Answer:
After solve the equations we get value of k=3
Step-by-step explanation:
We need to find value of k for which the lines x+2y=0, 3x-4y-10=0 and 5x+ky-7=0 are concurrent.
If the lines are concurrent, they pass through same point.
Let:
[tex]x+2y=0--eq(1)\\ 3x-4y-10=0--eq(2)\\ 5x+ky-7=0--eq(3)[/tex]
First solving equation 1 and 2 to find values of x and y
From eq(1) we find value of x and put it in eq(2)
[tex]From \ eq(1) x+2y=0\\x=-2y\\Put x=-2y \ in \ eq(2)\\3x-4y-10=0\\3(-2y)-4y-10=0 \\-6y-4y=10\\-10y=10\\y=\frac{10}{-10}\\y=-1[/tex]
After solving we get value of y=-1
Now putting in eq(1) to get value of x
[tex]x+2y=0\\x+2(-1)=0\\x-2=0\\x=2[/tex]
So, Value of x= 2
Now put value of x=2 and y=-1 into eq(3) to find value of k
[tex]5x+ky-7=0\\5(2)+k(-1)-7=0\\10-k-7=0\\-k+3=0\\-k=-3\\k=3[/tex]
So, After solve the equations we get value of k=3
Type ALL the steps of writing the equation of the line given the slope of the line is −4 and a point on the line is (−2,1).
Answer:
y = -4x - 7
Step-by-step explanation:
we use the slope intercept formula given by; y = mx + b
b = y intercept, which is when x = 0
m = slope
so they tell us the slope.. we just need to find b - the y intercept.
y = mx + b
plug in your coordinates (-2,1)
1 = -4(-2) + b
1 = 8 + b
1 - 8 = b
-7 = b
put it all together.
y = -4x - 7
The distance between P and T on the coordinate grid is ___ units. (Input whole numbers only.)
Answer:
[tex]5\ units[/tex]
Step-by-step explanation:
[tex]From\ the\ graph,\\Coordinates\ of\ Point\ P=x_1,y_1=-10,15\\Coordinates\ of\ Point\ T=x_2,y_2=15,15\\Hence,\\As\ we\ know\ that,\\Linear\ Distance(d)\ between\ any\ two\ points\ on\ the\ cartesian\ plane\\ is\ given\ by:\\d=\sqrt{(x_2-x_1)+(y_2-y_1)} \\Hence, here\\Distance\ between\ Points\ P\ and\ T=\sqrt{(15-(-10))+(15-15)\\[/tex]
[tex]Distance\ between\ Points\ P\ and\ T=\sqrt{(15+10)}\\Distance\ between\ Points\ P\ and\ T=\sqrt{25}\\ Hence,\\Distance\ between\ Points\ P\ and\ T=5\ units[/tex]
A video streaming company charges a yearly membership fee of $119. Some movies and episodes not included in the annual subscription cost $2.99 each to download. Write the equation to find the amount it will cost to download m movies in one year?
answer
the equation is $119 ÷ $2.99
at one high school, the mean time for running the 100-yard dash is 15.2 seconds with a standard deviation of 0.9 seconds. the times are very closely approximated by a normal curve. find the percent of times that are at least 14.3 seconds
Answer:
The percent of times that are at least 14.3 seconds is approximately 16%.
Step-by-step explanation:
Let X denote the time for running the 100-yard dash.
It is provided that the times are very closely approximated by a normal curve.
So, the random variable X follows a normal distribution with a mean time of 15.2 seconds and with a standard deviation of 0.9 seconds.
Compute the probability of times that are at least 14.3 seconds as follows:
[tex]P(X\geq 14.3)=P(\frac{X-\mu}{\sigma}\geq \frac{14.3-15.2}{0.9})[/tex]
[tex]=P(Z\geq -1)\\\\=1-P(Z<-1)\\\\=P(Z<-1)\\\\=0.15866\\\\\approx 0.159[/tex]
*Use a z-table.
Thus, the percent of times that are at least 14.3 seconds is approximately 16%.
Which set of ordered pairs
represents a function?
A. (5,-8),(8,-1),(8,7),(-4,2)
B. (-9,-9),(7,-9),(-7,-7),(9,-8)
C. (4,7),(-7,-4),(6,8),(-7,6)
D. (0,8),(-7,2),(4,-9),(4,-3)
Answer:
C. (4,7), (-7, -4), (6, 8), (-7, 6)
Step-by-step explanation:
There are no repeating numbers. For example, in answer A, 8 is repeated, (8, -1) and (8, 7)
Hope that helped! If you have any questions, just ask!
Name the subset(s) of real numbers to which each number belongs. Then order the numbers from least to greatest.
45−−√ , 16/5 , −1
Answer:
I'm assuming 45−−√ is [tex]\sqrt{45}[/tex], and that it belongs to the subset of irrational numbers.
16/5 is a rational number, and -1 is an integer.
All numbers belong to the subset of real numbers.
Step-by-step explanation:
Hope this helped!
What is the perimeter of this polygon?
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwYkZOdjFTNENGM2w5NTZIbzhybUFJSFlheFNqdmRHMm5BaFpQMUJONnRQcUJobDZYM3AxY29yRFVwWFJWeXc5cU5GQWhDajdDZGN3YUpSYVRmNV8wUzV2LVhSZy54azBYdVdxSDBkeHYxQ0Fs?w=400&h=400
a
24 units
b
22 units
c
28 units
d
26 units
Answer:
I am pretty sure it is
B. 22 units
Step-by-step explanation:
Answer:
24 units.
Count how many boxes make up the outside of the shape. Perimeter is just the distance around the shape.
Let me know of any other questions! :)
Melanie worked last weekend at her part-time jobs. She
earned $67.60. Place an X in the appropriate cell for
each row to indicate whether each situation represents
the additive inverse of how much Melanie earned last
weekend.
Additive Inverse
Not Additive
Inverse
finding $67.00
lo sin g $67.60
spending 567.60
recieving a gift of 67.00
Answer:
Step-by-step explanation:
HadsRIC
If a data set has mean of 150 and a standard deviation of 25, what is the z-score of an element with a value of 250?
Answer:
Z-score is 4
Step-by-step explanation:
N(150, 25^2)
Use z-score formula (can be found from internet with miu and sigma symbol)
[tex]z = \frac{250 - 150}{25} \\ z = \frac{100}{25} \\ z = 4[/tex]
5y + 3y + 5 ≤ ‐2(2y + 4)
Answer:
y≤−13/12
Step-by-step explanation:
Answer:
y ≤ -13/12 or y = (-oo, -13/12]Step-by-step explanation:
5y + 3y + 5 ≤ ‐2(2y + 4)8y + 5 ≤ - 4y - 88y + 4y ≤ -8 - 512y ≤ -13y ≤ -13/12ory = (-oo, -13/12]Surface area of 9cm, 10cm, and 15cm
Answer: The answer is 750 cm
write the equation of the like that is parallel to the line y=3x+6 and passes through the point (4,7)
Answer:Find the slope of the original line and use the point-slope formula
y
−
y
1
=
m
(
x
−
x
1
)
to find the line parallel to
y
=
3
x
+
6
.
y
=
3
x
−
5
Step-by-step explanation:
Bill and Ted are each saving money for a trip to Europe. Bill started with $75 and saves an additional $15 per week. Ted began with $120 and saves an additional $10 per week. After how many weeks, x, will they have the same amount of money saved? Explain how you arrived at your answer.
Answer:
9 weeksStep-by-step explanation:
After x weeks Bill will save money:
75 + 15xAnd Ted will save:
120 + 10xSince they save same amount, we have equation:
75 + 15x = 120 + 10x15x - 10x = 120 - 755x = 45x = 45/5x = 9 weeksWhich one A,B,C,D This times so I need a answer in a hurry
Answer:
um c? i think so, i dont rly know
Step-by-step explanation:
Is the graph below proportional? Explain.
500
400
300
Total cost ($)
200
100
0 2 4 6 8 10
Time (h)
Answer:
50/1
Step-by-step explanation:
x=1,2,3
y=50,100,150
y/x=50/1
A house increased in value by 36 percent since it was purchased. If thw current value is 306000 what was the value when it was purchased
Holly is making fruit salad. She bought 3 pounds and 3 ounces of fruit. How many ounces of fruit did she buy? *Needed ASAP
Answer:
Step-by-step explanation:
do 3 x 16 = 48 + 3 is 51
A recipe requires \frac{1}{3}
1
3
cup of milk for each \frac{1}{4}
1
4
cup of water. How many cups of water are needed for each cup of milk?
Answer:A
Step-by-step explanation:
A
A snail travels 10 cm in 4 minutes. At this rate, how far will the snail get in 10 minutes?
Answer:
25CM
Step-by-step explanation:
Answer:
25 cm
Step-by-step explanation:
10*2.5 is the method I used.
Need help will give brainleist
Answer:
41º
Step-by-step explanation:
Because of parallel lines, (2x-5)º=180º-113º, so (2x-5)º=67º.
(2x-5)º=67º2x-5=67º2xº=72ºx=36ºThe angle that says (2x)º will be (2[36])º=72º.
So the other angle will be 180-67-72=41º as the sum of a triangle's interior angles is 180º.
Answer:
41°
Step-by-step explanation:
The angle below (2x-5) is also 113° (which i hope you know why)
Then to find (2x-5)° you would subtract 180 - 113 to get the angle because both those angles would add up to 180° because it is a straight angle which gives you 67°
Then you need to find x by solving the equation 2x - 5 = 67 which would give you x = 36, so you would multiply that by 2 for the angle on the side which would be 72°
Then bc the angles on the inside of the triangle all add up to 180° as well, you would add 72 + 67 = 139, then do 180 - 139 giving you d° as 41°
Help plz it’s 50 points help
Answer:
Step-by-step explanation:
Answer:
frist answer is right
Step-by-step explanation:
9X3 + 9 X 2 -43 X - 35
hellllllllllllllllllllllllllp me plzzzzz
D. 7 miles
Step-by-step explanation:
26.5/4 =6.62
So the best estimate is 7 miles
how many solutions are there to the equation below
6x+30+4x=10(x+3)
a)0
b) infinitely many
c) one
Answer:
b) infinitely many
hope it helps
Please explain how to do it so I can learn it
If the coefficient of determination is 0.394, what percentage of the data about the regression line is unexplained
Answer:
The percentage [regression line is unexplained] = 60.6%
Step-by-step explanation:
Given:
Coefficient of determination = 0.394
Find:
The percentage [regression line is unexplained]
Computation:
Coefficient of determination = 0.394
Coefficient of determination = 39.4%
The percentage [regression line is unexplained] = 100% - Coefficient of determination
The percentage [regression line is unexplained] = 100% - 39.4%
The percentage [regression line is unexplained] = 60.6%
Deanna Jones opened a video rental store this year with 400 tapes. She plans to buy 150 new tapes each year from now on. Deanna expects to have 1300 tapes available during her fifth year in business. At her current purchasing rate, will she reach her goal? Explain.
A. No, she will have only 1150 tapes.
B. Yes, she will have exactly 1300 tapes.
C. Yes, she will have over 1300 tapes.
HURRY NEED SOON PLEASE
Stephanie put $300 into an account with 3% annual simple interest.
How long will it take for Stephanie to earn $90 in interest?
Answer:
Step-by-step explanation:
10 years
find slope and y intercept 3x + 2y = -9
Answer:
Slope: -3/2 Y-intercept: (0, -9/2)
Step-by-step explanation:
~ Hope this helps ~
The editors of a local
newspaper went to lunch to
celebrate birthdays. The
lunch costs $17.8.25 and they
left a 15% tip. What was the
cost of the meal?
Answer:
$111.52
Step-by-step explanation:
You have to divide your total amount by 1.15 and that will give you your answer. To check your work you can add your answer and 15% of your answer together. {111.52+(111.52x0.15)=128.25}
jill bought 14 feet of fabric. the fabric cost $3.25 a foot, including tax. what is the total cost of the fabric?
Answer:
$45.5
Step-by-step explanation:
3.25 times 14 is 45.5
Answer:
$47.74
Step-by-step explanation:
Sales tax rate: 5%;
Price without tax: $3.25 dollars;
Amount of sales tax ≈ $0.16 dollars;
Price with sales tax ≈ $3.41 dollars;
Detailed calculations below:Amount of sales tax =
Sales tax rate × Price without sales tax =
5% × 3.25 =
5/100 × 3.25 =
0.05 × 3.25 =
0.1625 ≈
0.16;
Price with sales tax =
Price without sales tax + Amount of sales tax =
3.25 + 0.1625 =
3.4125 ≈
3.41;
means that we need to do 3.41 times 14 there your answer