The solution of this system of linear equations is x=3, y=-5.
To solve this system of linear equations, you can use various methods such as substitution, elimination, or matrices. Here is one way to solve using the substitution method:
From equation 2, we can find the value of x in terms of y: x = (11+y)/2Substitute this value of x into equations 1 and 3:4((11+y)/2) + 8y = 24
3((11+y)/2) + 2y = 15
Solve for y in the first equation: 8y = 24 - 44 = -20y = -5
Substitute this value of y back into equation 2 to find x:x = (11 + (-5))/2
x = 3
Substitute the values of x and y back into the original equations to check if they are correct:4(3) + 8(-5) = 24
3(3) + 2(-5) = 15
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The question is -
Solving a system of linear equations in two variables,
4x + 8y = 242x - y = 113x + 2y = 15Two communication mask 2km apart and directly north and south of each other. Ubi 's home is 500 m from one and directly east. How far is the second from Ubi's home
Answer: [tex]2061.55\ m[/tex]
Step-by-step explanation:
Given
The two communication mask are 2 km apart
Ubi's home is 500 m east of one of the mask
Suppose its distance from the other's is x
From the figure, we can write
[tex]\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km[/tex]
5. The value of a piece of land is growing at a rate of 2.5% annually. If the land was worth $99,000 when it was purchased, which equation could be used to determine the value of the property, y, x years after it was purchased? a) =99,000+2.5 c) =99,000(1.025) b) =99,000(0.025) d) =99,000(2.5)
Answer:
99,000.00 × 2.5 . answer d
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Answer: Shanghai
Step-by-step explanation:
i hope this helps!
What does he need to get on test number 4 to do that?
Answer:
86%
Step-by-step explanation:
well we know that his average score is 78 percent. so we need to use 78 with all the tests he took. so 78+78+78 is equal to 234. i tested each number. 234+86 is equal to 320. 320/4 (4 for the number of tests he took) is 80. so he needs a test score of at least 86 percent to raise his average score to 80% he could get a higher score but remember, he is trying to reach 80%
How do you write 6.83 in words?
Answer:
six point eighty three
Step-by-step explanation:
V = 5x + 2y
x= 3
y=-4
a) Work out the value of V.
I
b) Expand 3p(p + 5)
c) Solve 4(k - 6) = 20
Match each trig function with its corresponding trigonometric ratio.
Find Sin A, Sin B, Cos A, Cos B, Tan A, Tan B
The trigonometric ratios for the triangle in this problem are given as follows:
sin(A) = a/c.cos(A) = b/c.tan(A) = a/b.sin(B) = b/c.cos(B) = a/c.tan(B) = b/a.What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The sides are connect by the right angle, of 90 degrees, while the hypotenuse is the straight line segment that connects the endpoints of each of the sides.
Then the trigonometric ratios presented on the bullet points are used for angles A and B in this problem.
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PLEASE! I need the prime-power factorization for these!!!
Answer:
26 is 2×13
27 is 3³
18 is 2×3²
hope it helps :)
Answer:
25= 5 × 5 or 5
30= 2 x 3 x 5
26= 1, 2, 13 and 26.
27= 3×3×3 or 3(3)
18= 2 × 3 × 3
Step-by-step explanation:
Please help
100
75
50
25
Answer:
im sorry but can you post like something to go with it cause i dont get it like you only put numbers
Step-by-step explanation:
Find the measure of x
7. The terminal side of theta, and angle in standard position, intersects the unit circle at
P(-) What is the value of csc?
Complete question is;
The terminal side of angle θ in standard position, intersects the unit circle at P(-10/26, -24/26). What is the value of csc θ?
Answer:
csc θ = -13/12
Step-by-step explanation:
We know that in a unit circle;
(x, y) = (cos θ, sin θ)
Since the the terminal sides intersects P at the coordinates P(-10/26, -24/26), we can say that;
cos θ = -10/26
sin θ = -24/26
Now we want to find csc θ.
From trigonometric ratios, csc θ = 1/sin θ
Thus;
csc θ = 1/(-24/26)
csc θ = -26/24
csc θ = -13/12
Which point has coordinates ( 1, 4)?
Please help asap !! I will give 20 points
Answer:
T
Step-by-step explanation:
First move to 1 then go up 4 ez claps bois
What is the reference angle for -252?
Answer:
Hi there, the reference angle for -252 is 72°
When it comes to reference angle it has to be less than 90° on either quadrants.
Hope this helped :)
For 1-4, write "yes" or "no" to describe whether or not the line is a good trend line. Explain.
On solving the provided question we can say that - and a lines need only two points to drawn; so, yes we can draw a line
what is a line?A line is an endlessly long object without breadth, depth, or curvature in geometry. Consequently, a line is a one-dimensional entity, while it may also exist in two-, three-, and more-dimensional regions. In common use, a line segment with two points serving as its ends is referred to as a line. A line is a single-dimensional, straight form with no thickness that can go on forever in both directions. To indicate that a line has no "wobble" anywhere along its length, it is frequently referred to as a straight line or an ancient accurate line (Casey 1893)
here we have,
2 points
(1,5) and (4,5)
and a lines need only two points to drawn,
so, yes we can draw a line
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How do you use log and e?
The value of e (exponential) is approximately equal to 2.718281 which is rounded to 6 digits. The exponential constant frequently happens in mathematics every time the exponential functions are involved.
Log mention to a logarithm to the base 10. Ln mentions a logarithm to the base e. This is also known as a common logarithm. This is also known as a natural logarithm.
