Answer:
3
Step-by-step explanation:
step1 Isolate the square root on the left hand side
Original equation
√2x-5-4 = -x
Isolate
√2x-5 = 4-x
step2 eliminate the radical on the left hand side
Raise both sides to the second power
(√2x-5)2 = (4-x)2
After squaring
2x-5 = x2-8x+16
step3 Solve the quadratic equation
Rearranged equation
x2 - 10x + 21 = 0
This equation has two rational roots:
{x1, x2}={7, 3}
step4 Check that the first solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 7 for x
√2•(7)-5 = 4-(7)
Simplify
√9 = -3
Solution does not check
3 ≠ -3
step5 Check that the second solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 3 for x
√2•(3)-5 = 4-(3)
Simplify
√1 = 1
Solution checks !!
Solution is:
x = 3
Answer:
-3
Step-by-step explanation: i got it right on my test
There is a bag with only red marbles and blue marbles. The probability of only choosing a red marble is 5/8. There are 25 red marbles in the bag and each is likely to be chosen. How many marbles should there be in total?
25 red, 15 blue
======================================================
Work Shown:
b = number of blue marbles = unknown
r = number of red = 25
T = number total = 25+b
r/T = probability of getting red = 5/8
r/T = 5/8
25/(25+b) = 5/8
25*8 = 5(25+b) .... cross multiplication
200 = 125+5b
200-125 = 5b
75 = 5b
5b = 75
b = 75/5
b = 15
We have 15 blue marbles and 25 red marbles. This means there are T = r+b = 25+15 = 40 marbles total.
The proportion of red is r/T = 25/40 = (5*5)/(5*8) = 5/8 to help confirm we have the correct value for b.
3 (n+1) - 5 = 3n - 1
I need help with this question
Answer:
There are no solutions.
Step-by-step explanation:
3(n+1) = 3n+3.
3n+3-5 = 3n-2.
3n-2 doesn't equal 3n-1, so there are no solutions.
What is the volume of this rectangular prism
Answer:
Do 7 x 4 = 28 and the bottom is 28
do answer is 56 enjoy brainliest
If six angles of a heptagon have measures of 122, 153, 168, 105, 162, and 87, what is the measure of the seventh angle?
Answer:
he seventh angles measure is 103
Step-by-step explanation:
Interior angles = (number of side in the polygon - 2) times 180.
So Heptagon interior angles = (7-2)(180) = 900
To find the missing angles add all the given angles together (122, 153, 168, 105, 162, and 87) = 797.
Now The measure of the seventh angles = total angles measure - the six given angles,
The seventh angles measure is 103
900 - 797 = 103
Multiply 6 times two-ninths.
After multiplying, the numerator is ?
After multiplying, the denominator is ?
Answer:
numerator - 4
denominator - 3
Step-by-step explanation:
6 × 2/9
12/9
4/3
any tips on eaiser ways to factor completely. algebra 2!! please
watch a lots of videos and look at reliable resources brainley is not reliable by the way
Algebra 2 - Factoring Polynomials - You Tube
Step-by-step explanation:
any of these top videos are helpful anything specific you need help with
Anne goes out to lunch every Friday. On average she spends around
$18 each time, How much money can she save in one year if she
stops going out for lunch each week?
Answer:
$936
Step-by-step explanation:
there are about 52 weeks in a year
18*52=936
Hope this helps!
The image point of A after a translation right 4 units and up 4 units is the point B(-5, -1). Determine the coordinates of the pre-image point A.
Answer:
(-9, -5)
Step-by-step explanation:
You have to imagine where it came from so the only way to find that is by reversing the translation. Instead of adding 4, we need to subtract 4 left and down. Once you did the inverse you receive your answer.
If x varies inversely as y, which statement is true?
Answer: The Inverse variation
Step-by-step explanation:
The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.
Factorials: Solve 3!
Answer:
6
Step-by-step explanation:
3! = 3 x 2 x 1 = 6
How to identify in congruence of triangles that the triangle is congruent by RHS criteria (property)
Answer:
In two right-angled triangles,If the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are said to be congruent.
Step-by-step explanation:
Thank you!!!!
9514 1404 393
Explanation:
The RHS congruence theorem states that, if the hypotenuse and side of one right triangle are equal to the hypotenuse and the corresponding side of another right triangle, the two triangles are congruent.
This is also known as the HL (hypotenuse-leg) congruence theorem for right triangles.
__
The four theorems generally available for showing congruence of triangles are abbreviated ...
SSS, ASA, SAS, AAS . . . . A=angle, S=side; order is important
These list the sides/angles that must be identified as corresponding congruent parts.
Notable for its absence from this list is an SSA theorem. The reason is that SSA congruence can only be shown under the specific circumstance that the angle is opposite the longest of the two sides. That can only be guaranteed if the angle is a right angle or obtuse angle.
If the triangle is a right triangle, and the hypotenuse (longest side) is one of the two corresponding sides involved in the congruence statement, then the conditions required for RHS, or SSA, or HL congruence are established.
_____
Additional comment
In general, a triangle can be "solved" (all sides and angles determined) if at least one side and any two of the remaining angles or sides are specified. That is, the triangle will be uniquely specified.
The exception is described above, where two sides and an angle are given, but the side opposite the angle is the shorter of the two. In that case, if the triangle is not a right triangle, there are always two possible solutions. This is why, in general, congruence cannot be shown between two triangles with the same SSA specification.
an algebraic expression that represents the product of r cubed and one hundred seven.
Answer:
107r³
Step-by-step explanation:
6+8/2 I need help on this
Answer:
10
Step-by-step explanation:
1. Any number has a denominator of 1 so you have 6/1 and 8/2.
2. To add you need to make the denominators the same so multiply the 2 to the numerator and denominator of 6/1 which makes 12/2.
3. 12/2+8/2 is 20/2.
4. Simplify 20/2 by dividing the top and bottom by 2 to get 10/1.
Answer: 10
Someone help plz make sure it’s right will make brainiest:)
Answer:
it's ether 1 or 2
cuz the slope is 1/3
Answer:
It is 2
Step-by-step explanation:
Which is y=1/3x + 10/3
A woman sold a sari for Rs 1960 at a profit of 20% At vbal price should she self: 30 gain 15562
Solve the equation x2-81 = 0.
Answer:
40.5
Step-by-step explanation:
x2 - 81 = 0 --> + 81 to both sides
2x = 81 --> divide by 2 on both sides
x = 40.5
Answer:
2x-81=0
2x=0+81
2x=81
x=81
2
x=40.5 ANSWER.
MARK ME AS A BRAINLIST PLZ.
What number is halfway between eight and nine
f
2x2 - 7x-4
Simplify
x2 - 5x +4
2x +1
x-1
2x + 1
x+1
2-7x
5x
DONE
Answer:
1. [tex] \frac{2x + 1}{x - 1} \\ [/tex]Step-by-step explanation:
[tex] \frac{ {2x}^{2} - 7x - 4 }{ {x}^{2} - 5x + 4 } \\ \frac{ {2x}^{2} + x - 8x - 4 }{ {x}^{2} - x - 4x + 4} \\ \frac{x(2x + 1) - 4(2x + 1)}{x(x - 1) - 4(x - 1)} \\ \frac{(x - 4)(2x + 1)}{(x - 4)(x - 1)} \\ \frac{2x + 1}{x - 1} \\ [/tex]
Solve for x: x-2 =10
X - 2 = 10
To solve for x add 2 to both sides of the equal sign:
X = 12
Answer:
x = 12
Step-by-step explanation:
Add 2 to both sides of the equation
x−2=10
−2+2=10+2
Simplify
Solution:
x = 12
What is the answer? Thank you so much
please help!! For geometry
Step-by-step explanation:
m<15 = 97°
that is the answer
whats 12.3/342/75x75xyx85
Answer: 167?
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
Distributive property quick check. Simplify: 1/2 (6z+10). Simplify: 10(5+2x). Simplify: 3(5y+6)-4. Simplify: (3a+2)(4).
Answer:
1: 3z+5
2: 50+20x
3: (15y+18)-4
4: 12a+8
Is the table a linear function?
Yes or no
Which angles are vertical angles?
<8 and <6
<8 and <7
<8 and <5
Angle 8 and angle 5 are vertical angles
13 + 2(3x − 7) please help
Answer:
6x-1
Step-by-step explanation:
13 + 2(3x − 7)
Distribute
13 + 6x -14
Combine like terms
6x+13-14
6x-1
Answer:
6x - 1
Step-by-step explanation:
Using the slope formula, find the slope of the line through the given points.
(12,0) and (4, -2)
Answer:
1/4
Step-by-step explanation:
We know :-
m = (y2 - y1)/x2 - x1Substitute ,
m = ( 0 -(-2)) / ( 12-4) m = 2/8 m = 1/4convert to standard form 2.9x10 to the power of 3 plssss help
Answer:
To write a linear expression in standard form, rearrange the terms in alphabetical order.
[tex]2.9[/tex] × [tex]10^3[/tex]
But, if you need to write it in scientific notation, the answer is 2,900.
An umbreela is made by stitching 12 triangular piece of cloth of two different colours with each piece measuring 40cm,40cm,and 18cm.How much clothes of each is required to make the umbrella?
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
Make a 4-by-4 logic grid on your own paper. Use it to help solve the logic
puzzle and answer the question.
A barbershop, a coffee shop, a flower shop, and a nail salon each have a sign
of a different color: blue, green, red, or purple (but not necessarily in that
order)
The coffee shop and the barbershop are next to the shop with the green sign.
The nail salon is not next to any of the other shops.
The barbershop's sign is either blue or red.
The store with the purple sign is next to the store with the green sign.
Which shop has the purple sign?
A. The coffee shop
B. The flower shop
C. The nail salon
D. The barbershop
Answer:
A
Step-by-step explanation:
