The values of the variable x, y and z are x = 4; y = 3 and z = 25.
What is the method of substitution?There are two approaches to resolving simultaneous linear equations: graphical methods and algebraic methods. The algebraic method comprises the substitution method as one of its categories.The algebraic method for solving simultaneous linear equations is the substitution method. The amount of one variable through one equation is interchanged in the other equation, as the name implies. In this manner, a pair of linear equations is transformed into a single linear equation only with one variable, that can then be solved easily.Now, as per the given question, the three equations are given below;
x = 2y - 2 .......eq 1
z = 5x + 3y - 4 .........eq 2
3y = 9 ...............eq 3
From equation , calculate y.
3y = 9
y = 9/3 = 3.
Substitute the value of y in eq 1.
x = 2y - 2
x = 2×3 - 2
x = 6 - 2
x = 4
Now, put the value of x and y in equation 2.
z = 5x + 3y - 4
z = 5×4 + 3×3 - 4
z = 20 + 9 - 4
z = 25
Thus, the values of the three variables are;
x = 4; y = 3 and z = 25.
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Which is not a pair of congruent angels in the diagram below
The angles D and F are not congruent angles.
According to the statement
We have to find that the not a pair of congruent angles.
So, For this purpose, we know that the
Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles
From the given information:
In this diagram we have to given the four angles which are E,F,G,D.
And out of these angles
The angles E and G are the congruent angles and the angles D and F are not congruent because according to the definition these angles are not follow the conditions of the congruent angles.
So, The angles D and F are not congruent angles.
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43. What is the momentum of a baseball with a mass of 1.5 kg being thrown at a velocity of 90 m/s towards the hitter? (2
pts)
Answer:
points
Step-by-step explanation:
Brainliest, please explain how you got your answer, thank you
Multiply. What is the value of the first partial product?
26 × 107
6−3+4x+1= no solution one
solution
Answer:
The answer is 4x+(any number other than 4)
Step-by-step explanation:
If there are no solutions, then the equation will be equal to 4x + (any number other than 4).
Examples: 4x + 1, 4x + 2, 4x + 3
a₁ is the first term of a sequence, r is a common ratio, and d is a common difference. Write the first five terms. a₁=2, r=-2
The first five terms of a geometric sequence with first term 2 and common ratio (-2) are 2, -4, 8, -16, 32
The given parameters:
a₁ = 2, r = -2
r is the common ratio, hence, the given sequence is a geometric sequence.
In a geometric sequence, the formula for the nth term is given by:
a(n) = a(1) . rⁿ⁻¹
We can also find the terms using recursive formula. The nth term of a geometric sequence is equal to the (n-1)th term times the common ratio, r. Mathematically,
a(n) = a(n -1) . r
Let us start from n = 1
a(1) = 2 (given)
a(2) = a(1) . r = 2 . (-2) = -4
a(3) = a(2) . r = -4 . (-2) = 8
a(4) = a(3) . r = 8 . (-2) = -16
a(5) = a(4) . r = -16 . (-2) = 32
Thus, the first five terms are 2, -4, 8, -16, 32
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I need to find the angle measure and am not sure how to
Answer:
angle TEA = 58 (which is 29 times 2) degrees
angle TEF = 37 (which is 74 divided by two 2) degrees
Step-by-step explanation:
The angle bisector divides a given angle into two equal parts
There are about
3 * 10^11
stars in our galaxy and about 100 billion galaxies in the observable universe. Suppose every galaxy has as many stars as ours. How many stars are in the observable universe? Write in scientific notation.
The number of stars in 100 billion galaxies in scientific notation is
3 x [tex]10^{22}[/tex].
What is scientific notation?Scientific Notation is the expression of a number in the form a x [tex]10^{b}[/tex]. where a is an integer such that 1 ≤ |a| < 10 and b is an integer too.
We have,
Number of stars in our galaxy = 3 x [tex]10^{11}[/tex]
Number of galaxies in the observable universe = 100 billion.
1 billion = 1,000,000,000 = [tex]10^{9}[/tex]
Number of stars in 100 billion galaxies:
= 3 x [tex]10^{11}[/tex] x 100 x [tex]10^{9}[/tex]
= 3 x [tex]10^{11 + 2 + 9}[/tex]
= 3 x [tex]10^{22}[/tex]
Thus the number of stars in 100 billion galaxies in scientific notation is
3 x [tex]10^{22}[/tex].
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the bearing of p from q is 270degree what is the bearing of q from p?
Answer: 302 degrees
Step-by-step explanation:
Service
Restaurant
Florist
Cab Fare
Dog
Groomer
Cost Gratuity Tax
$40
18%
$94
$32
12%
20%
8.5%
12%
0%
$62 26% 5.75%
Approximate the amount of tip for the florist by
rounding the cost and the percent gratuity to the
nearest ten.
$
Based on the percent gratuity to the florist and the cost being rounded to the nearest ten, the amount of the tip is $9
What is the tip?When the cost for the florist is rounded to the nearest 10, it goes from $94 to $90.
When the percentage gratuity is rounded to the nearest ten, it goes from 12% to 10%.
The approximate tip is:
= 10% x 90
= $9
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Use the spinner to find following probability. The spinner is spun again if it stops on a line.
P (pointer landing on blue)
The probability that the point of the spinner land on blue is 8.34%.
What is a pie chart?A pie chart is a type of chart that shows data in a circular graph.
We recognise that the pie's total value is always 100%. It is additionally recognized that a circle has a circumference of 360°. As a result, the sum of all the data equals 360°. Depending on these, there seem to be two main pie chart formulas:
We use the following formula to calculate a percentage of the data set: (Frequency ÷ Total Frequency) × 100We use the following formula to convert the data to degrees: (Given Data ÷ Total value of Data) × 360°On complete rotation of circle forms 360 degrees at the centre.
The total percentage of the all the colours is 100%.
Divide the value of blue by 3.6 because 360 degrees /100 percent = 3.6.
The total percentage of blue shown by the pointer of spinner is 30%.
Probability P (pointer landing on blue) = 30/3.6
Probability P (pointer landing on blue) = 8.333... = 8.4 (approx.)
Therefore, the probability that the pointer lands on the blue is 8.4.
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Which expressions are equivalent to 7^-2 x 7^6
Step-by-step explanation:
first find the answer of 7^2 and swap it then it will be 1 over 49 multiply with 1 over 7^6
Use the table to determine whether the relationship is proportional.
If so, write an equation for the relationship. represents.
The equation of the proportional relationship in the table attached below is: y = 40x.
How to Determine the Equation of a Proportional Relationship?Equation of a proportional relation is modelled as, y = kx. k = y/x, using any pairs of values for a given table. If the table is represents a proportional relationship, y/x for every pair of values would be the same.
Distance in miles = y
Time in hours = x
k = y/x = 80/2 = 120/3 = 160/4 = 40.
The relation represented by the table is proportional because y/x is the same for all pairs of values.
Substitute k = 40 into y = kx
y = 40x.
Thus, the equation of the proportional relationship in the table attached below is: y = 40x.
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What is the average speed of an
automobile trip of 275 miles that
began at 7:30 in the morning and
ended at 12:30 in the afternoon
Answer:
0.916...miles per hour
Step-by-step explanation:
speed = distance/ time
12:30 - 7:30 = 5hours
275/ 5x60
275/300
=0.9166666667 miles per hour
( you can round this depending on whether it's to the nearest mile or 3 sf or something)
hope this works :)
EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Hannah needs to slice the equation for x
7x-11=3
Which would be the first step Hannah could make to slove the equation
View photo!
Answer:
d. add 11 to both sides of the equation
Step-by-step explanation:
7x - 11 = 3
answer i cant figure this out
Answer:
I would say it's 8 because if the y=8 so if 8 is there you times it by 2 to get 16 so now you get 2 from x the exponent is 4 so 4x2 is 8 so 16-8=8 if that's wrong it's probable -8 because I haven't done exponents in a long time
You deposit $70 in a savings account that pays an annual interest rate
of 3%. How much simple interest would you earn in 2.5 years?
Solve the right triangle.
Answer:
Step-by-step explanation:
awnser is a
b. Write ³√81 in the form 3^n
[tex]Answer:\ \sqrt[3]{81} =3^\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\\sqrt[3]{81}=(81)^\frac{1}{3} \\\\\sqrt[3]{81}=(3^4)^\frac{1}{3} \\\\\sqrt[3]{81} =3^{\frac{4}{3}\\[/tex]
F(x)=|x|+5; horizontal shrink of factor 3
the horizontally shrunk function by a scale factor K = 3 is modeled by:
g(x) = |3*x| + 5
How to apply a horizontal shrink to a function?
For any function f(x), we define a horizontal shrink or compression by a scale factor K as:
g(x) = f(K*x)
In this case the function is:
f(x) = |x| + 5
And the scale factor is K = 3.
Then we can write the compression as:
g(x) = f(3*x)
Replacing the actual function we will get:
g(x) = f(3*x) = |3*x| + 5
Then the horizontally shrunk function by a scale factor K = 3 is modeled by:
g(x) = |3*x| + 5
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Write an equation of the line in point-slope form through each pair of points. (0,0) and (-4,7)
The general form of a linear equation is y - y1 = m(x - x1). The point-slope form is y = - 1.75x.
What is point-slope form?The general form of a linear equation is y - y1 = m(x - x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).
Given: (x1, y1) = (0, 0) and (x2, y2) = (-4, 7)
The point-slope form is given by,
y - y1 = m(x - x1)
m = (y2 - y1)/(x2 - x1)
substitute the values in the above equation, we get
m = (7- 0)/(-4 - 0) = -7/4
The value of m = -7/4.
y = -1.75x
Therefore, the point-slope form is y = - 1.75x
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Find the missing angle
Answer:
The answer is in the provided screenshot!!!
I hope this helps! Please let me know if you have any questions!!!
If the midpoint of two points is 2,5 and one of the endpoints is 6,3, what is the y-coordinate of the other endpoint
Step-by-step explanation:
Let the given midpoint is md which is: md (2, 5) and let say one end point is E (6, 3) and the other end point P( x, y).
So, by using midpoint formula we have,
[tex](2 \: \: 5) \: = (\frac{6 + x}{2} ) \: \: . \: (\frac{3 + y}{2} ) \\ 6 + x = 4 \\ \times = - 2 \\ and \: \: 3 + y = 10 \\ y = 7[/tex]
so the y - coordinate of the other end is y = 7
What are the numbers 1.9, 5/4,-1.2 , and √3 in order from greatest to least?
1.9 > √3 > 5/4 > -1.2 are in the order from no. greatest to least.
1.9 > √3 = 1.732 > 5/4 = 1.25 > -1.2
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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Identify all values of x that make the equation true
Answer:
[tex]{ \rm{ \frac{6 {x}^{2} + 18x }{2 {x}^{3} } = \frac{5}{x} }} \\ \\ { \rm{ \frac{3x + 9}{ {x}^{2} } = \frac{5}{x} }} \\ \\ { \rm{x(3x + 9) = 5 {x}^{2} }} \\ { \rm{3 {x}^{2} + 9x = 5 {x}^{2} }} \\ { \rm{3x + 9 = 5x}} \\ { \rm{2x = 9}} \\ { \rm{x = 4.5}}[/tex]
solve 3(2x-5)=9(10-x)
Answer:
x=7
Step-by-step explanation:
A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° , what is the new wind direction?
A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° southeast is the new wind direction.
A direction of 270 degrees would indicate a wind blowing in from the west.How can a weathervane be used to detect wind?
An arrow and a tail make up the weathervane. The arrow points in the direction of where the wind is coming from, and the tail fin catches the wind. A north wind is present if the arrow on the weathervane is pointing toward the north.What does a weathervane with a wind vane display?
A device used to indicate the direction of the wind is a wind vane, weather vane, or weathercock. It is frequently utilized as an architectural adornment at a building's highest point. The Old English word fana, which means "flag," is where the word vane originates.Learn more about weathervane
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Find the Missing Angle *
Answer:
53degree
82+45=127
We know
There is 180 degree in the angle
For the missing value
180-127= 53
Answer:
Answer is in the attached screenshot! :)
Step-by-step explanation:
Please let me know if you have any questions! :)
When you adjust one number and change another number in the problem to make a computation easier you use ?
To make a computation easier, you adjust one number and alter another number in the problem is called compensation.
What is termed as the compensation strategy?Compensation is a multi-digit addition mental math technique that entails adjusting one of the operand to make the equation simpler to solve.
Some students might choose this strategy over left-to-right addition or even the strategy of splitting up the second number.Compensation is an effective method for making calculations easier to solve. More likely, it encourages learners to think about numbers in a variety of ways.Some examples of compensation are-
For example; 29 + 96We can alter the value of 29 to 30 by adding 1; as it is simpler to sum 30.Then, 30 + 96 = 126Now, the added value is then subtracted from obtained addition.126 - 1 = 125Hence, 29 + 96 = 125Thus, this method is used in solving with simpler form.
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Por favor help me . I’m struggling on this specific topic and need to know how to resolve it. Thanks in advance
Using the graph of h we get (a) Value of function h at x=5 is 8
(b) Limit of h(x) at x=5 does not exist
(c) Value of function h at x=7 is 4
(d) Limit of h(x) at x=7 does not exist
(e)Limit of h(x) at x=8 is 5
What is limit of a function how to find limit using graph?Limit : Limit is the value that a function output approaches as the input approaches to a certain value.
For any function g(x) , [tex]\lim_{x \to \22} g(x)[/tex] refers to the value that the g(x) approaches as the x approaches to 2 from either left hand side or from right hand side
From any graph we can easily see that to what value g(x)=y on the curve is approaching when the x is approaching to some value on x axis and if the graph is splitting into different functions on the value of x where x is approaching then the limit does not exist for that value of x.
For given graph h(x)
We can see value of value of function h at x=5 is 8 and value of function h at x=7 is 4
As the graph of h(x) has a hole in the graph when x=5, breaking its function into two different function on x=5 then or limit of h(x) at x=5 does not exist
As the graph of h(x) has a hole in the graph when x=7, breaking its function into two different function on x=7 then or limit of h(x) at x=7 does not exist
As the graph is not breaking at x=8or we can say that graph of g(x)is approaching to 5 as x approaches to 8 then limit of h(x) at x=8 is equal to g(1) that is 5
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Phillip has an 78% average on 4 tests. What does he need on his next test to raise his average to 82%?
Answer:
Below in bold.
Step-by-step explanation:
His total marks for the 4 tests
= 4*78
= 312,
For an average of 82% over 5 tests the total will have to be
82*5 = 410.
So, he needs to score 410 - 312
= 98% in his last test.
