Answer:
Step-by-step explanation:
The intersection point (centroid) divides the medians in ratio 2:1. it does mean that the long segment value is the short segment value multiplied by two. let's call the centroid point G.
BG=DG*2=4*2=8
CG=EG*2=2*2=4
AG=FG*2 =>FG=AG/2=6/2=3
how many solutions does 3(4+x)=7x-2(2x+3) have
Answer: no solutions
Step-by-step explanation:
Let's solve your equation step-by-step.
3(4+x)=7x−2(2x+3)
Step 1: Simplify both sides of the equation.
3(4+x)=7x−2(2x+3)
(3)(4)+(3)(x)=7x+(−2)(2x)+(−2)(3)(Distribute)
12+3x=7x+−4x+−6
3x+12=(7x+−4x)+(−6)(Combine Like Terms)
3x+12=3x+−6
3x+12=3x−6
Step 2: Subtract 3x from both sides.
3x+12−3x=3x−6−3x
12=−6
Step 3: Subtract 12 from both sides.
12−12=−6−12
0=-18
What's two plus two?
Answer:
100,000,000,000.90987
Step-by-step explanation:
Use p = 2 and p = 8 to determine if the two expressions are equivalent. 4(2 + p) 14 + p Complete the statements.
Answer:
The expressions are not equivalent.
Step-by-step explanation:
Here we have two expressions:
4*(2 + p)
14 + p
We want to evaluate these two expressions in two different values of p to check if the expressions are equivalent or not.
First, we evaluate both of them in p = 2, this is just replace p by 2 in each expression and then solve it.
4*(2 + 2) = 4*4 = 16
14 + 2 = 16
In this case, we can see that both expressions yield the same number, so we could think that the expressions are equivalent, now let's try with other value of p.
Now let's do it with p = 8
4*(2 + 8) = 4*10 = 40
14 + 8 = 22
Now we can see that the results are different, then we can conclude that the expressions are not equivalent.
Answer:
Use p = 2 and p = 8 to determine if the two expressions are equivalent.
4(2 + p) 14 + p
Complete the statements.
If both expressions have the same value after substituting two different values and simplifying, then they are
✔ equivalent expressions
.
When p = 2, the first expression is
✔ 16
and the second expression is 16.
When p = 8, the first expression is 40 and the second expression is
✔ 22
.
The expressions are
✔ not equivalent
.
At the same time a 50-foot cell phone tower casts a 32-foot shadow, a nearby light post casts a 20-foot shadow. How tall is the light post?
Answer:
31.25'
Step-by-step explanation:
50' tower : 32' shadow
x' post : 20' shadow
Cross multiply,
x = 50*20/32 = 31.25'
Find x pls I'm preparing for a test ;-;
Answer:
x = 5
Step-by-step explanation:
13^2 - 12 ^2 = x^2
169 - 144 = x^2
25 = x^2
[tex]\sqrt{25} = \sqrt{x^2}[/tex]
x = 5
Answer:
x = 5
Step-by-step explanation:
12² + x² = 13²
144 + x² = 169
144 - 144 + x² = 169 - 144
x² = 25
√x² = √25
x = 5
At a meeting attended by 23people, the females were 7 more than the males. How many males were there?
Answer:
8
Step-by-step explanation:
x+x+7=23
2x=16
x=8
There were 8 males in the meeting.
How many males were there?Let us assume,
The number of males = x
Number of females = 7+x
Total people = 23
x + x+ 7= 23
2x + 7 =23
2x = 23 - 7
2x = 16
x= 8
There were 8 males in the meeting.
To learn more about How many males were there refer to:
https://brainly.com/question/734405
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Triangle DBC is equilateral,
AB = AC. Work out the size of angle x.
Pls asap
Answer:
x = 21º
Step-by-step explanation:
∆ ABC is isosceles therefor
Angles B and C are congruent
(180 - 18)/2 = 162/2 = 81º
------------------
∆ BCD is equilateral therefor all angles are 60º
---------------------------
x = = 81 - 60
x = 21º
See image for question. Show workings
Answer:
#85 men and 2 women = 7 people with no restriction
7P7 = 7!a) Two women must sit next to each other:
2!*5! = 2*120 = 240b) The two women must not sit next to each other:
7! - 2!5! = 4800#93 men and 5 women with no restriction:
8P8 = 8! = 40320Quadrilateral ABCD is shown below. Find the value of x
How do you integrate
[tex](3x^{2} + 3) ^{3} [/tex]
?
