Answers
Answer:
x=-1
Step-by-step explanation:
First we can square both sides to remove the square roots:
[tex](\sqrt{x+7})^{2} +(\sqrt{x+2})^{2} = (\sqrt{6x+13})^{2}[/tex]
Simplify:
[tex]x+7+x+2=6x+13[/tex]
Now we simplify further:
[tex]2x+9=6x+13[/tex]
Now we subtract 13 from both sides:
[tex]2x+9-13=6x+13-13[/tex]
Simplify:
[tex]2x-4=6x[/tex]
Subtract 2x from both sides:
[tex]2x-4-2x=6x-2x[/tex]
Simplify:
[tex]-4=4x[/tex]
Divide both sides by 4:
[tex]\frac{-4}{4} = \frac{4x}{4}[/tex]
Simplify:
-1=x
x=-1
Related Questions
what is the slope of the line containing the point( -9,2) and (3,14)
Answers
Answer:
the slop is 1
Step-by-step explanation:
hop that help
What is the solution to the
equation log, (2x - 3) = -1?
Round to the nearest thousandth.
Answers
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: log(2x - 3) = - 1[/tex]
[tex]\qquad \sf \dashrightarrow \:2x - 3 = {10}^{ - 1} [/tex]
[tex]\qquad \sf \dashrightarrow \:2x = 0.1 + 3[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 3.1 \div 2[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 1.55[/tex]
I need help finding the area of a triangle!
Here is a picture i have to find the area of triangle ABC
Answers
Answer: B
Step-by-step explanation:
Ali played on his PSP for 3/4 hour.
He then did his homework for 2/3 hour.
On which activity did he spend more time on ?
Answers
Answer:
Ali played on his PSP longer
Step-by-step explanation:
3/4 of an hour is long than 2/3 because 3/4 of an hour is 45 minutes and 2/3 of an hour is 40 minutes and 45 > 40
-5(2x - 3) = 15 what is this
Answers
Answer:
x = 0
Divide both sides by the numeric factor on the left side, then solve.
Answer:
x=0
Step-by-step explanation:
1. Solve
-5(2x-3)=15
-10x+15=15
-10x+15-15=15-15
-10x=0
-10x/-10=0/-10
x=0
2. Check
-5(2x0-3)=15
-5(0-3)=15
-5x-3=15
15=15
3. Answer
x=0
Sectionalism:Question 10
What was the main reason that most northerners were opposed to the
new Fugitive Slave Act created by the Compromise of 1850?
Answers
Answer:
They felt it gave the commissioners too much power and was unfair to slaves by giving them a trail without injury
Please help me this is due in 20 mins
Answers
Answer:
35cm
120cm^2
Step-by-step explanation:
Answer:
1. The perimeter of figure a is 36 cm.
2. The area of figure a is 60 cm².
3. The perimeter of figure b is 14.25 in.
4. The area of figure b is 7.031 in².
If it's wrong tell me
Ayan has $48 andis saving $10 per week and Gemma has $300 and is spending $8 per week. When will they both have the same amount of money?
Answers
Answer:
14 weeks
Step-by-step explanation:
First, write as an equation with x the number of weeks Ayan and Gemma's money:
-> Ayan's money: 48+10x because every week he wins 10 more dollars
-> Gemma's money 300-8x
Finally just solve the equation for x where ayan's money = gemma's money so :
48+10x=300-8x
add 8x on both side: 48+18x=300
substract 48 on both side to isolate x : 18x =252
devide by 18 on both side : x=14
Choose the amount of money that is equal to 1 dollar 1 nickel.
25 nickels
21 nickels
22 nickels
23 nickels
HELLPPPP!!
Answers
So that is how it goes hope this helps
Answer: I think the answer is 25 nickels? Im sorry if I get it wrong
Step-by-step explanation:
A rectangle is inscribed in a circle of radius r. What is the maximum area of the rectangle
Answers
this question is too hard
Answers
Answer:
27 children
Step-by-step explanation:
For every 9 children, there are 4 adults. Those numbers added together equal 13. Now, if we divide the total number of adults and children by 13, we will get the number of how many groups there are of 9 kids and 4 adults.
39 / 13 = 3
There are 3 groups of 9 kids and 4 adults, which means to find the total number of children, we have to multiply 3 by 9.
3 * 9 = 27
Therefore, there are 27 children total. I know this was probably really confusing, but I hope it helped in some way! Have a lovely day!! :)
PLSSS HELP IF YOU TURLY KNOW THISS
Answers
Answer:
less than
Step-by-step explanation:
Answer:
B) less than
Step-by-step explanation:
We can start by looking at the number infront of the fractions. We know that 2 is less than 3 which also means that 2 and 7/8 is less than 3 and 1/4.
I hope this helps!!
Please mark brainliest!
PLEASE ACTUALLY HELP AND NOT JUST ANSWER CUZ YOU WANT POINTS! Can you please write the inequalities in algebraic form. EX: the sum of 92 and Z is less than 100 90+Z < 100
1. 24 less than Z is less than 12
2. the difference when you subtract 12.65 from A is less than or equal to 26,000
3. 999 less than Z is less than 500
4. the product of -10 and X is 25 or more
5. f minus -1 is less than 0
6. Y over 14 is 0.5 or more
Answers
Answer:
1. Z-24 < 12
2. A-12.65 ≤ 26,000
3. Z-999 < 500
4. -10x ≥ 25
5. f - -1 < 0 or f+1 < 0
6. y/14 ≥ 0.5
write an expresstion that is equivalent to 1/3x+3/4+2/3x-1/4-2/3x
Answers
Answer:
1/3x+1/2
Step-by-step explanation:
Agustin says that he can hold his breath for 90 seconds. And, he says that he did this 5 times this week. He used fractions and multiplication to calculate how many minutes he held his breath this week.
Answers
Answer:
7.5 minutes
Step-by-step explanation:
90 seconds is equivalent to 1.5 minutes
1.5×5=7.5
HELP NO LINKS OR TROLLING
Answers
Answer:
20.28 cm²
Step-by-step explanation:
The rectangle on the bottom is 7 cm by 2 cm.
The semicircle has a diameter of 7 cm - 1 cm - 2 cm = 4 cm
diameter = 4 cm
radius = diameter/2 = 2 cm
total area = area of semicircle + area of rectangle
total area = (1/2)πr² + LW
total area = (1/2)(3.14)(2 cm)(2 cm) + 7 cm × 2 cm
total area = 20.28 cm²
Area of rectangle
2(7)14cm²Area of semicircle
π(7-3/2)²/2(4/2)²π/24π/212.56cm²/26.28cm²Total area
6.28+1420.28cm²Help help help help help help help help I just need the answer for 13, 15, 16
Answers
Answer:
13) Squares, Rectangles. 14) Rhombus, Square.
15) Parallelogram, rectangle, rhombus, square
Step-by-step explanation:
PLSS HELPP IMPORTANT
(WILL GIVE BRAINLIEST)!
Answers
Reflection is the mirror image of the shape across an axis.
Translation is the sliding down or up of the shape.
Answer:
c. It is a reflection around the x-axis and a reflection around the y-axis
Step-by-step explanation:
Which function has the given properties below? the domain is the set of all real numbers. one x-intercept is (startfraction pi over 2 endfraction, 0 endfraction). the maximum value is 3. the y-intercept is (0, –3). y = –3sin(x) y = –3cos(x) y = 3sin(x) y = 3cos(x)
Answers
The required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
What is a function?
A function is a rule that relates two variables.
Let us check the x-intercept, y-intercept, and maximum value for each function.
1)y =-3Sin(x)
for x-intercept put y=0
0 = -3Sin(x)
Sin(x) =0
x=0
for y-intercept put x=0
y=-3Sin0
y=0
The maximum value of the given function =the lower limit of the range of -3Sin(x) i.e. 3
Similarly, for y = -3cos(x)
x-intercept =π/2
y-intercept = 3
Maximum value of function = lower limit of the range of 3cos(x) i.e. 3
Therefore, the required function with maximum value 3 and x and y-intercepts π/2 and 3 respectively is y=-3cos(x)
To get more about functions visit:
https://brainly.com/question/17043948
Answer:
B. y = –3cos(x)
Step-by-step explanation:
Im extremely sure, have a great day
19
The diagram shows a quadrilateral JKLM.
7 cm
K
J
4.5 cm
M
15 cm
L
Work out the size of angle KLM.
Give your answer correct to 3 significant figures.
Answers
Answer:
Step-by-step explanation:
Runchuan filled his 6-cup jar with honey. How many times could he fill his 2-fluid-ounce honey bear
from the jar? Explain.
Answers
Answer:
144
Step-by-step explanation:
Since there are 48 fluid-ounce in a cup, we can do 6 x 48
6 x 48 = 288
Now we know how much fluid ounces are in the 6 cups we can divide by the honey bear ( 2 fluid ounce ).
288/2 = 144
Help pls urgent :) plssss
Answers
Answer:
Fraction form: 1/8
Decimal form: 0.125
Step-by-step explanation:
Slope of line = [-6 - (-8)]/[8 - ( -8)]
= [-6 + 8]/[8 + 8]
= 2/16
= 1/8
= 0.125
2 times some number plus 5 equals 9
Answers
Answer:
x=2
Step-by-step explanation:
2(x)+5 =9
2(2)+5=9
Answer: The number is 2
Creating an Equation:
The underlined portion of the sentence becomes a part of our mathematical equation in the next line.
2 times some number plus 5 equals 9
2 times n plus 5 equals 9
2n plus 5 equals 9
2n + 5 equals 9
2n + 5 = 9
Solving our Equation:
I will take the equation we created, and isolate variable n to solve.
2n + 5 = 9
2n + 5 - 5 = 9 - 5
2n = 4
(2n ) / 2 = (4) / 2
n = 2
Translate the phrase into an algebraic expression.
The difference of c and 3
Answers
Answer: c-3
Step-by-step explanation:
it is wanting you to take c minus 3
683+1738x175220=
Chose you answer:
304533043. 194739421. 345802178. 643221. 24753
I need help please give correct answer
Answers
683+1738x175220
683+304,532,360
304,533,043
What is the perimeter of the pentagon?
Answers
Answer:
86 cm
Step-by-step explanation:
parameter of the Pentagon
= the parameter of the square + the parameter of the
triangle
= 48 + 38
= 86
on every 6th day Angelique goes to the gym to exercise. every 7th day Bentley goes to the gym to exercise. what is the First day Angelique And Bentley will be at gym on the same day?
Answers
Answer:
The day that Angelique and Bentley will be at the gym on the same day is; the 42nd day.
Angelique's days:
6, 12, 18, 24, 30, 36, 42
Bentley's days:
7, 14, 21, 28, 35, 42
In conclusion, the earliest day that Angelique and Bentley will be at the gym on the same day will be, the 42nd day.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Jade wants to build a raised garden bed in her backyard. The garden measures 9 feet in length by 6 feet in width by 4 feet in depth. The cost to purchase soil to fill the raised garden bed is $12 per cubic yard. How much will it cost to purchase soil for Jade’s raised garden?
Answers
Answer:
$864
Step-by-step explanation:
PLEASE HELP ASAP
Zeke has spent $3.75 on gel pens in the past, and now he plans to buy some new ones. The
new gel pens cost $1.25 each. If Zeke buys 6 new gel pens, how much will he have spent on
gel pens in total?
Answers
Answer:
11.25
Step-by-step explanation:
Base on the given we can conclude that:
3.75 + 6 × 1.25
Now solve the following:
3.75 + 6 × 1.25
3.75 + 7.50
=11.25
~lenvy~
Answer:11.25
Step-by-step explanation:
Tickets at a particular movie theater have different rates for adults and children. On Tuesday the theater sold 4 adult tickets and 9 child tickets for $88. The next day, the theater sold 7 adult tickets and 5 children tickets for $111. What is the price for the adult ticket and the price for the child ticket?
Answers
Answer:
Adult Ticket = $13.00, Children Ticket = $4.00
Step-by-step explanation:
13*4=52, 4*9=36, 52+36=88
13*7=91, 4*5=20, 91+20=111