Answer:
[tex]JL=54[/tex]
Step-by-step explanation:
We are given that K is the midpoint of JL. Using this information, we want to find JL.
By the definition of midpoint, this means that:
[tex]JK=KL[/tex]
Substitute them for their equations:
[tex]8x+11=14x-1[/tex]
Solve for x. Subtract 8x from both sides:
[tex]11=6x-1[/tex]
Add 1 to both sides:
[tex]6x=12[/tex]
And divide both sides by 6. Hence:
[tex]x=2[/tex]
JL is the sum of JK and KL. Hence:
[tex]JK+KL=JL[/tex]
Since JK = KL, substitute either one for the other:
[tex]JK+(JK)=2JK=JL[/tex]
Substitute JK for its equation:
[tex]2(8x+11)=JL[/tex]
Since we know that x = 2:
[tex]2(8(2)+11)=2(16+11)=2(27)=54=JL[/tex]
Thus:
[tex]JL=54[/tex]
A television screen measures 35 cm wide and 26 cm high. What is the diagonal measure of the screen?
Answer:
43.6 (approximately)
Step-by-step explanation:
Diagonal measures of the screen is,
√(35²+26²)
= √(1901)
= 43.6 (approximately)
Answered by GAUTHMATH
We calculate the dioglonal using the Pythagorean theorem
[tex]\displaystyle\ C^2=A^2+B^2=> C=\sqrt{A^2+B^2} \ then \\\\C=\sqrt{26^2+35^2} =\sqrt{1225+676} =\sqrt{1901} \approx43.6\\\\Answer : the \:diagonal \:\:length is \:\underline{43.6}[/tex]
What's 70 x4 I just wanna see if it’s really going to help me
Step-by-step explanation:
70
*4
___
280.......ans
Find the quotient of 10/0
Answer:
The quotient is the answer to a division.
One of the properties of 0, is that 0 divided by any number is 0.
The exception is
0/0
which is undefined.
(the fact that 0 is being divided by a negative number makes no difference. There is no just thing as +0 or -0.)
Step-by-step explanation:
2/3(x+6)=-18 what is the value of X in the equation?
Answer:
x= -33
Step-by-step explanation:
expand the equation : 2/3x +4 =-18
Then simplify to 2/3x=-22
multiply both sides by 3/2x to get x=-33
Answer:
x = -33
Step-by-step explanation:
2/3(x+6) = -18
x + 6 = (3/2)(-18)
x + 6 = -27
x = -33
If a = 5, b = 4, and c = 7, find the value for 3(b + a) = c.
10
15
34
20
Answer:
20
Step-by-step explanation:
3 (b + a) = c
3 (4 + 5) = 7
12 + 15 = 7
27 = 7
27 - 7
20
[tex]\huge\boxed{ \sf{Answer}} [/tex]
Given,
[tex]a = 5 \\ b = 4 \\ c = 7[/tex]
And the equation we need to solve is,
[tex]3(b + a) = c[/tex]
To find the answer, you need to substitute the values of a, b & c in the equation.
[tex]3(b + a) = c \\ 3b + 3a = c \\ ( 3 \times 4) +( 3 \times 5) = 7 \\ 12 + 15 = 7 \\ 12 + 15 - 7 = 0 \\ = 27 - 7 \\ = 20[/tex]
↦ The answer is 20.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
According to the number line, what is the distance between points A and B?
0 6 units
7 units
O 12 units
O 14 units
Answer:
14 units
Step-by-step explanation:
A = - 2, B = 12
Therefore,
d(A, B) = 12 - (-2) = 12 + 2 = 14 units
PLEASE HELP!!! I dont understand :(
Hello,
In all reply x²'s coefficient is 1.
The polynom will be (x+i)(x-5)= x²+ix -5x-5i
Answer C
WILL GIVE BRAINLIEST
A graph has hours studied on the x-axis and test scores on the y-axis. Points are at (1, 3), (2, 6), (3, 5), (3, 8), (4, 5), (5, 8), (8, 9).
What statements describe this graph? Check all that apply.
The points are scattered.
The points are not connected.
The graph displays a discrete graph.
The graph displays the relationship of test scores to hours studied.
The graph represents the relationship between two sets of data.
Answer:
A,C,D.
Step-by-step explanation:
Answer:
Part A
Group A is a cluster of points with similar property or relationship.
Point B is an outlier. This is the point outside of the common relationship.
Part B
There is a negative tendency. As number of hours spent on computer games increase, the test scores decrease.
Step-by-step explanation:
so basically A, and B
Which of the following expressions are equivalent to (x+y)-(-z)
Choose all answers that apply:
A. (x+y)-z
B. x+(y+z)
C. none of the above
Answer:
B
Step-by-step explanation:
(x+y)-(-z)
=(x+y)-(-z)
=(x+y)+z
=x+(y+z)
Relationships between x and y
Answer:
so both tables are proportional
1. in the green table
y divided by x =
1/5 for each row
2. in the blue table
y divided by x =
2/5 for each row
Step-by-step explanation:
/ means divided by
divide y by x
for both tables
in each table
if y divided by x
show the same number
for every row
then its proportional
1. in the green table
y divided by x =
1/5 for each row
2. in the blue table
y divided by x =
2/5 for each row
so both tables are proportional
During his lunch hour, Matt asked 24 students how many after-school activities they participated in. This list shows the survey results.
Answer:
[tex]Ratio = 1 : 6[/tex]
Step-by-step explanation:
Given
[tex]n = 24[/tex]
Results:
[tex]1, 2, 0, 0, 3, 2, 4, 2, 1, 4, 3, 2[/tex]
[tex]1, 1, 2, 1, 0, 3, 3, 2, 4, 1, 1, 0[/tex]
Required
Ratio of students not participating to all students
Students not participating are represented with 0;
So, we have:
[tex]n(0)= 4[/tex]
The ratio is then calculated as:
[tex]Ratio = n(0) : n[/tex]
[tex]Ratio = 4 : 24[/tex]
Divide by 4
[tex]Ratio = 1 : 6[/tex]
Find the cost of 5 Kgs of apples using the data given in the graph.
Answer: 2.50 dollars
Explanation:
Locate 5 on the x axis, which corresponds to buying 5 kgs of apples.
Draw a vertical line through 5 on the x axis until you reach the blue line. Mark this as point P.
From point P, draw a horizontal line until you reach the y axis. You should arrive at y = 2.5
This tells us that buying x = 5 kgs of apples will cost a total of y = 2.50 dollars.
If xy = 6 and x = 2, then x + y =
Answer:
5
Step-by-step explanation:
xy= 6
x= 2
x + y = ?
Plug in x=2 in the first equation:
2y=6
y=3
then plug x=2 and y=3 into the one you're solving for:
2+3=5
Hope that helps!
Lily owed Megan $129.42. So far, she has paid Megan $32.56.
The remaining amount Lily has yet to pay Megan is $
Answer: $96.86
Step-by-step explanation:
Lily owed megan = $129.42
she has paid megan = $32.56
The remaining amount Lily has yet to pay Megan = $129.42 - $32.56 = $96.86.
Please mark me the brainliest
2x - y when x = 0 and y = -5
Answer:
5
Step-by-step explanation:
2x - y when x = 0 and y = -5
2(0) - (-5) =
= 0 + 5
= 5
Answer:
5
Step-by-step explanation:
2x-y
2(0)-(-5)
0-(-5)
0+5
5
11. What is the value of y when 10y-5=20
Answer:
y = 2.5
Step-by-step explanation:
Given
10y - 5 = 20 ( add 5 to both sides )
10y = 25 ( divide both sides by 10 )
y = 2.5
Answer:
5/2
Step-by-step explanation:
The given equation to us is ,
[tex]\implies 10y -5 = 20 [/tex]
Add 5 both sides ,
[tex]\implies 10y -5 +5 = 20 +5 \\[/tex]
[tex]\implies 10y = 25[/tex]
Divide both sides by 10 ,
[tex]\implies 10y \div 10 = 25\div 10 \\[/tex]
[tex]\implies \boxed{ y = \dfrac{5}{2}}[/tex]
given the following diagram, find the required measure.
Answer:
m<6=90
Step-by-step explanation:
the answer is 90 or D
Answer:
90
Step-by-step explanation:
If 1 = 140, then 2 = 40. 180-140=40
If 2 = 40 and 3 = 50, then 6 = 90. 180 - 40 - 50 = 90
Linear angles = 180
Triangle Sum Theorem = Sum of all angles in a triangle = 180
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
There is step to step calculation
Hope is helpful
Solve: 4(x + 3) ≤ 44
x ≥ 16
x ≤ 16
x ≤ 8
x ≥ 8
Please help
Answer:
C
Step-by-step explanation:
[tex]4(x + 3) \leqslant 44 \\ \\ 4x + 12 \leqslant 44 \\ 4x \leqslant 44 - 12 \\ 4x \leqslant 32 \\ 4x \div 4 \leqslant 32 \div 4 \\ x \leqslant 8[/tex]
please help!!!
Simplify
3+ 7 X 4
Answer:
31
Step-by-step explanation:
[tex]3+7[/tex] × 4 Multiply first
3 + 28 Then add
31
the volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool
Answer:
[tex]Height = x - 5[/tex] --- one of the dimension
Step-by-step explanation:
Given
[tex]Volume = 4x^3 - 20x^2 + 3x - 15[/tex]
Required
The side dimension
Factorize the given expression
[tex]Volume = 4x^2 (x- 5) + 3(x - 5)[/tex]
Factor out x - 5
[tex]Volume = (4x^2 + 3)(x - 5)[/tex]
Volume is the product of base area and height'
Hence:
[tex]Area = 4x^2 + 3[/tex]
[tex]Height = x - 5[/tex]
How would the expression x2 -9 be rewritten using Difference of Squares?
Answer:
(x + 3) (x - 3)
Step-by-step explanation:
[tex]a^{2} -b^2=(a+b)(a-b)[/tex] where a = x and b = 3
x^2 - 3^2 =
x^2 - 9 =
(x + 3)
(x - 3)
Answer:
Step-by-step explanation:
x²-9=x²-3²
find the value of x pls show work
Answer:
x = 55°
Step-by-step explanation:
120° = x° + 65° (alternate interior angles are congruent)
Subtract 65 from each side
120° - 65° = x° + 65° - 65°
55° = x
Therefore,
x = 55°
A. -1/4 + 2/3=
B. 1/2-3/5-1/2=
C. 3/4 of 2/9=
D. 2/5 of 7/12=
please help me
with explanation as well
Answer:
[tex]A) - \frac{1}{4} + \frac{2}{3} \\ \frac{ - 3 + 8}{12} \\ = \frac{5}{12} [/tex]
[tex]B) \frac{1}{2} - \frac{3}{5} - \frac{1}{2} \\ \frac{5 - 6 - 5}{10} \\ = \frac{ - 6}{10} [/tex]
[tex]C) \frac{3}{4} of \frac{2}{9} \\ \frac{3}{4} \times \frac{2}{9} \\ \frac{6}{36} = \frac{1}{6} [/tex]
[tex]D) \frac{2}{5} \times \frac{7}{12} \\ = \frac{14}{60} = \frac{7}{30} [/tex]
Determine if the conditional statement is true or false given the following: p is false. q is false. Is -q -p true or false?
Hello,
if p is false then ~p is true
if q is false then ~q is true
if ~p is true and ~q is true then ~q and ~p is true
Please help ASAP and please show work if possible.
Answer:
72° and 108°
Step-by-step explanation:
let one angle be x then the other angle is 1.5x
A linear pair sum to 180° , so
x + 1.5x = 180 , that is
2.5x = 180 ( divide both sides by 2.5 )
x = 72
1.5x = 1.5 × 72° = 108°
The two angles are 72° and 108°
Answer:
do you have wazapp I can send full pic of the answer here
Find the value of cos J rounded to the nearest hundredth, if necessary.
Answer:
cosJ ≈ 0.38
Step-by-step explanation:
This is a 5- 12- 13 right triangle
with HI = 12, HJ = 13, IJ = 5
cosJ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{IJ}{HJ}[/tex] = [tex]\frac{5}{13}[/tex] ≈ 0.38 ( to nearest hundredth )
The required value of Cos(J) for the given triangle is 0.38.
What is Pythagoras theorem?Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².
In the given ΔHIJ the sides are given as,
JH = 13 and HI = 12.
Now, apply Pythagoras theorem to obtain,
IJ² + HI² = JH²
⇒ IJ² = 13² - 12²
⇒ IJ = 5
Use trigonometric ratio to obtain,
Cos(J) = IJ/HI = 5/13 = 0.38
Hence, the value of Cos(J) is obtained as 0.38.
To know more about Pythagoras theorem click on,
https://brainly.com/question/343682
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What will you use if you are looking for the space bounded by a rectangle A. 2(I + w) B. S² C. B × h ________ 2 D. I × w
Answer:
A. 2(I + w)
Step-by-step explanation:
The space bounded by a rectangle is its perimeter. So, I would use 2(l + w) where l = length of rectangle and w = width of rectangle.
As an example, suppose we have a rectangle of length, l = 40 meters and width, w = 20 meters and seek to find its perimeter that is, the space bounded by the rectangle, we substitute the values of l and w into the equation for the perimeter.
So, P = 2(l + w)
substituting the values of l and w into the equation, we have
P = 2(l + w)
P = 2(40 m + 20 m)
P = 2(60 m)
P = 120 m
So the space bounded by the rectangle is 120 m.
So, to find the space bounded by a rectangle, we use 2(l + w).
So, the answer is A.
check all that apply. if cos0 = 13/5, then: ?
Answer:
D
Step-by-step explanation:
if cosec is 13/5 then sin is 5/13
Which of the following savings plans is modeled by the table of values
below?
.
Answer:
"D"
tart at $10 then 4 each day
Step-by-step explanation: