Answer:
x=5 and 3
Step-by-step explanation:
x^2-8x+21=6
x^2-8x+21+16=6+16
(x-4)^2=1
(x-4)=±1, x=5 and 3
........................
Find the absolute values
| -7| =7 | -6 | =6
Answer:
7, 7, 6, 6
Step-by-step explanation:
Answer:
6.6.7.7
Step-by-step explanation:
that is we remove the subtract sign (negative sign)
solve the equation 3 cos 2 theta + sin theta = 1 for values of theta from 0 degrees to 180 degrees
Step-by-step explanation:
Recall that
[tex]\cos{2\theta} = 1 -2\sin^2\theta[/tex]
so we can write our original equation as
[tex]3 - 6\sin^2{\theta} + \sin{\theta} = 1[/tex] or
[tex]6\sin^2{\theta} - \sin{\theta} - 2 =0[/tex]
Let [tex]x = \sin{\theta}[/tex] so our equation becomes
[tex]6x^2 - x - 2= 0[/tex]
which gives us two roots: [tex]x = -\frac{1}{2}[/tex] and [tex]x = \frac{2}{3}[/tex].
This is equivalent to [tex]\theta = 150°[/tex] and [tex]\theta = 41.8°[/tex]
6 takeaway -3 equals what?
6 - (-3) = 6 + 3
6+3 = 9
9 is your answer
5/5*5/10*5/15*5/20*5/25
Answer:
8/20
Step-by-step explanation:
PLEASE HELP WITH THE SCREENSHOT BELOW
Answer:
32.8
Step-by-step explanation:
well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8
A(3,8), B(3,-2), C( t ,1 ), if AB=2BC, find the possible values of t.
Find the distance between A and B, AB,
[tex]AB=\sqrt{(3-3)^2+(-2-8)^2}=10[/tex]
Next, find the distance between B and C, BC,
[tex]BC=\sqrt{(t-3)^2+(1-2)^2}=\sqrt{(t-3)^2+1}[/tex]
The equation is,
[tex]10=2\sqrt{(t-3)^2+1}[/tex]
[tex]25=(t-3)^2+1[/tex]
[tex]t^2-3t+10=25[/tex]
[tex]t^2-3t-15=0[/tex]
Use quadratic formula to get possible values of t,
[tex]t_1=\frac{3+\sqrt{69}}{2}[/tex]
[tex]t_2=\frac{3-\sqrt{69}}{2}[/tex]
Hope this helps :)
What is the relationship between the 6s in 675,002 and 385,621
Answer:
The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.
Irene has a checking account. On Monday she writes a $160 check for groceries. Then she deposits $125
into her account. Finally, she writes another check for $40. What was the total change in the amount of
money in Irene's account on Monday?
A. $85
B. - $85
C. $75
D. -$75
E. $325
F. - $325
Answer:
D. - $75Step-by-step explanation:
We mark checks as negative and a deposit as positive:
- 160 + 125- 40Add up to get the total change of:
-160 + 125 - 40 = - 75Correct choice is D
Answer:
Answer :-
Here, Irene is having a checking account. First she write a check of $160. Then means it has an decrease money. (-160) Now, She deposit $125. This means Now, the balance is -160 + 125 = $-35. She again write a check of $40. (-40). Total change =>
-40 - 35
-75
Option D is correct mate!
this whole thing hurts my brain.
Answer:
1.) C. 32
2.) Stem-and-leaf plot
Step-by-step explanation:
This is a stem-and-leaf plot. The stem represents tens and the leaves represent units. To make it easier to look at, it is equivalent to this:
20, 28, 29, 29, 31, 32, 36, 41, 42Now, to find the mean, add up all the numbers and divide the sum by the number of values.
(20 + 28 + 29 + 29 + 31 + 32 + 36 + 41 + 42)/9 = 288/9 = 32
What is
6+4-3+9x10-7+3x28-2=
Answer:
172
Explanation:
the height of each door on the plan is given 1,5cm but the height of each door is 1,92m is an actual size.show that the scale of the house is 1:128
Answer:
It is.
Step-by-step explanation:
1.5cm is in the plan.
1.92m is in real life.
We need to convert m to cm so 1.92m=192cm
The ratio is 1:128.
1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.
We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):
1.5 : 192 = 1 : 128
Then we multiply the numbers that are in and out of the equation like this:
1.5 * 128 = 192 * 1
192 = 192 It is proven beacuse the numbers are equal. The scale of the house is 1:128
Triangle ABC has vertices A(0,7),B(5,-5),and C(10,7). Find the area of triangle ABC?.
Answer:
60 units²
Step-by-step explanation:
A = ½bh
Let the horizontal line AC be the base which has a length of 10 along the line y = 7
The vertical distance between this line and point B is 7 - (-5) = 12
A = ½(10)(12)
Why do both of these show 27,974
In Indian numerical system (or number system) is a written system that is adapted for representing numbers within India.
This is a mathematical notation to consistently represent data of a certain set, with numbers or other symbols.In the numbering system that is implemented in India to write numerals. We utilize ten symbols to symbolize the numbers in the Indian Number System.In the Indian system, the next ten powers are known as one, ten, hundred, lakh, ten lakh, crore, ten crores,... etc.Given:
27,974
[tex]\to \bold{20,000 +7,000+ 900+ 70 +4=27,974} \\\\\to \bold{27\ thousands + 97\ tens + 4\ ones =27,974}\\\\OR\\\\\to \bold{27\ thousands + 9\ hundred + 74 =27,974}\\\\[/tex]
Learn more:
brainly.com/question/21751836
The order that took the longest is represented by point…?
This order had___? Cakes and took___ minutes to decorate.
enter the range of values for x:
12x because you multiply it
cho khối trụ r = 4 và h = 3, thể tích của khối trụ bằng bao nhiêu?
Answer:
12
Step-by-step explanation:
hi vọng điêu nay co ich
5(x-7y)+8(3x+2y)= simplify
Answer:
It is 29x - 19y
Step-by-step explanation:
[tex]5(x - 7y) + 8(3x + 2y)[/tex]
open brackets:
[tex] = 5x - 35y + 24x + 16y[/tex]
group like terms together:
[tex] = (5x + 24x) + (16y - 35y)[/tex]
factorise out x and y :
[tex] = x(5 + 24) + y(16 - 35) \\ = 29x - 19y[/tex]
168/-294 in rational number
Answer:
It is -4/7
Step-by-step explanation:
[tex] \frac{168}{ - 294} \\ \\ = - \frac{4}{7} [/tex]
Answer:
168/-294 × 5/5 = 840/1470
= - 840/ 1470
= 1470
Given g (x)= -x -2 find g (-5)
Answer:
g(-5) = -7
Step-by-step explanation:
given:
[tex]g(x) = -x-2[/tex]
find:
[tex]g(-5) [/tex]
~~~~~~~~~~~~
➡️ [tex] g(-5) = -(-5) - 2[/tex]
➡️ [tex] g(-5) = -(-5 - 2) [/tex]
➡️ [tex] g(-5) = -7 [/tex]
Solve the equation.
} (a + 2) = {(2-a)
WWW.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Type an integer or a simplified fraction.)
B. The solution is all real numbers.
O C. There is no solution.
(Answer quickly)
Given the recursive sequence defined by:
tn=5tn-1 + 3tn-2
with ti=2 and t2 = 4
Which of the following would be the first 5 terms of the sequence?
Answer:
2, 4, 26, 142, 788
Step-by-step explanation:
Using the recursive rule and t₁ = 2, t₂ = 4 , then
t₃ = 5t₂ + 3t₁ = 5(4) + 3(2) = 20 + 6 = 26
t₄ = 5t₃ + 3t₂ = 5(26) + 3(4) = 130 + 12 = 142
t₅ = 5t₄ + 3t₃ = 5(142) + 3(26) = 710 + 78 = 788
First 5 terms are 2, 4, 26, 142, 788
Help please due tomorrow
if M∠ ABD =64 and M∠CBD=30 then M∠ABC=
Need help
Answer:
[tex]\displaystyle m\angle ABC = 34^\circ[/tex]
Step-by-step explanation:
∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:
[tex]\displaystyle m\angle ABD = m\angle ABC + m\angle CBD[/tex]
Substitute in known values:
[tex]\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)[/tex]
And subtract. Hence:
[tex]\displaystyle m\angle ABC = 34^\circ[/tex]
In conclusion, ∠ABC measures 34°.
An artist designs a rectangular quilt piece with different types of ribbon that go from the corner to the center
of the quilt. The dimensions of the rectangle are AB = 10 inches and AC = 14 inches.
Answer: BX = 7
======================================
Explanation:
For any rectangle, the diagonals are the same length and they cut each other in half (aka bisect each other).
This means diagonal BD = AC = 14 and BX = BD/2 = 14/2 = 7. The value of AB is never used.
Answer:
7
Step-by-step explanation:
I get paid $28 per hour i worked on Friday, Saturday and Sunday I got $168 on Friday, $112 on Saturday and $196 on Sunday. What is the total number of hour i worked on these 3 days? answer quick pls
Answer:
17 hours
Step-by-step explanation:
Add up the total amount earned
168+112+196 = 476
Divide by the amount earned per hour
476/28 = 17
17 hours worked over the 3 days
You just got your quiz back from your teacher and it says that you received a 27/45; therefore
your grade on the quiz is a? (percentage)
1/2ac2 where a =5 and b=2
Answer: 10
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
**Disclaimer** I assumed that the [1/2] in [1/2ac2] is a single term and [c2] in [1/2ac2] is b². If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.
Given information
a = 5
b = 2
Given expression
(1/2) · a · b²
Substitute values into the expression
=(1/2) · (5) · (2)²
Simplify exponents
=(1/2) · (5) · (4)
Simplify by multiplication
=(2) · (5)
=10
Hope this helps!! :)
Please let me know if you have any questions
How would I write a number subtracted from 2 times a number is 19
FIRST TO ANSWER CORRECTLY GETS BRAINLIEST!!!
Answer:
6ft by 15ft
Explanation:
L1 = 10 ft
W1 = 4 ft
L2 = L1*(3/2)
W2 = W1*(3/2)
L2 = 10 ft times (3/2) = 15 ft
W2 = 4 ft times (3/2) = 6 ft
I hope this answer helps you out!
The school choir ordered 436 pumpkin pies to sell as a fundraiser. The pies were shipped in 4 bins. Each bin held the same number of pies how many pies were in each bin
109 pumpkins
Step-by-step explanation:
I don't think this is right but