The first common log is represented as log 10 (x) The second natural log is represented as log e (x) The exponent form of the common logarithm is 10 x =y.
An exponential function is a function in which a number or data is raised to the power of another number or a variable.
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Need help ASAP I will give branliest NO BOTS OR LINKS!!!!
60 degrees, 60 degrees
find x
please helppp
Answer:
30=x
Step-by-step explanation:
3x -y=-2y solve for y pls help me
Answer:
-x
Step-by-step explanation:
3x - y = -2y
add y to both sides
3x = -3y
divide both sides by -3
-x = y
why is 15.6 divided by 13.12 the same as 1560 divided by 312
Answer:
Step-by-step explanation:
It's like this
4 / 2 is the same as 8 / 4. It's equivalent to each other.
Answer:
because they were both multiplied by ten, so they stay proportanally the same
Step-by-step explanation:
any time you multiply to numbers, if you multiply them both by the same number, the proportion of the numbers will be the same
HURRY HURRY WHAT IS THE SOLUTION TO THIS INEQUALITY
6.9
Answer: no question=no answer
Step-by-step explanation:
What range of values is not a possible scale factor (k)?
A) k 1
D) all are possible
A range of values which is not a possible for scale factor (k): k = 0
We know that the scale factor is the number (also called the conversion factor) which is used to change the size of a figure without changing its shape.
It is used to expand or compress the size of an object.
The scale factor formula is:
Scale factor = Dimensions of the transformed shape ÷ Dimensions of the original shape
If the scale factor k > 1, the object is enlarged.
If the scale factor is 0< k <1, the object is compressed.
If the scale factor is k = 1, the shape of object remains the same.
And the scale factor cannot be zero.
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What is a formula for the nth term of the given sequence?
20,50, 125...
Answer:
a(n) = 20*2.5^(n - 1)
Step-by-step explanation:
Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50. Thus the common factor is 2.5. The formula for the nth term is
a(n) = a(1)*r^(n - 1) => a(n) = 20*2.5^(n - 1)
Evaluate each expression when a = -4 and b = 3
1.) ab
2.) 2a + 3b
2.) 2(a - b)
1) -12
ab is a times b. We plug in the numbers (-4)*(3) which equals -12.
2) 1
We plug in -4 for a, and 3 for b into the equation.
We get 2(-4) + 3(3)
2*-4 is -8. 3*3 is 9. We add them both, and -8+9 equals 1.
3) -14
We plug in -4 for a, and 3 for b into the equation.
2(-4-3)
-4-3 is -7. -7*2 equals -14.
Which of the following are alternate interior angles?
Select all that apply.
25 and 24
26 and 25
1/2
5/6
4/38/7
22 and 28
28 and 21
23 and 25
Select the values that make the inequality a > − 6 true
Answer:
a ≥ -5
Step-by-step explanation:
Think like this is a number line
--------------------------------------------------------------------------------------------------------
-6 -5 -4 -3 -2 -1 0 1 2 3 4
and all the inequality says is for it to be bigger than -6 so than is -5, -4, -3, -2 -1, 0,1 and so on. So the answer is a>-6 or a≥-5
Find the equation of a line that is parallel to the line x= 19 and contains the
point (-4,7)
Answer:
x = - 4
Step-by-step explanation:
x = 19 is a vertical line parallel to the y- axis
A line parallel to it has the equation
x = c
where c is the value of the x- coordinates the line passes through
The line passes through (- 4, 7 ) with x- coordinate - 4 , then
x = - 4 ← equation of parallel line
Amanda's class voted on whether or not to do science fair projects in groups. 25% of the 20 votes were in favor of working in groups. How many votes were in favor?
Answer:5 votes
Step-by-step explanation:
25% of 20=
(25:100)*20=
(25*20):100=
500:100=5
Please hurry its timed and i really need help!
Hello!:
Let's take this problem in steps:
[tex]sinx-\sqrt{3-3sin^2(x)}=0\\\\\text{We know that } sin^2(x) + cos^2(x)=1 \text{ and that } cos^2x=1-sin^2(x)\\\\sin(x)-\sqrt{3(1-sin^2(x))}=0\\\\sin(x)-\sqrt{3*cos^2(x)}=0\\\\sin(x)-\sqrt{3}*cos(x)=0[/tex]
Now we need to find the value of sin(x) and cos(x) where the value becomes zero:
--> and it so happens to be:
[tex]sin(30)=\dfrac{1}{2} \\\\cos(120)=\dfrac{\sqrt{3}}{2}[/tex]
Thus:
[tex]sin(30)-\sqrt{3}*cos(120)=0\\\\\dfrac{1}{2} -\sqrt{3}*\dfrac{\sqrt{3} }{2} =0\\\\\\\dfrac{1}{2} -\dfrac{1}{2} =0\\\\0=0[/tex]
Answer: (B)
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A certain television is advertised as a 38-inch TV (the diagonal length). If the width of the TV is 29 inches, how tall is the TV? Round to the nearest tenth of an inch.
Answer:
38^2 - 29^2 = 603 ---> height = sqrt(603) = 24.6 inches
multiply ( y + 10) ( y - 10)
Answer:
y² - 100
Step-by-step explanation:
(y + 10)(y - 10)
Each term in the second factor is multiplied by each term in the first factor, that is
y(y - 10) + 10(y - 10) ← distribute parenthesis
= y² - 10y + 10y - 100 ← collect like terms
= y² - 100