Answer:
2,-12
Step-by-step explanation:
The given equation is ,
[tex]\implies |x + 5 | = -7 [/tex]
We know that modulus only gives positive value , Therefore on squaring both sides we have ,
[tex]\implies (x + 5 )^2=( -7)^2 \\\\\implies (x+5)^2=7^2\\\\\implies x + 5 =\pm 7 \\\\\implies x = 7-5,-7-5 \\\\\implies \boxed{ x = 2, -12} [/tex]
Define Rise over Run and Define Slope.
Please help me I need it asap!
Answer:
Rise= y-axis
Run=x-axis
Slope=rate of change
Step-by-step explanation:
Think of run as you are running on the ground. The x-axis is positioned to look like you would be able to run on a flat horizontal line. When it is referring to run, it means the y-axis because when you run you go up in a way, just like the y-axis. Rise and Run is a phrase used to represent slope because it is indicating that to calculate slope, you take your "y" value over your "x" value as in a fraction. For example [tex]\frac{y}{x}[/tex]. Slope is just how fast a certain unit is changing at a consistent "speed".
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = - (x - 8). What is
the slope-intercept form of the equation for this line?
O y=1/4x - 12
O y= 1/4x-4
O y= 1/4x +2
O y=1/4x+6
3/4 ploted on a number line
Answer:
3/4 = 0.75
- 1 - 2 - 3 - 4
3/4 so its 321 colored
Step-by-step explanation:
help pls and explain!!!
If x^2 + kx + 6 = (x+n)(x + 3) for all values of x, where k and n are constants, what is the value of k?
A) 5
B) 3
C) 2
D) 1
Answer:
A) 5
Step-by-step explanation:
We are given that:
[tex]x^2+kx+6=(x+n)(x+3)[/tex]
Where k and n are constants.
And we want to find the value of k.
We can expand the right-hand side:
[tex]\displaystyle =x(x+n)+3(x+n)\\ \\ = x^2+nx+3x+3n \\ \\ = x^2 + (n+3)x+3n[/tex]
Hence:
[tex]x^2+kx+6=x^2+(n+3)x+3n[/tex]
The coefficients of each term must be equivalent. In other words:
[tex]k=n+3\text{ and } 6=3n[/tex]
Solve for n:
[tex]n=2[/tex]
Now, we can solve for k:
[tex]k=(2)+3=5[/tex]
Our answer is A.
PLEASE HELP!!!
Solve for x in the following equation!!!
[tex]sin(\frac{3\pi }{2}+x) + sin(\frac{3\pi }{2}+x)=-2[/tex]
Answer:
Step-by-step explanation:
First we'll simplify this using the Sum Identity for sin(x + y) where [tex]x=\frac{3\pi}{2}[/tex] and y = x. Notice we have 2 of those so we simplify first into
[tex]2sin(\frac{3\pi}{2}+x)=-2[/tex] and divide away the 2 on the left to get
[tex]sin(\frac{3\pi}{2}+x)=-1[/tex] and now we'll expand:
[tex]sin\frac{3\pi}{2}cosx+cos\frac{3\pi}{2}sinx=-1[/tex] and go to your unit circle to find the sin and cos of [tex]\frac{3\pi}{2}[/tex] and fill in where they go:
(-1cosx + 0sinx) = -1 which simplifies to
-1cosx = -1 so
cosx = 1 and
x = 0 or 2π, depending upon what your interval is.
The 20th term of an arithmetic progression 1,5,9,13......
Answer:
a₂₀ = 77
Step-by-step explanation:
There is a common difference between consecutive terms , that is
5 - 1 = 9 - 5 = 13 - 9 = 4
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 4 , then
a₂₀ = 1 + (19 × 4) = 1 + 76 = 77
write the following expressions as an exponential term with a single base
(4*2^5)÷(2^3 *1/16)
Answer:
2^8
Step-by-step explanation:
(4*2^5)÷(2^3 *1/16)
[tex]\left ( 4\times 2^5 \right )\div \left ( 2^3\times \frac{1}{16} \right )\\\\2^7 \div 2^{-1}\\\\2^7\times 2^1\\\\2^8[/tex]
Bonnie made a scale drawing of a theater. The scale of the drawing was 2 inches =
1 foot. If the stage is 40 inches in the drawing, how wide is the actual stage?
