Answer:
the three consecutive even integers are -2, 0, 2
Step-by-step explanation:
Let the first even integer = n
Let the second even integer = n + 2
Let the third even integer = n + 4
From the given statement, we form the equation below
(n²) + (n + 2)² + 4 = 2(n + 4)²
Expand this equation;
n² + (n + 2)(n + 2) + 4 = 2(n + 4)(n + 4)
n² + n² + 2n + 2n + 4 + 4 = 2(n² + 4n + 4n + 16)
2n² + 4n + 8 = 2(n² + 8n + 16)
2n² + 4n + 8 = 2n² + 16n + 32
collect like terms together;
2n² - 2n² + 4n - 16n = 32 - 8
- 12n = 24
-n = 24/12
-n = 2
n = -2
Second integer = n + 2
= -2 + 2 = 0
Third integer = n + 4
= -2 + 4
= 2
Therefore, the three consecutive even integers are -2, 0, 2
The three consecutive even integers are -2, 0, 2
The calculation is as follows:
Let us assume the first even integer = n
Let us assume the second even integer = n + 2
Let us assume the third even integer = n + 4
Now
[tex](n^2) + (n + 2)^2 + 4 = 2(n + 4)^2\\\\n^2 + (n + 2)(n + 2) + 4 = 2(n + 4)(n + 4)\\\\n^2 + n^2 + 2n + 2n + 4 + 4 = 2(n^2 + 4n + 4n + 16)\\\\2n^2 + 4n + 8 = 2(n^2 + 8n + 16)\\\\2n^2 + 4n + 8 = 2n^2 + 16n + 32\\\\2n^2 - 2n^2 + 4n - 16n = 32 - 8\\\\- 12n = 24[/tex]
n = -2
Now
Second integer = n + 2
= -2 + 2 = 0
And,
Third integer = n + 4
= -2 + 4
= 2
Learn more: brainly.com/question/17429689
1.) The soccer field at Trey's school is 110 --- long
a) millimeter
b) centimeter
c) meter
d) Kilometer
Answer:
c) meter
Step-by-step explanation:
Millimeters and Centimeters are too short of units for a soccer field, and kilometers are too big.
Answer:
meter
Step-by-step explanation:
centimeters are way to small and millimeter is also way to small kilometer Is to big so it has to be a meter
Dude I need a Moderator
My points are stuckkk.
Find the simple interest payable on a deposit of ₹20,000 at 12% per annum over a period of 4 years.
Answer:
The simple interest accumulated on a principal of ₹20,000 at a rate of 12% per year for 4 years is ₹9600.
Step-by-step explanation:
Given
Principle P = ₹20,000
Rate r = 12% per annum = 0.12 per annum
Time period t = 4 years
To determine
Simple Interest I = ?
Using the simple interest formula equation
I = Prt
substituting P = 20000, r = 0.12, t = 4
I = 20000 × 0.12 × 4
I = ₹9600
Therefore, the simple interest accumulated on a principal of ₹20,000 at a rate of 12% per year for 4 years is ₹9600.
Let v be a vector with initial point (-5, -11) and terminal point (6,2). What is v?
Answer:
It’s B
Step-by-step explanation:
Answer: It's B
Step-by-step explanation: i js took the test
The cost in dollars of making x items is given by the function C(x)=10x+800.
a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.
b. What is the cost of making 25 items?
c. Suppose the maximum cost allowed is $3300. What are the domain and range of the cost function, C(x)? (In interval Notation)
C(x) = 10x+500
A. C(O)=A 10.0+500. = 500.e
B. C(25) = 10.25+500 =750
C.c(x)=1500=10x+500
What is the measure of x
Answer:
35°
Step-by-step explanation:
From the age of person.if two fifth of his age is subtracted the result becomes 24 years. Find his age
Answer:
60
Step-by-step explanation:
24:2 /5=24*5/2=60
What is 4 to the -2 power divided by 4 to the 4th power
Answer:
4 to the -2 power divided by 4 to the 4th power
[tex] \frac{ {4}^{ - 2} }{ {4}^{4} } = \frac{1}{( {4}^{2} \times {4}^{4} ) } = \frac{1}{ {4}^{(2 + 4)} } = \frac{1}{ {4}^{6} } = \frac{1}{4096}\\ [/tex]
(1/4096) is the right answer.Marco took a math quiz last week. He got 17 out of 67 problems correct. What percentage did Marco get correct
Answer:
25.37%
Step-by-step explanation:
fillerfillerfillerfiller
The slope is m=2...y-intercept, b=5.
What would be the equation?
Solve the quadratic equation below :
2x^2 + 12x =66
Answer:
-3 + sqrt 42
-3 - sqrt42
Step-by-step explanation:
assuming you want me to factor it and then find the roots:
2x^2 +12x-66
2(x^2 + 6x-33)
can I have some help with this please?
Answer:
Is this Trig? If so I recommend using SOHCAHTOA, if not i have No way of helying you sorry
Step-by-step explanation:
PLEASE HELP will give brainliest.
Answer:
1. C
2. D
3.C
4.A
i think thats the answer.!
Draw stars and pentagons in the ratio 4 : 2.
☆☆☆☆☆☆☆
Your stars
⬠⬠⬠⬠⬠⬠⬠⬠⬠⬠
And pentagons
( i cant put them at a ratio though sorry :< )
please help :(
i will mark your answer as a brainiest !!
Answer:
[tex]12a^{7}b^{9}[/tex]
Step-by-step explanation:
The laws of exponents state that when multiplying exponents of the same base, you can add the exponents. Therefore, [tex]a^{3}*a^{6}=a^{3+6}[/tex], or [tex]a^{9}[/tex]. Same with the b's. [tex]b^{2}*b^{5}=b^{7}[/tex]. Multiplying 4*3 is easy; 12. Multiply all together and you get [tex]12a^{9}b^{7}[/tex].
it takes 1 minute to bake 6 cookies how many cookies could you bake in 2 minutes
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Answer:
1.30182 for A
Step-by-step explanation:
26*0.05007
−9 ≤ −4; Add 13 to both sides
The resulting inequality is ____
Simplify
6^7 /6^5
leaving your answer in index form.
Answer:
36
Step-by-step explanation:
I really need help with this Triangle problem.
Answer:
x = 10
y = 20
Step-by-step explanation:
[tex] \tan \: 30 \degree = \frac{x}{10 \sqrt{3} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{10 \sqrt{3} } \\ \\ \sqrt{3} x = 10 \sqrt{3} \\ \\ x = \frac{10 \sqrt{3} }{ \sqrt{3} } \\ \\ x = 10 \\ \\ \cos 30 \degree = \frac{10 \sqrt{3} }{y} \\ \\ \frac{ \sqrt{3} }{2} = \frac{10 \sqrt{3} }{y} \\ \\ y = 10 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ \\ y = 10 \times 2 \\ \\ y = 20[/tex]
5.3.PS-/
Simplify the expression.
-
-2.8f + 0.8f – 16 - 9
Select the correct answer. Which equation represents the vertical line passing through (14,-16)? A. X = -16 B.y=-16 C.x=-16 D.y= 14
Answer:
c.x=-16
Step-by-step explanation:
i think so...........ggggfewaaaaaa
Answer: x = 14
Step-by-step explanation:
There are 16 tablespoons in one cup. Which table correctly relates the number of cups to the number of tablespoons?
Answer: The first table
Step-by-step explanation:
1:16
2:32
4:64
8:128
Answer:
The first one that goes 1-8 under the cups.
Step-by-step explanation:
Since theres 16 tablespoons in 1 cup, it goes up by 16 per cup. So, for 2 cups, it's 2 x 16, for 3 cups, its 3 x 16, and so on. If you were to do that the first table is the only one that matches.
Which property justifies the fact that 5(x-2) is equivalent to 5x-10?
O Commutative
O Associative
O Distributive
O Identity
Answer:
Distributive
Step-by-step explanation:
Answer:
Step-by-step explanation:
Distributive
2
Which of the following is true when ordering the following numbers on a horizontal number line?
-1, -, -1.2
OA. -1.2 is to the right of -1, and -1 is to the right of -
ОВ.
-1.2 is to the right of -1, and -1 is to the left of -
OC. -1.2 is to the left of -1, and -1 is to the right of
OD. -1.2 is to the left of -1, and -1 is to the left of
Reset
Submit
Answer:
-1.2 is the right of -1, and -1 is to the left of - OC .
how many time does 80 fit into 415
Answer:
5 times
Step-by-step explanation:
have a good day/night :)
Answer:
5.19 times
Step-by-step explanation:
just divided 145 by 180
After the point B(2, 3) is translated along the vector <5, 7> the image will be located at ?
Answer:
(7, 10)
Step-by-step explanation:
The vector has an x component of 5 and a y component of 7, so we can add each of these components to the coordinates of B to get its image:
B(2,3)
B'(2 + 5, 3 + 7) = B'(7, 10)
The image will be located at (7, 10).
What is vector?Vectors, in Maths, exist as objects which have both, magnitude and direction. Magnitude determines the size of the vector. It exists described by a line with an arrow, where the length of the line exists the magnitude of the vector and the arrow displays the direction.
The vector has an x component of 5 and a y component of 7, so we can add each of these components to the coordinates of B to get its image:
B(2,3)
B'(2 + 5, 3 + 7) = B'(7, 10)
To learn more about vector refer to:
https://brainly.com/question/17388579
#SPJ2
Which of the following is a rational number?
V80
А
10
B
V225
С
7184
D
T
please explain how to do this system of equations 2y=6x+10 y=2x+4
Answer:
x=-1, y=2
Step-by-step explanation:
Given:
2y=6x+10
y=2x+4
Substitution for y into first equation:
2(2x+4)=6x+10
4x+8=6x+10
0=2x+2
2x=-2
x=-1
y=2(-1)+4
y=2
A mathematics professor created a test that was supposed to be mostly easy except for two challenging problems. The scores of the students are shown in the dot plot below. What was the most common score?
Answer:
Depends how many questions there is.
Step-by-step explanation:
