Answers
Answer:
This problem of equations involving surds can be solved by :
Firstly,square both sides of the equation to do away with the surd
(√x+3)²=(x-3)²
Next,we do away with the surd or let me put it as sign of square root and FOIL out the RHS
x+3=x²-6x+9
Rearranging leads to:
x²-6x-x+9-3=0
x²-7x+6=0 which factorises to:
(x-6)(x-1)=0
Finding the zeros leads to
x=6 or 1
We now conduct a test to see which value(s) of x satisfy the equation
√6+3=6-3
√9=3
3=3, so x=6 is true
Now for 1,
√1+3=1-3
√4 is not equal to -2
Therefore we conclude that x=6
Related Questions
Find the missing length of C given the polygons are similar figures.
Answers
2x4=8
The length of C is 8m
Hope this helps you!
Find the sum of the digits 10^15−1.
Answers
Answer:
149
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
10^15 = 1 000 000 000 000 000
10^15 - 1 = 999 999 999 999 999
There are 15 nines
15*9 = 135
Write an equation in slope-intercept form of the line that passes through the given points.
Answers
Answer:
y=3/2x+2
Step-by-step explanation:
The slope is 3/2
To find it find to perfect points or "pretty points" and rise then run, so the point (0,2) is a pretty point and (2/5) is a pretty point to get to this point you rise 3 and run 2, so 3/2.
The y-intercept is 2
To find the y-intercept all you need to do is find the point that passes through the y-axis, so (0,2) the y-intercept would be 2.
what is the slope of the line that passes through the points (26, 7) and (-39, 12)
Answers
Answer:
m= -1/13
Step-by-step explanation:
Bart can paint 3/5 of a wall in 1/2 hour. How long does it take him to paint 5 walls?
Answers
Answer:
2 hours
Step-by-step explanation:
You are recreating a scale drawing at a different scale. The original scale is 1 cm : 8 m. The new scale is 1 cm : 2 m. In the original drawing, the length of a segment is 9 centimeters. How long should the segment representing the same distance be in the new drawing?
The segment should be ?centimeters long.
Answers
Answer:
The segment should be 36 centimeters long
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ The original scale is 1 cm : 8 m
∵ In the original drawing, the length of a segment is 9 centimeters
→ By using the ratio method
→ cm : m
→ 1 : 8
→ 9 : x
→ By using the cross multiplication
∵ 1 × x = 9 × 8
∴ x = 72 m
∴ The actual length of the segment is 72 m
∵ The new scale is 1 cm : 2 m
∵ The actual length of the segment is 72 m
→ By using the ratio method
→ cm : m
→ 1 : 2
→ y : 72
→ By using the cross multiplication
∵ y × 2 = 1 × 72
∴ 2y = 72
→ Divide both sides by 2 to find y
∴ y = 36
∴ The drawing length of the segment is 36 cm in the new scale
∴ The segment should be 36 centimeters long
10 POINTS!! AND WILL GIVE BRAINLEST WHOEVER ANSWERS FIRST BUT HAS TO ANSWER RIGHT!! Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account.
Select one:
a. The transformation that would best represent the relocation is a reflection, because reflections preserve size and shape.
b. The transformation that would best represent the relocation is a rotation, because rotations preserve size and shape.
c. The transformation that would best represent the relocation is a dilation, because dilations preserve shape and orientation.
d. The transformation that would best represent the relocation is a translation, because translations preserve size,shape, and orientation.
Answers
Answer:
the answer is D
Step-by-step explanation:
In AEB,CD is parallel to AB. Complete each proportion please help!!!!!!!!!!!!
Answers
Answer:
see explanation
Step-by-step explanation:
Given a line CD parallel to a side of the triangle and intersecting the other 2 sides, then it divides those sides proportionally, thus
(a)
[tex]\frac{EC}{CA}[/tex] = [tex]\frac{ED}{DB}[/tex]
(b)
[tex]\frac{EC}{EA}[/tex] = [tex]\frac{ED}{EB}[/tex]
(c)
[tex]\frac{EB}{ED}[/tex] = [tex]\frac{EA}{EC}[/tex]
(d)
[tex]\frac{DB}{EB}[/tex] = [tex]\frac{CA}{EA\\}[/tex]
Can y’all help it’s a test and the answer choices are
A) 6
B) 4
C) -1
D) 1
Answers
Answer:
It's 4 (B)
Reasoning:
When X is equal to its lowest point (1 in this case, but it's usually 0), y is equal to 4
I hope this helps and good luck!
Alannah has a puppy, she buys a leash for $3.99, a dog toy for $5.47, and one bag of dog food for $8.99. What is the minimum amt of money (x) Alannah has to have to purchase supplies for her puppy
Answers
Answer:
I'm pretty sure she needs to have $18.45
Step-by-step explanation:
All you have to do is add the numbers together to get the minimum amount
Answer:
18.45[tex]\leq[/tex]x
Step-by-step explanation:
3.99+5.47+8.99[tex]\leq[/tex]x
1. Given: 3(m-2) + 14 = 38
Prove: m= 10
please help it’s a proof
Answers
Answer:
It is 10 (m=10)
Step-by-step explanation:
3 (10-2) + 14 Subtract whats in the parentheses
3 (8) + 14 Multiply 3 and 8
24 + 14 Add the remaining to get the sum ( 24 + 14 )
38 (Your total)
~~~Hope this helps~~~
36
Is
✓11 rational or irrational?
25
Answers
Answer:
rational
Step-by-step explanation:
can you make the answer into a fraction or decimal yes you get 4.77
Answer:
the answer is rational
Example:
The diagram shows a triangle.
108°
42°
15c
What is the value of c?
Answers
c=2
Step-by-step:
108+42+15c=180
150+15c=180
15c=30
c=2
What is the equation of the line that passes through the point (-2,5) and has a
slope of -4?
Answers
Answer:
i think -3
Step-by-step explanation:
5 = -4(-2)+b
5=8+b
5-8=8-8+b
-3=b
5 exponent 4 = what the answer pls help
Answers
Answer:
625
Step-by-step explanation:
5*5*5*5
Answer:
625
Step-by-step explanation:
Because the exponent means you would multiply 5 by itself 5 times
so 5 times 5 = 25
25 times 5 and on and on.
I WILL GIVE BRAINLIEST Simplify by combining like terms.
-3x − 9 + 15x
A.12x + 9
B.18x − 9
C.12x − 9
D. 3x
SHOW YOUR WORK PLZSSSSSSSSS
Answers
Answer: The answer is 12x–9.
Step-by-step explanation: So to combine the like terms or simplify add –3x and 15x.
What is the value of | 3 |?
Answers
Find the unit rate. 2 1/4 mile in 1/4 hour
Answers
2 1/4 x 4 = 9
9 miles an hour
Which is the best description for the graph below?
Answers
Answer:
The graph decreases everywhere.
Step-by-step explanation:
you use the bottom line first, so start from the bottom and go up to the 3. it's opposite to trick you. think of it as a 9 going to a 3.
Factor-262 +65k - 2b
Answers
Answer:
-262 +65k =2b is not factorable with rational numbers
Step-by-step explanation:
What is the range of the relation?
Answers
The range are the y- values
The explanation:
The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.
Hope this helped you :D
The side lengths of a triangle are 5, 3, and 4. Is this a right triangle?
A. No, because 32 +42 +52.
B. Yes, because 32 +42 = 52.
C. Yes, because 32 +42> 52.
ОО
D. No, because 3+ 4+5.
Answers
Answer:
B
Step-by-step explanation:
Let me know if this help you IM not too sure but im sure its B but without the graph its little bit hard
Answer:
Step-by-step explanation:
B
Tommy and Sam met up for lunch. When they were done, Tommy traveled 3 blocks east and Sam traveled 3 blocks west. How many blocks away from Tommy was Sam?
Answers
Answer:
Tommy traveled 6 blocks away from Tommy.
Step-by-step explanation:
URGENT!! WILL MARK BRAILIEST! GOD BLESS. PLEASE SHOW ALL WORK. The age of Vicky and Krishna total 27 years. In 4 years, Krishna’s age plus twice Vickey’s age will be 43. What are Vickey and Krishna’s ages?
Answers
9514 1404 393
Answer:
Vickey is 4Krishna is 23Step-by-step explanation:
Let v represent Vickey's age now. Then Krishna's age now is 27-v. In 4 years, the sum of their ages is ...
(27 -v +4) +2(v +4) = 43
27 -v +4 +2v +8 = 43 . . . . eliminate parentheses
v +39 = 43 . . . . . . . . . . . . . collect terms
v +39 -39 = 43 -39 . . . . . . subtract 39 from both sides
v = 4 . . . . . . . . . . . . . . . . . simplify; this is Vickey's age
27 -v = 23 . . . . . Krishna's age
Vickey's age is 4; Krishna's age is 23.
DUE IN A BIT
WILL GIVE BRAINLIEST PLEASE ANSWER
A parallelogram is dilated by a scale factor of 1/4 to produce a new parallelogram. Which of the following best describes the relationship of the area of the new parallelogram to the area of the original parallelogram?
The area of the new parallelogram is 1/2 the area of the original parallelogram.
The area of the new parallelogram is 1/4 the area of the original parallelogram.
The area of the new parallelogram is 1/16 the area of the original parallelogram.
The area of the new parallelogram is 1/8 the area of the original parallelogram.
Answers
Answer:
C. The area of the new parallelogram is 1/16 the area of the original parallelogram.Step-by-step explanation:
Dilation by a scale factor of 1/4 results in all dimensions reduction 4 times
Since the area is the product of two dimensions, the area of smaller parallelogram is 4*4 = 16 times smaller than the original one.
Correct answer choice is C
Chloe just turned 8 years old and her sister Sheila just turned 14 years old. In how many years will the sum of their ages be equal to 50?
I will make the fastest answer the Brainliest
Answers
Item 3 You fill bags with cookies to give your friends. You bake 45 chocolate chip cookies, 30 peanut butter cookies, and 15 oatmeal cookies. You want identical groups of cookies in each bag with no cookies left over. What is the greatest number of bags you can make? The greatest number of identical bags you can make is
Answers
Answer:
30 in each bag
Step-by-step explanation:
Amira is told there is a trick to finding the slope within an equation in standard form, Ax + By= C. She is told she can rewrite this equation in slope-intercept form, y = mx + b, to find the pattern. She correctly rewrites the equation 7x + 9y = 14 in slope-intercept form as y = - 7/9 x + 14/9. Which answer explains the pattern for how to find the slope using an equation in standard form?
Answers
Answer:
The slope of given equation in standard form
[tex]m = \frac{-7}{9}[/tex]
Step-by-step explanation:
Explanation:-
Given equation of the line 7x + 9y = 14
The given equation in slope-intercept form, y = mx + b
Slope - intercept form [tex]y = \frac{-7}{9} x + \frac{14}{9}[/tex]
Comparing m = - 7/9
Here m = -7/9
C = 14/9
The slope of given equation in standard form
[tex]m = \frac{-7}{9}[/tex]
What is the nth term rule of the quadratic sequence below?
-5, -3,3, 13, 27, 45, 67, ...
Answers
Answer:
the pattern is +2, +6, +10, +14, +18 etc
so its in increment of 4
the rest is trivial
Step-by-step explanation:
Answer:
[tex]u_{n} = 2n^{2} -4n-3[/tex]
Step-by-step explanation:
a +b + c = - 5 First term in sequence
3a + b = 2 Difference between first two terms
2a = 4 Difference between the difference of the first two terms and the second third terms (the difference between -5 and -3 is 2 the difference between -3 and 3 is 6; the difference between 6 and two is 4)
2a = 4 so a = 2; 3(2) + b = 2 → 6 + b = 2 so b = -4; 2 - 4 + c = -5 → -2 + c = -5 so c = -3
What is the product 70 × 104?
Answers
Answer:
7,280
Step-by-step explanation:
calculator.
The product is the answer of a multiplication problem.