Answers
Answer:
x = 8√2
Step-by-step explanation:
use the pythagorean theorem with the 2 sides being the same
16^2 = x^2 + x^2
256 = 2x^2
Divide both sides by 2
128 = x^2
Take the square root of both sides
x = √128
x = √(64 * 2)
x = 8√2
Answer:
x= [tex]8\sqrt{2}[/tex] or 11.31
Step-by-step explanation:
You know that the shape is a square that is divided making 2 triangles. They are examples of 45-45-90 degree triangles. So with this information, you know that both lengths of the triangles are equal, with a hypotenuse of 16.
Side C= 16
Side A= Side B
45-45-90 Formula
Side C= [tex]a\sqrt{2}[/tex]
16= [tex]a\sqrt{2}[/tex]
[tex](16= a\sqrt{2})^{2}[/tex]
256=[tex]2a^{2}[/tex]
128=[tex]a^{2}[/tex]
[tex]\sqrt{128}[/tex]=a
a= [tex]8\sqrt{2}[/tex] or 11.31
Related Questions
Malachi is shopping for toothbrushes. He can buy a package of 2 for $3.48 or a package of 4 for $6.60. Which is a better buy?
Group of answer choices
The package of 4 is a better buy.
The package of 2 is a better buy.
They are the same.
Answers
there is a triangle angle 1 is 9x - 8, angle to x + 10, and angle 3x + 2
Answers
Answer:
See answer below
Step-by-step explanation:
Finding the measure of each angle.
The sum of the angles in a triangle = 180°
(9x - 8) + (x + 10) + (3x + 2) = 180°
13x + 4 = 180
13x = 180 - 4
13x = 176
x = 176/13
Angle 1 = 9x - 8 Angle 2 = x + 10 Angle 3 = 3x +2
= 9(176/13) - 8 = 176/13 + 10 = 3(176/13) + 2
≈ 113.8° ≈ 23.5° ≈ 42.6°
What is the value of C that will make the expression a perfect square trinomial? x2−10/3x+C
Answers
Answer:
C = 25/9
Step-by-step explanation:
Consider the perfect square trinomial ...
(x -a)² = x² -2ax +a²
The constant (a²) is the square of half the x-coefficient.
For your trinomial, the square of half the x-coefficient is ...
C = ((-10/3)(1/2))² = (5/3)² = 25/9
Graph the polygon and its image after a dilation centered at C(1,1)
with scale factor k=0.5
.
J(3,1), K(5,−3), L(5,5), M(3,7)
Answers
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
DIlations are defined by the follwing operation:
[tex]P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)][/tex] (1)
Where:
[tex]O(x,y)[/tex] - Center of dilation.[tex]k[/tex] - Dilation factor.[tex]P(x,y)[/tex] - Original point of the polygon.[tex]P'(x,y)[/tex] - Dilated point of the polygon.If we know that [tex]O(x,y) = (1,1)[/tex], [tex]k = 0.5[/tex], [tex]J(x,y) = (3,1)[/tex], [tex]K(x,y) = (5, -3)[/tex], [tex]L(x,y) = (5,5)[/tex] and [tex]M(x,y) = (3,7)[/tex], then the coordinates of the new polygon are:
[tex]J'(x,y) = (1,1) + 0.5\cdot [(3,1)-(1,1)][/tex]
[tex]J'(x,y) = (1,1)+0.5\cdot (2,0)[/tex]
[tex]J'(x,y) = (1,1) +(1,0)[/tex]
[tex]J'(x,y) = (2,1)[/tex]
[tex]K'(x,y) = (1,1) + 0.5\cdot [(5,-3)-(1,1)][/tex]
[tex]K'(x,y) = (1,1) +0.5\cdot (4,-4)[/tex]
[tex]K'(x,y) = (1,1) +(2,-2)[/tex]
[tex]K'(x,y) = (3,-1)[/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot [(5,5)-(1,1)][/tex]
[tex]L'(x,y) = (1,1) + 0.5\cdot (4,4)[/tex]
[tex]L'(x,y) = (1,1) + (2,2)[/tex]
[tex]L'(x,y) = (3,3)[/tex]
[tex]M'(x,y) = (1,1) + 0.5\cdot [(3,7)-(1,1)][/tex]
[tex]M'(x,y) = (1,1) +0.5\cdot (2,6)[/tex]
[tex]M'(x,y) = (1,1) +(1,3)[/tex]
[tex]M'(x,y) = (2,4)[/tex]
Now we proceed to present the graphs of the polygon and its image with the help of a graphing tool. The original polygon is highlighted in red and the image is highlighted in blue.
We kindly invite to check this question on dilations: https://brainly.com/question/13176891
Which is the equation of a line that is parallel to the line y= -1/3x + 1
A.y= -1/3x + 1
B.y= 3x - 2
C.y= -1/3x + 2
D.y= 1/3x + 1
Answers
This line has the same slope (-1/3), so it’s parallel to the line given. Option A is incorrect because it’s just the same line.
Mrs. Coulter has 3 / 5 yard of ribbon to tie on balloons for the festival. Each balloon will need 3 / 10 yard of ribbon. How many balloons can Mrs. Coulter tie with ribbon
Answers
Answer:
I know they are not the same name but they have the same question they are the same answerStep-by-step explanation:
#hope it helps you #happy learningPLEASE HELP MEEE
1st pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.
2nd pic. Referring to the figure, given ray BD bisects ∠ABC,
find the value of x.
Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠A.
Given ∠A and ∠B are supplementary. The measure
of ∠B is three times the measure of ∠A. Find m∠B.
Answers
Answer:
x1=15, x2=10, angle A=45, angle B=135
Step-by-step explanation:
1st pic: since ray BD bisects angle ABC, 2x=x+15, subtract x from both sides to get x=15
2nd pic: using the same logic as above, x=4x-30. add 30 and subtract x from both sides to get 3x=30, divide by 3 to get x=10
since angle A and angle B are supplementary, A+B=180, since B=3A, we have A+3A=180, or 4A=180. divide to get A=45. since B=3A, B=3*45=135
Answer:
Refer to the explanation for the answer!
Step-by-step explanation:
Hello! Here is what I've found:
<ABC and <DBC in the first picture are both 30 degrees.
<ABC and <DBC in the second picture are both 10 degrees.
For m<A: It would be <A = x and <B = 3x
For m<B: It would be <A = 3x and <B = x
very simple ill give brainlist
Answers
Answer:
100
Step-by-step explanation:
lxw=a
and 5x2+10, so basically just use the area formula with 10 as the values
Answer:
If each side of the square was doubled then you would have a square of 10 cm on each side
the answer is 100
Step-by-step explanation:
5 * 2 = 10
10 * 10 = 100
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answers
Answer:
letter D
thank me later....
b)
Solve the system by substitution.
2x – 6y = –24
x = 5y – 22
Answers
Answer:
Solution: 2x-6y divided by -24
2x=-24(-6y)
2x=6y-24
x=(6y-24) divided by 2
x=(6y-24)x 1/2
x=6y x 1/2 -24 x 1/2
x=3y-24x1/2
x=3y-12
–3x + 4y = 8
-4x + 3y=-6
are these Graphs perpendicular, parallel, or niether.
Answers
Answer:
Step-by-step explanation:
I need help i have no clue what to do!
Answers
Answer:
Step-by-step explanation:
-6x-2y= -26
3(-6x-2y)= -26*3
-18x-6y= -78
(subtract this from the first equation)
(-2x-6y)-(-18x-6y)= -14+78
16x=64
x=4
Now that we know x= 4 we can plug that into an equation and solve for y
-2(4)-6y= -14
-8-6y= -14
-6= -6y
y= 1
x=4
y= 1
(4,1)
Select Is a Function or Is not a Function to correctly classify each relation.
Is a Function Is not a Function
{(2, 2),(4, 4),(6, 6),(8, 8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
{(0, 3),(3, 5),(5, 6),(8, 4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
{(1, 2),(3, 3),(4, 8),(6, 3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
{(3, 4),(5, 2),(5, 6),(7, 3)}
Is a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
Is not a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
Answers
Answer:
1. Yes, is a function {(2, 2),(4, 4),(6, 6),(8, 8)}
2. Yes, is a function {(0, 3),(3, 5),(5, 6),(8, 4)}
3. Yes, is a function {(1, 2),(3, 3),(4, 8),(6, 3)}
4. No, not a function {(3, 4),(5, 2),(5, 6),(7, 3)}
Step-by-step explanation:
1. Since there is one value of y for every value of x in {(2, 2),(4, 4),(6, 6),(8, 8)} , this relation is a function.
2. Since there is one value of y for every value of x in {(0, 3),(3, 5),(5, 6),(8, 4)}, this relation is a function.
3. Since there is one value of y for every value of x in {(1, 2),(3, 3),(4, 8),(6, 3)}, this relation is a function.
4. Since x=5 produces y=2 and y=6, the relation {(3, 4),(5, 2),(5, 6),(7, 3)}, is not a function.
1 2 3 are true the last one is not there it is.
how do i know?
well i did the test my self.
just trust me.
What is the value of y?
09
O 18
O 3
Answers
Answer:
The answer is 9
Step-by-step explanation:
First looking at the triangle with the 90 degree sign in it we know that the other angles in that triangle will have to add with 90 to equal 180
So doing the easier way replace 9 with y and do this for the other numbers 3 and 18 to see if the result of (2y+18) and 4y will equal the same number
[tex](2(9)+18)=36 \\4(9)=36[/tex]
[tex](2(3)+18)=24 \\4(3)=12[/tex]
[tex](2(18)+18)=54 \\4(18)=72[/tex]
and because the lines on each triangle represent that those sides are congruent
I hope this because I am only using what I remember from geometry but please let me know if I am wrong
hey i need all three boxes solved please
giving 12 points
Answers
Answer:
it says 6 points not 12 points
Step-by-step explanation:
laura's family is going on a vacation. they will drive 4,180 miles over the next two weeks. about how many miles will they drive on average each week?
Answers
Answer:
l auras family will drive 2090 miles watch week because you decide by 2 because there are 2 weeks
One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.
Angle GAF = 105°. Work out the value of n.
Answers
Answer:
n = 8.
Step-by-step explanation:
The interior angle of a regular hexagon = 120 degrees.
So m < GAB = 360 - 120 - 105
= 135 degrees so the regular polygon has a total of 135n degrees.
Using the formula for the sum of interior angles of a polygon,
For the polygon with n sides:
Sum of interior angles = 180(n - 2)
135n = 180(n - 2)
135n = 180n - 360
45n = 360
n = 360/45 = 8.
In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV
Answers
Answer:
III
Step-by-step explanation:
go 14 left and 5 down, and you're in the third quadrant
Answer:
III (Third quadrant)
Step-by-step explanation:
Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant. Hope this helps! :)
pls help this is annoying me :) <3
Answers
Answer:
f(0) = 2, x = - 2, x = - 1
Step-by-step explanation:
f(0) means what is the value of y when x = 0
x = 0 is a point on the y- axis
Thus when x = 0 , y = 2 , that is
f(0) = 2
(b)
The roots are the values of x on the x- axis where the graph crosses
This occurs at x = - 2 and x = - 1 ← roots
Graph y=-6 please please please
Answers
Answer:
Step-by-step explanation: Y=6 is 36 if u subtract from 6 and add 20 plus 7
find equation of a line containing (3,-4) and having a slope of -2. if this line contains the points(a, 8) and (5,b) find a and b
i will give brainlest for the best answers with best explanation
Answers
Answer:
a = - 3, b = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (3, - 4 ) into the partial equation
- 4 = - 6 + c ⇒ c = - 4 + 6 = 2
y = - 2x + 2 ← equation of line
------------------------------------------------------------------
Substitute (a, 8 ) into the equation and solve for a
8 = - 2a + 2 ( subtract 2 from both sides )
6 = - 2a ( divide both sides by - 2 )
- 3 = a
Substitute (5, b ) into the equation and solve for b
b = - 2(5) + 2 = - 10 + 2 = - 8
During a closeout sale, some television models are discounted 40%. If a television is on sale for $1,485, what is the original price of the television to the nearest dollar?
Answers
Answer: it should be 70
Step-by-step explanation:
because the re adding of the dollars
1485 x 1.4 = 2079
maria has $100 dollars to spend. she wants to buy a sweater for $30 and a pair of jeans for $42. she would like to spend the rest of her money on t-shirts that cost $4 each. how many can she buy?
Answers
Answer:
7 T-Shirts
Step-by-step explanation:
Given:
100 Dollar
30 = sweater
42 = Jeans
4 each = t-shirts
Solution:
30+42 = 72
100-72 = 28
28/4=7
Therefore she can buy 7 T-Shirts.
Answer:
7 shirts
Step-by-step explanation:
100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)
28 (money) / 4 (shirt cost) = 7 (shirts)
Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.
$200 is shared between two friends Mary and John in the ratio 3 : 2 respectively. What is the result?
Answers
Answer:
John: $80
Mary: $120
Step 1: Add the ratios (3 and 2).
=> 3 + 2 = 5
Step 2: Divide 200 by 5.
=> 200 ÷ 5
= 40
Step 3: Multiply.
=> Mary total: 40 x 3 = $120
=> John total: 40 x 2 = $80
Hoped this helped
hi,please explain your answer
have a nice day
Answers
Answer:
What grade are you my brother is good at this stuff
PLEASE HELP ME INSTANTLY I WILL GIVE A BRAINLY AND A THANKS
Answers
Answer:
1.the first one is the distance from home
2. is 91
3.increases by 91 i belive tht should be correct
Step-by-step explanation:
If f(x)=6, what is x?
Answers
Answer:so: 6=6/5-x^3
6=6(5-x^3)
6=30-6x^3
-6x^3=6-30
-6x^3=-24
-6x^3+24=0
6x^3-24=0
6(x^3-4)=0
x^3-4=0
x^3=4
x=cube root 4
x=1.5874
Step-by-step explanation:
1) x + x + 8x + 12 =
Answers
x + x + 8x + 12 = ...
= 2x + 8x + 12
= 10x + 12
~aljabar
x + x + 8x + 12
= 1x + 1x + 8 + 12
= (1 + 1 + 8)x + 12
= 10x + 12 ✔️
:)
A beach ball has a radius of 3 inches calculate volume
Answers
Answer:
113.1 in.³
Step-by-step explanation:
V = (4/3)πr³
V = (4/3) × 3.14159 × (3 in.)³
V = 113.1 in.³
1. If you were to shade all the numbers that are divisible by 2 and by 3 in this multiplication table which rows would be completely shaded? Why?
Answers
Answer:
The ones that are divisible by 6
Step-by-step explanation:
If it is even, divisible by 2
If the sum of digits is divisble by 3, it would be divisible.
These examples are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96.
You are welcome,
Kayden Kohl
8th Grade