The Equation of L1, is y=5x+1
The Equation of L2, is 2y-10x+3=0
Show that these two lines are parallel
Parallel lines are lines that have equal slope
It is true that the two lines are parallel
How to show that the lines are parallel
The equations of the two lines are given as:
y = 5x + 1 and 2y - 10x + 3 = 0
Both equations are linear equations, and a linear equation is represented as:
y = mx + b
Where m represents the slope.
For equation L1, the slope is:
m = 5
For equation L2, we have:
[tex]2y - 10x + 3 = 0[/tex]
Divide through by 2
[tex]y - 5x + 1.5 = 0[/tex]
Make y the subject
[tex]y = 5x - 1.5[/tex]
This means that the slope of equation L2 is also 5
When the slopes are equal, then the lines are parallel
Hence, the two lines are parallel
Read more about parallel lines at:
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1Given: 32, 18, 24, 17, 16, 32,
28, 68, 71 and 15, the mode of
the distribution is
A. 71
B. 56
C. 32
D. 15
Answer:
32, 32 is shown twice.
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Set of Data (Prioritized):
15, 16, 17, 18, 24, 28, 32, 32, 68, 71
To find the median:
Count how many times each number occurs. The number that occurs the most is the mode, and that number is 32.
Therefore, the mode is equal to 32.
Determine the solution set of (3x + 1)2 - 100 = 0. answer options are (3.-3) O (3.-11/3) O (-1V3.-3)
Answer:
Substituting the {3,-11/3} the equation is satisfied for the both values individually. Also it can be satisfied by solving the equation 3x2+2x-33=0 and giving the roots as x=3 and x=-11/3
Step-by-step explanation:
I think
2>-4 multiply both sides by -2
Answer:
-4 < 8
Step-by-step explanation:
2 x -2 = -4
-4 x -2 = 8
Hello.
Multiply both sides by -2:
2>-4
-4<8
Notes:
When we multiply or divide both sides by a negative number, we flip the inequality sign.If we multiply or divide a negative by a negative, we get a positive.I hope it helps.
Have an awesome day.
[tex]\boxed{imperturbability}[/tex]
Prepare an amortization schedule for a three-year loan of $57,000. The interest rate is 8 percent per year, and the loan calls for equal annual payments. How much interest is paid in the third year? How much total interest is paid over the life of the loan?
To repay this loan in three years we must make annual payments of $23,560.
How to calculate how much we should pay annually?To calculate the payments that we must make each year, taking into account the 8% interest, we must carry out the following operations:
$57,000 ÷ 3 = 19,000To calculate the interest equivalent to 8%:
$57,000 ÷ 100 = $570$570 × 8% = $4,560So, to calculate the total per year that we must pay, we must add both values:
$19,000 + $4,560 = $23,560Finally, to know how much we pay in total for the interest on the loan, we multiply the value of the interest by the years that the loan lasted:
$4,560 × 3 = $13,680
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A number is multiplied by 6 and that product is added to 2 the sum is equal to the product of 2 and 19 find the number.
Answer:
Lets call the missing number x
so
(6x = x + 2) = 2 * 19
(6x -x = 2) = 38
Just look at the picture please and thank you
Answer:
5/8 acre per each hour.
Step-by-step explanation:
What is the measure of Angle y in this figure?
Two intersection lines. All four angles formed by the intersecting lines are labeled. Clockwise, the angles are labeled 163 degrees, z degrees, y degrees, and x degrees.
Tip: Angles that are across from each other (vertical angles) are congruent.