55
Answer:
20 foot.....................
The area of a wall in a house is 10.37 square metres. If a can of paint covers 3.1 square metres, how many cans of paint are needed to paint the wall?
Answer:
4 cans of paint
Step-by-step explanation:
Take the area of the wall and divide by the area that the can of pain will cover
10.37 / 3.1
3.34516129 cans
We need to round up to make sure we buy enough cans of paint
4 cans of paint
We can take area as,
Area = A
The required formula is,
→ A of wall ÷ A that paint's can will cover
Then find the no. of cans of paint that are needed to paint the wall.
Now use the formula,
→ A of wall ÷ A that paint's can will cover
→ 10.37 ÷ 3.1
→ 3.34516129032
→ 4 cans (by nearest value)
Hence, we need 4 cans to paint the wall.
Find the measurement of ∠D and ∠C
Answer:
∠D = 125° and ∠C = 55°
Step-by-step explanation:
We should first solve for variable x, which should give us angle C, and then solve for angle D.
[tex]3x+15=180[/tex][tex]3x=165[/tex][tex]x=55[/tex]°Thus ∠C = 55°
Knowing that supplementary angles add to 180°, we set up the equation:
[tex]55+D=180[/tex][tex]D=125[/tex]°Thus ∠D = 125°
PLEASE HELP ME <3!!!
Answer:
Wasim has enough money.
Step-by-step explanation:
1. find the area of the garden path:
600 cm x 120 cm = 72,000 sq. cm
2. find the area of each stone:
it is a square of 30 cm by 30 cm, so:
30 cm x 30 cm = 900 sq. cm
3. find how many stones can fit in the path:
72,000 / 900 = 80 stones
4. multiply that by the price of each stone:
80 stones x $2.50 = $200
Wasim's budget is $220 and the stones will only cost $200, so it is within the budget
PLS HELP (algebra 1)
solve -19d + 8(7d - 14)
Answer:
[tex]\huge\boxed{-19d + 8(7d - 14)=37d-112}[/tex]
Step-by-step explanation:
[tex]-19d + 8(7d - 14)[/tex]
use the distributive property: a(b + c) = ab + ac
[tex]-19d + (8)(7d)+(8)(- 14)=-19d+56d-112[/tex]
combine like terms
[tex]=(-19d+56d)-112=37d-112[/tex]
Why does it say your phone is being attacked and then said something with 26 when I go on a website is it lying or do I have a virus?
Answer:
If you go to a website that has a red (or orange) triangle with an exclamation mark next to the link, it's an untrusted site. The things you list (your phone is being attacked and then said something with 26..) are likely to be scam ads (probably viruses). Therefore, I do not recommend you to click the ads or enter that site again.
If 1 pint is equal to 2 cups, then 5 pints would equal how many cups
If 1 pint is equal to 2 cups then 5 pints equals 10 cups
5 times 2 equals 10.
Question 19 (5 points)
Determine the measure of
82.49
43.1°
55.0° °
46.3°
Answer: 43.1 degrees (choice B)
==================================================
Work Shown:
Use the law of sines
sin(A)/a = sin(C)/c
sin(A)/20 = sin(82)/29
sin(A) = 20*sin(82)/29
sin(A) = 0.68294349
A = arcsin(0.68294349)
A = 43.074088
A = 43.1 degrees
Answer:
43.1°
Step-by-step explanation:
Hello, just finished the quiz and the correct answer is 43.1 degrees.
not a school-related question:
Best places to get ripped jeans or just skinny/curvy jeans
Answer: I gotta say forever 21, American eagle, rue21, and Aeropostale.
Step-by-step explanation:
Simplify
a)78.5÷3.14
b)56.272×41.2
c)4 4/7÷5 1/3
I need step by step explanation pls
Answer:
[tex]78.5 \div 3.14 \\ = 25 \\ \\ 56.272 \times 41.2 \\ = 2318.4067 \\ \\ 44 \div 7 \div 51 \div 3 \\ = 0.04[/tex]
−3x−6+(−1)
need answer pls
Step-by-step explanation:
−3x−6+(−1)
-3x-7
Hope it helps youAnswer:
−3 −7
Step-by-step explanation:
-3x-6-1
-3x-7
What is the answer??
Answer:
80°
Step-by-step explanation:
Triangle ABC and CYZ are similar so the angles would also be same
Which of the following statements is true?
A) All squares are rectangles.
B) All parallelograms are rectangles.
C) All rhombuses are squares.
D) All rectangles are squares. (D is Not the answer)
2(4+2x)≥5x+5 solve inequality
Answer:
x ≤ 3
Step-by-step explanation:
2(4+2x)≥5x+5
8+4x≥5x+5
4x-5x≥5-8
-x≥-3
x ≤ 3
[tex]\tt\displaystyle\2(4+2x)\geq 5x+5\\\\8+4x\geq 5x+5\\\\4x-5x\geq 5-8\\\\-x\geq -3\\\\x\leq 3 \\\\Answer: x\leq 3 \quad or \quad x\in(-\infty;3][/tex]
If the 5th term in a geometric sequence is 162, and the common ratio is 3. What is the first term in the sequence?
======================================================
Explanation:
To get the 6th term, we multiply the fifth term by the common ratio
6th term = (fifth term)*(common ratio)
6th term = 162*3
6th term = 486
The 7th term is found by tripling 486, and so on.
To get the fourth term, we go in reverse of this process. We'll divide 162 by 3 to get 162/3 = 54
The third term is then going to be 54/3 = 18
The second term is 18/3 = 6
The first term is 6/3 = 2
-----------------------
Here's another way we can solve this question.
The nth term of a geometric sequence is a*(r)^(n-1)
We know that the common ratio is 3, so r = 3.
The 5th term is 162, meaning plugging n = 5 into that expression above leads to 162, so,
a*(r)^(n-1)
a*(3)^(n-1)
a*(3)^(5-1) = 162
a*(3)^4 = 162
a*81 = 162
81a = 162
a = 162/81
a = 2 is the first term
-----------------------
The first five terms of the geometric sequence are:
2, 6, 18, 54, 162
Each time we go from left to right, we're multiplying by 3. Going in reverse (right to left), we divide by 3.
Multiplying by 1/3 is the same as dividing by 3.
pls help w work shown!!
1 cubit = 6 palms , 2 cubit = 3 roman feet , 1 Roman foot = 296 millimeters.
Cubits, palms, and Roman feet are linear measurements that were used in ancient Rome.
Based on the relationships shown above, how many
millimeters equals 1 palm?
A) 16
B) 36
C) 72
D) 74
Answer:
D) 74
Step-by-step explanation:
1c = 6p
1c = 1.5f
1f = 296
6/1.5 = 4
296/4 = 74
What is the point-slope equation of a line with slope -3 that contains the point
(-8,-4)?
O A. y+ 4 = -3(x+8)
B. y+ 4 = -3(x-8)
C. y-4 = -3(x-8)
O D. y- 4 = -3(x+ 8)
Answer:
y + 4 = -3(x + 8)
Step-by-step explanation:
y + 4 = -3(x + 8)
Whose solution strategy would work?
Answer:
1452628383763637£838
Answer:
B
Step-by-step explanation:
If f(x) = 7x - 3 and g(x) = x^2, what is (g° 0(1)?
