a system of equations.
What is the decimal equivalent of
−
5
6
?
−
1.2
− 1.2
−
0.8
¯
3
− 0.8 3 ¯
0.8
¯¯¯3
0.8 3 ¯ 0.8\3
1.2
Answer:
kwkwkjwsjsjsssjsj
Step-by-step explanation:
ksksossoslsksmssmmssmsk
solve for m
m - 6 = 11
Step-by-step explanation:
m=11+6=17
hope it helps....
Answer:
m = 17
Step-by-step explanation:
11 + 6 = 17
if m - 6 = 11, then m = 17
What is the answer? I'll give branliest
Answer:
a
Step-by-step explanation:
PLEASE HELP DUE AT MIDNIGHT!
Answer:
D or A i think
Step-by-step explanation:
pls mark brainliest
Answer:
B. Angle 2 and Angle 7 are alternate interior angles.
Step-by-step explanation:
Angle 2 and Angle 7 are actually alternate exterior angles. They are on opposite sides of the transversal and so the "alternate" part is correct, however, alternate interior angles are ones on the inside of the transversal, like angles 4 and 5.
The graph still have the same shade. What is the equation of the blue graph?
Answer:
G(x) = x²-2
I hope its right
What is the area of the following trapezoid? 14 mm 10 mm 28 mm 210 mm 2 280 mm 2 O 420 mm 2 O 140 mm 2
Answer:
210 mm2
Step-by-step explanation:
you add both the bases and then height ;)
Tell whether the lines through the given points are parallelperpendicular, or neither Line 1: (1, 0), (7, 4) Line 2: (7, 0) , (3, 6) The slope of line 1 is The slope of line 2 is
Answer:
The lines are perpendicularStep-by-step explanation:
We determine whether lines are parallel or perpendicular by getting their slopes
For line 1; (1, 0), (7, 4)
Slope m = 4-0/7-1
M1 = 4/6
M1 = 2/3
Hence the slope of M1 is 2/3
For Line 2; (7, 0) , (3, 6)
M2 = 6-0/3-7
M2 = 6/-4
M2 = -3/2
Take the product of the slopes
M1 * M2 = 2/3 * -3/2
M1M2 = -1
Since the product of their slope is -1, hence the lines are perpendicular