3x-y=2 and 12x-4y=4 parellel or perpendicular line
Answers
Answer:
They are parallel line.
Related Questions
Solve for x and show work. Round to the tenths place.
Answers
What is the area of the shaded region?
6 mm
21 mm2
24 mm
42 mm
48 mm2
4 mm
3 mm
2 mm
5 mm
Answers
Answer:
The area of the shaded region is, [tex]24mm^{2}[/tex]
Step-by-step explanation:
First we have to calculate the area of ΔABC and ΔXYZ.
Area of ΔABC = [tex]\frac{1}2}[/tex]×[tex]Base[/tex]×[tex]Height[/tex]
Area of ΔABC = [tex]\frac{1}{2}[/tex]×[tex]5mm[/tex]×[tex]12mm[/tex]
Area of ΔABC =[tex]30mm^{2}[/tex]
and,
Area of ΔXYZ = [tex]\frac{1}{2}[/tex]×[tex]Base[/tex]×[tex]Height[/tex]
Area of ΔXYZ = [tex]\frac{1}{2} X3mmX4mm[/tex]
Area of ΔXYZ = [tex]6mm^{2}[/tex]
Now we have to calculate the area of the shaded region.
Area of the shaded region = Area of ΔABC - Area of ΔXYZ
Area of the shaded region = [tex]30mm^{2} - 6mm^{2}[/tex]
Area of the shaded region = [tex]24mm^{2}[/tex]
Therefore, the area of the shaded region is, [tex]24mm^{2}[/tex]
You just bought a new tablet computer for $500, including tax. There are no required payments for six months, but the company does charge 30% annual interest, compounded monthly, on any unpaid balance.
what is the effective annual rate of interest if you do not make any payments for a year?
Answers
The effective annual rate of interest if you do not make any payments for a year is 35%.
What is compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
where -
[A] = final amount
[P] = initial principal balance
[r] = interest rate
[n] = number of times interest applied per time period
[t] = number of time periods elapse
Given is that You just bought a new tablet computer for $500, including tax. There are no required payments for six months, but the company does charge 30% annual interest, compounded monthly, on any unpaid balance.
We can write -
A = 500(1 + 0.3/12)¹²⁽¹⁾
A = 500(1 + 0.025)¹²
A = 500 x (1.025)¹²
A = 675
Effective annual interest rate for a year is as follows -
A = 500(1 + r/1)⁽¹⁾⁽¹⁾
675 = 500(1 + r)
1 + r = 675/500
1 + r = 1.35
r = 0.35
r = 35%
Therefore, the effective annual rate of interest if you do not make any payments for a year is 35%.
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Allison is comparing prices of different cell phones. She made a dot plot to show the prices. How can she find the most common price?
Answers
Answer:
The answer is "Find the tallest stack of dots".
Step-by-step explanation:
In this question, we assume that the prices of the plot area on the X (horizontal), and the Y (Vertical) axis are on the cell phone. This price is 90 dollars. Whenever the price is X1, she sets a dot there. When brand X2 is that price also, it places a coordinate point ($90, X2) well above point on either brand at the same price. Therefore, the bigger pile of teams overall that the rates are more mobile phones.
Four thousand two hundred carnations were reserved for use on thge float. If this was 7/10 of the flowers needed, how many glowers would be on the float
Answers
The flowers on the float would be 6.000 flowers. The result is obtained by using fraction multiplication.
How to count a set of objects using fractions?Fraction represents the part of a set of objects. It has two parts separated by a dividing line, namely numerator at the top and denominator at the bottom.
For example:
1/4 (one-fourth)2/5 (two-fifth)It means one of four parts and two of five parts.
We have four thousand two hundred carnations on the float. It was 7/10 of flowers needed. Find the whole flowers on the float!
The carnations of a set of flowers is 7/10. It is 4200 carnations.
The carnations part is 7 and the whole part of flowers is 10.
Using fraction, the whole flowers would be
= 10/7 × 4200
= 6.000 flowers
Hence, the number of flowers needed to be on the float is 6.000 flowers.
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Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of % in hr
Answers
The expression when Buffalo New York had 2ft of snow on the ground before a snowstorm is 2 - 0.25h.
How to illustrate the expression?From the information, Buffalo New York had 2ft of snow and we want to find the. expression based on the information given.
An expression have at least two terms which have to be related by through an operator.
Since Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of 25% in every hr. The expression will be:
2 - (25% × h)
= 2 - 0.25h
h = number of hours.
The expression is 2 - 0.25h.
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Complete question
Buffalo New York had 2ft of snow on the ground before a snowstorm during the storm snow fell at an average rate of 25% in every hr. Illustrate the expression
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x+7 x+5
Answers
Given:
Consider the sides of the rectangle are (x+7) and (x+5) units.
