Answers
Answer:
x = ±√17
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side of the equation, you do to the other.
Also note that the x has a power of 2. To isolate the x, simply root both sides of the equation.
x² = 17 ; √x² = √17 ; x = ±√17
~
Related Questions
Question: Write an expression for each statement to represent the quantity in terms of its context. 1. A car rents for $35 per day plus 15 cents per mile driven. 2. The sum of three consecutive even integers. 3. One-fifth of the sum of r and 7 minus the product of 9 and s 4. On a farm, the number of cows is 70 more than half the number of goats and sheep.
Answers
Answer:
Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.
Step-by-step explanation:
Find the value of x that will make L || M
Answers
Answer:
The value of x = 7 to make lines L and M parallel.
F is between C and B. If CF = 7x+4, FB = 10x -69, and CB = 12x -25. Find x and CF
Answers
Answer:
x = 8CF = 60Step-by-step explanation:
CF + FB = CB
(7x+4) +(10x-69) = (12x-25)
5x = 40 . . . . . . . . add 65-12x
x = 8 . . . . . . . . . . divide by 5
CF = 7x +4 = 7(8) +4 . . . . use the x value in the expression for CF
CF = 60
6x+2y=12 how do I show my work
Answers
3x+y-6=0
move variable
6x=12-2y
divide
x=2-1/3y
solve
Final answer:
x=2
Explanation: I knew that 6+6 would equal 12, so I decided to make the 2 in the equation into a 6 by plugging in 3 to y. Then, I plugged in one to make it stay a 6. To check my work, 6(1)+2(3)=12
Please include an explanation, i am confused. Thank you
Answers
Explanation:
Let's say,
(x1,y) (x2,y2)
are two points in a
xy
plane. We can find the shortest distance between two point by applying the distance formula stated as:
Distance
=√(x2−x1) 2+(y2−y1) 2
So by putting our given points
(x1,y1)=(6,−5) and (x2,y2)=(−1,−4)
in the distance formula, we have:
¯¯¯¯¯¯CD=√(−1−6)2+(−4−(5)2
Simplify to get:
5√2
WILL MARK FIRST ANSWER AS BRAINLIEST
Write an equation for the following (put the EQUATION in the answer box):
Jamie spends the same amount of money each morning. On Sunday, he bought a newspaper for $1.25 and bought 2 donuts. On Monday, he spent $0.50 on a newspaper and also bought 5 donuts. How much does each donut cost?
1.25+2x=.50+5x
Find the cost of a donut in #17
Answers
Answer:
$0.25 per donut.
Step-by-step explanation:
So, we know that Jamie spends the same amount of money each morning.
On Sunday, he spent $1.25 on a newspaper and bought 2 donuts.
On Monday, he spent $0.50 on a newspaper and bought 5 donuts.
Since he spend the same amount of money each morning, we can say that:
[tex]1.25+2x=0.5+5x[/tex]
Where x represents the cost per donut.
So, to find the cost of a donut, we need to solve for x.
So, let's try to isolate the x. Subtract 2x from both sides:
[tex](1.25+2x)-2x=(0.5+5x)-2x[/tex]
The left side cancels. Subtract on the right:
[tex]1.25=0.5+3x[/tex]
Now, let's subtract 0.5 from both sides:
[tex]0.75=3x[/tex]
To find x, divide both sides by 3:
[tex]x=0.75/3[/tex]
Divide:
[tex]x=0.25[/tex]
Therefore, each donut cost $0.25.
And we're done!
If tan 0=3/4 find csc0
Answers
Answer:
tanθ = 3/4 p/b
using Pythagoras theorem
H² = P² + b²
H² = 3²+ 4²
H² = 25
H = 5
cosθ = B/H = 4/5
busco novia lesbiana mi inta es Arianaprince1
Answers
Answer:
Step-by-step explanation:
Ok que bueno sigue tu sueño amiga
Point B has 3 lines extending from it. One line extends to point A, another to C, and another to D. Angle A B D is a right angle. Which information do you know is true from the diagram? Check all that apply. ∠ABD is a right angle. Ray B C bisects angle ∠ABD. m∠ABC = 45° m∠CBD = 45° m∠ABD = 90°
Answers
Answer:
A) ∠ABD is a right angle.
E) m∠ABD = 90°
Step-by-step explanation:
just took the test
∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given that,
Angle A B D is a right angle.
The right angle is a 90-degree angle.
So,
m∠ABD = 90°
Hence "∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles".
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What essential characteristic does a good experiment have?
Answers
Answer:
It should have many essential characteristics such as a Control group, a hypothesis, research to back up and defend your hypothesis/claim and it should be replicable by others with similar results to prove your experiments claim.
Hope this helps. :)
A horizontal line has points D, B, C. A line extends vertically from point B to point A. Given that Ray B A bisects ∠DBC, which statement must be true? m∠ABD = m∠ABC AB ≅ BC B is the midpoint of DC. m∠DBC = 90°
Answers
Answer:
The Answer Is: m∠ABD = m∠ABC
Step-by-step explanation:
I just took the test
A line is a one-dimensional shape that is straight. The statement that must be true about the given condition is A, m∠ABD=m∠ABC.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that a horizontal line has points D, B, C. A line extends vertically from point B to point A. Also, Ray BA bisects ∠DBC. Therefore, the diagram for the given condition can be made as shown below.
Thus, the statement that must be true is m∠ABD = m∠ABC. This is because ∠DBC is a straight line, therefore, its measure will be 180°. And since Ray BA bisects ∠DBC. Therefore, the measure of m∠ABD = m∠ABC = 90°.
Hence, the statement that must be true about the given condition is A, m∠ABD = m∠ABC.
Learn more about Line:
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Which fraction has a decimal equivalent that is a repeating decimal?
a
141/47
b
19/3
c
13/65
d
11/19
Answers
Answer:
b.......19/3...I. guess
ms.garcia’s seventh grade class is collecting aluminum cans yo buy new board games. They receive $0.35 for each pound of cans they collect.What is the minimum number of pounds of aluminum cans they need to collect in order to purchase a broad game that cost $27.20
Answers
Answer:
The minimum number of pounds they need to collect is 78
Step-by-step explanation:
27/0.35 = 77.7
but in this specific problem you can't have less than part of a pound, so the final answer would be 78 pounds
Help me plz!!!!!!!!!!!!!!!!!!!!!!!
Answers
1/2 is the constant of proportionality because no matter what y or x is equal to, 1/2 will not change.
Given the points (10, 0) and (0, 9), find - the slope of the line between these two point, and - the distance between the two points.
Answers
Answer: m=-9/10; d=13.45
Step-by-step explanation:
To find the slope, you would use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We plug in the given points and solve.
[tex]m=\frac{9-0}{0-10} =\frac{9}{-10} =-\frac{9}{10}[/tex]
Now, we know that slope is -9/10.
To find the distance between the points, we use the distance formula.
Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(0-10)^2+(9-0)^2}[/tex] [parenthesis]
[tex]d=\sqrt{(-10)^2+(9)^2}[/tex] [exponent]
[tex]d=\sqrt{100+81}[/tex] [add]
[tex]d=\sqrt{181}[/tex]
[tex]d=13.45[/tex]
Now, we know the distance is approximately 13.45.
Which pair of undefined terms is used to define the term parallel lines?
Answers
Answer:
The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines
Step-by-step explanation:
Evaluate the function f(x) = 3 - 6x, when x=0.
a -3
b 0
c 3
d -57
Answers
Answer:
C
Step-by-step explanation:
f(0)= 3 - 6 (0)
f(0)= 3 - 0
f(0)= 3
A whippet runs 50 feet in one second. An ostrich can run at 40 mph. A giraffe runs half a mile in a minute. A domestic cat scurries 15 yards in one second. Which animal is fastest?
Answers
Answer:
Step-by-step explanation:
You need to translate these into a common rate.
feet / second is probably the best one.
Whippet: 50/1 = 50 feet / second.
Ostrich: 40 miles/ hour = 40 *[ 1 hour/3600 sec] * [5280 feet / mile] = 58.67 ft/sec
Giraffe: 1/2 mile / minute * [1 minute/60 sec]*[5280 feet/mile] = 1/2 * 5280/60 = 44 feet/second
Cat: 15 yards / sec [ 3 feet/ yard] = 45 feet / second
Looks like the Ostrich is the fastest.
Jeremy, Alicia and Edgar are playing a game where the object is to get
closest to zero points. If Jeremy has -250 points, Alicia hos -150 points and Edgar
has 300 points, who is the winner
Answers
Answer:
Alicia!
Step-by-step explanation:
-150 is closer to the number 0 than -250 or 300. :D
Charlotte drove 304 miles in 8 hours. If she continued at the same rate, how long would it take to travel 190 miles?
Answers
304 miles/8 hours = 38 miles per hour
second, divide how many miles she needs to travel by how much she rides mph.
190 miles/38 mph = 5 hours.
it would take her five hours.
The time to travel 190 miles will be 5 hour.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Charlotte drove 304 miles in 8 hours.
And, She continued at the same rate.
Now,
Since, Charlotte drove 304 miles in 8 hours.
Hence, The speed is,
Speed = Distance / time
= 304 / 8
= 38 miles / h
So, For travel 190 miles at same rate;
Time = Distance / Speed
= 190 / 38
= 5 hour
Thus, The time to travel 190 miles will be 5 hour.
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GEOMETRY: need some help on these equations, i'm giving a lot of points for this.
Answers
Answer:
1) ML=93
2) GE=58
Step-by-step explanation:
1)
We want to find ML.
So, we need to find x first.
Note that the entire segment, NK, is the addition of the segments NM, ML, and LK. So:
[tex]NM+ML+LK=NK[/tex]
And we know their equations. So, substitute 110+4x for NM, x+103 for ML, 70 for LK, and x+243 for NK. Thus:
[tex](110+4x)+(x+103)+(70)=x+243[/tex]
On the left, combine like terms:
[tex](4x+x)+(110+103+70)=x+243[/tex]
Add:
[tex]5x+283=x+243[/tex]
Subtract 283 from both sides:
[tex]5x=x-40[/tex]
Subtract x from both sides:
[tex]4x=-40[/tex]
Divide both sides by 4:
[tex]x=-10[/tex]
So, the value of x is -10.
Substitute this into ML to find it. So:
[tex]ML=(-10)+103[/tex]
Add:
[tex]ML=93[/tex]
And we're done!
2)
Here, we want to find GE. This means solving for x again.
Note that HF plus FE equates to the entire segment.
HG plus GE also equates to the entire segment.
Thus:
[tex]HF+FE=HG+GE[/tex]
Substitute 3x-129 for HF and 4 for FE.
Substitute 13x-993 for HG and 3x-185 for GE. Thus:
[tex](3x-129)+(4)=(13x-993)+(3x-185)[/tex]
Combine like terms on both sides:
[tex](3x)+(-129+4)=(13x+3x)+(-993-185)[/tex]
Add or subtract:
[tex]3x-125=16x-1178[/tex]
Add 1178 to both sides:
[tex]3x+1053=16x[/tex]
Subtract 3x from both sides:
[tex]1053=13x[/tex]
Divide both sides by 13:
[tex]x=81[/tex]
So, the value of x is 81.
To find out GE, GE is the 3x-185. So:
[tex]GE=3(81)-185[/tex]
Multiply:
[tex]GE=243-185[/tex]
Subtract:
[tex]GE=58[/tex]
And we're finished!
Use the distributive property to multiply -3(-2 3/10). A. (-3)(-2) + (-3) (-3/10) B. (-3)(-2) + (-3/10) C. (3)(3/10) + (-3/10) D. (3 + 3/10)(-3 + (-2))
Answers
Answer:
[tex]A.\ (-3)(-2) + (-3)(3/10)[/tex]
Step-by-step explanation:
Given
[tex]-3(-2 - 3/10)[/tex]
Required
Simplify
[tex]-3(-2 - 3/10)[/tex]
Apply Distributive Property;
This simply means that; we expand the bracket;
So, we have;
[tex]= (-3)(-2) + (-3)(3/10)[/tex]
From the list of given options, option A answers the question
Answer:
A
Step-by-step explanation:
I took the quiz
mason makes homemade pizza sauce. the recipe calls for 5 ounces of tomato sauce for every 1/4 teaspoon of garlic. what is the rate in ounces of tomato sauce per teaspoon of garlic that mason uses?
Answers
Answer:
Sauce requires milk, cheese, red potatoes
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
What is the parent function for y = |x - 41+7?
Answers
Explanation :
0=x-34
-x= -34
Answer = x=34
Y=x-41+7
Y=x-48
X=48
Question 3 of 10
Is ACOW- APIG? If so, identify the similarity postulate or theorem that
applies
Answers
Explanation:
Choice A isn't the answer because we don't know anything about the angles, so we can't use the AA (angle angle) Similarity theorem.
Choice B isn't the answer because we don't have info about all three pairs of sides (we only have two pairs of sides).
Choice C isn't the answer in a similar way choice A isn't either. We don't know anything about the angles, so we can't use the "A" in "SAS".
Choice D is the only thing left. It turns out we don't have enough info to be able to determine if the triangles are similar or not.
simplify ^3√p^4 q^6 r^5
Answers
Answer:
3p^2q^3r^2√r
Step-by-step explanation:
Help me pleaseeeeeeeeeeee
Answers
Answer:
1. NO
2.yes
3.yes
4.no
5.no
Step-by-step explanation:
I think these are the answers. Hope this helps
Is 0.3529 irrational or rational
Answers
Answer:
It is Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Write an expression for the sequence of operations described below. triple u, then multiply t by the result
Answers
Answer:
t(3u)
Step-by-step explanation:
First we have to triple (x3) u, which is what gets us 3u. Then we multiply that result by t.
This gives us: t(3u)
Remember, this problem is asking for you to write an expression, not and equation. That is why there is not an equal sign included in the answer.
0.05 is 1/10 of a decimal as
Answers
Answer:
1/10 =0.1 in decimal
Step-by-step explanation: