Answers
Answer:
[tex]\text{a. }x=7, x=-7, \\\text{b. }x=16, x=-16, \\\text{c. }x=3, x=-17, \\\text{d. }x=7, x=-7[/tex]
Step-by-step explanation:
For [tex]|x|=y[/tex], we have two cases:
[tex]\begin{cases}x=y, \\x=-y\end{cases}[/tex]
Using this, we can solve all four of the problems:
[tex]\text{a. }|x|=7,\\\begin{cases}x=7, \\x=-7\end{cases}[/tex]
[tex]\text{b. }|2x|=32,\\\begin{cases}x=16, \\x=-16\end{cases}[/tex]
[tex]\text{c. }|x+7|=10,\\\begin{cases}x+7=10, x=\boxed{3,} \\x+7=-10, x=\boxed{-17}\end{cases}[/tex]
[tex]\text{d. }5|x|=35,\\\begin{cases}x=7, \\x=-7\end{cases}[/tex]
Answer:
a) x = 7, x = - 7
b) x = 16, x = - 16
c) x = 3, x = - 17
d) x = 7, x = - 7
Step-by-step explanation:
When you have absolute value on a variable, the variable has two results.
Example:
lxl = 2
x = 2, or x = - 2
a. lxl = 7
x = 7, x = - 7
b. l2xl = 32
l2xl ÷ 2 = 32 ÷ 2
lxl = 16
x = 16, x = - 16
c. lx + 7l = 10
x + 7 = 10
x + 7 = - 10
x + 7 = 10
x + 7 - 7 = 10 - 7
x = 3
x + 7 = - 10
x + 7 - 7 = - 10 - 7
x = - 17
d. 5lxl = 35
5x = 35
5x = - 35
5x = 35
5x ÷ 5 = 35 ÷ 5
x = 7
5x = - 35
5x ÷ 5 = - 35 ÷ 5
x = - 7
Related Questions
Please help me, math is so hard
Answers
Answer:
32 divided by 4 = 8,
8^2 + 8^2 = 128
128: 11^2 = 121 close enough, 11 is your answer
We are finding hypotenuse but first we find the length of all sides of the two squares to find the two sides of the triangle then we find hypotenuse.
Answer:
Step-by-step explanation:
OH you have to find what the lengths of the sides of the squares are, It would have been easier if they made the area 36 because that is a squared number and easy to find but because they didn't you just have to put 32 into a square root and the output would be 5.6.
why are we doing this? because 5.6*5.6=32, the area of the square. that means that 5.6 and 5.6 can be plugged into the A^2+B^2=C^2 equation 5.6^2+5.6^2=c^2 the missing side.
=984 should be the missing side but do the work yourself because that number that I came up with doesn't look right.
In a middle school classroom there are 4 boys for every 6 girls. How many
boys would there be in a classroom with 30 student?
Answers
Answer:
12
Step-by-step explanation:
Answer:
12 boys
Step-by-step explanation:
4/(4+6) × 30
= 4/10 × 30
= 12
Write the algebraic expression for “twice a number n decreased by seven”
Answers
Answer:
2n - 7
Step-by-step explanation:
Nuha is going through a revolving door that needs to rotate
16
0
∘
160
∘
160, degrees to allow her to pass through. The wind pushed the door around
4
0
∘
40
∘
40, degrees. Nuha needs to push it the rest of the way.
Answers
Answer:
The answer is A
Step-by-step explanation: BIG BRAIN
The equation that will tell us the measure of the additional angle, a, that Nuha needs to push the door before she can get out is D: 160 - 40 - a.
To determine the equation that will give us the measure of the additional angle, a, that Nuha needs to push the door before she can get out, we can break down the information provided:
1. The door needs to rotate 160° for Nuha to pass through.
2. The wind pushed the door 40°.
To find the additional angle that Nuha needs to push the door, we can subtract the angle already rotated (40°) and the angle she needs to pass through (160°) from the total rotation angle:
Total rotation angle = Angle already rotated + Angle Nuha needs to push + Additional angle Nuha needs to push
Based on this equation, we can eliminate options A, B, and C since they do not accurately represent the situation.
The correct equation is option D: 160 - 40 - a. This equation represents subtracting the angle already rotated (40°) and the angle Nuha needs to pass through (160°) from the total rotation angle, leaving the additional angle (a) that Nuha needs to push the door.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ4
The complete question:
Nuha is going through a revolving door that needs to rotate 160° to allow her to pass through. The wind pushed the door around 40°. Nuha needs to push it the rest of the way.
Which equation will tell us the measure of the additional angle, a, that Nuha needs to push the door before she can get out?
Choose 1 answer:
A: 160+40= a
B: 40 x 2 = a
C: 160 ÷ 40 = a
D: 160-40-a
A map uses a scale of 1 in. : 25 mi. If the distance between two cities on the map is 3.5, what is the actual distance between the cities?
Answers
Answer:
87.5 miles
Step-by-step explanation:
1. Is the function below linear or non linear? y = -8X2 + 9??
Answers
PLEASE HELP ME ! IMAGE IS BELOW IF YOU GET IT RIGHT I'LL MARK BRAINLIEST
Answers
Answer:
x = 17
y = 8
QPR = 35º
QRP = 60º
Step-by-step explanation:
2x + 1 = x + 18
Subtract x from both sides
x + 1 = 18
Subtract 1 from both sides
x = 17
QPR = 2x + 1
QPR = 2(17) + 1
QPR = 35º
-------------------------------
8y - 4 = 4y + 28
Subtract 4y from both sides
4y - 4 = 28
Add 4 to both sides
4y = 32
Divide both sides by 4
y = 8
QPR = 8y - 4
QRP = 8(8) - 4
QRP = 60º
the net of the rectangular prism is shown below. use a ruler to measure the dimensions of the net to the nearest half centimeter. what is the total surface area of the prism? can someone pls answer this i need the answer asap
Answers
Answer:
the answer is D. 40.5 cm
Si un rombo tiene un lado con medida de 16 pulgadas. Cual es su perimetro . If a rhombus has a side measured 16 inches. What is its perimeter.
Answers
Answer:
64 inches or 64 pulgadas
Step-by-step explanation:
The formula for the perimeter of a rhombus is given as:
P = 4a
Where a = side length of the rhombus
From the above question, side length of the rhombus = 16 inches
Hence, Perimeter of the rhombus = 4 × 16 inches
= 64 inches
La fórmula para el perímetro de un rombo se da como:
P = 4a
Donde a = longitud del lado del rombo
De la pregunta anterior, la longitud del lado del rombo = 16 pulgadas
Por lo tanto, perímetro del rombo = 4 × 16 pulgadas
= 64 pulgadas
Find the value of x in the triangle shown below.
HELP AS SOON AS POSSIBLE:)
Thx<3
Answers
X= 93
Solve by substitution. Please show work!!!
x+4y=-3
x+7y=-12
Answers
[tex] \huge\mathcal\colorbox{red}{\color{pink}{ᶛɲƧཡэʀ}}[/tex]
x = 9
y = -3
Write the equation as a single logarithm.
Pls help!!
Answers
Answer: C
Step-by-step explanation:
Just move the number by the log above the equation
Question 24 of 25
Find the common ratio for this geometric sequence.
72,12,2,1/3,1/18
0
A. 6
o
B. 3
c. 1/3
D.
1/6
Answers
Answer:
[tex]common \ ratio ,r =\frac{a_{2} }{a_{1} } = \frac{12}{72}=\frac{1}{6}[/tex]
option D
Find the area of the thombus.
Answers
[tex]b=6\frac12\,in\,,\quad h=6\,in\\\\\\A=b\cdot h\\\\=6\frac12\cdot6= 6\cdot6+\frac12\cdot6 =36+3\\\\=39\ \text{in}^2[/tex]
whats 7 over 4 =35 over m in solving proportions NO LINKS PLZ
Answers
Hey there!
7/4 = 35/m
CROSS MULTIPLY BOTH of your NUMBERS
7(m) = 4(35)
7(m) = 7m
4(35) = 140
NEW EQUATION: 7m = 140
DIVIDE 7 to BOTH SIDES
7m/7 = 140/7
CANCEL out: 7/7 because that gives you 1
KEEP: 140/7 because that gives you the value of m
140/7 = m
Solve above and you have the answer of m
140/7 = 20
Therefore, the value of m = 20
Answer: m = 20
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
√96 how do i solve this and it can't be a decimal
Answers
It would be the square root of 16*6 and the square root of 16 is 4
So in conclusion 4 square root sign 6
Use trig to find the legs of ABC if the base is AC and the height is BC (round to nearest tenth)
Answers
Answer:
GIVEN :-
∠A = 15°Length of AB (hypotenuse) = 60 ftTO FIND :-
Length of BCLength of ACArea of ΔABCFACTS TO KNOW BEFORE SOLVING :-
[tex]\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}[/tex][tex]\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}[/tex]SOLUTION :-
In ΔABC ,
[tex]\sin 15 = \frac{BC}{60}[/tex][tex]=> 0.2588... = \frac{BC}{60}[/tex]
[tex]=> BC = (0.2588....) \times 60 = 15.5291.....[/tex] ≈ 15.5 ft
[tex]\cos 15 = \frac{AC}{60}[/tex][tex]=> 0.9659..... = \frac{AC}{60}[/tex]
[tex]=> AC = (0.9659.....) \times 60 = 57.9555.....[/tex] ≈ 58 ft
Area of ΔABC = [tex]\frac{1}{2} \times 58 \times 15.5 = 449.5 \:ft^2[/tex]
2х + Зу = 5
у= 5 - x
also need method
Answers
Answer:
x=10, y=-5
Step-by-step explanation:
2x+3y=5, y= 5-x; change y to 5-x:
2x+3(5-x)=5
2x-3x+15=5
-x=5-15
-x=-10
x=10
=>y=5-x=5-10=-5
HELP ASAP PLZZZZ BRAINLIST
Answers
Answer:
b
Step-by-step explanation:
Answer:
It's C!
Step-by-step explanation:
4) The center, or the middle number, of spread C is 5.
5) The spread, or beginning to last number, of spread C is 3 to 7.
6) The numbers in spread C are symmetrical.
Anyone know (Worth lost of points, will mark brainliest!)
*I also do not accept links, Sorry!
Answers
—————-
I forgot how to get the mean, help is appreciated :) I've got the other ones though! ^^
Answers
To find the mean, add up all the numbers in the data set. After, divide by how many numbers are in the data set. Try it out with your data. If you need help with the actual answer, feel free to write in the comment box.
Hope this helps.
Convert 5/6 to an improper fraction[tex]\frac{??}{?}[/tex]
Answers
Answer:
5/6 is he answer there isn't any other way for it to be improper
hope this helps
have a good day :)
Step-by-step explanation:
help what shape is this :,)
Answers
Answer:
Rectangular prism
Step-by-step explanation:
Answer:
Rectangular prism
Step-by-step explanation:
<3 Addie and Austen
Whats 300+300
' ' '' '
Answers
Answer:600
Step-by-step explanation:
Mia spent $30 to fill 10 gallons of gas in her minivan. How much does 6 gallons of gas cost?
Answers
Answer:
$18
Step-by-step explanation:
6/10 × $30 = $18
______
Paige is ⅕ her mother's age. If the sum of their ages us 30, how old is Paige?
Answers
Answer:
I think it's 6 but im not sure
hope this helps
have a good day :)
Step-by-step explanation:
any one know this one maybe
first drop down says origin, y axis, x axis. Second drop down says transformation, diolation, movment upwards, and translation
Answers
Answer:
I have no clue,
Step-by-step explanation:
I just wanted the points
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answers
Answer:
2n^3
Step-by-step explanation:
Please help i'' give 20 points
Answers
Answer: Answer is C. but if you want to double check before giving this in pls use a greater than less than calculator.
Step-by-step explanation:
(7 x 10^5) ÷(2 x 10²)
Answers
Answer:
[tex]3.5 * 10x^{3}[/tex]
Expanded Form:
3500
Step-by-step explanation:
Hope this helps!