Answer:
Since i don't know what formula is mentioned. I just used the easiest way to solve :)
Step-by-step explanation:
[tex](3x^2 + 3)^3 = (3x^2)^3 + 3^3 + 3((3x^2)^2)(3) + 3(3x^2)(3^2)[/tex]
[tex]= 27x^6 + 27 + 3(9x^4 \times 3) + 3(3x^2 \times 9)\\\\=27x^6 + 27 + 81x^4 + 81x^2\\\\=27x^6 + 81x^4 + 81x^2 + 27\\\\[/tex]
[tex]\int\limits {(3x^2+3)^3} \, dx = \int\limits {27x^6 + 81x^4+81x^2 + 27} \, dx[/tex]
[tex]= \frac{27}{7}x^7 + \frac{81}{5}x^5+\frac{81}{3}x^3 + 27x +C\\\\= \frac{27}{7}x^7 + \frac{81}{5}x^5+27x^3 + 27x +C\\\\[/tex]
Please help me ASAP!!!!
Answer:
6.9 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 35 = x /12
12 sin 35 = x
6.882917236=x
To the nearest tenth
6.9 =x
Now you try it..
Solving the equation algebraically (show mathematical thinking)
251 = c - 811
Check Required
helppp
Answer:
c = 1062
Step-by-step explanation:
first move the terms
251 - c = -811
move the constant to the right hand side and change its sign
-c = -811 - 251
calculate the difference
- c = -1062
change the signs in both sides of the equation
c = 1062
Answer:
1062
Step-by-step explanation:
811 + 251=1062
Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
5 cm and 8 cm
6 cm and 7 cm
7 cm and 2 cm
8 cm and 9 cm
Answer:
8 cm , 9cm
Step-by-step explanation:
sum of any two sides >third side
difference of any two sides<third side
only 8 cm and 9 cm satisfies it
8+9=17>13
9-8=1<13
Solve for P.
-1 + 14 p = -435
Answer:
P = -31
Step-by-step explanation:
-1 + 14p = -435
Remove the -1 by adding it from both sides.
14p = -434
Remove the 14 by dividing it from both sides.
p = -434/14
p = -31
Answer:
-31
Step-by-step explanation:
-1+14p=-435
14p=-435-(-1)
14p=-435+1
14p=-434
p=-434/14
p=-31
25. Find the value of x. *
2 points
450
412
X
MathBits.com
450
O 2
0 212
0.4
04.12
Find the sum of 4\sqrt{5}4 5 and 3\sqrt{2}3 2 in simplest form. Also, determine whether the result is rational or irrational and explain your answer. Result: The result is because it be written as the ratio of two integers and its decimal expansion terminate or repeat.
Answer:
I would guess irrational, but Can you post a pic?
Step-by-step explanation:
The result of 4√5 + 3√2 is an irrational number because it contains the irrational term 7√5, which cannot be written as the ratio of two integers and does not have a terminating or repeating decimal expansion.
What is a rational number?A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.
The number is given in the question as follows:
4√5 and 3√2
We have to determine the sum of 4√5 and 3√2.
To find the sum of 4√5 and 3√2 , we can simply add the two terms:
⇒ 4√5 + 3√2
⇒ (4 + 3)√5 + 0√2
⇒ 7√5
In conclusion, the result of 4√5 + 3√2 is an irrational number because it contains the irrational term 7√5, which cannot be written as the ratio of two integers and does not have a terminating or repeating decimal expansion.
Learn more about rational numbers here:
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Can someone please help me with this, it’s urgent!!
Answer:
B n D
Step-by-step explanation:
What is the common ratio in the geometric sequence? I need HELP. Thanks
Answer:
7x
Step-by-step explanation:
Common ratio = 2nd term ÷ first term
[tex]= \frac{35x^{2}}{5x}=\frac{35 * x * x}{5 *x}\\\\= 7x[/tex]
a²+b²+c²=138 and ab +bc+ca=3, Find a+b+c
[tex]a ^{2} + b {}^{2} + c { = 138} and \: ab + bc + ca \: find \: a + b + c[/tex]
ans pls?
Answer:
a + b + c = 12
Step-by-step explanation:
The given information are;
a² + b² + c² = 138
a·b + b·c + c·a = 3
The required data = a + b + c
Using an online tool, we have;
(a + b + c)² = (a + b + c) × (a + b + c) = 2·a·b + 2·b·c + 2·c·a + a² + b² + c²
∴ (a + b + c)² = 2·(a·b + b·c + c·a) + (a² + b² + c²)
Where;
a·b + b·c + c·a = 3, and a² + b² + c² = 138, we have;
(a + b + c)² = 2 × 3 + 138 = 144
(a + b + c)² = 144
(a + b + c) = √144 = 12
a + b + c = 12.
For a certain arithmetic sequence, [tex]a_{3} =14, a_{10}=98[/tex]. Write the first three terms of the sequence.
I'll mark you as brainliest *only if you answer*. Thanks <3
Answer:
An arithmetic sequence is defined by:
[tex]a_n = a_{n-1} + d[/tex]
Here, we know that:
[tex]a_3 = 14\\a_{10} = 98[/tex]
Using the recursive relation, we can write:
[tex]a_{10} = 98 = a_9 + d[/tex]
And can keep applying the recursive relation, so we will have:
[tex]98 = a_9 + d = (a_8 + d) + d = a_8 + 2*d[/tex]
And so on, until we get to a known term:
[tex]98 = a_8 + 2*d = a_7 + 3*d = a_6 + 4*d = a_5 + 5*d = a_4 + 6*d = a_3 + 7*d[/tex]
[tex]98 = a_3 + 7*d = 14 + 7*d[/tex]
Then we can solve:
98 = 14 + 7*d
for d:
98 - 14 = 7*d
84 = 7*d
84/7 = d = 12
Now we know the value of d, we can keep using the recursive relation to find the first 3 terms:
Here, we can rewrite the recursive relation as:
[tex]a_{n-1} = a_n - d[/tex]
Then:
[tex]a_2 = a_3 - d = 14 - 12 = 2\\a_2 = 2[/tex]
[tex]a_1 = a_2 - d = 2 - 12 = -10\\a_1 = -10[/tex]
[tex]a_0 = a_1 - d = -10 - 12 = -22\\a_0 = -22[/tex]
Then the first 3 terms are:
-22, -10, 2
Mr Anderson's doctor has ordered him to go on a diet. He must reduce his caloric intake 15%. He currently eats 2800 calories per day. What should Mr.Anderson multiply 2800 by to find his new caloric intake?
I need help with Part A i’ll give you brainlest if you answer this correctly!!!
Jackson elementary will have 320 first grade students next year, each class can have 16 students using the equation 16x= 320 , how many first grade classes will the school need?
Answer:
20
Step-by-step explanation:
320 = 16x
Our objective here is to isolate the variable (x) using inverse operations
First we want to get rid of 16
16x is the same as 16 times x( which is multiplication)
The inverse of multiplication is division so to get rid of the 16 we divide by 16 ( but note: whatever you do to one side you must do to the other ) so we divide both sides by 16
320/16=20
16x/16 = x
We would be left with x = 20
This meaning that they would need 20 first grade classes
Answer:
The school will need 20 first grade classes
Step-by-step explanation:
So think about it. There are 320 first grade students and each class can have 16 students which represents the equation 16x=320
All you need to do is solve the equation 16x=320
The equation is multplication. To undo multiplication you need to do division
So, x=320/16
x=20
So overall, your awnser is 20.
help very easy 5th grade math im in rush please help im very tired tell me how many x’s to put in each box.
Answer:
Step-by-step explanation:
none in the first 3 box
none in the second 3 boxes
2 in the third 3 boxes
1 in the 4th three boxes
1 in the 5th three boxes
3 in the 6th three boxes
and none in the last 3 boxes
hope this helped :D
Please help me im so confused on this one
80 25 x pls help me with this one
Answer:
25
Step-by-step explanation:
Answer:
x = 25
Step-by-step explanation:
Okay so as you can see there is an x shape and whenever you have that it means they are verticle angles. So we can conclude that 25 is verticle to x and so x is equal to 25.
3. At noon Lan is in his blue mini-van 300 km north of Makenna in her Bugatti. Lan heads south
at a speed of 60km/h while Makenna heads west at 75km/h. At what rate is the distance between
them changing at 2:00 PM? Express your answer as an approximate value rounded to the nearest
hundredth. (4 marks)
Answer:
The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h
Step-by-step explanation:
At noon the location of Lan = 300 km north of Makenna
Lan's direction = South
Lan's speed = 60 km/h
Makenna's direction and speed = West at 75 km/h
The distance Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km
The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km
The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km
Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.
By Pythagoras' theorem, we have;
s² = x² + y²
The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61
ds²/dt = dx²/dt + dy²/dt
2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt
2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900
ds/dt = 900/(2×30·√61) ≈ 1.92
The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h
Write each equation in function notation, then solve the function for the given value.
(i.e. Find the Function and Solution)
y = 5x - 4 when x = 5
Answer:
y = 21
Step-by-step explanation:
x = 5
y = 5 (5) - 4
y = 25 - 4
y = 21
(5 , 21)
Hope this helps!
Help please someone ans
Answer:
40
Step-by-step explanation:
the line in the middle shows the median
Please help. I really need to pass this class.
I have to find the perimeter of the blue part, not the circles.
And round answer to the nearest hundredth.
Answer:
p = 2(l+w)
= 2 ( 13 + 6)
2 ( 19)
= 38
C = 2pie r(radius)
= 2 × 22/7 × 3
= 18/6/7
38 - 18/6/7
answer = 19.14
HOPE ITS HELPS!!
plzz brainliest..