( f ∘ g ) ( x ) is equivalent to f ( g ( x ) ) . We solve this problem just as we solve f ( x ) . But since it asks us to find out f ( g ( x ) ) , in f ( x ) , each time we encounter x, we replace it with g ( x ) . In the above problem, f ( x ) = x + 3 . Therefore, f ( g ( x ) ) = g ( x ) + 3 . ⇒ ( f ∘ g ) ( x ) = 2 x − 7 + 3 ⇒ ( f ∘ g ) ( x ) = 2 x − 4 Basically, write the g ( x ) equation where you see the x in the f ( x ) equation. f ∘ g ( x ) = ( g ( x ) ) + 3 Replace g ( x ) with the equation f ∘ g ( x ) = ( 2 x − 7 ) + 3 f ∘ g ( x ) = 2 x − 7 + 3 we just took away the parentheses f ∘ g ( x ) = 2 x − 4 Because the − 7 + 3 = 4 This is it g ∘ f ( x ) would be the other way around g ∘ f ( x ) = 2 ( x + 3 ) − 7 now you have to multiply what is inside parentheses by 2 because thats whats directly in front of them. g ∘ f ( x ) = 2 x + 6 − 7 Next, + 6 − 7 = − 1 g ∘ f ( x ) = 2 x − 1
Hello,
[tex]f(x)=7x-3\\g(x)=x^2\\\\(fog)(x)=g(f(x))=g(7x-3)=(7x-3)^2=49x^2-42x+9\\\\(gof)(x)=f(g(x))=f(x^2)=7x^2-3\\\\(fog)(0)=g(f(0))=49*0^2-42*0+9=9\\\\(gof)(0)=f(g(0))=7*0^2-3=-3\\[/tex]
Since i don't know what is (g°O(1) and you haven't correct your question ,
i has put the 2 possibles answsers.
Sam rolls a fair dice and flips a fair coin.
What is the probability of obtaining an odd number and a head?
Answer:
The probability that this occurs is 25%, as 3/6 (chance to roll an odd number) multiplied by 1/2 (chance to flip a head) is .25.
Step-by-step explanation:
Which of the following is the explicit rule for a geometric sequence defined by
a recursive formula of a, - 138-1 for which the first term is 7?
Answer:
C
Step-by-step explanation:
What you wrote is not the same thing as what the question is, or at least I don't think so. I'll answer the printed question.
First of all, the 13 is what separates each of the terms. In other words 7 is the first term. 13 must be raised to the n - 1 power.
It is written like this
an = 7 * 13^(n - 1)
you want a1 to be 7. The only way that can happen is if 13^0 which gives you 1.
So the correct answer is C
The side of an equilateral triangle is 22. Find the exact length of the altitude.
Use the exact value, meaning leave your answer with a radical.
PLEASE HELP THE TEST IS DUE IN 5 MINS
Step-by-step explanation:
here's the answer to your question
A high school held an election for class president. Exactly 1,000 votes were cast and they were all for either Gillian or Clive. Gillian received 100 more votes than Clive. What percent of the 1,000 votes were for Gillian?
Answer: 60%
1000÷2=500
Clive: 500-100= 400
Gillian: 500+100= 600 (Because Gillian has 100 more votes than Clive)
[tex] \frac{600}{1000} \times 100\% = 60\%[/tex]
If Gillian received 100 more votes than Clive, Gillian received 55% of the 1,000 votes.
To determine the percentage of votes for Gillian out of the total 1,000 votes, we need to calculate the proportion of votes that Gillian received.
Given that Gillian received 100 more votes than Clive, we can set up the equation:
Votes for Gillian = Votes for Clive + 100
Let's denote the number of votes for Clive as C. Therefore, the number of votes for Gillian is C + 100.
The total number of votes is 1,000, so we have the equation:
C + (C + 100) = 1,000
Simplifying, we find:
2C + 100 = 1,000
2C = 900
C = 450
Therefore, Clive received 450 votes and Gillian received 450 + 100 = 550 votes.
To calculate the percentage of votes for Gillian, we divide her votes by the total votes and multiply by 100:
(550 / 1,000) * 100 = 55%
To learn more about percentage click on,
https://brainly.com/question/13228217
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