163°
27°
37°
180°
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Here, in the given figure. Angle y° forms vertical opposite angle pair with Angle 163°, therefore they have equal values.
that means ~
[tex]\qquad \sf \dashrightarrow \: y \degree = 163 \degree[/tex]
Find a line that is perpendicular to y = 2/5x-1 that goes through (3,6)
Answer:
[tex]\sf y=-\frac{5}{2}x+\frac{27}{2}[/tex]
Step-by-step explanation:
given equation:
[tex]\sf y = \frac{2}{5} x -1[/tex]
using the formula: y = mx + b
Here, we can determine 2/5 is the slope
if perpendicular: -1/m → -1/2/5 → -5/2
using the formula:
[tex]\sf y - y1 = m ( x - x1)[/tex]
[tex]\sf y - 6 = -\frac{5}{2} ( x - 3 )[/tex]
[tex]\sf y - 6 = -\frac{5}{2} x - \frac{15}{2}[/tex]
[tex]\sf y = -\frac{5}{2} x + \frac{15}{2} +6[/tex]
[tex]\sf y=-\frac{5}{2}x+\frac{27}{2}[/tex]
If ABCD is dilated by a factor of 2, the
coordinate of D' would be:
5
4
3
С
2.
B.
-8
-7
-6
-5
-4
-3
-2
-1 0
1
2
3
4
5
6
7
8
9
10
11
-1
A
-2
D
-3
D' = ([?], [ ]
=
Enter
Answer: (6, -4)
Step-by-step explanation:
Assuming the dilation is centered at the origin, you can simply double the coordinates. This gives you [tex]D'(3 \times 2, -2 \times 2) = (6, -4)[/tex]
If f(x) = 2x^3 + 18x^2 + 56x + 40 and x + 1 is a factor of f(x), then find all of
the zeros of f(x) algebraically.
Answer:
-3, 0, 0.5, and 3
What is the perimeter of a square with a length of 57 meters?
Answer:
228
Step-by-step explanation:
All four sides of a square are equal.
57×4=228
Answer:
228
Step-by-step explanation:
took the quiz
Can the sides of a triangle have lengths 5, 1, and 1?
yes
OR
no
Answer:
No they cannnot
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
It probably can cause not ALL sides of triangles are equal to each other
what is the lateral surface area area of a cuboid
Answer:
Lateral surface area - The sum of surface areas of all sides except the top and bottom face of solid is defined as the lateral surface area of a solid. So the lateral surface area (L.S.A) of the cuboid is = 2(lh+bh)=2h(l+b)
Answer:
Lateral surface area of a cuboid = 2h(l + w)
where w = width, l = length and h = height
Step-by-step explanation:
Lateral Surface Area = Total Surface Area - Area of top and bottom faces
Let w = width
Let l = length
Let h = height
Lateral Surface Area = 2(lw + wh + lh) - (2 × l × w)
= 2lw + 2wh + 2lh - 2lw
= 2lh + 2wh
= 2h(l + w)
I need help on this math question
Answer:
0 is the answer
Step-by-step explanation:
0 the answer is 0
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Solution:
Rise and run stated in graph below.
To find the slope of the line, we need to use the formula "Rise/Run".
Looking at the graph, we can tell that
The rise is 3 unitsThe run is 12 unitsWhen rise/run used:
Rise/Run = 3/12 = 1/4Thus, the slope is 1/4.
The lowest level energy that an electron can have in the Bohr model of the Hydrogen atom is called the?
The lowest level energy that an electron can have in the Bohr model of hydrogen atom is called
Step-by-step explanation:
ground State
Toni's brownie recipe calls for 2 teaspoons of salt to 3 teaspoons of vanilla. How many teaspoons of salt does Toni need to every one teaspoon of vanilla?
Answer:
2/3
Step-by-step explanation:
Which expression is equivalent to 3(x + 6)?
Step-by-step explanation:
the answer is 3x+18. vb. bbb b
If a tractor trailer rig is driven 422.4 mi at 64 mi/ on interstate highways, how long does the trip take
Answer: 6.6 hours
Step-by-step explanation:
Time = Distance/Speed
Time = 422.4 miles/64 mi/h
Time = 6.6 h
Please look at photo :)
Answer:
it would be x-14
Step-by-step explanation:
This is translated to a algebra equation
I need with these problems
Answer:
1. [tex]\frac{5}{6}[/tex]
3. [tex]\frac{7}{0}[/tex] (undefined slope)
5. [tex]-\frac{7}{4}[/tex]
7. [tex]24[/tex]
Step-by-step explanation:
slope (m)
rate of change (r)
1. m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{8-3}{13-7} =\frac{5}{6}[/tex]
3. m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{4-(-3)}{9-9} =\frac{7}{0}[/tex] (undefined slope)
5. m = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{-1-6}{0-(-4)} =\frac{-7}{4}=-\frac{7}{4}[/tex]
7. r = [tex]\frac{f(b)-f(a)}{b-a}=\frac{24-0}{1-0}=\frac{24}{1}=24[/tex]
Hope this helps!
How many triangles can be formed with segments measuring 9.125 ft, 15.378 ft, and 24.503 ft?
none
one
more than one
Answer:
None Hope this helps :D
Step-by-step explanation:
Took the test
Answer:
none
Step-by-step explanation:
Marcella states that the product of 11.759.69 and 24.205 is approximately 290,000. Which
method should be used to check her answer
A. round the numbers to 11,000 and 20, then multiply
B. round the numbers to 12,000 and 20, then multiply
C. round the numbers to 11,000 and 24, then multiply
D. round the numbers to 12,000 and 24, then multiply
Answer: D.
Step-by-step explanation:
round the numbers to 12,000 and 24, then multiply
Question 7 options:
Given the following definitions:
U = {a, b, c, d, e, f, g}
A = {a, c, e, g}
B = {a, b, c, d}
Find A ∪ B
Step-by-step explanation:
(A u B ) = A union B = A + B
(A u B ) = ( a, b,c,d,e,g)
Plot and connect the points A(1,-5), B(-4,-3), C(3,-3), and find the area of the triangle it forms.
Answer:
7 square units
Step-by-step explanation:
Two of the points are on the horizontal line y = -3, so it is convenient to call that the "base" of the triangle. The length of the base is the difference in the x-coordinates of its end points:
b = 3 -(-4) = 7
The height is measured perpendicular to the base, so is the vertical distance from the line y=-3 to the third point. That distance is the difference between -3 and the y-coordinate of point A:
-3 -(-5) = 2
The triangle has a base of length 7 and a height of 2. Its area is ...
A = 1/2bh
A = 1/2(7)(2) = 7 . . . . square units
Following question answer
Answer:
P ( A ∩ B ) = 7
Step-by-step explanation:
→ State the formula
P ( A ∪ B ) = P ( A ) + P ( B ) - P ( A ∩ B )
→ Substitute in the numbers
23 = 13 + 17 - P ( A ∩ B )
→ Solve
P ( A ∩ B ) = 7
0.15(w+2)=0.3+0.2w I need help
Answer: w=0
Step-by-step explanation:
Step 1 Solve by distributing 0.15w+0.15\cdot2=0.3+0.2w
Simplify the arithmetic 0.15w+0.3=0.3+0.2w
Step 2 Subtract 0.2w from both sides 0.15w+0.3-0.2w=0.3+0.2~w-0.2w
Group like terms: 0.15w-0.2w+0.3=0.3+0.2w-0.2w Simplify the arithmetic -0.05w+0.3=0.3+0.2w-0.2w Group like terms -0.05w+0.3=0.2w-0.2w+0.3 Simplify the arithmetic -0.05w+0.3=0.3
Step 3 Subtract 0.3 from both sides -0.05w+0.3-0.3=0.3-0.3 Simplify the arithmetic -0.05w=0.3-0.3 Simplify the arithmetic -0.05w=0 Isolate the X
then equals w=0
Find the ordered pairS of
y = 4x + 3.
Answer:
*View the attached graph*
Step-by-step explanation:
Some ordered pairs of y = 4x + 3 are:
(0,3)
(-1,-1)
(-2,-5)
(1,7)
(-3,-9)
Hope this helps!
Determine the number of solutions of each system of equations.
-14x - 20y = 42
-14x - 20y = 42
A. Infinitely many solutions
B. There are two solutions
C. One solution
D. No solutions
PLEASE HELP ♡
Answer:
A. Infinitely many solutions
Step-by-step explanation:
You have written the same equation twice. Basically you have two variables, x and y, but only one condition binding them. As long as one changes you can determine the other.
