Answers
Answer:
(AB) is longer than (AC)
Step-by-step explanation:
1. Approach
Use the distance formula to find the length of the segments (AC) and (AB); substitute their endpoints into the distance formula and simplifying to solve for the length. After finding the length of each segment, compare their lengths to find out which of the statements is true. The distance formula is as follows:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Where ([tex](x_1,y_1)[/tex]) and ([tex](x_2,y_2)[/tex]) are the endpoints of the segment.
2. Find the length of (AC)
Coordinates of point (A): [tex](-1,1)[/tex]
Coordinates of point (C): [tex](-4,4)[/tex]
Substitute these points into the distance formula,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D=\sqrt{((-1)-(-4))^2+((1)-(4))^2}[/tex]
Simplify,
[tex]D=\sqrt{((-1)-(-4))^2+((1)-(4))^2}[/tex]
[tex]D=\sqrt{(-1+4)^2+(1-4)^2}[/tex]
[tex]D=\sqrt{(3)^2+(-3)^2}[/tex]
[tex]D=\sqrt{9+9}[/tex]
[tex]D=\sqrt{18}[/tex]
3. Find the length of (AB)
Coordinates of point (A): [tex](-1,1)[/tex]
Coordinates of point (B): [tex](0,-4)[/tex]
Substitute these points into the distance formula,
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]D=\sqrt{((-1)-(0))^2+((1)-(-4))^2}[/tex]
Simplify,
[tex]D=\sqrt{((-1)-(0))^2+((1)-(-4))^2}[/tex]
[tex]D=\sqrt{(-1-0)^2+(1+4)^2}[/tex]
[tex]D=\sqrt{(-1)^2+(5)^2}[/tex]
[tex]D=\sqrt{1+25}[/tex]
[tex]D=\sqrt{26}[/tex]
4. Find the correct statement
(AB) is longer than (AC)
This statement is true for the following reason:
[tex]\sqrt{18}>\sqrt{26}[/tex]
Related Questions
Finding x- and y- intercepts
y = 5х – 6
Answers
Answer:
Below!
Step-by-step explanation:
X intercept
y = 5x - 6
0 = 5x - 6
-5x = -6
divide both sides by -5
x = 6/5 or 1.2
(1.2, 0)
Y intercept
y = 5x - 6
y = 5(0) - 6
y = -6
(0, -6)
Hope this helps! Best of luck <3
Enter the repeating digit.
Answers
Answer:
Does the answer help you?
Answer:
6
Step-by-step explanation:
Dividing 2 by 3 gives you a repeating decimal of 0.6666...
Please help 15 points! And brainlist! Hurry I need help right now!
Answers
Answer: quadrant 1
Step-by-step explanation:
the triangle will make 5 360° rotations and then one 180° rotation. we know this because 1980/360=5.5
-5r - 3r = ?
pls help!!!
Answers
Answer:
-8r
Step-by-step explanation:
subtract -3 from -5 to get -8. since both integers share a variable, the answer is just -8r
[tex]\\ \sf\longmapsto -5r-3r[/tex]
[tex]\\ \sf\longmapsto (-5-3)r[/tex]
[tex]\\ \sf\longmapsto (-8)r[/tex]
[tex]\\ \sf\longmapsto -8r[/tex]
Which is your required answer
find the 10th term and the sum of the first 10 terms in the series: 10, 8, 6, 4,....
Answers
Answer:
-8
Step-by-step explanation: As you go back 10 into the negetives and i saying neg 8 would be your answer
What is the solution to the inequality 21x - 12x _< 54
Answers
Answer:
if the inequality symbol is ≤ then the answer is x ≤ 6. If the inequality symbol is < then the answer is x < 6.
Step-by-step explanation:
Hope this helped
The path a character takes to navigate a level of a video game is given in the following graph.