To find:
The area of the entire rectangle in standard form.
Solution:
The area of the rectangle is:
[tex]A=l\times w[/tex]
Where, l is length and w is width of the rectangle.
So, the area of the given rectangle is:
[tex]A=(x+7)\times (x+5)[/tex]
[tex]A=(x)(x)+(x)(5)+(7)(x)+(7)(5)[/tex]
[tex]A=x^2+5x+7x+35[/tex]
[tex]A=x^2+12x+35[/tex]
Therefore, the area of the rectangle is [tex]A=x^2+12x+35[/tex].
Jane spent $40 on flowers. Each small flower cost $2, and each large flower cost $3. Write an equation that describes the relationship between cost and number of flowers purchased, where X is the number of small flowers and Y is the number of large flowers.
Answers
Answer:
Step-by-step explanation:
he small ones cost $2 and the bigger ones cost $3. So to get the answer you will need to multiply the number of flowers with the cost. In this case 2 times x and 3 times y. x represents the small flowers and y represents the big flowers.
Answer:
2x + 3y = 40
Step-by-step explanation:
Given the figure below, find BD.
А
B
8
6
X + 3
2x
D
Answers
Please help, it's much appreciated! <3333 It's midterms studying. 20 points!
A manufacturer makes trusses, or triangular supports, for the roofs of houses. Each truss is the shape of an isosceles triangle in which the sides are congruent. The length of the base is 4/3 the length of the congruent sides.
The perimeter of each truss is 60ft. Find each side length
Answers
Answer: The length of each side of the triangle is;
Equal sides, x = 21.02 = PQ = PR
QR = 28.03
Step-by-step explanation: The trusses made by the manufacturer have the shape of an isoscellestriangle and as such two congruent sides PQ ≅ PR) are equal and QR is the third side whose length is 4/3 of the congruent sides.
The perimeter of each truss is 70ft.
Let the length of each congruent side be x ft.
Therefore,
Perimeter = x + x + (4/3)x
Perimeter, p = 70 = 3.33x
x = 70/3.33
x = 21.02
Therefore, Length of QR is; QR = (4/3) x
QR = (4/3) × 21.02
QR = 28.03
Easy points +Brainly (Pythagorean) Include "step by step explination" for brainly
Answers
Answer:
85 units²
Step-by-step explanation:
Add up your given areas to find the missing area using the Pythagorean Theorem:
a²+b²=c²
35+50=c²
85=c²
Therefore, the area of the blue square is 85 units²
Answer:
85 units²
Step-by-step explanation:
Susan has a rectangle and a right triangle.
• The length of the rectangle is 4 more than its width, w.
.
• The length of the shorter leg of the triangle is equal to the rectangle's
width.
• The length of the longer leg of the triangle is twice the length of the
rectangle.
Answers
Answer:
A. 2w² + 8w
Step-by-step explanation:
rectangle: A = w(w+4) = w² + 4w
triangle: A = 1/2(2(w+4)(w)) = 1/2(2w+8)(w) = 1/2(2w²+8w) = w² + 4w
Total Area = w² + 4w + w² + 4w = 2w² + 8w
Which of the following is an equivalent ratio for the 15/24?
5/4
30/40
5/8
Answers
Answer:
5/8
Step-by-step explanation:
15/3=5 and 24/3=8
Answer:
5/8
Step-by-step explanation:
divide both by 3
Question 22 This question has two parts. First, answer Part A. Then, answer Part B. Part A STATE YOUR ASSUMPTION Liling is making a quilt. She starts with two small squares of material and cuts them along the diagonal. Then she arranges the four resulting triangles to make a large square quilt block. She wants the large quilt block to have an area of 36 square inches. A. What side lengths should Liling use for the two small squares of material? Explain. Round to the nearest tenth, if necessary. In. ; For the block to have an area of 36 square inches, each side must be V2 in. Or about inches. By the inches. This means the hypotenuse of each small right triangle is V2 inches 45°-45°-90° Triangle Theorem, the sides of these triangles measure Part B Do b. Explain any assumption that you make to answer part a. Next Question Check Answer Privacy and Cookies | Terms of Use | Minimum Requirements Platform Status 2021 McGraw-Hill Education. All Rights Reserved.
Answers
Blank space 1: 3
Blank space 2: 4.242
Blank space 3: 6
Blank space 4: 6
Blank space 5: 3
This can be solved using triangle theorem.
What is triangle theorem?The first theorem, a triangle's three inner angles can be added up to 180 degrees. According to this theorem, if ABC is a triangle, then ∠A + ∠B + ∠C = 180°.The second theorem states that an isosceles triangle's base angles are congruent or that its opposing sides' angles are also equal in size.The third theorem states that the total of the equivalent internal angles is equal to the size of the exterior angle of a triangle.Given that,
Liling is making a quilt. She starts with two small squares of material and cuts them along the diagonal.
The bigger square = 36 sq. in.
Then the side of the bigger square = √36 inch = 6 inch
Next, The side of the bigger square = Diagonal of the smaller square
Let the side of the smaller square = a (let)
Diagonal (smaller square): a√2 = 6 inch
so, a = 3√2 inch
Thus, a = 3 x 1.414 = 4.242
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The complete question is as follows:
how would multiply polynomials if it was very difficult?
Answers
Step-by-step explanation:
The way that you would multiply polynomials is pretty easy. Say we had a binomial and a trinomial and we wanted to multiply them. As an example, we will use (2x + 4) (x^2 + x + 4).
You have to multiply each number with each other number. For example, we would multiply 2x by x^2, 2x by x, and 2x by 4 to get the first part of the bigger equation. These come out to being 2x^3 + 2x^2 + 8x when multiplied and added.
Then, you have to do the same thing for the 4 in the binomial. Multiply 4 by x^2, 4 by x, and 4 by 4 to get the second part of the bigger equation. These come out as 4x^2 + 4x + 16 when added and multiplied.
After both of those are done, simply add the two parts together and simplify.
2x^3 + 2x^2 + 8x + 4x^2 + 4x + 16
2x^3 + 6x^2 + 12x + 16
That is your example answer, and that is how you multiply polynomials.
Given the line y = − 2 5 x + 3, determine if the given line is parallel, perpendicular, or neither. Select the correct answer for each lettered part. A. y = 2 5 x + 7 A Parallel B Perpendicular C Neither B. 5y + 2x = −10 A Parallel B Perpendicular C Neither C. −5x + 2y = 4 A Parallel B Perpendicular C Neither
Answers
Answer:
(a) Neither
(a) Perpemdicular
Step-by-step explanation:
Required
Determine the relationship between given lines
(a)
[tex]y = -\frac{2}{5}x + 3[/tex]
and
[tex]y = \frac{2}{5}x + 7[/tex]
An equation written in form: [tex]y=mx + b[/tex] has the slope:
[tex]m \to slope[/tex]
So, in both equations:
[tex]m_1 = -\frac{2}{5}[/tex]
[tex]m_2 = \frac{2}{5}[/tex]
For both lines to be parallel
[tex]m_1 = m_2[/tex]
This is false in this case, because:
[tex]-\frac{2}{5} \ne \frac{2}{5}[/tex]
For both lines to be perpendicular
[tex]m_1 * m_2 = -1[/tex]
This is false in this case, because:
[tex]-\frac{2}{5} * \frac{2}{5} \ne -1[/tex]
(b)
[tex]5y + 2x = -10[/tex]
and
[tex]-5x + 2y = 4[/tex]
Write equations in form: [tex]y=mx + b[/tex]
[tex]5y + 2x = -10[/tex]
[tex]5y = -2x +10[/tex]
Divide by 5
[tex]y = -\frac{2}{5}x +2[/tex]
[tex]-5x + 2y = 4[/tex]
[tex]2y = 5x + 4[/tex]
Divide by 2
[tex]y = \frac{5}{2}x + 2[/tex]
In both equations:
[tex]m_1 = -\frac{2}{5}[/tex]
[tex]m_2 = \frac{5}{2}[/tex]
For both lines to be parallel
[tex]m_1 = m_2[/tex]
This is false in this case, because:
[tex]-\frac{2}{5} \ne \frac{5}{2}[/tex]
For both lines to be perpendicular
[tex]m_1 * m_2 = -1[/tex]
This is true in this case, because:
[tex]-\frac{2}{5} * \frac{5}{2} = -1[/tex]
Cancel out 2 and 5
[tex]-1 = -1[/tex]
Matthew invested $5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent , would be in the account after 7 years?
Answers
Answer:
$8173
Step-by-step explanation:
For this problem you will use the formula P(t)=Pe^r(t). P=5800 r=4.9%=0.049
t=7 years. With using this formula you should get your answer. I hope this helps!
What is == and === in Python?
Answers
The == operator determines if two operands are equivalent in terms of value. The === operator determines if two operands are equivalent in terms of value and datatype.
The assignment operator = is straightforward. The left side operand receives values from the right side operands.
On the other hand, == determines whether or not the values of two operands are equal.
The Python is operator determines if two variables point to the same memory item as opposed to the == operator, which compares the value or equality of two objects. This implies that you should almost always employ the equality operators == and != Difference between == and = in Python.
A single equal sign is used to assign a value to a variable in Python and many other programming languages, whereas two successive equal signs are used to determine if two expressions provide the same result.
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What quantity should be added to both sides of this equation to
complete the square?
x2 - 8x = 5
Answers
Answer:
o, we should add 16 on both sides in order to make it a complete square
Step-by-step explanation:
For making a perfect square we will add 16 on both sides of the given equation.
What is quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
Given equation is:-
x² - 8x = 5
x² - 8x + 16 = 5 + 16
x² - 4x -4x + 16 = 5 + 16
x ( x - 4 ) -4 (x - 4 ) = 21
( x - 4 )² = 21
Therefore to make a perfect square we will add 16 on both sides of the given equation.
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Please help I really need it now!!!
Answers
Answer:
d. alternate interior angles are congruent
ou have $54.75. You earn additional money by mowing lawns. Then you purchase a new pair of shoes for $79.99 and have $34.76 left. How much money do you earn mowing lawns
Answers
Answer: 60
Step-by-step explanation:
If you subtract how much money you already had(54.75) from what you spent(79.99) you get 25.24. You then add 25.24 to the koney you had left(34.76) to get you answer of 60
to simplify the expression 3+5×3-8÷4
Answers
Answer:
f) 5x 3
Step-by-step explanation:
You do multiplication first
In a poll, 411 students voted. Nominee C received 2 3 of the votes. How many votes did Nominee C receive?
Answers
Answer: 274 votes
Step-by-step explanation:
Since we are informed that in a a poll that 411 students voted and Nominee C received ⅔ of the votes.
Therefore, the number of votes that Nominee C received will be:
= ⅔ × 411
= 274
Therefore, Nominee C got 274 votes
heyy! i’ll give brainliest please help
Answers
Answer:
d. Atlantic Ocean
Answer:
Atlantic Ocean
33
Problem 2
m, p, and z represent the lengths of the three sides of this right triangle.
m
i
Z
Р
Select all the equations that represent the relationship between m, p, and z.
Answers
Therefore , the solution of the given problem of equation comes out to bem² + p² =z².
Equation: What is it?The Latin word equ has the meaning of equivalent. Many of the English language's changeable terms, including adequate, temperate, and equality, contain Latin roots in their base words. The Latin root word equ enters our lexicon rather easily because both sides of an equation are, by essence, "equal" to one another.
Here,
Given : a triangle of m,p,z of length of right triangle :
By using Pythagoras theorem :
The relationship comes out to be :
=> m² + p² =z²
Thus , relationship between m , p and z is m² + p² =z² as per Pythagoras theorem.
Therefore , the solution of the given problem of equation comes out to be m² + p² =z².
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Which represents the solution set of 5(x+5) <85?
Ox< 12
O x> 12
O x < 18
O x> 18
Answers
Answer: O x<12
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
5x+25<85
Step 2: Subtract 25 from both sides.
5x+25−25<85−25
5x<60
Step 3: Divide both sides by 5.
5x/5 < 60/5
x<12
The distance from Earth to the moon is 384,400 kilometers. What is this distance expressed in scientific notation?
Answers
Answer:
3.844 x 10 to the power of 5 is the answer i think
Step-by-step explanation:
Answer:
If the other person is correct then it should be 3.844 x 10^5 and 3.844E5 as well
Step-by-step explanation:
/_A and /_B are vertical angles. If m /_A = (5x + 2)° and m /_ B = (6x - 12)°, then find the value of x.
Answers
Answer:
x = 14
Step-by-step explanation:
Vertical angles are congruent ( equal to each other )
If ∠A and ∠B are vertical angles
Then 5x + 2 = 6x - 12
^ ( Note that we just created an equation that we can use to solve for x )
The rest comes down to basic algebra
5x + 2 = 6x - 12
step 1 subtract 5x from each side
5x - 5x cancels out
6x - 5x = x
we now have 2 = x - 12
step 2 add 12 to each side
- 12 + 12 cancels out
2 + 12 = 14
we're left with x = 14
Trina is the age of her grandfather, less 5 years. Their combined age is 95 years. How old is Trina? How old is her grandfather?
Answers
Answer:
Trina is 45 years old.
Her grandfather is 50 years old.
Step-by-step explanation:
Trina is 5 years younger than grandfather, therefore:
45+50 = 95
An office manager is planning to set up three computer workstations and a file cabinet in a space that is 27 feet wide. The file cabinet takes up 3 feet. What is the width of the space available for each computer station?
Answers
Answer:
The width of the space available for each computer station is 8 feet-------------------------------
The width of the space for computer stations is:
27 - 3 = 24 feetEach computer station has a space of:
24/3 = 8 feet