Answer: [tex]k=18\dfrac{8}{11}[/tex].
Step-by-step explanation:
If a line passing through two points, then
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN [tex]=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]
The endpoints of segment AB have coordinates [tex]\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)[/tex] and [tex]\left(-2\dfrac{1}{4} , k\right)[/tex].
[tex]A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)[/tex]
[tex]B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)[/tex].
Slope of AB [tex]=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}[/tex]
[tex]=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}[/tex]
[tex]=\dfrac{4k-9}{4}\times \dfrac{44}{-145}[/tex]
[tex]=4k-9\times \dfrac{11}{-145}[/tex]
[tex]=\dfrac{44k-99}{-145}[/tex]
Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1
[tex]\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1[/tex]
[tex]\dfrac{44k-99}{-725}=-1[/tex]
[tex]44k-99=725[/tex]
[tex]44k=725+99[/tex]
[tex]k=\dfrac{824}{44}[/tex]
[tex]k=\dfrac{206}{11}[/tex]
[tex]k=18\dfrac{8}{11}[/tex]
Therefore, the value of k is [tex]k=18\dfrac{8}{11}[/tex].
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5, (use the slope formula.)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
6) -4(3 + 5x) + 10(8x + 4)
Answer:60x+28
Step-by-step explanation:
12•_=4
What’s the answer?
Answer:
3
Step-by-step explanation:
In a study of 600 community college students, 200 of them indicated that they are part-time students. What percent of the students are part-time students?
1 1/3 divided by 3/5 and i wil name brainliest
Answer:
2 2/9
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
4/3÷3/5
Applying the fractions formula for division,
=4×5
3×3
=20/9
Simplifying 20/9, the answer is
=2 2/9
Answer:
[tex]\frac{20}{9}[/tex] or [tex]2\frac{2}{9}[/tex] or [tex]2\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3} = \frac{4}{3}[/tex] and [tex]\frac{3}{5}[/tex]
to
[tex]\frac{4}{3}[/tex] divided by [tex]\frac{3}{5}[/tex]
↑
flip the second number
[tex]\frac{4}{3}[/tex] divided by [tex]\frac{5}{3}[/tex]
but instead of divison it becomes multiplication,
[tex]\frac{4}{3}[/tex] × [tex]\frac{5}{3}[/tex]
=
[tex]\frac{20}{9}[/tex]
Mixed number form is:
[tex]2\frac{2}{9}[/tex]
or
Simplify:
[tex]2\frac{1}{3}[/tex]
Solve this equation for x: 3x - (5x - 9) - 7- 4(x + 1)
Step-by-step explanation:
this is your answer..........
How do you solve
60 = -12r
Answer:
- 5
Step-by-step explanation:
Step 1:
60 = - 12r
Step 2:
12r = -60
Step 3:
r = - 60 ÷ 12
Answer:
r = - 5
Hope This Helps :)
The perimeter of a square picture froame is 48 inches. One side length of the frame si 30.48 centimeters, how many centimeters are in an inch?
4
Step-by-step explanation:
Find the distance between the two points. (round to the nearest hundredths)
distance:
please bhelopppplp;pp[
Answer: The distance between them would be 4 and 5 because if you look at it the one is at -1 and the 5 is at the top you have to count how many spaces their are between them to see what your answer would be and so in this equation it would be 4 and
Step-by-step explanation:The distance between them would be 4 and 5 because if you look at it the one is at -1 and the 5 is at the top you have to count how many spaces their are between them to see what your answer would be and so in this equation it would be 4 and
Answer: (2.5,2)
Step-by-step explanation:
can someone solve 3(b+2)+2(b-3)=-5
Answer:
ofc I can.
Step-by-step explanation:
Solve for b.
By simplifying both sides of the equation, then isolating the variable.
Exact Form:
b= 27/2
Decimal Form:
b= 13.5
Mixed Number Form:
b= 13 1/2
Solve the system of inequalities: a) .4x−1≤0
2.3x≥4.6
Answer:
(a) [tex]x \leq 2.5[/tex]
(b) [tex]x \geq 2[/tex]
Step-by-step explanation:
Solving (a):
[tex]0.4x - 1 \leq 0[/tex]
Add 1 to both sides
[tex]0.4x - 1 + 1\leq 0 + 1[/tex]
[tex]0.4x \leq 1[/tex]
Solve for x
[tex]x \leq 1/0.4[/tex]
[tex]x \leq 2.5[/tex]
Solving (b):
[tex]2.3x \geq 4.6[/tex]
Solve for x
[tex]x \geq 4.6/2.3[/tex]
[tex]x \geq 2[/tex]
What’s the formula for motion?
HELP ME PLZ!!!! I'll do ANYTHING!!!
Answer: N = 11
Step-by-step explanation:
Add 8 on both sides
-10n = -110
divide -110 by -10
Answer:
n = 11
Step-by-step explanation:
-10n - 8 = -118
Add 8 to each side
-10n - 8+8 = -118+8
-10n = -110
Divide by -10
-10n/-10 = -110/-10
n = 11
what is 2 (x+2) + 3x =2 (x+1) + 1
Step-by-step explanation:
2x+4 +3x = 2x +2 +1
4+x= 2x+3
4-3=2x-x
1=x
x=1
simplify the expression by combining like terms; 4z+4-z+5
Answer:
3z+9
Step-by-step explanation:
=4z+4-z+5
=4z-z+4+5
=3z+9
What does 2 tenths look like?
Answer:
2/10 or 0.2
i dont know which tenths you wanted so i did both
Find the length of the missing side. Sorry, I’m just really bad with algebra!
{{3x + 6}/2- 4}/2 + 12/2=10
the solution for x is:
A). x = 4
B). x = -4
C). x = -2
D). x = 2
Answer:
The answer is D). x=2
Step-by-step explanation:
I am a multiple of 70. I am between 500 and 1000. My tens digit is odd. What number could I be?
Plz help also can you show the explanation too!
Answer:
Step-by-step explanation:
490 = 70 * 7
560 = 70 * 8
630 = 70 *9
700 = 70 * 10
770
840
910
You can fill in the other 3
So the number can be 630 770 or 910
Answer:
630, 770, 910
Step-by-step explanation:
They are multiples of 70 and the tens place number is odd 630, 770, 910
Sara has $1.30 less than double what Billy does. Sara has $53.72. How much money does Billy have?
Answer:
Billy has $27.51
Step-by-step explanation:
First let's set up an equation to solve this problem.
Assign a variable to Billy's amount. Let's make it x.
Then we just interpret the problem and solve:
2x - 1.30 = 53.72
+1.30 +1.30
----------------------------
2x = 55.02
(Divide by 2 on both sides)
----------------------------
x = $27.51
2x = Billy's amount doubled
2x - 1.30 = Taking away 1.30 from double Billy's amount
53.72 = Sara's amount
The width of a rectangle measures 9.7 X -4.7 centimetersAnd the length measures 2.9 X +6.4 cm which expression represents the perimeter in centimeters of the rectangle
Answer:
25.2X + 3.4 centimeters.
Step-by-step explanation:
The formula for the perimeter of a rectangle
= 2L + 2W
= 2(L + W)
From the question:
Width of a rectangle (W) = 9.7 X - 4.7 centimeters
Length of a rectangle (L) = 2.9 X + 6.4 centimeters
Imputing it into the formula
2(L + W)
2( 9.7X - 4.7 + 2.9X + 6.4)
2 (9.7X + 2.9X - 4.7 + 6.4)
2( 12.6X + 1.7)
= 25.2X + 3.4 centimeters.
Therefore, the perimeter of the rectangle = 25.2X + 3.4 centimeters.
!!30 POINTS!!
What is the intersection of planes ABG and BCD in the figure below?
Can someone help plz
Answer: x=-7
Step-by-step explanation:
1) The angles of a triangle are equal to 180
2) Add your angles together and set them equal to 180 like this:
x+59+x+51+84=180
3) Combine like terms:
2x+ 194 =180
4) Subtract 195 from both sides:
2x+ 194 =180
- 194 -194
2x = -14
5) Divide by 2 on both sides
2x= -14
/2 /2
x= -7
Antonela is planning on painting her room. A gallon of paint covers 110 square feet.
If Antonela's room is 10 feet by 8 feet and has an 8 foot ceiling, how many gallons
would she need to buy?
your cell phone plan cost $39.99 per month plus $0.13 for each text message you send or receive. you have a most $46 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?
Answer:
55.87
Step-by-step explanation:
Answer:
46 messages.
Step-by-step explanation:
The top got cut off a bit, it says "Make the same/similar inequality as the other problem:"
Alvin is 9 years older than Elga. The sum of their ages is 89. What is Elga's age?
Answer:
Alvin: 49
Elga: 40
Step-by-step explanation:
The equation is 89 = x + (x-9).Remove the parenthesis and combine the like terms. 89 = 2x - 9Add 9 on both sides. 98 = 2x Divide by 2 on both sides. x = 4949 is the age of Alvin. (49-9) 40 is the age of Elga.Hey there!☺
[tex]Answer:\boxed{40}[/tex]
[tex]Explanation:[/tex]
Elga's age can be represented as "x". If Elga is x years old, then Alvin's age would be represented as "x+9", since Alvin is 9 years older than Elga.
Their combined age is 89. If you were to write that as an equation in terms of "x", you would have the following equation.
[tex]x+x+9=89[/tex]
Since the question is asking for Elga's age, which is x, you're going to be solving the equation for the value of x.
First add like terms: [tex]x+x+9=89 \rightarrow 2x+9=89[/tex]
Subtract both sides by 9 to leave x alone: [tex]2x+9-9=89-9 \rightarrow 2x=80[/tex]
Divide both sides by 2 to find x: [tex]\frac{2x}{2} = \frac{80}{2} \rightarrow x=40[/tex]
Since x is equal to 40, Elga is 40 years old, and Alvin would be 49 years old.
You can also check if the answer is correct by adding their ages.
[tex]40+49=89\ \br \checkmark[/tex]
Elga is 40 years old.
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
First person to answer gets brainliest find the domain and range of the following absolute value functions. F(x)=|3x-4|
Domain:
( − ∞ , ∞ ) , { x | x ∈ R }
Range:
[ 0 , ∞ ) , { y |y ≥ 0 }
Which expression is equivalent to 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y)?
Answer:
2.0x-8.3y+2.3Step-by-step explanation:
Give the expression 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y), to get the equivalent expression we will follow thw steps;
open the parenthesis
3.7 x + 0.5-6y+0.8-1.7x+1-2.3y
collect like terms
= 3.7 x -1.7x -6y-2.3y+0.5+0.8+1
= 2.0x-8.3y+1.3+1
= 2.0x-8.3y+2.3
Hence the equivalent expression is 2.0x-8.3y+2.3
please answer only 17 and 18 asap
Answer:
17. -1 (y2-y1/x2-x1)
18. x/8= -6-4, x= -10*8 = -80
Write a fraction that is equal to 5
The fraction [tex]\dfrac{10}{2}[/tex] is equal to 5.
Important information:
The given number is 5.Fraction:The given number can be written as:
[tex]5=\dfrac{5}{1}[/tex]
Now, multiply the numerator and denominator by the same natural number which is greater than 1, to get a fraction.
Multiply the numerator and denominator by 2.
[tex]\dfrac{5\times 2}{1\times 2}=\dfrac{10}{2}[/tex]
Therefore, the fraction [tex]\dfrac{10}{2}[/tex] is equal to 5.
Find out more about 'Fraction' here:
https://brainly.com/question/363606
The fraction 5/1 is equal to 5, 25/5, and 30/6.
We have,
When we write a whole number as a fraction, we can express it by placing the number over the denominator of 1.
This is because any number divided by 1 is equal to itself.
In the case of the number 5,
We can write it as a fraction by placing it over 1:
5/1
This fraction represents the whole number 5, where the numerator (5) indicates the quantity or value, and the denominator (1) represents a single unit.
Or,
25/5 can also be written as 5// = 5
30/6 can also be written as 5/1 = 5
Thus,
The fraction 5/1 is equal to 5, 25/5, and 30/6.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ6
Please help with this math problem:)
Answer:
See SBS Explanation
Step-by-step explanation:
1. Produces a number that can be classified as an Irrational number.
A: Square root of 2.
2. Produces a number that an be classified as a Rational number.
A: Square root of 4.
3. Rational number that can be classified as an integer.
A: Negative 2/1 (-2/1)
4. Rational number that produces a repeating decimal.
A: 5/9 (Decimal is 0.5 repeating or 0.555....)
5. Rational number that produces a terminating decimal.
A: 1/4 (Decimal is 0.25)