Answer:
x = 3 y y = 2
Step-by-step explanation:
a) Metodo de reduccion:
Para aplicar este metodo debemos multiplcar por 3 la ecuacion 2 y sumarlas.
[tex]4x-3y=6[/tex]
[tex]5x+y=17[/tex] *3
[tex]4x-3y=6[/tex]
[tex]15x+3y=51[/tex]
-------sumamos las ecuacioens--------
[tex]19x=57[/tex]
[tex]x=3[/tex]
Ahora, remplazamos x en la ecuacion 2.
[tex]5(3)+y=17[/tex]
[tex]y=2[/tex]
b) Igualacion
Debemos despejar x en ambas y luego igualarlas
[tex]x=\frac{6+3y}{4}[/tex]
[tex]x=\frac{17-y}{5}[/tex]
Igualando:
[tex]\frac{6+3y}{4}=\frac{17-y}{5}[/tex]
[tex]5(6+3y)=4(17-y)[/tex]
[tex]19y=8[/tex]
[tex]y=2[/tex]
Ahora, remplazamos y en la ecuacion 2.
[tex]5x+2=17[/tex]
[tex]5x=15[/tex]
[tex]x=3[/tex]
c) Sustitucion
Despejamos x de la primero ecuacion y lo remplazamos en dos.
[tex]x=\frac{6+3y}{4}[/tex]
[tex]5\frac{(6+3y)}{4}+y=17[/tex]
Multiplicamos por 4
[tex]5(6+3y)+4y=68[/tex]
[tex]30+15y+4y=68[/tex]
[tex]30+19y=68[/tex]
[tex]19y=38[/tex]
[tex]y=2[/tex]
Remplazando en 1.
[tex]4x-3(2)=6[/tex]
[tex]4x-6=6[/tex]
[tex]4x=12[/tex]
[tex]x=3[/tex]
2x8-3^2+2? I know the answer but I don’t know how I got to it
Answer:
9 or 27
Step-by-step explanation:
2x8 -3 ^2 + 2
2x8 -9 + 2
16 - 9 + 2
= 9
or
2 x 8 - 3^2 + 2
2 x 8 + 9 + 2
16 + 9 + 2
= 27
Answer:
9 is the answer of your question
Step-by-step explanation:
2×8 -3²+216-9+218-99Hope it is helpful to you
plzzz donttttt ignoreeeee
Step 1: Find the area of the whole circle
A = pi x r^2
A = pi x 12^2
A = 144pi units^2
Step 2: Use the given angle to find only a part of the area
---The whole circle is 360 degrees, we only want 45 degrees.
45/360 x 144pi
1.5pi
4.71 units^2
Hope this helps!
Answer:
E. None of these
Step-by-step explanation:
Sector Area = r² (α / 2)
R = 12
a (angle) = 45
12^2 = 144
45/2 = 22.5
144 x 22.5 = 3240
This is not one of the options therefore it is E. None of these
Pls let me know if incorrect
On a map of South Asia, Nepal looks approximately like a rectangle
measuring 8.3 cm by 2.0 cm. The map scale is listed as 1:9,485,000. What is
the approximate real-world area of Nepal in square kilometers?
Answer:
VK for up ureueusidifdisodaaiwiwu
What are the domain and range of the function represented by the set of ordered pairs?{(–17, 18), (–10, –15), (0, 0), (3, –1)}
Answer:
See below.
Step-by-step explanation:
Here's an easy way to remember: Domain and Range are in alphabetical order, x and y are in alphabetical order.
The domain is the set of all x coordinates (the first number in each pair).
The range is the set of all y coordinates (the second number in each pair).
Domain: {-17, -10, 0, 3}
Range: {18, -15, 0, -1}
A right triangle is shown below.
B
c
A
b
Which of the following equals sin A?
Answer:
B
Step-by-step explanation:
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{a}{c}[/tex] → B
Which constant number would be an to both sides of the equation rn order to complete the square for the quadratic function 1=x^2-6x
Answer:
k = 9
Step-by-step explanation:
Given
[tex]1= x^2 - 6x[/tex]
Required
The perfect number
The coefficient c of x in the above equation is:
[tex]c = -6[/tex]
Divide by 2
[tex]c/2 = -3[/tex]
Square both sides
[tex](c/2)^2 = 9[/tex]
Hence, the constant to add is:
[tex]k = 9[/tex]
A cube of side length s sits inside a sphere of radius r so that the vertices of the cube sit on the sphere. Find the ratio r : s
Answer:
r : s is √3 : 2
Step-by-step explanation:
The given parameter are;
A cube is inscribed in a sphere
The side length of the cube = s
The radius of the sphere = r
The ratio r : e = Required
It is noted that for a cube inscribed in a sphere, we have;
The diameter of the sphere = The diagonal of the cube
The diameter of the sphere, D = 2 × The radius = 2·r
The square of the diagonal of the cube, d² = s² + s² + s² = 3·s²
∴ The diagonal of the cube, d = (√3)·s
From the relationship between the cube and the sphere in which it is inscribed, (The diameter of the sphere = The diagonal of the cube), we have;
2·r = (√3)·s
∴ r/s = (√3)/2
r : s = √3 : 2.
kindly would like help please :,)
Answer:
B. 57
Step-by-step explanation:
Theorem:
In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.
y + y = 114
2y = 114
y = 57
the area of right angled triangle with its legs are 6cm and 8cm is equal to
Answer:
A = 24 cm^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 (6)*8
A = 24 cm^2
Helen determined she walks about 1,800 steps per 5 of a mile. How many steps did she take if she walked 5 miles?
Answer: Most likely 6,750 steps
What is the value of k?
Answer:
k = 2
Step-by-step explanation:
[tex]\frac{8}{4} =\frac{4}{k}[/tex]
8k = 16
k = 2
I need help finding the equation.
Answer:
[tex]y=2^{x}\ -3[/tex]
Step-by-step explanation:
What is the solution for x in the equation?
-4 + 5x − 7 = 10 + 3x − 2x
A.
x=4/13
B.
x=13/4
C.
x=21/4
D.
x=4/21
Answer:
C. x = 21/4Step-by-step explanation:
-4 + 5x − 7 = 10 + 3x − 2x
=> 5x + 2x - 3x = 10 + 7 + 4
=> 4x = 21
=> x = 21/4 (Ans)
Answer:
d. x = 4/21
Step-by-step explanation:
-4 + 5x − 7 = 10 + 3x − 2x
5x-11 = x+10
4x = 21
x = 4/21
hope it helps :)
please mark brainliest!
how many times do 6x-4y=2 and -2y+3x=1
Answer:
Infinite Solutions
Step-by-step explanation:
If you graph both lines (shown below), you will see that both lines given are overlapping each other. This means that their are an infinite amount of solutions.
Best of Luck!
Use the number line to show and explain why 4 over 10 divided by 2 and 1 over 2 times 4 over 10 both equal 2 over 10
Answer:
Please find the graph in the attached file.
Step-by-step explanation:
[tex]\to \frac{\frac{4}{10}}{2} \ and \ \frac{1}{2} \times \frac{4}{10} =\frac{2}{10}\\\\\to \frac{0.4}{2} \ and \ 0.5 \times 0.4 =0.2\\\\\to 0.2 \ and \ 0.2 =0.2\\\\ \to \frac{2}{10} \ and \ \frac{2}{10} = \frac{2}{10}\\\\[/tex]
Help ASAP please and thank you
it x the first one that the cause it going the other way
Which system of linear inequalities is graphed?
Answer:
It is the first set of linear inequalities that is correct.
Step-by-step explanation:
the question is in the picture
Answer:
Hello!
2pi R
2*3,14 *1 = 6,28
6,28/4 => 1,57
what is angle G and H? please
Answer:
below
Step-by-step explanation:
that is the procedure above
Can you answer this math homework? Please!
Answer:
1. (2.2, -1.35) and (2.2, -1.4)
2. y = 8x - 7
3. infinite number of solutions
4. (2.2,-1.4) (2.2,-1.35)
5. 6
6. (1.33,1)
Step-by-step explanation:
Juan spent $20 of his month's babysitting earnings. If he now has $140 left of his babysitting money, what percent of his original earnings did he spend?
Answer:
12.5 % was spent
Step-by-step explanation:
How much did he start with
20 + 140 = 160
He spent 20
20/160 = 1/8
.125
12.5 % was spent
Answer:
12.5%
Step-by-step explanation
ok so
20/160(the og value) is the fraction version, to find the percent divide the numerator by teh denominator which gets you 0.125 x 100%= 12.5%
Jin bought a pair of pants that cost $47.83. The sale tax in her state is 7.43 % what is the total cost of the pants ?
(show your work)
Answer:
$51.38
Step-by-step explanation:
7.43% of 47.83=(rounded to the nearest hundredth) 3.55
7.43/100*x/47.83
x=3.55
because we are solving for x
we can also cross check by taking out the percentage
x/100*3.55/47.83
47.83x=355
x=7.42212000836
which is about 7.43%
47.83+3.55= 51.38
I NEED HELP ASAP
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or
negative correlation, describe its meaning in the situation.
Strawberries Picked
100
90
80
70
60
Quarts Picked
so
40
30
20
10
7 8 9
10
Time (hours)
Answer:
This is a negative correlation
Step-by-step explanation:
The graph tells us that as time passes on, less strawberries/Quarts are picked.
I just need the answer to this, you don't need to show your work :)
Answer: [tex]g(x) = -\frac{4}{x+5}+4[/tex]
===========================================================
Explanation:
We start with y = 1/x
Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.
Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.
Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.
Lastly, we tack on a +4 to shift the graph up 4 units.
The final result is [tex]g(x) = -\frac{4}{x+5}+4[/tex]
You just decided to open a savings account and went to the bank and made an initial deposit. You decide to save another set amount each month. Without any interest being paid, the equation =20+50
represents the amount of money,
y
, in your savings account after
m
months. Select what the slope and y-intercept represent in this problem.
(Choose 2)
Answer:
Options (1) and (4)
Step-by-step explanation:
Given equation for the deposit in the saving account is,
y = 20x + 50
Here, y = Amount of money in the account
20 = money added in the account every month
50 = Initial deposit
By comparing this equation with the slope-intercept form of the equation of a line,
y = mx + b
Here, slope m = money added in the account every month
And b = y-intercept
Therefore, Options (1) and (4) will be the answer.
ASAP please help meeeeeeeeeeee
Answer:
-17/20
Step-by-step explanation:
Answer:
-17/20
Step-by-step explanation:
-1/4 equals -1/4 and +-3/5 equals -3/5
-1/4 -3/5 equals -5/20 -12/20
-17/20 is your answer
Four times a number less 7 is equal to 12 more than two times that number
Answer:
the number you're looking for is 9.5
Step-by-step explanation:
4x-7 = 12+2x
2x-7 = 12
2x = 19
x = 9.5
A line passes through the point (8,-9) and has a slope of -5/2. Write an equation in slope intercept form for this line.
Answer:
y = - [tex]\frac{5}{2}[/tex] x + 11
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute (8, - 9) into the partial equation
- 9 = - 20 + c ⇒ c = - 9 + 20 = 11
y = - [tex]\frac{5}{2}[/tex] x + 11 ← equation of line
what inequalities are shown by this graph?
Answer:
the answer is going to be
x>27
Answer:
[tex]\sf{[27,\infty) }[/tex] is the inequality
There was a scale drawing of a rectangular garden you plan to build in your backyard. The drawing shows a width of 5 inches by 8 inches long. The actual length of the garden must be 24feet long. What is the width of the actual garden?
What is the area of the garden?
Answer:
15 feet width of actual garden
360 feet^2 is area
Step-by-step explanation:
Scale in drawing:
width : length
5 : 8
Actual Meausrements:
x: 24
Actual Width = 5:8
x : 24
8x = 24 x 5
8x = 120
120/8 = 15
Area of garden= lxw
15 x 24
= 360 feet^2
Answer from Gauthmath