Solving all the linear equation The value of CD is 6.
An algebraic equation known as a linear equation has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.
Now According to the question
BC = x+1
CD = 14x - 10
BD = 6
by this we can say that
BC + CD = BD
no by substitution method putting values of BC , CD and BD
(x + 1) + (14x - 10) = 6
15x - 9 =6
15x = 15
x = 1
now again by substitution method putting value of x in to 14x-10 we get
CD = 14(1)-10
CD = 4
Hence the value of CD = 4
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In the figure below, m1=8x° and m2 = (x-9)°.
Find the angle measures.
1
1 2
Answer:
<1 = 168
<2 = 12
Step-by-step explanation:
First, you need to solve for x
8x + x -9 = 180
9x -9 = 180
9x = 189
x = 21
Now, substitute in 21 for x for both angles
8(21) = 168
(21) - 9 = 12
What is the surface area of a pyramid with the measurements being 4 4 7
Find. 5.3 • 10 to the power of 3 - 8 • 10 to the power of 2.
Express you answer in scientific notation
Answer: 568000
Step-by-step explanation:
Please help! Radicals.
(Check pics)
Answer:
[tex] - 26 \sqrt{10} [/tex]
Step-by-step explanation:
Simplify.
[tex] \rightarrow \sqrt{40} \: \: \: \: \: \: \: \: \\ = \sqrt{4 \times 10} \: \: \: \\ = \sqrt{4} \times \sqrt{10} \\ = 2 \times \sqrt{10} \: \: \: \: \\ = 2 \sqrt{10} \: \: \: \: \: \: \: \: \: [/tex]
[tex] \rightarrow \sqrt{160} \\ = \sqrt{16 \times 10} \: \: \: \\ = \sqrt{16} \times \sqrt{10} \\ = 4 \sqrt{10} \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Let us solve the given expression now.
[tex] - \sqrt{40} - 6 \sqrt{160} \\ - 2 \sqrt{10} - 6 \times 4 \sqrt{10} \\ - 2 \sqrt{10} - 24 \sqrt{10} \\ - 26 \sqrt{10} [/tex]
julian needs to spend at least 7 hours each week practicing the drums. he has already practiced hours this week. he wants to split the remaining practice time evenly between the last 2 days of the week. write an inequality to determine the minimum number of hours he needs to practice on each of the 2 days.
An inequality to determine the minimum number of hours he needs to practice on each of the 2 days 0.835.
What is inequality?Definition and importance Imbalance or monetary disparity alludes to the contrast between the rich and poor, the endlessly the less wealthy - it is shown by individuals' various situations inside the financial conveyance - abundance, pay and pay. Imbalance is huge in a general public where hardly any individuals own a lopsided measure of the financial pie. In order to solve the inequality, the variable should be on one side, without coefficients or constants. Divide to cancel out coefficients and add or subtract to remove constants. Once you have isolated the variable, you have solved the inequality. Approach the inequality as you would an equation. Social imbalance alludes to the lopsided economic wellbeing in any general public, coming about because of inconsistent open doors, and lower awards for exertion. This sort of divergence is brought about by a sensation of being unjustifiably treated, or of segregation in host of regions, like restricted admittance to quality training and occupations. Notwithstanding pay imbalance, individuals who have specific individual attributes, either from birth, or which have been constrained on them by others, are in many cases the subject of inconsistent social treatment. These attributes incorporate such things as race, skin tone, and eye shape, as well as parentage, the guardians' societal position, inability, orientation and orientation character.
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find the interesection if possible: ( − 1 , 6 ] ∩ [ − 3 , 4 ] . express your answer in interval notation.
The intersection of the sets written in interval notation is -1 ≤ x ≤ 4
What is interval notation?Interval notation is a mathematical method or way of writing subsets of the real number line.
It also helps in telling the part of the number line, from left to right, that is included in the solution.
Given the sets;
( − 1 , 6 ] ∩ [ − 3 , 4 ]
(-1, 4) is the intersection of the sets
In interval notation, it is written as;
-1 ≤ x ≤ 4
Thus, the intersection of the sets written in interval notation is -1 ≤ x ≤ 4
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Fill in the missing parts in the equivalent forms:
6/9 = blank/6
Answer:
9
Step-by-step explanation:
Which of the following graphs are functions? Select all that apply.
A
C
E
B
D
F
The graphs that could be functions from the graphs shown in the question are A and E.
What is a function?
A function is a mathematical rule. We know that a graph is a plot of data on the cartesian coordinates. The cartesian coordinates are x and y. The x axis is the vertical axis while the y axis is the horizontal axis.
Now we can see that there are bout six plots and we need to determine which of the plots does correspond to a function. We shall now look over the graphs to see how they correlate with functions.
It is clear that the graphs that could be functions from the graphs shown in the question are A and E.
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Solve the following proportion.
x/-8 = 12/6
A -12 B -14
C -16 D -18
Step-by-step explanation:
Multiply both sides of the equation by 24, the least common multiple of −8,6
−3x=4×12
Multiply 4 and 12 to get 48.
−3x=48
Divide both sides by −3.
x= −3/48
Divide 48 by −3 to get −16.
The answer is x=−16
marvin was completing the square, and his work is shown below. identify the line where he made his mistake. (2 points) f(x)
He made the mistake on line 1.
2x^2 - 8x + 5....move the 5 to the other side
2x^2 - 8x = -5....now divide by 2
x^2 - 4x = -5/2
x^2 - 4x + 4 = -5/2 + 4
(x - 2)^2 = -5/2 + 8/2
(x - 2)^2 = 3/2
x - 2 = (+-)sqrt 3/2
x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2
He made mistake on line 1.
Complete question -Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27
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In 34,65/2,31,59/2 which term is 16?
Answer:
8
Step-by-step explanation:
Answer:
none is
Step-by-step explanation:
a builder wants to install hardwood flooring in a dining room of length 8.68 m and width 6.1 m. what is the area of the room (in m2)?
Answer:
52.948 m²
Step-by-step explanation:
→ State the formula for the area
length × width
→ Substitute in the numbers
8.68 × 6.1 = 52.948 m²
Easy age problems about basic algebra
Answer: for sure
Step-by-step explanation:
Answer: How do you solve age problems in algebra?
If the age of a person is 'x', then 'n' years after today, the age = x + n. Similarly, n years in the past, the age of this would have been x – n years. Answer: Suppose that the present age of the son is = x years. Then the father's age is (60 -x) years.
Step-by-step explanation: hope this helpss!!!
(1 point) Find an equation for the linear function g(x) which is perpendicular to the line 5x−2y=6 and intersects the line 5x−2y=6 at x=8.
g(x)=
Answer: y=-0.4x+20.2
Step-by-step explanation:
[tex]5x-2y=6\\5x-2y+2y=6+2y\\5x=6+2y\\5x-6=6+2y-6\\5x-6=2y[/tex]
Divide both parts of the equation by 2:
[tex]\displaystyle\\\frac{5x-6}{2}=y\\\\\frac{5}{2} x-3=y[/tex]
Coordinates of the intersection point of the equations:
[tex]\displaystyle\\y=\frac{5}{2}x-3 \ and\ x=8\ are:[/tex]
[tex]\displaystyle\\x=8\\Hence,\\y=\frac{5}{2} (8)-3\\\\y=\frac{5*8}{2} -3\\\\y=\frac{5*4*2}{2}-3\\\\y=5*4-3 \\\\y=20-3\\\\y=17\\Thus, (8,17)[/tex]
[tex]\displaystyle\\The\ slope\ \perp=-\frac{1}{\frac{5}{2} } \\\\The\ slope\ \perp=-\frac{2}{5}[/tex]
[tex]\displaystyle\\-\frac{2}{5} =\frac{y-17}{x-8}[/tex]
Multiply both parts of the equation by (x-8):
[tex]\displaystyle\\-\frac{2}{5}(x-8)=y-17\\\\-\frac{2}{5} x+\frac{2*8}{5} =y-17\\\\-\frac{2}{5}x+\frac{16}{5} =y-17\\\\ -0.4x+3.2=y-17\\\\ -0.4x+3.2+17=y-17+17\\\\-0.4x+20.2=y[/tex]-
5:43 pm ----What is 1 hour and 30 minutes more of this? (I mean, what time will it be?)
