Answer: 12%
Step-by-step explanation:
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)
Find the value of x. 4 х 25 10 X = = [?]
Answer:
X=10
Step-by-step explanation:
......................help
Answer:
its 2.4
Step-by-step explanation:
If x is to y as 4 is to 5, then what is y : x?
Answer:
4:5
Step-by-step explanation:
You are doing ratios
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
5x - 7
3x + 1
11x – 4
❤️13 each❤️✌pls and ty
Alice baked 88 cookies with 11 scoops of flour. With 12 scoops of flour, how many cookies
can Alice bake? Solve using unit rates.
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
Cuanto da la siguiente operación matemática : 5√225 ?
Answer:
75
Step-by-step explanation:
- 11 2/3 x (-4 1/5)=?
in the diagram below, de is parallel to xy. what is the value of y
three to the fifth power
answer please
Answer:
243
Step-by-step explanation:
Answer:
243
Step-by-step explanation:
Plz help me.............
2x - 2 = x-5
I’ll give 35 points plz help
Answer:
x = -3
Step-by-step explanation:
2x-x=-5+2
x = -3
The first three terms of a sequence are given. Round to the nearest thousand (if necessary). 9, 18, 36 Find the 6th term.
7 times m help helpp
PLEASE HELP ME I WILL MARK RBAINLIEST I SWEAR
Answer:
160=b
14
b: 2240
Answer:
b= 2240
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
then you simplify
hope this helps!
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
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)
A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?
Answer:
30 times
Step-by-step explanation
Answer:
30
Step-by-step explanation:
(Giving brainiest.) Explain why each statement might be true or might be untrue. Tell if each is an example of inductive or deductive reasoning? Justify your answers.
2. To get a high school diploma a student must have 24 credits. Cindy has 24 credits. Therefore, Cindy must have a high school diploma.
Answer:
Deductive because you would use multiple statements to draw a conclusion
can someone please help me!
Answer:
60
Step-by-step explanation:
solve the equation -30p-2=58 for p.
Answer:
p=-2
Step-by-step explanation:
1.Combine like terms on both sides.
2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.
3.Add 11 to both sides of the equation.
4.Finally, divide both sides by −10 to get the solution.
Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.
Answer:
Well to start you already know the sandwich cost 5.25 and the total sales tax .92.
To find the cost of each drink
5.25 x 2= 10.50
10.50+.92=11.42
17.00-11.42= 5.58
5.58/3= 1.86
So the cost per Drink is $1.86
Step-by-step explanation:
Hope this helped!
A square picture has a 3-in. frame around it. If the area of the frame alone is 96 in.2 , what is the area of the picture?
Answer:
[tex] {25in}^{2} [/tex]
Step-by-step explanation:
see attached image
Bruce flipped a penny 5 times. It landed on heads 2 times and tails 3 times. If he flips the coin a 6th time, what statement is true?
A. It is more likely to be heads.
BIt is equally likely to be heads or tails.
C. It is more likely to be tails.
D. It in not likely to be tails.
Answer:
B
Step-by-step explanation:
I would say B because they're only 2 options head and tails.
✩brainliest appreciated ✩
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:
What expressions are equivalent to 2 to the power of 6
A. 6x6x6x6x6x6
B.2x2x2x2x2x2
C.2x6
D.4x16
E.12x12
F.8x8
The expression are equivalent to 2 to the power of 6 is,
B. 2x2x2x2x2x2.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
We also know that a multiplied by a 'n' number of times can be written
as aⁿ.
Now, 2 to the power of 6 in exponent form is 2⁶ which states 2 is multiplied by 2, 6 times.
Therefore, From the given options the expression that is equivalent to
2⁶ is 2x2x2x2x2x2.
learn more about exponents here :
https://brainly.com/question/5497425
#SPJ2
The quantity inside a 3-dimensional space is called its
A.volume
B.heaviness
C.length
D.ratio
Answer:
volume
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
theres no weight refered, no length and ratio i dont know cause im not english but i think its A
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.