Answer:
(4, 3 ) and (1.5, 8 )
Step-by-step explanation:
Given the 2 equations
2x + y = 11 → (1)
xy = 12 → (2)
Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.
y = 11 - 2x → (3)
Substitute y = 11 - 2x into (2
x(11 - 2x) = 12 , that is
11x - 2x² = 12 ( subtract 12 from both sides )
11x - 2x² - 12 = 0
2x² - 11x + 12 = 0 ← in standard form
(x - 4)(2x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5
Substitute these values into (3) for corresponding values of y
x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )
x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )
kit says to pour 4 fluid ounces of juice into each bag. How many ice pop bags can you fill with 1 quart of juice?
Answer:
8 bags
Step-by-step explanation:
It is given that, a make-your-own ice pop kit says to pour 4 fluid ounces of juice into each bag.
We need to find the number of ice pop bags we can fill with 1 quart of juice.
We know that,
1 quart = 32 ounces
We have 32 ounces of juice and each bag contains 4 fluid ounces.
Therefore, 8 ice pop bags we can fill with 1 quart of juice.
m/_GFN = 4x+10, m/_NFE= 14x+3, and m/_ GFE=157°. Find m/_NFE. PLEASE EXPLAIN Thoroughly!!
Answer:
4x+10+14x+3=157
18x+13=157
18x=157-13
18x = 144
X = 144 /18
X= 8
NFE= 14x+3
= 14(8)+3
=112+3
=115
Step-by-step explanation:
A radio station sends out radio waves in all directions from a tower at the center of the circle of broadcast range. If the circle has a diameter of 98 mi, how large an area is reached? Use 3.14.
Answer:
aku ga tau Inggris AAAAAA pak yuk
The waves will cover a circular area of 7542.96 miles.
What is the area of the circle?The circle is defined as the locus of the point traces around a fixed point called the center and is equidistant from the outer trace. The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that a radio station sends out radio waves in all directions from a tower at the center of the circle of broadcast range. The circle has a diameter of 98 miles.
The area of a circle is calculated by the formula below:-
Area = ( π / 4 ) d²
Area = ( π / 4 ) ( 98 )²
Area = 7542.96 square miles
Therefore, the waves will cover a circular area of 7542.96 miles.
To know more about an area follow
https://brainly.com/question/14068861
#SPJ2
A
B
How many degrees must
Figure A be rotated
counterclockwise around
the origin in order to line
up with Figure B?
A. 90
B. 180
C. 270
D. 360
Answer:
[tex]\boxed{Hiya!}[/tex]
[tex]\text{My Answer would be A. 90}[/tex]
Step-by-step explanation:
If you Look at the shape closely We can see that it is a right triangle (Figure A)
and Figure B is turned upside down. So if we turn the right angle counterclock wise 90° We would end up with (Figure A) looking the same as (Figure B)
Help plz i’ll give brainliest
Answer:
A is the correct answer.
Step-by-step explanation:
The translation is (-3, 6). this means you move each coordinate left three and up 6.
You could also subtract 3 from each x-coordinate and add 6 to each y-coordinate.
Find x, PLEASE HELP!
25 points in it for you, brainliest, thanks and a 5 star (need it quick)
A right triangle with 45 degree angles mean bot the height and the base are the same, so Y would be 9.
The hypotenuse, which is labeled x is the length of the side multiplied by the square toot of 2.
Answer: X = 9√2
The area of a rectangle garden is 4158m^2. If the width of the garden is 54m, what is its length?
Answer:
Step-by-step explanation:314
Answer:
length-77m
Step-by-step explanation:
since we already know the area which is 4158m² and width which is 54m we will do the opposite of multiplication to find the length which is division you divide 4158 by 58 and we get 77m
please help me with 5-6
Answer:
x=10, x=6
Step-by-step explanation:
5
4x+3+64+73=180 [ Sum of angles of a triangle]
4x=180-140
x=40/4
x=10
6
25+140+2x+3=180 [ Sum of angles of a triangle]
2x=180-168
x=12/2
x=6
If r = 2,440, then what is 29.3r?
Answer:
29.3r
29.3x2440
=71,492
Adrian said that g(x) = |x + 4| is translated up 4 units from the parent function f(x) = |x|. Do you agree or disagree? Why?
Answer:
Below.
Step-by-step explanation:
Disagree.
The + 4 translates the parent function 4 units to the left ( not up).
Write an equation in slope intercept form that contains the points (-6,3) and
(-2,1)..
Answer:
y= (-1/2)x+1
Step-by-step explanation:
The general equation of a line in the slope intercept form is y= mx+b, where
m = the slope, and b = y-intercept (where the line crosses the y-axis)
for points (x1 = -6, y1 = 3) and (x2 = -2, y2 = 1)
m= (y2-y1)/ (x2-x1) = (1 - 3)/ (-2 - -6) = -2 / 4 = -1/2
the equation is now y= (-1/2)x+b
substitute the x and y coordinates of any of the points in the equation
for point (-2, 1) we will have 1 = (-1/2)(-2)+b, so b=1
The equation in slope intercept form that contains the points (-6,3) and
(-2,1) is y = (-1/2)x+1
Which statements are true? Select all that apply
Answer:
a is the answer hope you get it right
pls answer i will give u brainlist, FAST AND PLS WRITE THE STEPS HAS TO BE SHORT PLSSSSSSS
Answer:
velosity= distance ÷ time
Step-by-step explanation:
[tex]3 \times \frac{2}{5} \div \frac{2}{3} = \\ \frac{17}{5} \times \frac{3}{2} = \frac{51}{10} = 5.1[/tex]
I forget how to do this lol
Answer:
-0.83
Step-by-step explanation:
If EF=2x−12, FG=3x−15, and EG=23, find the value of FG
Answer:
FG= 15
Step-by-step explanation:
2x-12+3x-15=23
5x-27=23
-27+27 23+27
5x=50
5x/5=50/5
x=10
FG= 3x-15
3(10)-15
30-15
FG=15
The graph of y=f(x) is shown. Draw the graph of y=f(-x).
Which two numbers have a negative sum?
Answer:
C
Step-by-step explanation:
convert the fractions to decimals
write a quadratic equation in standard for with the roots of 3 and -5
Answer:
(x-3)(x+5) = 0
x-3 = 0 and x+5=0
x=3 and x=-5 when y=0
y = x^2+2x-15
complete the square
= x^2+2x + 1 -15 - 1
= (x+1)^2 -16
f(x) = y = (x+1)^2 -16
y intercept = -15 or the point (0,-15)
x intercepts = 3 and -5 = the two zeroes or roots, or the points (3,0) and (-5,0)
vertex or minimum point of the upward opening parabola is (-1,-16)
note the 2 zeroes are both 4 units horizontally from the vertex x value, 3 to -1 is 4, and -1 to -5 is 4.
the line of symmetry is x=-1. left and right of x=-1 are mirror images
Step-by-step explanation:
hope it helps
Is question 8 right plz help it’s on 8 minutes
Answer:
Its 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
the way i do it is, i think of it as Find _ and look for _. Then u count to where it starts and ends. If that doesnt help then let me know and ill explain something else.
the legs of an isosceles triangle have lengths 3x-1 and 2x+4. The base has length 3x+5. Whatis the length of the base?
Answer:
3x+5
Step-by-step explanation:
The base has length 3x+5. You answered your own question darling
help
please
please
please
Step-by-step explanation:
x = price of pants
y = price of top
x + y = 36
x = (4/5)y
we use the second equation as substitute in the first
(4/5)y + y = 36
4y + 5y = 180
9y = 180
y = $20
x = (4/5)y = (4/5)×20 = 4×4 = $16
7 (-2) - 15 =
Find the value of the expression.
Answer:
-29?
Step-by-step explanation:
Solve for m < DBC.......
Answer:
∠ DBC = 34°
Step-by-step explanation:
∠ DBC = ∠ ABC - ∠ ABD = 64° - 30° = 34°
Pls help!!!!!!!!!!!!!
Answer:
1
Step-by-step explanation:
1. First, let's take any two points from the graph. For this case, I'm going to take (3,0) and (0,-3).
2. To find the slope given two points, we have to apply the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and plug in the corresponding values:
[tex]\frac{-3-0}{0-3}[/tex] [tex]\frac{-3}{-3}[/tex] [tex]1[/tex]Therefore, the slope is 1!
Answer:
the slope is 1
Step-by-step explanation:
use the formula m= y2-y1/x2-x1
Write an equation for a function that has a slope of 3 and that passes through the point (8, 14).
Answer:
[tex]f(x)=3x-10[/tex]
Step-by-step explanation:
Recall point-slope form: Given a point [tex](x_{1}, y_{1})[/tex] and the slope [tex]m[/tex], the equation for the line is [tex]y-y_{1}=m(x-x_{1})[/tex].
We can plug in for our point and slope!
The equation for the line is [tex]y-14=3(x-8)[/tex].
Distributing the right side gives [tex]y-14=3x-24[/tex].
Adding [tex]14[/tex] to both sides gives [tex]y=3x-10[/tex].
So, the function is [tex]\boxed{f(x)=3x-10}[/tex] and we're done!
answer please quick ok
The answer is C (-3 , -3) and (-3 , 3)
Step-by-step explanation:
the other answer was already right.
yes, C (-3, -3) and (-3, 3)
but why ?
the slope is the y/x ratio of the x and y coordinate differences when going from one point to the other.
so, x changes 0 units. y changes 6 units (from -3 to 3).
so, the slope is 6/0 = infinite or simply undefined.
this is a vertical line at x = -3.
true or false? the graph is decreasing when x<-2 and increasing x>-2
Some diets experts recommend drinking 2 litres of water each day. How many 240ml glasses of water should a person drink each day to follow this recommendation
Answer:
4
Step-by-step explanation:
a guess the answers to your liking you illegally parked in the gc and it's attachments if any
help me, please. I need it quick
Answer:
Perimeter : 8
Step-by-step explanation: 2 times 4= 8
2(x-1)+4=-(x+6)+5
..
x = -1
Step-by-step explanation:
2(x - 1) + 4 = -(x + 6) + 5
2x - 2 + 4 = -x - 6 + 5
2x + 2 = -x - 1
2x + x = -1 - 2
3x = -3
x = -1