According to the question, the two equations are neither parallel nor perpendicular is 4x + 2y = 10 and x+2y =6.
When the slope of the two lines are same, then the lines are parallel to each other. And when the multiplication of the two slope is negative one, then the lines are perpendicular with each other.
Now, the slope of the first equation that is 4x + 2y = 10
slope([tex]m_{1}[/tex]) = (10 - 4x)/2 = 5
Comparing the above equation with y = mx + c
Similarly,
slope([tex]m_{2}[/tex]) = (6 - x)/2 = 3
Therefore, the calculated slopes are neither parallel nor perpendicular.
What is slope?
The slope of the line is the ratio of the horizontal axis and the vertical axis. And to calculate the slope of the lines which are parallel or perpendicular by comparing it with the standard equation. When the slopes of two or more equations are same then the lines are parallel. When the multiplication of the slope between the lines is negative one, then it is perpendicular.
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Solve for h.
11h > -2(-5h + 19)
Write your answer with h first, followed by an inequality symbol.
Answer: [tex]h > -38[/tex]
Step-by-step explanation:
11h > -2(-5h +19)
Expand = [tex]-2\left(-5h\right)+\left(-2\right)\cdot \:19[/tex] = [tex]2\cdot \:5h-2\cdot \:19[/tex]
Simplify 2 times 5h-2 times 19: 10h-38
[tex]11h-10h > 10h-38-10h[/tex]
Simplify=[tex]h > -38[/tex]
Are the two lines parallel and why?
The graph has two lines and the lines are parallel lines.
Given that,
There is graph in the picture with 2 lines and 4 points.
The points are A=(0,6) and B=(8,0) of line 1.
The points are C=(-3,4) and D=(0,2) of line 2.
From the line 1 points A and B we can find the equation by using the slope equation formula.
Let take A=(0,6)=[tex](x_{1} ,y_{1} )[/tex] and B=(8,0)=[tex](x_{2} ,y_{2} )[/tex]
slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{0-6}{8-0}=\frac{-6}{8}=\frac{-3}{4}[/tex]
Now, To find the equation of the line the formula is
[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -6}{0 -6 } =\frac{x -0 }{8 -0 }\\\frac{y-6}{-6}=\frac{x}{8}\\ 8(y-6)=x(-6)\\ 8y-48=-6x\\6x+8y-48=0[/tex]
Therefore, the 1st line equation is [tex]6x+8y-48=0[/tex]
Let take C=(-3,4)=[tex](x_{1} ,y_{1} )[/tex] and D=(0,2)=[tex](x_{2} ,y_{2} )[/tex]
slope m= [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} } =\frac{2-4}{0-(-3)}=\frac{-2}{3}[/tex]
Now, To find the equation of the line the formula is
[tex]\frac{y -y_{1} }{y_{2} -y_{1} } =\frac{x -x_{1} }{x_{2} -x_{1} }\\\frac{y -4}{2 -4 } =\frac{x -0 }{-3 -0 }\\\frac{y-4}{-2}=\frac{x}{-3}\\ -3(y-4)=x(-2)\\ -3y+12=-2x\\2x-3y+12=0[/tex]
Therefore, the 2st line equation is [tex]2x-3y+12=0[/tex].
So, from the 2 equation we have
6x+8y-48=0 and 2x-3y+12=0.
[tex]a_{1} =6,b_{1} =8,c_{1} =48[/tex]
[tex]a_{2} =2,b_{2} =-3,c_{2} =12[/tex]
We have to check weather it satisfy the condition or not.
[tex]\frac{6}{2}\neq\frac{8}{-3} \\\frac{a_{1} }{a_{2} }\neq\frac{b_{1} }{b_{2} }[/tex]
Therefore, it satisfy the condition so the lines are parallel lines.
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Does (10, 9) make the inequality 10x + 13y > 10 true?
yes
no.
Answer:
Yes (10,9) does make the inequality 10x + 13y > 10 true
Step-by-step explanation:
Substitute (10,9) in place of x and y 10(10) + 13(9) > 10Multiply the variables 10•10=100 and 13•9=117 100 + 117 > 10Add like terms 100 + 117= 217 Compare the answer to see if your variable is true since 217 > 10 a true statement then that means yes coordinates (10,9) make the inequality 10x + 13y > 10 trueHey Siri Rhea couple by basic car cost in $26, 500,000 with options costing 725,000
Ray's total cost was $28, 908.50
Ray Cupple bought a basic car costing at $26,500.00,
The options costing is $725.00.
The sales tax in the state is 6%
The combined cost for license and registration fee is $50.00
Cost price of car = $26,500 and the Cost of options= $725
Therefore, the total taxable cost=$26,500+ $725=$27225
Tax amount = 6% of Total taxable cost
=0.06 x $27225 = $1,633.5
Total cost = $27225 + $1,633.5 + $50
Total cost = $28,908.50
Therefore Ray's total cost was $28, 908.50
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Disclaimer : Your question was incomplete, the above mentioned answer is solved as per the following question "Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combined $50.00 license and registration fee. What was Ray's total cost?"
Distance between (0,0) to (2,5)
The distance between (0,0) and (2,5) is √29.
Given,
(0,0) to (2,5)
We need to find the distance between (0,0) and (2,5).
What is the distance formula between two points?It is given as:
If two points are (a,b) and (c,d)
d = √ ( c - a )²+ (d - b )²
Find the distance between (0,0) and (2,5).
We have,
d = √ ( 2 - 0 )² + ( 5 - 0 )²
d = √ 2² + 5²
d = √ 4 + 25
d = √ 29
Thus the distance between (0,0) and (2,5) is √29.
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is 4.3239673… rational or irrational?
Answer: How do you know if its rational or irrational?
What are rational and irrational numbers? Rational numbers are the numbers that can be expressed in the form of a ratio (i.e., P/Q and Q≠0) and irrational numbers cannot be expressed as a fraction. But both the numbers are real numbers and can be represented in a number line.
Step-by-step explanation: hope this helps!!!
if 3/4 of the 42 states in that country must approve the ammendment If 41 states approve an amendment, will the constitution be amended?
Answer: Yes
Step-by-step explanation:
3/4 of 42 is (3/4)(42)=31.5, and 41 is greater than 31.5.
y varies directly with x .
If y=4 when x=-2 , find x when y=6 .
Using direct variation, As y varies directly with x, for y=6 the value of x will be -3.
What is direct variation?Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.
As y varies directly with x,
Using direct variation,
⇒ y = kx
⇒ 4 = k (-2)
⇒ k = -2
⇒ For y = 6,
⇒ x = y / k
⇒ x = 6 / -2
⇒ x = -3
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help please will give brainliest
Answer:
Step-by-step explanation:
[-6, ∞)
-6 with bracket because open circle means not equal to.
positive ∞ because arrow shows x going forever.
a coin is flipped 10 times with the following results: {T,T,H,T,T,T,H,T} where H is heads and T is tails. what is the experimental probability that the coin will be heads when it is flipped?
a. 0.5
b. 0.3
c. 0.7
d. 1.0
Answer:
c
Step-by-step explanation:
im pretty sure it is c because of the 50 50 shoot anically
Answer: T 0.5 H 0.3
Step-by-step explanation:
dont actually do this im a 5th grader who guessed
HELP ASAP!!! WILL MARK BRAINLIEST!! What are the coordinates of G after it is reflected over the x-axis?
Answer:
G'( -4 , -3 )
Step-by-step explanation:
Use the rule ( x, y ) changes to ( x , -y )
The original point of G is ( -4, 3 )
The x value stays the same, -4
The y value is multiplied by (-1), (3)(-1) = -3
Find the median of each data set. 11 23 15 17 21 18 21
For a store to make a profit, they often price the items well over the cost to make the item. A new cell phone sold for $200, which was 200% of the actual cost. What is the actual price of the cell phone?
A. $400
B. $150
C. $250
D. $300
E. $100
Write an equation of each line.slope =3 ; through (1,5)
The equation of the line in point-slope form, with slope equal to 3 and passing through the point located at (1 , 5), is (y - 5) = 3(x - 1).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Using the point slope form, plug in the values to set up the equation.
(y - y1) = m(x - x1)
where m = 3 and (x1 , y1) = (1 , 5)
(y - 5) = 3(x - 1)
In slope-intercept form, the equation of the line is:
(y - 5) = 3(x - 1)
y - 5 = 3x - 3
y = 3x + 2
In standard form, the equation of the line is:
y = 3x + 2
3x - y = -2
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Find the percent of the given number. 10 % of 180
Answer:
18
Step-by-step explanation:
To find 10% of 180:
multiply 180 with 10 then divide it by 100
180×10÷100 = 18
If PL=10 and PK=8, find the length KN.
Answer:
4.5
Step-by-step explanation:
To answer the problem:
PK * PN = PL^2
Let PN = x
8x = 10^2
8x = 100
x = 100/8
x = 12.5
KN = PN - PK
12.5 - 8 = 4.5 would be the length of segment KN.
5. An arithmetic sequence is defined by:
a₁ = -8
an = an-1+4
What is the 7th term of the sequence?
Answer: 16
Step-by-step explanation:
an = an-1+4 ==> change in every term is +4
1=1st term
7=7th term
-8+4*(7-1)=
-8+4*6=
-8+24=16
In this problem, you will investigate the relationship between same-side exterior angles.
c. Make a conjecture about the relationship between the pair of angles formed on the exterior of parallel lines and on the same side of the transversal.