Answer:
7:13
Step-by-step explanation:
5:43
1 hour from 5:43 will be 6:43
17 mins from 6:43 will be 7:00
13 mins from 7:00 will be 7:13
point m is the midpoint of segment kl. point n is the midpoint of segment ml. a line with the points of k, l, m, and n, in which point m is the midpoi
The second point on the line k,m,n,l is where the midpoint, m, is found by adding kl to the equation.
What do you mean by the segment's midpoint?A segment's midway is the point on a reference line where two congruent segments meet. The segment's midpoint seems to be the point located halfway between the ends of two segments.
According to the given information:The midpoint is the point on the section that lies halfway between the endpoints.
A line segment's midpoint can be calculated by using two endpoints (x1, y1) and (b, c) (x2, y2).
Add all of the x coordinates together and divide by two to determine the x coordinate of the midpoint.
Add all of the y-coordinates together and divide by two to get the y value of the midway.
It is critical to understand that a midpoint is indeed the midpoint of a line segment.
m = ((x + X)/2,(y + Y)/2) then determines the midpoint m.
We must demonstrate that the distance between m and l is equal to the distance between m and k and that this value is half the distance from k to l to show that m is, in fact, the midpoint of the horizontal line kl.
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point m is the midpoint of segment kl. point n is the midpoint of segment ml. a line with the points of k, l, m, and n, in which point m is the midpoint?
Solve the following equation.
(90-x)-x=18
Answer:
x = 36
Step-by-step explanation:
what is the area of rectangle wxyz with vertices wleft-parenthesis 0 comma 1 right-parenthesis, xleft-parenthesis 3 comma 4 right-parenthesis , yleft-parenthesis negative 1 comma 8 right-parenthesis, zleft-parenthesis negative 4 comma 5 right-parenthesis to the nearest unit?
The area of the rectangle will be 24sq, units.
How can we calculate the area of the rectangle?To determine the area of various polygons, there exist specialized formulae. The general formula for rectangles is as follows:
A = width x length
Given, the coordinates of the rectangle are W(0,1), X(3,4), Y(-1, 8), Z(-4,5)
So the length of rectangle will be = distance between W and X will be -
⇒[tex]\sqrt{(3 - 0)^{2} + (4-1^{2}) }[/tex]
⇒[tex]\sqrt{18}[/tex]
The breadth of rectangle will be = distance between X and Y
⇒ [tex]\sqrt{(3 + 1)^{2} + (8-4)^{2} }[/tex]
⇒ [tex]\sqrt{32}[/tex]
Now, area of rectangle = length × breadth
⇒ [tex]\sqrt{18}[/tex] × [tex]\sqrt{32}[/tex]
⇒ 24 sq. units
So, the area of the rectangle will be - 24 sq. units
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abigail wanta to find three consecutive even integers whose sum is four times the smallest of those integers. she lets n represent the smallest integer, then writes this equation n + (n + 2) + (n + 4) = 4n
Step-by-step explanation:
first add all the n together
3n and 4n
add those together too
7n
now add 2+4
6 now
7n\-7n =6/-7n = -1n
1. If AJKL APQR, which one of these is not a pair of corresponding parts?
Convert the following recurring decimals to fractions
0.617
find the direction cosines and direction angles of the vector. (give the direction angles correct to the nearest tenth of a degree.)
