Answer:
The two numbers are 6 and 15.
Step-by-step explanation:
[tex]x+y=21\\y=21-x\\x^{2} +y^{2} =261\\x^{2} +(21-x)^{2}=261\\x^{2} +441-42x+x^{2} =261\\2x^{2} -42x+180=0\\x^{2} -21x+90=0\\(x-6)(x-15)=0\\[/tex]
x=6 and x=15
Equation: -2(2x + y) = 28.
Answer:
x=-14-y/2
Step-by-step explanation:
divide both sides by -2
-2(2x+y)/-2=28/2
simplify
2x+y=-14
subtract y from both sides
2x+y-y=-14-y
simplify
2x=-14-y
divide both sides by 2
2x/2=-14/2-y/2
simplfy
x=-14-y/2
Help!
[tex] \sqrt{6 - 5x} + 2x = 0[/tex]
Explain why it is important to line up decimal points when you are adding and subtracting decimals. Use the problem 6.32 – 0.5 in your explanation
Answer:
Kindly check explanation
Step-by-step explanation:
When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.
To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.
For instance :
6.32 - 0.5
Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.
____6.32
- ___0.5
________
___ 5.82
________
Please help!!! Thank you!!!
Answer:
See below
Step-by-step explanation:
Statement | Reason
1. m∠A + m∠B + m∠C = 180° | 1. Angles in a triangle sum to 180°
2. 28° + x - 4° + 2x = 180° | 2. Substitution
3. x=(180° - 24°)/3= 156°/3°= 52° | 3. Algebra
Solving an Equation for a Given Variable
The equation f= v + at represents the final velocity of an object. f. with an initial velocity, u, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Of-v =a
OL-v=a
V =a
OL+v=a
Find the slope and type in the correct code.
Answer:
DFBG
Step-by-step explanation:
At any point in time;
slope m = (y2-y1)/(x2-x1)
1. (3,19) and ((-1,-13)
m = (-13-19)/-1-3 = -32/-4 = 8
Letter here is D
2. we pick out two points to use here from the line
These are ((0,1) and (2,5)
Slope is ;
(5-1)/2-0 = 4/2 = 2
Letter here is F
3. We pick any two points
(1,-8) and (4,-32)
slope =
(-32 + 8)/4-1 = -24/3 = -8
Letter here is B
4. Slope = 8 + 10/0-9 = 18/-9 = -2
letter here is G
¿Cuál debe ser el precio de venta de cada lápiz para que el ingreso total sea máximo? El ingreso total l(v) que se obtiene por la venta de lapices esta dado por la función l(v)=-2v^2+500v, donde v es el precio de venta de cada lápiz en pesos.
Responder:
125 pesos
Explicación paso a paso:
Dado el ingreso total l (v) obtenido de la venta de lápices por la función
Yo (v) = - 2v ^ 2 + 500v
v es el precio de venta de cada lápiz
Para que el ingreso total sea máximo, entonces dI / dv debe ser cero, es decir, dI / dv = 0
dI / dv = -4v + 500
Dado que dI / dv = 0
0 = -4v + 500
4v = 500
Dividir entre 4
4v / 4 = 500/4
v = 125
De ahí que el precio de venta de cada lápiz sea para que el ingreso total sea máximo es de 125 pesos
What does 5000 x 5000?
Answer:
25,000,000
Step-by-step explanation:
5*5=25 and add the 6 zeros
please give thanks :)
Answer:
well for me
Step-by-step explanation:
I think
=25000000
Triangle ACB with coordinates A(0,0), C(2,0), and B(2,4) is similar to triangle BED. If vertex D has coordinates (6,12), what are the coordinates of vertex E?
Answer:
A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:
x1,y1= (-2, 4)
x2,y2= (-1,1)
To make the angle 90 degrees, there is two possible third point coordinate:
1. x1, y2 = (-2,1)
2. x2, y1= (-1,4)
The right triangle would be option C: (-2,1)
Option A and B is not a right triangle
Step-by-step explanation:
Answer:
the coordinates of vertex E is (6,0)
C(2,0),compare this to(2,4)
same x.but y=0
(6,0)comparing to (6,12)
we get it
PLZ HELP ILL MARK U BRAINLEIST
Answer:
Step-by-step explanation:
OK so i think triangle c
Answer:
F And C
Step-by-step explanation:
congruent means identical in form
can you please give me a step by step? thank you!
Answer:
-3/2x +2
Step-by-step explanation:
To find slope: y value - y value over x value - x value
5-(-4) = 9
-2 -4 = -6
9/-6 = -3/2 after you divide each by gcf of 3
y intercept : plug in your y and x values (and your slope ) into the equation: y = mx+b (slope intercept form)
point 1 (-2,5): 5 = (-3/2)(-2)+b
5 = 3+b (subtract 3 from both sides)
2 = b (your y intercept)
Answer: y=[tex]\frac{-3}{2}[/tex]x+2
Step-by-step explanation:
1. Find the slope of the two coordinates by using the slope-intercept form:
Slope intercept form=(y₂-y₁)/(x₂-x₁)
(-4-5)/(4-(-2))
(-9)/(4+2)
-9/6 or -3/2
2. Now that we have the slope for these two coordinates, plug them into the point-slope formula.
Equation for point-slope: y-y₁=m(x-x₁), where m=slope
y-5=[tex]\frac{-3}{2}[/tex](x-(-2)
y-5=[tex]\frac{-3}{2}[/tex](x+2)
y-5=[tex]\frac{-3}{2}[/tex]x-[tex]\frac{6}{2}[/tex]
y-5=[tex]\frac{-3}{2}[/tex]x-3
(Add 5 to both sides)
y=[tex]\frac{-3}{2}[/tex]x+2
I need help with this equation. I'm not that smart so I can't figure it out-
Answer:
x = 0
Step-by-step explanation:
In order to solve for x, first combine both fractions on the left
To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4
It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:
8x+24/32
Multiply 4x-2/8 by 4, you will get:
16x-8/32
Now you can add 16x-8/32 + 8x+24/32, you would get:
24x+16/32
Now you can start to solve for x
Your new equation is 24x+16/32 = 1/2
To solve for x, first multiply diagonally, then solve like a regular equation.
Multiply 24x+16 by 2 to get 48x+32
Then multiply 32 by 1 to get 32
Your new equation is 48x+32=32
Now subtract 32 by 32 to get 48x=0
Now divide 48 by 0 to get x=0
3y (x + x^2 - y)
i need help :(((
Answer:
3yx+3yx^2-3y^2
Step-by-step explanation:
HELPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12 - B
13 - No
14 - for every 2 feet of rope he pays about $1.50
hope this helps
Step-by-step explanation:
How many solutions will this system of equations have? (2 points)
x − 2y = 24
3x − 6y = 72
Annette, Barb, and Carlita work in a clothing shop. One day the three had combined sales of $1480. Annette sold $140 more than Barb. Barb and Carlita combined sold $320 more than Annette. How much did each person sell?
Express the missing divisor using a power of 10. Explain your reasoning using a model.
7.5 ÷ ___________ = 0.075
Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?
Answer:
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
PLEASE HELP!
In the accompanying diagram of rhombus ABCD, diagonal AC is drawn. If m<CAD 30, find m<ABC.
I'll love you forever if you help me with this
what are the slope and y-intercept for the graph of y-3x=-1
Answer:
Step-by-step explanation:
Think of the equation y = mx + b
So the m is the slope and the b is the y-intercept
m/slope= 3 b/y-intercept= -1
Please help as soon as possible! I need to get this done now! Thank you so much
Answer: SSS and CMW=FPY
Step-by-step explanation:
The lines on each side of the triangle show which sides match. So it is just a case of matching sides with sides.
3 pounds cost $15. How many pounds can you buy for $45?
Answer:
you can buy 9 poundssss
help look at image above
Answer:
any number greater than 5 (so 6 and 8)
Step-by-step explanation:
since the expression on the left is supposed to be greater than 7, 5 cant be an answer because that will equal to 7. Therefore any number greater than 5 will work.
Given the following functions, find the indicated values.
f(x) = 2 -5x
(a) f(-6) (b) f(0) (c) f(9)
(a) f(- 6) = 2
(b) f(0) =
(c) f(9) =
Answer:
f(-6) = 32
f(0) = 2
f(9) = -43
Step-by-step explanation:
Since in this question we are given a function all we have to do is to plug in the values that were indicated in the question and find out what value are we going to get as an output of this function. So we just do the following.....
a)
f(-6) = 2 - 5(-6)
f(-6) = 2 - (-30)
f(-6) = 2 + 30
f(-6) = 32
b)
f(0) = 2 - 5(0)
f(0) = 2 - 0
f(0) = 2
c)
f(9) = 2 - 5(9)
f(9) = 2 - 45
f(9) = -43
Which equasion represents a line that is parallel to the line y=-4x+5
Write an expression to show how much it costs per week to keep the 8 adults x where the number of pounds one adults in a day. Simplify your expression
Answer:
y = 56xStep-by-step explanation:
Given the amount to keep one adult in a day to be x
Since 7 days = 1 week
Amount it will take to keep one adult for a week will be 7x
one adult = 7x pounds
To get the expression that show how much it costs per week to keep the 8 adults, we will say;
8 adults = y pounds
where y is the required amount
Solving both expressions
one adult = 7x pounds
8 adults = y pounds
Cross multiply
1 * y = 7x * 8
y = 56x
Hence the required expression is y = 56x
Please actually answer this, don't just type random stuff i swear. Okay, has this been happening to anyone else? What's happening is I can't get a tutor at all, I am doing Mathematics too like- can someone help me, please don't answer this just for points.
Answer:
Finding a tutor for mathematics? If that's the problem
Step-by-step explanation:
Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc
Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...
I have always had problems with math so I am sorry if it doesn't work out for you
The diagram represents a reduction of a triangle by using a scale factor of 0.8.
What is the height of the reduced triangle?
A) 4.0 inches
B) 4.8 inches
C) 5.2 inches
D) 7.5 inches
Answer:
B 4.8 inches
Step-by-step explanation:
The scale factors are used to convert a figure into another one with similar characteristics but different lengths, in this example is a triangle, and in order to calculate the measure of the height you just have to multiply the original height by the scale factor:
Find the value of x. Give reasons to justify your solution. D ∈ AC
Answer:
x = 13
Step-by-step explanation:
Find the diagram attached
From the diagram, the sum of angle of the straight line BCD is 180°. Hence;
<BCE+<ECF<90 = 180
<BCE+64+90=180
<BCE+154 = 180
<BCE = 180-154
<BCE = 26°
Next is to get x.
The sum of interior angles <BCE and <BEC is equal to exterior angle <ABE
<BCE + <BEC = <ABE
26+x = 3x
Collect like terms
26 =3x-x
26=2x
x = 26/2
x = 13
Hence the value of x is 13