The relationship between the angles formed on the exterior of parallel lines on the same side is Co-Exterior Angles
In the picture mentioned, there are two lines m and n parallel to each other and a transversal t. It forms exterior angles on the same side of the transversal as highlighted. According to the property of Co-exterior angles,
=> ∠1 ≅ ∠8
=> ∠2 ≅ ∠7
When a transversal is constructed on parallel lines, there are angles formed on both interior and exterior sides of the parallel lines. The pair of angles formed on the exterior side of parallel lines which are on the same side of the transversal dropped on the parallel lines are called Co-exterior angles. These angles formed are congruent to each other.
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Select all the statements that describe graph E
The graph represents a function that is non-linear, decreasing and continuous.
What are the features of curve seen in a graph?
In this problem we look at the graph carefully and must infer the most important features of the curve. The following features are listed and explained below:
The graph is non-linear, y is not changing at constant rate when x changes. The graph is decreasing, the slope of the curve become more horizontal inasmusch as x is increased. The graph is continuous, the curve itself represents an "infinite" set of points, a continuum of points.In a nutshell, the graph represents a function that is non-linear, decreasing and continuous.
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What WHOLE number is [tex]\sqrt40[/tex] between?
Answer:
3) 21
4) between 6 and 7
5) 14
6) 7
7) 5
Step-by-step explanation:
3) √441 = 21
4) We write √40 to be the square root of 40, and can investigate between which two whole numbers it lies. The number 40 lies between 36 and 49 hence √40 lies between 6 and 7.
5) √184 to whole number
= 13.6 = 14
∴ √184 is equal to 14 round to a whole number
6) √45 to whole number is 7
=6.7 = 7
7) √27 to whole number is 5
=5.2 = 5
Make up two different equations that equal 8.4 x 10^-5
Answer:
assuming that "x" is a multiplication symbol
(4.2*2)10^-5
0.00001 * 8.4
prove that:tan²0-cot²0=sec²0(1-cot²0)
Answer:
Step-by-step explanation:
Make a table of values for f(x) after the given translation. 4 units up.
Using equations of the form y=f(x), you may be able to modify the graph in various ways. For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of modifications to change it to the desired function.
X F(X) F(X)+4
-2 -2 2
-1 -1 3
0 0 4
1 1 5
2 2 6
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Identify the property that justifies the statement.
Δ ΧΥΖ ~Δ ΑBC and Δ ABC ~Δ PQR, so Δ XYZ ~Δ PQR.
Answer:
sym. prop of . now mark me as brainliest
Mr. Forrest has 18 pepper plants and 24 green bean plants to put in adjacent sections of his garden. He wants the same number of plants in each row in both sections. What is the greatest number of plants he can have in one row?
Answer:
Henry's garden:
Divide 24 and 18 by 6: you get a 4:3 ratio of tomato: green bean
Simon's garden:
divide both 30 and 25 by 5: you get a 6:5 ratio of tomato: to green bean.
Step-by-step explanation:
Hope this helps!
Need asap
What is the product of 11/12 and 240/121
Answer:
20/11
Step-by-step explanation:
Recall that the word "product" means multiplication.
We're asked to multiply 11/12 by 240/121
Once multiplied, we get:
20/11 or 1.81 (in decimal form)
Answer:
c) 20/11
Step-by-step explanation:
Given problem,
→ (11/12) × (240/121)
Then required product will be,
→ (11/12) × (240/121)
→ (11 × 240)/(12 × 121)
→ 2640/1452
→ 20/11
Hence, option (c) is correct.
Three competing subcontractors are reporting their average work output to a large project leader for a new housing development.
Rosk Construction provided an equation, where w represents the number of full weeks of work and a represents the estimated area of vinyl siding that can be installed in 100 ft2 units.
Equation from Rosk Construction: a = 62w
Fosbert’s Contracting provided a table indicating similar data from two jobs that had recently been completed by its crew.
Durable B Construction provided a graph showing the results of three of its recently completed jobs.
The unit rate for Rosk Construction is
The unit rate for Fosbert's Contracting is
The unit rate for Durable B Construction is
Using proportional relationships, the unit rates are given as follows:
Rosk: 62.Fosbert's: 65.Durable B: 63.What is a direct proportional relationship?A direct proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality, also called the unit rate k, as follows:
y = kx
For this problem, the functions are given as follows:
Rask: a = 62w. (from the text).Fosbert's: a = 65w. (from the missing information section).Durable B: a = 63w. (from the missing information section).The unit rates are the constants of proportionality, respectively, given by:
k = 62, k = 65 and k = 63.
What is the missing information?The functions for Fosbert's Contracting and Durable B Construction are missing, and are given as follows:
Fosbert's: a = 65w.Durable B: a = 63w.More can be learned about proportional relationships at https://brainly.com/question/10424180
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how is it that if owidnnskhdksdowhdowhdowhdowhdowdhwhdowhodhdowhowdhwohdowdw
Answer:
because shjnanavanakab abakagavajamannsjsvvee. eshjana
Find the value of x
Answer:
x=43 degrees
Step-by-step explanation:
m/ABC = 17x+8, mZABK = 42°,
and m/KBC = 12x - 4. Find m2ABC.
A
B
K
C