Answer:
a. x=0
b x=-8
c x=49/2
Step-by-step explanation:
a. x2+4=4
subtract 4 from both sides
x2=0
multiply
2x=0
divide by 2
x=0
b x2 + 16 = 0
multiply
2x+16=0
subtract both sides by 16
2x=-16
divide by 2
x=-8
c x2 − 49 = 0
multiply
2x-49=0
add 49 to both sides
2x=49
divide both sides by 2
x=49/2
Answer:
a. X= 0
b. X= undefined or X=4i
c. X= + or - 7
Step-by-step explanation:
a. x² + 4 = 4
when 4 goes to the other side by negative sign it will cancel the other 4. at they equal in magnitude and opposite in sign.
then x² = 0 , where √x²=√0 , finally x=0
b. x² + 16 = 0
16 goes to other side by negative sign too
x² = -16 , where √x²=√-16 , finally x= undefined
due to the negative sign under thr square root.
at √-1 = i then x can be 4i
c. x² - 49 = 0
-49 go to the other side by positive sign
x² = 49 , where √x² = √49 , finally x= + or - 7
where negative sign is neglected at even power
example:
(-7)²=(7)²
a) Write 5.1 x 10^-1as an ordinary number.
Answer:
0.51
Step-by-step explanation:
Explain what a rational exponent such as 5/2 means. Use this explanation to evaluate 9^5/2
Answer: The denominator of the rational exponents represents the index of a rule and the numerator of the rational exponent represents the power of the base.
(sqrt 9)^5= 243
Give one combination of two factors whose product is 0.72, if one of the factors is a whole number greater than 1.
Two factors could be, 0.144 and 5
(x+3)(x-8) Multiply and Simplify
Answer:
x^2-5x-24
Step-by-step explanation:
Given \(\triangle DEF\ :\ \triangle RST\), find the scale factor.
Answer: The required scale factor[tex]=\dfrac43[/tex]
Step-by-step explanation:
Formula : [tex]\text{Scale factor }=\dfrac{\text{Side in image}}{\text{Corresponding side in pre-image}}[/tex]
Here, ED = 3 units in Δ DEF which corresponding to SR = 4 units in ΔRST
Now,
Scale factor for the given transformation = [tex]\dfrac{SR}{ED}[/tex]
[tex]=\dfrac{4}{3}[/tex]
hence, the required scale factor[tex]=\dfrac43[/tex]
Simplify 9x - 4 + 3x
Answer:
[tex]4(3x - 1)[/tex]
Step-by-step explanation:
[tex]9x - 4 + 3x[/tex]
Adding 9x & 3x gives 12x.
[tex] = > 12x - 4[/tex]
Now taking 4 common from both the terms , we get :-
[tex]4(3x - 1)[/tex]
A circle has a diameter of 26 units. What is the area of the circle to the nearest
hundredth of a square unit?
A 81.68
B 530.93
C 2,123.72
D 8.494.87
Answer:
b
Step-by-step explanation:
area = pie x radius(2)
= 3.142 x 13 (2)
= 530.998
Please answer this really fast!
Can you please create me an Order of Operations equations with numbers 5,12,5,11,9. And please give me the answers as well! dont forget to use numbers 5,12,5,11,9. for the equation
THANKS SO MUCH!
Step-by-step answer:
5(12×11)-(5^5)+9
5(12×11)-3,125+9
5(144)-3,125+9
720-3,125+9
-2,405+9
-2,396
Plzzzzz give me Brainliest!!!!!
Now, rename your answer so the fractional part is less than one.
5
5 11
+ = 5
8 8
Which is the least amount?
[A] 1.20 [B] 0.21 [C] 1.02 [D] 1.020
The Answer Is:
B (0.21)
Is there a way to quickly find a function if you have a handful of ordered pairs?
ex. (-6, 10) (-4, 7) (-2, 4) (0, 3) (2, 0) (4, -3)
5.
Which picture shows a rotation of the flag?
(1)
(2)
(3)
(4)
Answer:
4 my good sir
Step-by-step explanation:
A bee flies at 6 feet per second directly to a flowerbed from its hive the bee stays at the flowerbed for 17 minutes, and then flies directly back to the hive at 4 feet per second. It is away from the hive for a total of 22 mins
Answer:
576 feet.
Step-by-step explanation:
5 - 13 = 2 minutes x 60 =120 seconds that the bee spent flying back and forth.
a - Distance = Time x Speed
Time =Distance / Speed
D / 12 + D / 8 = 120, solve for D
b - D = 576 feet from the hive to the flowerbed.
What is the value of the expression "eight more than three times the difference of four and a number" when n =
3?
□44
□19
□17
□11
Answer:
11
Step-by-step explanation:
3 (4 - n) + 8
When n = 3:
3 (4 - 3) + 8
3 (1) + 8
3 + 8
11
Answer:
11
Step-by-step explanation:
Please help I have 30 minutes or I fail this assignment no joke please answer all the questions there's only four.
Answer:
Sorry if I am wrong don´t count on me tho I would wait until someone else answers cause I might be wrong.
1). 9
2). -2
3). i don´t know
4). i don´t know
Step-by-step explanation:
Sorry plz don´t be mad I´m only in 4th grade
a case of fruit weighs 53 kilogram and another weighs 47 kilograms how much weight must be removed from the first case and placed in the second is that they both equal
a . 2 kilograms
b . 4 kilograms
c . 6 kilograms
d . 8 kilograms
There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Fruit weight = 53 kilograms
And, Another weight = 47 kilograms
Now,
Let number of kilograms weights to remove and add = x
So, We can formulate;
⇒ 53 - x = 47 + x
Solve for x as;
⇒ 53 - 47 = x + x
⇒ 6 = 2x
⇒ 2x = 6
⇒ x = 3
Thus, There are 3 kilograms weight must be removed from the first case and placed in the second is that they both equal.
Learn more about the subtraction visit:
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Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. 2. Simplify both sides. Show your work. 3. Is x = 6 a solution to the equation? Why or why not? 4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.
Answer:
x = 7Step-by-step explanation:
Testing if 6 is the solution:
5(x – 3) = x + 135(6 - 3) ? 6 + 135(3) ? 1915 ≠ 196 is not a solution
---------------------------------------------
Solving for x:
5(x – 3) = x + 13 ⇒ open parenthesis5x - 15 = x + 13 ⇒ isolate variable5x - x = 13 + 15 ⇒ simplify4x = 28 x = 28/4x = 7Answer:
x = 7
Step-by-step explanation:
The equation of a line is given below.
9x - 3y=3
Find the slope and the y-intercept.
Then use them to graph the line.
2x-2-(2x-1)=x+4-1-(-3x)
Answer:
-1=x
Step-by-step explanation:
2x-2-(2x-1)=x+4-1-(-3x)
2x-2-2x+1=x+4-1+3x
-1=4x+3
-4=4x
-1=x
Ash is 4 years younger than Gary, and Oak is 5 times Gary's age. The sum of their three ages is 94. Find Gary's age. Show working out. Thanks!!
Answer:
Step-by-step explanation:
If Gary's age is 14 then
Ash is 4 years younger = 14 - 4 = 10
And Oak is 5 times Gary's age = 14 x 5 = 70
So total ages = 70 + 14 + 10 = 94
A rectangular field has an area of 646 square feet. The width of the field is 19 feet. What is the length of he field?
If rectangular field has an area of 646 square feet. The width of the field is 19 feet. Then length of the field is 71.77 feet.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
Area of rectangular field is 646 square feet.
width of the field is 19 feet.
We need to find the length of the field.
Area of rectangle=Length×Width
646=Length×19
Divide both sides by 19
Length=646/9
Length=71.77 feet
Hence 71.77 feet is the length of the field.
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g−9=−19
Help plz
Pleaseeeeee
Answer:
g = -10
Step-by-step explanation:
find the trigonometric ratio
this is geometry with trig
Answer:
tanZ = [tex]\frac{20}{15}[/tex]
Step-by-step explanation:
tanZ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{XY}{ZY} }[/tex] = [tex]\frac{20}{15}[/tex]
Please hurry
5/6x-1/3>1 1/3?
Answer:
-5/18 >4/3
Step-by-step explanation:
Make this brainliest , thank you!
plz show how you got the answer
Hi there! I'm here to help. :)
Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.
To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.
Begin by converting both fractions into improper fractions:
1 1/4 = 5/4
3 1/2 = 7/2
So now our equation looks like this: x + 5/4 = 7/2
Now we need to make it to where we our fractions have the same denominator.
Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.
Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4
Now we have:
1 1/4 = 5/4
3 1/2 = 14/4
Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.
Now our equation looks like this:
x = 9/4
LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.
So, x = 2 1/4. :)
Elimination method
3x + -3 =6
3x + 2y = 16
Answer:
(4,2)
Step-by-step explanation:
hope this answerss
A scale model of the empire state building is 8cm tall. The actual building is 1454 feet tall. What scale factor was used to create the scale model?
Answer:
Scale Factor [tex]= 5540[/tex]
Step-by-step explanation:
As we know -
Scale scale factor [tex]= \frac{L_p}{L_m}[/tex]
[tex]L_p =[/tex] Length of Actual object
[tex]L_m =[/tex] length of the model
Substituting the given values in above equation we get
Scale factor
[tex]= \frac{44317.92}{8} \\= 5539.74\\=5540[/tex]
What is this ?? Pls help
what is the absolute value of -6 please help
Answer:
6
Step-by-step explanation:
its 6
The cost of a 4 pack of apple juice is $ 2.24. Write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.
Answer:
Cost = y/x
Step-by-step explanation:
The cost of a 4 pack of apple juice is $ 2.24.
We need to write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.
As 4 packs = $2.24
1 pack = 0.56
So, the equation can be :
Cost = y/x
