having problems with geometry homework, help me please
Answer:
[tex]XZ=146[/tex]
Step-by-step explanation:
Since [tex]M[/tex] is the midpoint of segment [tex]XZ[/tex]:
[tex]XM+MZ=XZ[/tex]
[tex]XM=MZ[/tex]
Identify your known values:
[tex]XM=2x+35\\MZ=5x-22\\[/tex]
Solve for [tex]x[/tex]:
[tex]2x+35=5x-22[/tex]
Subtract [tex]35[/tex] from both sides of the equation:
[tex]2x=5x-57[/tex]
Subtract [tex]5x[/tex] from both sides of the equation:
[tex]-3x=-57[/tex]
Divide by the coefficient of [tex]x[/tex], which is [tex]-3[/tex]:
[tex]x=19[/tex]
Substitute:
[tex]XM=2(19)+35\\MZ=5(19)-22[/tex]
Solve:
[tex]XM=73\\MZ=73[/tex]
Again, we know:
[tex]XM+MZ=XZ[/tex]
Therefore:
[tex]XZ=73+73[/tex]
Solve:
[tex]XZ=146[/tex]
Write the equation of the line that passes through the given points (-6, 0) and (0, 3)
Answer:
Step-by-step explanation:
Put (-6,0) and (0,3) into a table of values
form of the equation: mx+b
x -6 0
y 0 3
3/-6=-0.5 (m)
3=b (the value of y when x=0)
equation: y=0.5x+3
write an equation of the line that passes through each pair of points (0,1),(5,3)
Question: 8n - 3 - 5n > 9
Answer: Inequality Form:
n > 4
Interval Notation:
4, (infinite)
express 15x^1/3 y ^1/5 using a radical
Answer:
C
Step-by-step explanation:
[tex]15x^{\frac{1}{3} }y^{\frac{1}{5} }\\\\=15x^{\frac{5*1}{5*3} }y^{\frac{3*1}{3*5} }\\\\=15x^{\frac{5}{15} }y^{\frac{3}{15} }\\\\=15\sqrt[15]{x^{5}y^{3} } \\\\[/tex]
The expression 15x^(1/3) y^(1/5) can be written as 15 * ∛x * ∜y
How to express 15x^(1/3) y^(1/5) using a radical?To express 15x^(1/3) y^(1/5) using a radical, we will start by writing each term with a common base.
Now express x^(1/3) as a radical. We know x^(1/3) is the cube root of x, this is rewritten as ∛x.
Now, we express y^(1/5) as a radical. We know that y^(1/5) is the fifth root of y, so we is rewritten it as ∜y.
Putting it all together, we have:
15x^(1/3) y^(1/5) = 15 * ∛x * ∜y.
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I need help to make it positive
Answer:
-8c^4/m^3
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a^-b = 1/a^b
__
[tex](-2)^3\cdot(c^{-2})^{-2}\cdot m^{-6}=-8\cdot c^{(-2)(-2)}\cdot m^{-3}\\\\=\boxed{\dfrac{-8c^4}{m^3}}[/tex]
8hiobhjgjgjvygvm,dfndfjkgnvabjchdbsnfbhj
Answer:
d
Step-by-step explanation:
Divide8/9 and 8. Express your answer in simplest form
Answer: The answer is 0.11 in decimal form.
Step-by-step explanation:
Line segment JK in the coordinate plane has endpoints with coordinates \left(-4,11\right)(−4,11) and \left(8,-1\right)(8,−1).Supposed J, P, and K are collinear on segment JK, and JP:JK=\frac{1}{3}JP:JK=1/3 . What are the coordinates of P?
Answer:
(-1, 8)Step-by-step explanation:
Given P to be the point that divides the coordinates J and K in the ratio 1:3
then the coordinate of point P will be xpressed as;
P(X, Y) = [tex](\frac{bx_1+ax_2}{b+a}, \frac{by_1+ay_2}{b+a})[/tex]
Given J = (-4, 11) and K = (8, -1)
[tex]x_1 = -4, y_1 = 11, x_2 = 8 \ and \ y_2 = -1, a = 1, b = 3[/tex]
substituting the given parameters into the line division formula
[tex]P(X, Y) = (\frac{3(-4)+1(8)}{3+1}, \frac{3(11)+(1)(-1)}{3+1})\\\\P(X, Y) = (\frac{-12+8}{4}, \frac{33-1}{4})\\\\P(X, Y) = (\frac{-4}{4}, \frac{32}{4})\\\\P(X, Y) = (-1, 8)[/tex]
Hence the coordinates of P is (-1, 8)
What made the two equivalent fractions 1/2 and 5/10 have the same value
Answer:
1/2 and 5/10 are equivalent because when you reduce 5/10, you get 1/2. Also, whenever we speak, we always say half of 10 is 5. Finally, the factor of 5 made them have an equal value. Therefore, 5/10 and 1/2 are equivalent.
Hope this helps!
Multiply the fraction by 5/5 makes them equivalent fraction.
what is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/2 and 5/10
Now, to make fraction equivalent we have to find the factorizing factor.
As, 1/2 x 5/5= 5/10
Hence, multiply the fraction by 5/5 makes them equivalent fraction.
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what equation has x=5 as a soulution
Answer:
7x-15=20
Step-by-step explanation:
7x-15=20
7x=35
x=5
What is objective ??
Answer:
In math :The objective function is a mathematical term that describes how different variables contribute to a certain value that is being sought to be optimized.
In science: Scientific objectivity is a characteristic of scientific claims, methods and results. It expresses the idea that the claims, methods and results of science are not, or should not be influenced by particular perspectives, value commitments, community bias or personal interests, to name a few relevant factors.
In ela: Being the object or goal of one's efforts or actions. not influenced by personal feelings, interpretations, or prejudice; based on facts; unbiased: an objective opinion. ... being the object of perception or thought; belonging to the object of thought rather than to the thinking subject (opposed to subjective).
Step-by-step explanation:
which of the following are based on the diagram below? (select all answers that are true)
please help me out here!
REASONING A high school band was selling ride tickets for the school fair. On the first day, 250 children’s tickets and 150 adult tickets were sold for a total of $550. On the second day, 180 children’s tickets and 120 adult tickets were sold for a total of $420. What is the price for each child ticket and each adult ticket?
a. Select a system of equations to represent this situation. Let x represent the cost of children’s tickets and y represent the cost of adult tickets.
A)
250x+120y=550 ; 180x+150y=420
B)
180x+150y=420 ; 180x+120y=420
C)
250x+150y=550 ; 180x+120y=420
D)
250x+150y=420 ; 180x+120y=550
The system of equation should be C) 250x+150y=550 ; 180x+120y=420
Important information:On the first day, 250 children’s tickets and 150 adult tickets were sold for a total of $550. On the second day, 180 children’s tickets and 120 adult tickets were sold for a total of $420. Let x represent the cost of children’s tickets and y represent the cost of adult tickets.Equation:
250x+150y=550 ; 180x+120y=420
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Three sides of a triangular field are of lengths 10 m, 20 m and 15 m respectively. Find the cost of fencing the field at the rate of Rs 25 per m.
Answer:
Step-by-step explanation:
Length of fence = Perimeter of triangle
= 10 + 20 + 15
Length of the fence = 45 m
Cost of fencing per meter = Rs. 25
Cost of fencing 45 m = 25 * 45
= Rs. 1125
[tex]\huge{\fbox{\fbox{Given:}}}[/tex]
Lengths of the three sides of triangle are 10m,20m and 15m.
Length of the fence =Perimeter of the ∆
[tex](10 + 20 + 15)m \\ = 45m[/tex][tex]\large{\fbox{\gray{Cost \: of \: fencing \: the \: field=}}}[/tex]
[tex]45 \times 25 = Rs1125[/tex]
▬▬▬▬▬▬▬▬▬▬▬Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in a month, What will be the change in Jennys total allowance? A $7.20 B $5.40 C -$6.40 D -$7.20
Answer:
D -$7.20
Step-by-step explanation:
If she takes (substance) $2.40 every times she forgets to do a chores you have to substance but first you have to multiply because she forgets 3 times 2.40 × 3 is 7.20but since she taking it away it would be negativeso your answer is -$7.20
I hope this helps
$7.20 will be Jennys total allowance.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
Steps to Use Unitary Method
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore.
If she forgets three times in a month.
Thus, Jennys total allowance will be
=2.40 x 3
=$7.20
Hence, $7.20 will be Jennys total allowance.
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HELLPP WILL MARK YOU BRAINLIEST
Answer:
≈ 7.28
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(- 5, - 4) and (x₂, y₂ ) = B(- 3, 3)
AB = [tex]\sqrt{(-3+5)^2+(3+4)^2}[/tex]
= [tex]\sqrt{2^2+7^2}[/tex]
= [tex]\sqrt{4+49}[/tex]
= [tex]\sqrt{53}[/tex] ≈ 7.28 ( to the nearest hundredth )
Find 7x+y when x=4 and y=5. *
Answer:
7x+y, when x+4 and y+5
7(4) + 5=
28+5=
33
Step-by-step explanation:
Hope this helps. :)
Write the sentence as an equation
333 is equal to the product of c and 254
Answer:
254c = 333
Step-by-step explanation:
254c = 333
ana wants to paint her dogs doghouse. she has 4 colors: Green,Maroon,blue and wheat. one color will cover the walls and another color will be us for the trim.(for example, green walls with wheat trim=GW). which of these answers show all the possible color conbination
Answer:
Step-by-step explanation:
Let us take this one by one. One color can pair with three colors.
Green = Maroon, Blue, Wheat = GM, GB, GW
Maroon = Green, Blue, Wheat = MG, MB, MW
Blue = Green, Maroon, Wheat = BG, BM, BW
Wheat = Green, Maroon, Blue = WG, WM, WB
So the combinations are:
GM, GB, GW, MG, MB, MW, BG, BM, BW, WG, WM, WB
Which is letter B.
Answer:
A.
Step-by-step explanation:
Player 1 and player 2 are running laps around a field. Player 1 runs 1 lap every 6 minutes, while player 2 runs 1 lap every 10 minutes. If player 1 and player 2 begin their run at the same time and location on the field, in how many minutes will they meet to begin their next lap together?
They will meet to begin the next lap together
Answer:
30 minutes
Step-by-step explanation:
Think of it as a fractions. Player 1: 6 min./1 lap, Player 2: 10 min./1 lap. So in order to do this you have to find the greatest common factor. The GCF is 30. [learned this 2 yrs ago, im not entirely sure]
-2(4x + -4) - 3x - 2 =34
Answer:
x = -28/11
Step-by-step explanation:
-2(4x + -4) - 3x - 2 =34
Distribute
-8x+8 -3x-2 =34
Combine like terms
-11x +6 = 34
Subtract 6 from each side
-11x+6-6 = 34-6
-11x = 28
Divide each side by -11
-11x/-11 = 28/-11
x = -28/11
Answer:
x= -28/11
Step-by-step explanation:
Multiply -2 by 4x +4
That equals -8x+8
So the equation is now
-8x+8+3x -2 = 34
Now combine like terms
11x+6=34
Subtract 6 from both sides
11x=28
divide by 11 on both sides
x = -28/11
Study the red pre-image and the associated blue dilation image. The center of dilation is (2, 2). What is the scale factor of the dilation?
A.) 12
B.) 8
C.) 3
D.) 1/3
Answer: The Answer is C
I just took the test
Step-by-step explanation:
The scale factor of the dilation is 3. The correct option is C.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
From the given image:-
The initial size in the image is calculated as 11 - 2 = 9
The dilated size in the image is calculated as 5 - 2 = 3
The scale factor will be given as:-
Scale factor = ratio of the initial size to the dilated size
Scale factor = Initial size / Dilated size
Scale factor = 9 / 3 = 3
Therefore, the scale factor of the dilation is 3. The correct option is C.
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Please help me. I have been struggling with prob and stats.
Answer:
Step-by-step explanation:10
4 2/5 divided by 8.5
Answer:
0.51764705
Step-by-step explanation:
Find the area of the triangle defined by the coordinates (-3,-4), (-7,0), and (-3,4).
A)
10 square units
B)
12 square units
14 square units
D)
16 square units
Rachel was playing a game on her computer out of 20 questions she answered 7 correctly at this rate how many questions should rachel answer correctly if she answered a total of 160 questions
Answer:
56
Step-by-step explanation:
(7/20)=(x/160)
160(7/20)=x
x=56
if it is 9:37 what time would it be a hour and a half later
Answer:
it would be 11:07
Step-by-step explanation:
what grade are u in???
How many times greater is the value of of 2 in 2341 than the value 2 in 1234?
While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear
relationship between Fahrenheit and Celsius, but you forget the formula. you remember the freezing point of water is 0°C
or 32°F and its boiling point is 100°C or 212°F
a Write an equation that represents degrees Fahrenheit in terms of degrees Celsius. Let x represent the temperature in degrees Celsius and
let y represent the temperature in degrees Fahrenheit
Since , the relation is linear .
Let equation is y = mx + c .
Putting , x = 0 and y = 32 .
32 = c .......( 1 )
Also , putting x = 100 and y = 212 .
We get :
212 = 100m + c .......( 2 )
Comparing equation 1 and 2 .
100m = 212 - 32
x = 1.8
Therefore , y = 1.8x + 32 .
Hence , this is the required solution .
[tex]y=\dfrac{9}{5}x+32[/tex] represents degrees Fahrenheit in terms of degrees Celsius. where x represent the temperature in degrees Celsius and y represents the temperature in degrees Fahrenheit.
Temperature can be expressed in different units like degrees Celsius and degrees Fahrenheit.
Let us consider two variables x and y as following:
x represent the temperature in degrees Celsius
y represent the temperature in degrees Fahrenheit
Equation depicting relation between variable x and y is
[tex]y-y_1=m(x-x_1)[/tex]...........................1
where, [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the given conditions:
[tex](x_1,y_1)=(0,32) \text{\ and\ }(x_2,y_2)=(100,212)[/tex]
Substituting to calculate the value of m,
[tex]m=\dfrac{212-32}{100-0}\\\\m=\dfrac{180}{100}\\\\m=9/5[/tex]
From equation 1
[tex]y-32=\dfrac{9}{5}(x-0)\\y-32=\dfrac{9}{5}x\\y=\dfrac{9}{5}x+32[/tex]
Thus, an equation that representing degrees Fahrenheit in terms of degrees Celsius is [tex]y=\dfrac{9}{5}x+32[/tex].
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