The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are
cosα = x/r = 3√2/10cosβ = y/r = 4√2/10 and cosγ = z/r = √2/2So, the direction angles are
α = cos⁻¹(x/r) = cos⁻¹(3√2/10) = 64.9°β = cos⁻¹(y/r) = cos⁻¹(4√2/10) = 55.6° and γ = cos⁻¹(z/r) = cos⁻¹(√2/2) = 45°How to find the direction cosines and direction angles of the vector?Given a vector r = xi + yj + zk where
x, y and z are the components of the vector in the x, y and z directions. and r = √(x² + y² + z²)The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are
cosα = x/r, cosβ = y/r and cosγ = z/rSo, their direction angles are
α = cos⁻¹(x/r), β = cos⁻¹(y/r) and γ = cos⁻¹(z/r)As an example, let r = 3i + 4j + 5k
So, r = √(x² + y² + z²)
= √(3² + 4² + 5²)
= √(9 + 16 + 25)
= √50
= 5√2
The direction cosines of the vector r with direction angles α, β, γ to the x, y and z axis are
cosα = x/r = 3/5√2 = 3√2/10cosβ = y/r = 4/5√2 = 4√2/10 and cosγ = z/r = 5/5√2 = 1/√2 = √2/2So, the direction angles are
α = cos⁻¹(x/r) = cos⁻¹(3√2/10) = cos⁻¹(0.4243) = 64.9°β = cos⁻¹(y/r) = cos⁻¹(4√2/10) = cos⁻¹(0.5657) = 55.6° and γ = cos⁻¹(z/r) = cos⁻¹(√2/2) = cos⁻¹(0.5657) = 45°Learn more about direction cosine here:
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is 47.2 greater than 47.197?
Answer:
Yes.
Step-by-step explanation:
Think of it this way,
0.2 = 200
0.197 = 197
200 > 197
Question Write an absolute value equation that has the solutions x=2 and x=9
Absolute value equation that has the solutions x=2 and x=9 is |x - 5.5| = 3.5
5.5 is the mid-point between 2 and 9: (2+9)/2=5.5and the equation says that the points x= 2 and x= 9 are equally remoted at the distance of 3.5 from their mid-point.3.5 is the half of the distance 9-2 = 7 between the given points (the given values) x= 2 and x= 9.absolute value equation is |x - 5.5| = 3.5
Generalizations of the absolute cost for actual numbers arise in a huge form of mathematical settings. as an example, an absolute value is likewise defined for the complicated numbers, the quaternions, ordered jewelry, fields and vector spaces. absolutely the price is closely associated with the notions of value, distance, and norm in numerous mathematical and bodily contexts.
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(3.85 x 103) - (1.4 x 102) In scientific notation I need ASAP plss
Answer:
Step-by-step explanation:
x^10
PLSSS HELP IF YOU TURLY KNOW THISS
Two trains leave stations 504 miles apart at the same time and travel toward each other. One train travels 95 at miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet? Do not do any rounding.
Answer:
Step-by-step explanation:
12312ejljaslkjkfdsjkdsfafsd
the table shows the total cost of different numbers of square feet of carpet.
what is the rate of change in dollars with respect of the number of square feet purchased for this linear relationship
The rate of change is $7 per one square feet.
What is the rate of change?In order to determine the rate of change, the difference between each successive cost would be divided by the difference in each successive size.
Rate of change = change in cost /change in size
(980 - 840) / (140 - 120)
140 / 20
= $7
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Find the midpoint of the points. B (-2, -4) and C (-4, -7)
Answer:
-3, -11/2
Step-by-step explanation:
Look up "midpoint formula"
how to solve this with steps?
Answer:
you don't
Step-by-step explanation:
this is at it's simplest form, tell your teacher that or if its online answer, talk to your tutor or teacher