Answer:
median is 32 and the mean is 21
The straight line L1 passes through the points with coordinates (6, 5) and (10, 3)
The straight line L2 passes through the origin and has gradient -3
The lines L1 and L2 intersect at point P
Find the coordinates of P.
Answer:
The coordinates of point p are:
x = -3.2
y = 9.6
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:
a = (3 - 5)/(10 - 6) = -0.5
Then this line will be something like:
y = -0.5*x + b
To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:
x = 6
y = 5
Then we get:
5 = -0.5*6 + b
5 = -3 + b
5 + 3 = b
8 = b
Then the equation for line L1 is:
y = -0.5*x + 8
Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)
Then line L2 has a slope equal to -3
y = -3*x + b
And we know that this line passes through the origin, (0, 0)
Then if we replace the values of that point in our equation, we get:
0 = -3*0 + b
0 = b
Then line L2 is:
y = -3*x
Then our two lines are:
y = -0.5*x + 8
y = -3*x
Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:
-0.5*x + 8 = y = -3*x
-0.5*x + 8 = -3*x
now we can solve this for x.
-0.5*x + 8 = -3*x
8 = -3*x + 0.5*x
8 = -2.5*x
8/-2.5 = x = -3.2
Now we need to evaluate one of the lines on this value, i will use line L2
y = -3*(-3.2) = 9.6
Then we can conclude that the lines do intersect in the point:
x = -3.2
y = 9.6
this point is written as: (-3.2, 9.6)
Hi! need help asap xx
Answer:
C
Step-by-step explanation:
The 3 triangles are all similar.
Using the 2 inside then the ratios of corresponding sides are equal, that is
[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 → C
Answer:
C) x = 6
because this is a right triangle
=> we have:
(12² + x²)(3² + x²) = (15x)²
<=> 1296 + 153x² + x⁴ = 225x²
<=> x⁴ - 72x² + 1296 = 0
<=> (x² - 36)² = 0
<=> x² = 36
=> x = 6
Find the slope of the line that passes through K(-4,4), L(5,4)
Answer:
The slope is 0, or it is a zero slope.
Step-by-step explanation:
The y coordinate is 4 throughout, and if it were the x coordinate that stayed the same for both points, it would be a undefined slope.
1/4=something 8 plz help me
Answer:
1/4 = 0.25
Step-by-step explanation:
Answer:
2/8
Step-by-step explanation:
i don't know what to put here but 1/4 is = to 2/8
There are 16 boys, and 14 girls in Mr. Smith's homeroom. If two students are absent, what is
the probability that both absent students are boys?
Answer:
2/16
simplest form:1/8
Step-by-step explanation:
2/16
simplest form:1/8
There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator
2/16
Then simplify by dividing 2/2
1/8
what is 3/4b>15 solution
The solution set of the given inequality is {b| b > 20}.
How to solve the inequality?Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.
And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:
(4/3)*(3/4)*b > 15*(4/3)
b > 20
Then the solution set can be written as {b| b > 20}
That is the set of all values larger than 20.
Learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
- 28x + 18 = simplest form
Answer:
The answer is -2(14x - 9)
Step-by-step explanation:
Hoped this helped!
Sorry if this is wrong.
7 times m help helpp
Everything we see and touch is made of ______.
Answer:
chemicals
Step-by-step explanation: everything we see and touch is made up of a mixture of chemicals
three to the fifth power
answer please
Answer:
243
Step-by-step explanation:
Answer:
243
Step-by-step explanation:
Hey can anybody help with this question please
Determine whether the graph represents a function. Explain.
Answer:
it does not represent a function
Step-by-step explanation:
it is not liner
Answer:yes
Step-by-step explanation:
each x value has one y value
If angle 10 and angle 15 are congruent, which lines are parallel
Answer:
Line a is parallel with line b
Step-by-step explanation:
pls help me i need to write this for an exam
Describe how you determine the sign of the sum,difference,product,and quotient of two integer numbers
Answer:
i would ask someone else sorry
Step-by-step explanation:
You started the trail with 1400lbs. of food. You now have 1182lbs. of food. What percentage of your starting amount do you have left?
Answer:
84.5%
Step-by-step explanation:
1400 - 1182 = 218 You are less 218 lbs. of food.
218 ÷ 1400 = 15.5% You are less 15.5% lbs. of food.
100% - 15.5% = 84.5% You have 84.5% lbs if food left.
Cuanto da la siguiente operación matemática : 5√225 ?
Answer:
75
Step-by-step explanation:
- 11 2/3 x (-4 1/5)=?
In a fifth-grade class, 3/4 of the students like to go to the movies. Of the students who like to go to the movies, 2/3 of them like action movies. What fraction of the students in the class like to go to action movies
Answer:
1/2 of the class
give brainliest if it helps
Help guys I really need it
Answer:
yes it does
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2(2w+8)+2w=96 please help with steps
Answer:
w=[tex]\frac{40}{3}[/tex]
Step-by-step explanation:
2(2w+8)+2w=96
Distribute the 2.
4w+16+2w=96
Combine like terms.
6w+16=96
Subtract 16
6w=80
Divide 80 by 6.
w= 13.333333 or [tex]\frac{40}{3}[/tex]
3x + 7 + -X - 13
plz help
Answer:
3x+7-x-13
3x-6-x
=2x
pls mark brilliance if im right
Martha rented a sedan at a cost of $21.25 a day for three days. She drove 980 miles at 25 cents a mile. Gas cost $63.45 what was the cost per mile
Answer:
38 cents per mile
Step-by-step explanation:
Let us first calculate the total expenditure by Martha
= 21.25*3= $ 63.75
Cost of gas =$ 63.45
Therefore cost per mile = 127.2/980= 0.1297+0.25= $0.3797 or 38 cents per mile
The ratio of Ali's to Beth's score is 5:3. Ali
scored 10 more marks than Beth. Clare scored
7 more than Ali. Find the score of all three.
Answer:
Ali 25
Beth 15
Clare 32
Step-by-step explanation:
Here, we want to get the score of the three
let Ali’s score be x
He scored 10
more than Beth; Beth score will be x-10
Let us now work with the ratio
x/x-10 = 5/3
3x = 5(x-10)
3x = 5x - 50
5x-3x = 50
2x = 50
x =
50/2
x = 25
Beth will
score 25-10 = 15
score had 7 more than Ali,
25 + 7 = 32
Pls help find x in both
Answer:
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]
Cross multiply,
7*(x + 8) = 6*(3x -9 )
7x + 7*8 = 6*3x - 6*9
7x + 56 = 18x - 54
56 = 18x - 7x -54
56 = 11x - 54
11x - 54 = 56
11x = 56 +54
11x = 110
x = 110 /11
x = 10
PR = 3x -9
= 30 - 9
PR = 21
Find the y-intercept of the line on the graph.
Enter the correct answer
HELP PLEASE!!! i’ll give brianliest
Answer:
(0,4)
Step-by-step explanation:The y intercept is where the line passes through the y-axis.
Layla was out at a restaurant for dinner when the bill came. Her dinner came to $9. After adding in a tip, Before tax, she paid $10.80. Find the percent tip.
Answer: 12%
Step-by-step explanation:
There of the ABCD are given. fine the coordinates of point D. A(3, 6) B(6,3) D(x, y)
Answer:
A. (3,2) . I recommend using desmos to find the coordinates
9514 1404 393
Answer:
A. (3, 2)
Step-by-step explanation:
The midpoints of the diagonals are the same point, so you have ...
X = (A +C)/2 = (B +D)/2
A +C = B +D . . . . . . . multiply by 2
A +C -B = D . . . . . . . subtract B
The coordinates of D are ...
D = (3, 6) +(6, 3) -(6, 7) = (3+6-6, 6+3-7)
D = (3, 2)
What is the solution to the following system of equations:
7x+2y=24
8x+2y=30
Answer:
(6,-9)
Step-by-step explanation:
Answer:
x=6 y=-9
Step-by-step explanation:
Expand and simplify
(x – 3)(2x - 2)
Answer:
2x^2 - 8x + 6
Step-by-step explanation:
2x*x+(-3x*2x)+(x*(-2))+6=
2x^2-8x+6
2x - 2 = x-5
I’ll give 35 points plz help
Answer:
x = -3
Step-by-step explanation:
2x-x=-5+2
x = -3