Piecewise function with a linear function going from a closed point at negative 12 comma negative 6 to an open point at negative 6 comma negative 6 and another linear function from a closed point at negative 6 comma negative 4 up to the point 2 comma 4 and then horizontally to a closed point at 8 comma 4 and then another linear function from an open point at 8 comma 0 down to a closed point at 14 comma negative 3
What is the domain?
Answers
The domain is the set of x values that has a corresponding y-values in a function or a graph.
The domain of the graph is: [tex]-10 \le x \le 10[/tex]
From the graph (see attachment), we have the following observation
The value of x starts from -10 (represented by the horizontal line from (-10,4) to (-4,4))The value x ends at 10 (represented by the slant line on the first quadrant)These values can be represented as:
[tex]x_1= -10[/tex]
[tex]x_2 = 10[/tex]
So, the domain of x is: [tex]-10 \le x \le 10[/tex]
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Express 2.99 x 108 m/s (the speed of light) in decimal notation (i.e., express the number without using scientific notation).
options:
2,990,000,000
299,000,000
Answers
Answer:
Step-by-step explanation:
I think you mean 2.99×10^8, not 2.99×108.
2.99×10⁸ meters per second = 299,000,000 meters per second
You order CDs for $14.25 each and the website charges $4.50 for each shipment.
The expression $14.25p + $4.50 represents the cost of p CDs. Find the total cost for
ordering 4 CDs.
Answers
Answer:
$61.50
Step-by-step explanation:
14.25(4) + 4.50
= 57.00 + 4.50
= 61.50
8c + 2(6 - 3c) - 7
How do I simplify this pls help
Answers
Answer:
2c+5
Step-by-step explanation:
Answer:
7c
Step-by-step explanation:
You do PEMDAS.
6-3c is 3c.
so itd be 8c + 2(3c) - 7
then id multiply 3c with 2 so its be6c.
then id add 6c with 8c, and its be 14c. then i subtract it with 7 and get 7c.
Which of the following is a rational number?
square root 97square root 98, square root 99, square root 100
square root 97
square root 98
square root 99
square root 100
Part A: Find a rational number that is between 5.2 and 5.5. Explain why it is rational. (2 points)
Part B: Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth. (3 points)
Answers
Answer:
Square root of 100.
Step-by-step explanation:
Step-by-step explanation:
We can write 10 as a fraction 10/1, therefore,[tex]\sqrt{}[/tex]100 is a rational number.
Part A : A rational no. between 5.2 and 5.5 is 5.3.
It is rational because it can be expressed in the form
p/q where p and q are integers and q is not equal to 0, which is 53/10
Part B: A rational no. between 5.2 and 5.5 is 5.29150262213
An irrational number between 5.2 and 5.5 is 5.29150262213. It is irrational because there is no pattern that repeats and it cant be written as a fraction of two whole numbers.
Answer:
Step-by-step explanation:
Square root of all prime numbers is irrational.
97 is an prime number. So √97 is an irrational number.
√98 = [tex]\sqrt{2*7*7}=7\sqrt{2}[/tex] is an irrational number.
[tex]\sqrt{99}=\sqrt{3*3*11} =3\sqrt{11}[/tex] is an irrational number
√100 = 10 is a rational number.
Part A:
5.3 is a rational number.
Rational can be written in p/q form and when divided the result will either terminating decimal or non terminating repeating decimal
Part B:
5.3020050......
Irrational numbers are non terminating non repeating numbers
If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse?
PLEASE HELP
Answers
Answer:
[tex]4\sqrt{5}[/tex]
Step-by-step explanation:
In order to solve this problem, we can use the pythagorean theorem, which is
a^2 + b^2 = c^2, where and b are the legs of a right triangle and c is the hypotenuse. Since we are given the leg lengths, we can substitute them in. So, where a is we can put in a 4 and where b is we can put in an 8:
a^2 + b^2 = c^2
(4)^2 + (8)^2 = c^2
Now, we can simplify and solve for c:
16 + 64 = c^2
80 = c^2
c = [tex]\sqrt{80}[/tex]
Our answer is not in simplified radical form because the number under is divisible by a perfect square, 16. We can divide the inside, 80, by 16, and add a 4 on the outside, as it is the square root of 16:
c = [tex]4\sqrt{5}[/tex]
The length of the hypotenuse in the given right triangle, with legs measuring 4 and 8, is approximately 8.94.
To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the hypotenuse's length is equal to the sum of the squares of the lengths of the other two sides.
In this case, let's label the lengths of the legs as 'a' and 'b', with 'a' being 4 and 'b' being 8. The hypotenuse, which we need to find, can be represented as 'c'.
Applying the Pythagorean theorem, we have:
[tex]a^2 + b^2 = c^2[/tex]
Substituting the given values:
[tex]4^2 + 8^2 = c^2[/tex]
16 + 64 = [tex]c^2[/tex]
80 = [tex]c^2[/tex]
To find the length of the hypotenuse 'c', we need to take the square root of both sides:
√80 = √ [tex]c^2[/tex]
√80 = c
The square root of 80 is approximately 8.94.
Therefore, the length of the hypotenuse in the given right triangle, with legs measuring 4 and 8, is approximately 8.94.
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2. What is the area of rhombusABCD? (Assume the diagonals of rhombus ABCD are equal).
Answers
Answer:
A=pq/2
=4.25·4.25/2
=9.03125
Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer:
Step-by-step explanation:
Diagonal of rhombus bisect each other.
d₁ = AC = 4.25*2 = 8.5 cm
d₂ = 8.5 {Given diagonals are equal}
Area of rhombus = [tex]\frac{d_{1}*d_{2}}{2} \ where \ d_{1} \ and \ d_{2} \ are \ diagonals[/tex]
[tex]=\frac{8.5*8.5}{2}\\\\= \frac{72.25}{2}\\\\= 36.125 \ cm^{2}[/tex]
Which of the following could be trigonometric functions of the same angle?
Answers
Answer:
i think
third option is correct.
cosY = 8 / 17, cotY = 8 / 15, secY = 17 / 8 is the required trigonometric functions of the same angle. Option C is correct
What are trigonometric equations?These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.
Here,
cosY = 8 / 17, cotY = 8 / 15, secY = 17 / 8
Is the trigonometric function of the same angle,
cosY = 1 / SecY
8 / 17 = 1 / secY
secY = 17 / 8
Now,
P = √[17² - 8²]
P = 15
CotY = 8 / 15
Thus, trigonometric functions in option C are of the same angle.
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
A(1, 1), B(-3, 0), C(-4, -1), D(3, -2)
Answers
Answer:
is this geomtey
Step-by-step explanation:
Make sure to put what kind of maths (geometry algebra ect.) this is so others can meet your needs better. Also might want to put what unit or type of problem this is as well.
Need answer asap the topic is inverses and cxompositions in algebra 2
Answers
Answer:
2nd option
Step-by-step explanation:
To find g(f(x)) , substitute x = f(x) into g(x)
g(x + 3) = [tex]\sqrt{x+3}[/tex] + 7
Answer:
To find g(f(x)) , substitute x = f(x) into g(x)
g(x + 3) = \sqrt{x+3}
x+3
if 7 is subtracted from half of the square of natural number the result is 25.find the number..
Answers
16 power2 = 32
32 -7 = 25
________________________
Hope it is helpful!
In the following diagram, {HI}
start overline, H, I, end overline is parallel to {JK}
start overline, J, K, end overline.
What is the measure of
Angles are not necessarily drawn to scale.
Answers
Sum of interiors =exterior angle
[tex]\\ \sf\longmapsto <I=56+66[/tex]
Add both[tex]\\ \sf\longmapsto <I=122[/tex]
Now
[tex]\\ \sf\longmapsto I+x=180[/tex]
[tex]\\ \sf\longmapsto x+122=180[/tex]
[tex]\\ \sf\longmapsto x=180-122[/tex]
[tex]\\ \sf\longmapsto x=58[/tex]
The measure of x° is 58° .
What are corresponding angles?The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.
What is corresponding angles theorem?According to the corresponding angles theorem, the statement “If a line intersects two parallel lines, then the corresponding angles in the two intersection regions are congruent”
According to the question
In the triangle AHI
∠A = 66°
∠H = 56°
By using sum of angle of triangle = 180°
∠A + ∠H + ∠I = 180°
66° + 56° + ∠I = 180°
∠I = 180° - 122°
∠I = 58°
As , given HI is parallel to JK
Now,
According to the corresponding angles theorem
If a line intersects two parallel lines, then the corresponding angles in the two intersection regions are congruent .
Therefore,
∠I = ∠K = x°
i.e
x° = 58°
Hence, the measure of x° is 58° .
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I don't get it- can someone explain
Answers
Answer:
11 4-passenger cars
Step-by-step explanation:
let 'x' represent the number of 4-passenger cars,then 'x-3' represent the number of 6-passenger cars.
92=4x+6(x-3)
92=4x+6x-18
92=10x-18
92+18=10x
110=10x
x=110/10
x=11
Therefore there are 11 4-passenger cars
how do i solve 8/12 = 6/x
Answers
Answer:
x = 9
Step-by-step explanation:
8/12 = 6/x
We can use cross products
8*x = 12*6
8x = 72
Divide by 8
8x/8 = 72/8
x = 9
A baby can crawl ¾ foot in ¼ minute. How far does the baby get per minute?
Answers
Answer:
3 feet per minute
Step-by-step explanation:
Find how far the baby gets per minute by multiplying 3/4 by 4:
3/4(4)
= 3
So, the baby crawls 3 feet per minute
What would it be tho 300 doesn’t show up in my options my options are
1/49 -1/49 -49 and 49
Answers
Simplify the following expression: 5(3x) - 3(7x - 2)
�� 6x + 6 �� 36x + 6
�� 6 - 6x �� 6 - 36x
Answers
Answer:
The answer is in the screenshot -6x-6
Step-by-step explanation:
Simplify 4x (2x−y) − 3x (x-2y) −2x + 1 and find its value for = -1 and y = 2.
Answers
Answer:
Step-by-step explanation:
4x*(2x - y) - 3x(x - 2y) - 2x + 1
Use distributive property
= 4x*2x - 4x*y -3x *x - (-3x) * 2y - 2x +1
= 8x² - 4xy - 3x² + 6xy - 2x + 1
= 8x² - 3x² - 4xy + 6xy - 2x + 1
Combine like terms
= 5x² + 2xy - 2x + 1
Substitute x = -1 & y = 2
= 5(-1)² + 2*(-1)*2 - 2(-1) + 1
= 5*1 - 4 + 2 + 1
= 5 - 4 + 2 + 1
= 4
Solve: XC Divided XV. Show your answer as a Roman Numeral.
A. V
B. VI
C. VII
D. VIII
Answers
XC (90) divided by XV (fifteen) is VI (six). I hope this helped you!
Answer:
b
Step-by-step explanation:
smart yes
Find the measure of angle A.
Answers
probably i think it is 22.5°
……………….pls and thx——————-
Answers
Answer:
14 yards shorter
Step-by-step explanation:
Use Pythagoras' Theorem
a²+b²=c²
16²+63²=4225
√4225= 65yd
The diagonal line (c) is 65 yards long
16 + 63 = 79 yd
It would be 14 yards shorter (79-65)
if a person invests $290 at 6% percent annual interest, find the approximate value of the investment at the end of 15 years
Answers
$695.00 would be your answer :)
What is the image of the point (3, 2) after a rotation of 90° counterclockwise about the origin?
Answers
When the net is folded up, which sides will touch?
A. C and G
B. M and G
C. D and F
D. E and L
Answers
Answer:
The correct answer is
D) e and l
