Answers
Step-by-step explanation:
Hey there!
Given;
[tex] = \sqrt{ {z}^{2} + 8z + 16} [/tex]
Looking through question, we can bring it to perfect square to remove the (√) sqrt.
[tex] \sqrt{( {z)}^{2} + 2.4x + {4}^{2} } [/tex]
We made this to bring it in the form of (a+b)^2. As (a+b)^2 = a^2 + 2.a.b + b^2.
Now, our question looks like similar to the formula.
So, We can write it as:
[tex] \sqrt{( {z + 4)}^{2} } [/tex]
Now, we can cancel (√) and (^2). And we get
= z + 4
Hope it helps...
Related Questions
A bag of flour weighs 5 pounds. The flour is priced per ounce. How many ounces of flour are in the bag
Answers
Carlos picked one of four equations in the table to solve. Carlos correctly solved the equation he chose. His answer was x = 5.
Equation 1 6x + 40 = 82
Equation 2 12x- 1 = 2
Equation 3 2x + 21 = 31
Equation 4 18x+ 9 = 13
Which equation did Carlos choose to solve?
Answers
How many integers between 2020 and 2400 have four distinct digits arranged in increasing
order? (For example 2957 is one such integer)
(B) 10
(C) 15
(D) 21
e 28
Answers
Answer:
the answer is E
Step-by-step explanation:
We want to find how many integers are between 2020 and 2400 such that a criteria is meet, and the criteria is that the four digits are different and are arranged in increasing order.
We will see that there are 15 of these numbers between 2020 and 2400, so the correct option is C.
---------------------------
To count the number of digits that meet the given criteria, we first need to analyze how the criteria is.
If the numbers must be in increasing order, then the smallest number that can be in the hundreds place is 3 (the smaller integer larger than 2).
so we have:
23__
The number next to the 3 can be a 4, for example:
234_
And the final number can be any number larger than 4, so we have {5, 6, 7, 8, 9} a total of 5 options.
If instead of a 4, the number next to the 3 is a 5, we have:
235_
And the number next to the five can be any digit larger than 5, so now we have 4 options.
If instead of a 5, we have a 6, we will have 3 options to put after the 6.if instead of a 6, we have a 7, we will have 2 optionsif instead of a 7, we have an 8, we will have 1 option.Now, we can't have another number than a 3 in the hundreds place, because if we put a 4 there, we are out of the range, and 3 is the smallest digit that we can use there.
Then we already saw all the possible numbers that we can make, adding the numbers of options that we got above we will get:
5 + 4 + 3 + 2 + 1 = 15
This means that are 15 of these numbers between 2020 and 2400. Then the correct option is C.
If you want to learn more, you can read:
https://brainly.com/question/3730774
how do you solve for Y
problem #5
Answers
9514 1404 393
Answer:
y = 26
Step-by-step explanation:
You have already correctly solved for x, so you know that ...
m∠8 = 4(17)+10 = 78
Angle 12 is an alternate interior angle with respect to angle 8, so is congruent to angle 8.
m∠12 = m∠8
3y = 78
y = 78/3 . . . . divide by the coefficient of y
y = 26
The probability that a randomly selected student from a college is female is 0.55. The probability that a randomly selected student from this college works for more than 10 hours per week is 0.62. The probability that a randomly selected student from this college is female and works for more than 10 hours per week is 0.23. What is the probability that a student selected at random from this college is female or works for more than 10 hours per week?
Answers
Answer:
p(male) = 0.45
P(works 10) = 0.62
------
P(male AND works 10) = 0.45*0.62 = 0.279
Step-by-step explanation:
Hope this helps man, sorry that troll took up one of your answer spots.
Can somebody help me with this question plz!
Answers
Answer:
x = 5°
Step-by-step explanation:
Because of the given congruency,
Angle A = Angle D = 50° = 10x
10x = 50
x = 5°
HOPE IT HELPS!!!
if y varies directly with x and x increases by 2 , is it possible to determine by how much y increases or decreases . yes or no and why
Answers
Since it varies directly, you would have to find what percentage of x the value 2 is and increase y by the same percent
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
y ∝ x
y = kx
Where k is a constant and it can be any integer.
If y varies directly with x.
Yes, it is possible to determine by how much y increases or decreases as x increases.
If x increases by 2 then y also increases by 2.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
y varies directly with x.
This can be written as an equation,
y ∝ x
y = kx
Where k is a constant and it can be any integer.
Now,
If x increases by 2.
y = 2k
If k = positive integer
Then y will increase by 2k.
If k = negative integer
Then y will decrease by -2k
So,
Yes, it is possible to determine by how much y increases or decreases.
Thus,
If y varies directly with x.
Yes, it is possible to determine by how much y increases or decreases as x increases.
Learn more about equations here:
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Show work on this pls
Answers
Answer:
6.29
Step-by-step explanation:
so you know that the unknown side which is 7x + 27 equals 71.
You can begin by subtracting 27 from 71 which will give you 44.
you then know that 44 = 7x
then you just have to do 44 divided by 7 to find x which isss...
look above at answer
Identify the scale factor
Answers
Answer:
Step-by-step explanation:
k = 4/24 = 1/6
Answer:
The scale factor is 1/6.
Step-by-step explanation:
the larger triangle is 6 times larger than the small triangle because 24 divided by 4 is 6, so therefore the scale factor of the big triangle to the small triangle is 1/6.
using the slope formula find the slope of the line through the points (0,0) and (3,9) use pencil and paper explain how you can use mental math to find the slope of the line
Answers
Answer:
The answer is 3
Step-by-step explanation:
The slope is the intensity of inclination thus the slope of the line that passes through points (0,0) and (3,9) is 3.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
The slope of a line that passes through (x₁, y₁) and (x₂, y₂) is,
Slope = (y₂ - y₁)/(x₂ - x₁)
Since the given line is passing through (0,0) and (3,9).
Slope = (9 -0)/(3 - 0)
Slope = 3
Since the line is passing through the origin (0,0) so we can do it by mental math to divide y and x coordinate directly like 9/3 = 3.
Hence "The slope is the intensity of inclination thus the slope of the line that passes through points (0,0) and (3,9) is 3".
To learn more about slopes,
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how to find the slope from a table of data
Answers
The slope of a linear line (or a linear equation) can be found by simply taking 2 values for x and y and then using the slope formula which is [tex]\frac{dy}{dx}[/tex] or:
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]
Example:
Let's say you're give this table:
x: 1, 2
y: 1, 2
Following the steps which I gave, you take 1 value for the y (preferably the larger one) which in this cause will be 2 and then another y from the table which would be 1
Do the same for x
Now plug the values taken in the slope formula and you get:
[tex]\frac{2 - 1}{2 - 1}[/tex]
[tex]\frac{1}{1} = 1[/tex]
Therefore the slope is 1.
Answer:
Rise/run
Rise over run.
Step-by-step explanation:
To find the slope pick two perfect spots on the line when the coordinates are not decimals.
Then, take those two points and figure out the distance. You will use rise/run.
so rise is how much you either go up or down and run is how much you either go right or left. so how much you'll go up or down? how much will you move right or left?
Lets say you have to go up 5 and then left 7 to get to the coordinate.
That's your slope! you went up so it's positive and you went left so it's negative. Rise over run : rise 5 left 7 so, 5 and -7 which is 5/-7 and that's your slope!
State the domain and range of this function
Answers
Answer:
Domain; -5,9
Range; -3,-1
help if you can please! if you can't please don't answer so people who know the answer can. i appreaciate every answer i get <3
Answers
Answer:
Answer is D) 15.
Step-by-step explanation:
You check this by plugging 15 into x which would make both equations equal 0.
You can also use the desmos online graphing calculator and type both equations in and then just look for the solution (the point at which they both intersect).
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax. The restaurant only sells pancakes in stacks of 4 pancakes for $5.50.
Let S represent the number of stacks of pancakes that Benjamin buy
Answers
Answer: 3.25+5.50S≤30 and 16 pancakes
Step-by-step explanation: did it on khan.
At the store 5 lbs of apples costs $6.70. What is the constant of proportionality that relates x, pounds of apples to y, cost in dollars?
Answers
Answer:
5x=6.70y
Step-by-step explanation:
Simplify
15 – (-3) - 4
Answers
Answer:
15 - (-3) - 4
15 + 3 - 4
18 - 4
14
Answer: 41
Step-by-step explanation:
Two consecutive integers whose sums is 243
Answers
9514 1404 393
Answer:
121, 122
Step-by-step explanation:
The average of the two integers will be halfway between them. It is ...
243/2 = 121.5
The two integers are 121 and 122.
Answer:
80,81,82
As the question should be:
Three concecutive integers whose sum is 243
m+7=3+m+4
what is the value of m
Answers
Answer:
21
Step-by-step explanation:
bc 9+10
ANSWER THIS QUESTIONS FOR BRAINLIEST AND EXPLAIN HOW U GOT THE ANSWER AND IF YOUR TO LATE THEN JST TELL AND EXPLAIN IT TO GET BRAINLIEST!!!!!!!!!!
Answers
Answer:Step-by-step explanation:
im prittty sure it is 9.5 times 7 wich would be 66.5 but i could be rong dont be mad f i am
which equation represents the line that passes through points (5,4) and (-5,0)
Answers
Answer:
-5
Step-by-step explanation:
0-4
over
-5-(-5)
slope= -4/0
You pay 1.5% interest on your credit card bill every month. This month your
bill was $3,475. How much did you pay in total?
Answers
Answer:
Step-by-step explanation:
Bill=3475
Interest=1.5%
Total payment made=3475+3475x1.5/100
=3475x101.5/100
=3527.125$ is the total payment (answer)
A deck of cards contains 52 cards. These cards consist of four suits (hearts, spades, clubs, and diamonds) of each of the following 2.3.4.5, 6, 7, 8, 9, 10, jack,
queen, king, and ace. If a card is chosen from a deck of cards, find the probability of drawing a 6
The probability of drawing a 6 is
(Type a whole number or a simplified action.)
Answers
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Probabilities.
Here, In the game of cards, we have total number of 52 cards in a deck. Since here we have to find the probability of Card 6 from the whole deck.
Let's solve,
Total Number of Cards we have = 52
Total number of 6 numbered Cards in deck = 4
Hence, probability = Favourable Outcomes ÷ Total No. of Outcomes.
So, the Probability of getting a 6 Card = 4/52
= 1/13
Hence the probability is 1/13.
A scale model of a human heart is 190 Inches long. The scale is 34 to 1. How many Inches long is the actual
heart? Round your answer to the nearest whole number.
Answers
Answer:
6 inches long
Step-by-step explanation:
190/x = 34/1
34x = 190
x= 5.588235294
rounded to the nearest whole number is 6
4n + 20 = 53 – 2n
5.2
-5.3
-5.5
5.5
Answers
4n+20=53-2n
Se agrupan: las literales van del lado izquierdo y los numeros del lado derecho.
4n<—se queda igual.
+2n<—se pasa al otro lado con el signo contrario...estaba negativo, pasa positivo.
Esto es igual a...
53 <—está del lado derecho, se queda igual
-20<—pasa al otro lado con el signo contrario.
Entonces queda:
4n+20=53-2n
4n+2n=53-20
6n=33
n=33/6=5.5
what is y - 1 = -5/2(x + 2) in pre-algebra standard form
Answers
Answer:
y=-5/2x-4
Step-by-step explanation:
y-l=-5/2(x+2)
Distribute the -5/2 to (x+2)
y-1=-5/2x-5
Add on on both sides of the equal sign
y=-5/2x-4
If this is not the right answer that you are looking for it is because I'm not in pre-algebra I just wanted to try to help.
Comment first and I will give you the brainliest.
Answers
Answer: hello how has your day been
Step-by-step explanation:
True or false. You can use the slope to find a second point on a graph by starting at the y- intercept, and moving up (rise) & over (run) a certain amount of unit spaces.
Answers
The bar diagram represents 24 hours in one day and shows a mark at 30%.
If you sleep 30% of the day, how many hours do you sleep? Enter your answer in the box.
Answers
Answer:
7.2
Step-by-step explanation: because you have to divid
Can you guys help i’m kinda struggling
Answers
Answer:
C.) SSA
Step-by-step explanation:
This took me awhile to figure out if the angles in between are equal
But all the sides that are congruent make up several smaller triangles that are congruent and then use CPCTC to use angles of the smaller triangles to show the angles are equal
Find the total cost of the glue sticks then the cost of the crayons. Find the total then subtract it from the $80. *
Answers
Answer:
16.32
Step-by-step explanation: