a) Dos números enteros positivos se diferencian en 6 unidades y la suma de sus cuadrados
es 260. ¿Cuáles son esos números?
Queremos encontrar dos números enteros tales que su diferencia sea de 6 y la suma de sus cuadrados sea igual a 260.
Veremos que los dos números son 8 y 14.
Primero, podemos definir esos números como A y B.
Entonces tenemos que:
A - B = 6
A^2 + B^2 = 260
Esto es un sistema de ecuaciones.
Para resolverlo, el primer paso es aislar una de las variables en una de las ecuaciones, vamos a hacer esto en la primera.
A - B = 6
A = 6 + B
Ahora reemplazamos esto en la otra ecuación.
A^2 + B^2 = 260
(6 + B)^2 + B^2 = 260
36 + 12*B + B^2 + B^2 = 260
36 + 12*B + 2*B^2 = 260
Ahora podemos resolver esto para B:
2*B^2 + 12*B + 36 - 260 = 0
2*B^2 + 12*B - 224
Las soluciones estan dadas por la formula de Bhaskara:
[tex]B = \frac{-12\pm \sqrt{12^2 - 4*2*(-224)} }{2*2} \\\\B = \frac{-12 \pm 44 }{4}\\\\B = (-3 \pm 11)[/tex]
Entonces las dos soluciones son:
B = -3 + 11 = 8
B = -3 - 11 = -14
Sabemos que los números son positivos, asi que elejimos la primera, entonces tenemos:
B = 8.
Con esto podemos calcular el valor de A como:
A - B = 6
A = 6 + B = 6 + 8 = 14
Entonces los dos números son:
8 y 14.
Si deseas aprender más, puedes leer:
https://brainly.com/question/24761554
what are all the square numbers that are greater than 10 but less then 40
Answer:
16, 25, 36
Step-by-step explanation:
4^2 = 165^2 = 256^2 = 36simplify - 8t + 3r - 7t - 9r
Answer:
15t+12r
Step-by-step explanation:
you have to do like term like -8t and-7t that is like term so the next like term is 3r and -9r
Bob bought 2Ibs of apples for $6. Explain how to find the unit rate and give the meaning of unit rate
Answer:
Unit rate is 3
Step-by-step explanation:
The unit rate means the value of ONE unit.
In this case, it would be the value of ONE pound of apples.
I divided 6 by 2, which gave me THREE.
Work out the area of the pentagon.
Give your answer correct to 3 significant figures.
//answer please
Answer:
Step-by-step explanation:
A = 1/4√5(5+2√5)a²
Geometry:
Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior angles.
1. <6 and <3
2. <4 and <7
3. <5 and <4
Pls help me i have no idea what i'm doing:(
Answer:
Step-by-step explanation:
.<6 and <3
SOLUTION:
Interior angles that are non adjacent and lie on
opposite. In the figure, angles <5 and <4 are consecutive interior
angles. sides of the transversal are alternate interior
angles.
<4 and <7
SOLUTION:
In the figure, angles 1 and 3 are corresponding
angles. Use the Corresponding Angles Postulate:
If two parallel lines are cut by a transversal, then
each pair of corresponding angles is congruent
at 6 am the temperature was -8ºC. In the afternoon, the temperature was +3ºC. What was the change of temperature during the day?
Answer:
I think -5
Step-by-step explanation:
-8-(3)= -5
if they are the same sings (+or-) you keep and add and different signs subtract, you keep the sign of the bigger number then you'll be exact.
Hope it helps
125 divided by 15 °°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
Answer:
8.3(3333333333333333)
Step-by-step explanation:
who goes to Catonsville middle school pls answer
Answer:
Uh not me but I don't think you should leak your schools name...
28 is less than 35 by what %?
35 is greater than 28 by what %?
Answer:
28 is less than 35 by 20%
35is greater than 28 by 20%
Can you solve this? Thank you
Answer:
14
Step-by-step explanation:
ratio of red : blue = 4 : 3 = 4x : 3x ( x is a multiplier )
8 red counters are added , so
4x + 8 : 3x = 8 : 3
Expressing the ratio in fractional form
[tex]\frac{4x+8}{8}[/tex] = [tex]\frac{3x}{3}[/tex] ( cross- multiply )
24x = 3(4x + 8) = 12x + 24 ( subtract 12x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
original number of counters = 4x + 3x = 7x = 7(2) = 14
On average, Gavin drinks of a 6-ounce glass of water in 11 hours. How much water
does he drink, in glasses per hour? Enter your answer as a whole number, proper
fraction, or mixed number in simplest form.
what is on your nose in your pic
Biểu thức sin²x + cos²x có giá trị bằng ?
we have sin²x + cos²x = 1
ok done. Thank to me :>
The company made $700,000 the first quarter and $343,000 the second
quarter. Which shows the change from the first quarter to the second
quarter?
a) –357,000
B) 357,000-
C) 357,000+
D) +357,000
Hi! i need help, can someone help me please
Answer:
b
Step-by-step explanation:
The change from the first quarter to the second quarter is +357,000. Therefore, the correct answer is option D.
Given that, the money made by company in first quarter = $700,000 and in the second quarter = $343,000.
Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
The difference in money made by company from first quarter to second is
700,000-343,000
= +357,000
Therefore, the correct answer is option D.
Learn more about the subtraction here:
brainly.com/question/2346316.
#SPJ4
Find the term of the arithmetic sequence in which a 27=-1/2 and the common difference is 2.
Step-by-step explanation:
arithmetic sequence means that every new term is created by adding a certain constant (here 2) to the previous term.
a27 = -1/2 = a1 + (n-1)×2 = a1 + 26×2 = a1 + 52
a1 = -52 1/2 = -105/2
an = -105/2 + (n-1)×2
"find 48 divided by 2 using the distributive property"
Step-by-step explanation:
48 ÷ 2 = ...
= (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2) + (12 ÷ 2)
= 6 + 6 + 6 + 6
= 12 + 12
= 24
What is six times a number in algebraic expression
Answer:
6(x)
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
x represents a number, it is also called a variable.
If there is 2 of x, it would be represented like this: 2x
If there is 1 of x, it would be represented like this: x
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating. 15% tip on a bill of $53.67 The amount of the tip is approximately $
Answer:
357,8 if finding ???? before tip 53.67
8,050500000000001 if 53.67 and tip 15% 8,050500000000001
Step-by-step explanation:
if u drove 45 miles in 75 min how many miles did u drive per min
Answer:
11.25
Step-by-step explanation:
i hope this is right sry if its not tho
Answer:
How many miles is a 45 minute drive? 45 min is 0,75*60 min. During this time you'll drive 0,75*60= 45 miles.
Step-by-step explanation:
can someone please help me i’m not doing so well in this new topic
Answer:
m<H= 80*
m<P= 80*
m<I= 33*
M<Q= 33*
M<J=67*
M<R=67*
Step-by-step explanation:
Given States that ️ HIJ = ️ PQR
<H=<P
2x=x+40
2x-x=x-x+40
x=40
<I=<Q
<J=<R
ALL TRIANGLES MEASURE 180*
Y= the measure of <R and <J
2x+33+y=180
2(40)+33+y=180
80+33+y=180
113+y=180
113-113+y=180-113
y=67
Answer:
See answer below
Step-by-step explanation:
If ΔHIJ ≅ ΔPQR ,then you know six congruent parts:
∠H ≅ ∠P ; ∠I ≅ ∠Q; ∠J ≅ ∠R and HI ≅ PQ; HJ ≅ PQ ; IJ ≅ QR
∠H ≅ ∠P ∠I ≅ ∠Q
2x = x + 40° ∠I = 35°
x = 40°
So ∠H = 2x = 2(40) = 80° Δ HIJ = 180°
∠P = x + 40 = 40 + 40 = 80° ∠H + ∠I + ∠J = 180°
∠Q = 35° 80° + 35° + ∠J = 180°
∠ I = 35° 115° + ∠J = 180°
∠ J = 65° ∠J = 65°
∠R = 65° ∠J ≅ ∠R
Answer each question below.
18.
(16)
ZW and ZY are supplementary. If m
Is there anymore words?
Answer:
I'm not answering but i can help you :)
Step-by-step explanation:
Supplementary angles are two angles whose measures add up to 180°.
The two angles of a linear pair, like ∠1 and ∠2 in the figure below, are always supplementary.
But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180°.
Example 1:
Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.
Let the measure of one of the supplementary angles be a .
Measure of the other angle is 2 times a.
So, measure of the other angle is 2a.
If the sum of the measures of two angles is 180°, then the angles are supplementary.
So, a+2a=180°
Simplify.
3a=180°
To isolate a, divide both sides of the equation by 3.
3a3=180°3 a=60°
The measure of the second angle is,
2a=2×60° =120°
So, the measures of the two supplementary angles are 60° and 120°.
Example 2:
Find m∠P and m∠Q if ∠P and ∠Q are supplementary, m∠P=2x+15, and m∠Q=5x−38.
The sum of the measures of two supplementary angles is 180°.
So, m∠P+m∠Q=180°
Substitute 2x+15 for m∠P and 5x−38 for m∠Q.
2x+15+5x−38=180°
Combine the like terms. We get:
7x−23=180°
Add 23 to both sides. We get:
7x=203°
Divide both sides by 7.
7x7=203°7
Simplify.
x=29°
To find m∠P, substitute 29 for x in 2x+15.
2(29)+15=58+15
Simplify.
58+15=73
So, m∠P=73°.
To find m∠Q, substitute 29 for x in 5x−38.
5(29)−38=145−38
Simplify.
145−38=107
So, m∠Q=107°.
Which of the following correct shows the next two
terms after -40 in the pattern?
Answer:
I believe the answer is B. 80, -160
Step-by-step explanation:
The pattern involves multipling by -2 so the term after that would be 320!
y=x-7
6x-6y=-7
elimination method
Answer:
The system has no solutions.
Step-by-step explanation:
Let's write it in a more traditional form
[tex]\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\[/tex]
Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.
Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd
Find angles x and y.
I really need this as fast as possible, is it alright if u can help?
Answer:
x=62, y=62
Step-by-step explanation:
the diagonal line to the 62 angle and the diagonal line towards the left of the x angle are parallel and so are the two horizontal lines. we know angle 3 is 62 now, so y= 180 - 46 - 62 = 72
by alternate interior angles, y=angle 2 and angle2=x so x=72
Suppose that a department contains 8 men and 17 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men
Geometry- what is O? show work/explain please.
Answer:
Step-by-step explanation:
PLS HELP ME 20 points in total if it let me pick brainlist
Answer:
Its D because the 1=1 and 2=2 + Fish
Step-by-step explanation:
80 percent = 8,000
what is the answer
Answer:
10,000
Step-by-step explanation:
simple math in my opinion
The distance from the post office to a supermarket is 0.5 km. What is the distance in meters?
Enter your answer in the space provided.
The distance from the post office to the supermarket is
meters.
Answer:
The answer is 500 meters
Step-by-step explanation:
I got it right
Please mark me as brainly!
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Have a good dat!
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What was the frequency of rolling a sum greater than 5?
Answer:
on a 6-sided dice, 1/6
Step-by-step explanation: