Answers
Answer:
x = 8
Step-by-step explanation:
By Basic Proportionality Theorem:
[tex] \frac{3}{x - 2} = \frac{x}{x + 8} \\ \\ x(x - 2) = 3(x + 8) \\ \\ {x}^{2} - 2x = 3x + 24 \\ \\ {x}^{2} - 2x - 3x - 24 = 0 \\ \\ {x}^{2} - 5x - 24 = 0 \\ \\ {x}^{2} - 8x + 3x - 24 = 0 \\ \\ x (x - 8) + 3(x - 8) = 0 \\ \\ (x - 8)(x + 3) = 0 \\ \\ x - 8 = 0 \: \: or \: \: x + 3 = 0 \\ \\ x = 8 \: \: or \: \: x = - 3 \\ \\ \because \: length \: can \: not \: be \: - ve \\ \\ \implies \: x \neq - 3 \\ \\ \implies \: x = 8[/tex]
Related Questions
Write the equation of the line, in slope-intercept form, through the
following two points:
(-14, 17)
(-10, 41)
Answers
Answer:
y=6*x+101
Step-by-step explanation:
Slope intercept form is y=mx+n, where m is the slope and n is the intercept.
Substituing in that equation the two points we get two different expressions. Now we have to solve a 2x2 system of equations.
I decide to solve it through substraction (literally one expression minus the other). That way we cancel out the n and obtain the value of m.
Now that we have m we plug in the value of m in one of the expressions to obtain the value of n.
To express the final equation we just plug in the values of m and n in the expression y=mx+n!
Answer:
y=6*x+101
Step-by-step explanation:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Hope this will helps
Which precautions protect online data?
Choose exactly 3 answers that are correct.
using a password manager
getting permission from adults before filling out information online.
turning off the computer
avoiding clicking on links from unfamiliar e-mail messages
Answers
75 students received a coupon. These students represent 5% of the total students at Seven Lakes JH. How many total students attend Seven Lakes JH?
Answers
help PLEASE! i’m not sure what to do
Answers
Answer:
14
Step-by-step explanation:
to find area, use the equation A=ab/2
a and b are the sides given. a=7, b=4
next, plug into equation
A=7×4/2
A=14
write the expression in standard form 27h÷3h
Answers
For what value of x must ABCD be a parallelogram?
X=_______
Answers
Answer:The value of x must be 7 units.
Step-by-step explanation:
hope this helps
Find the product. Enter the product in simplest form.
Answers
Answer:
5
Step-by-step explanation:
You multiply/divide all the fractions with each other.
does anyone have a private server on royal high I need the new set pls
Answers
Answer:
Nope but I hope you find one soon. -Your friend, Bill Cipher
Step-by-step explanation:
Answer:
I do!! My user is; AngelCookiesSmiles. c:
Step-by-step explanation:
Greta opens a savings account with $25 she saves $20 each week
Answers
Answer:
Greta spends$25-$20=$5per week.
The first night in a hotel costs 40 dollars. All additional nights cost 27 dollars. How many nights did we stay
at this hotel if the total bill was 148 dollars?
Answers
Answer:
5
Step-by-step explanation:
First, you would want to subtract the first nights cost from the bill, which you would get 108. And then you would want to divide 108 by how much it costs to stay additional night, so 108 divided by 27 = 4. But you have to remember to add the first night you stayed so it would be 5. I hope this helps :)
Answer:
4 nights
Step-by-step explanation:
148-40=108
108÷27=4
So, you spent 4 nights at the hotel.
can some please help me find the 4th term
Answers
Answer:
11
Step-by-step explanation:
C(4) = -7 + 6(4-1)
C(4) = -7 + 6 x 3 =
C(4) = -7 + 18
C(4) = 11
Hope that helps!
Helppppp!!!! Ty ✨:)))))))))
Answers
Answer:
12/7 or 1 5/7
Step-by-step explanation:
6 * 2 = 12
so
12/7 = 1 5/7
Answer:
1.714 and/or 1 5/7
Step-by-step explanation:
You're welcome :P
Kelly has 36 counters how many groups of 6 counters can she make
Answers
Answer:
6 groups of 6 counters.
Step-by-step explanation:
36/6=6
Answer:
6
Step-by-step explanation:
6x6=36
CAN SOMEONE ANSWER THIS PLEASE AND RHANK YOU!
Answers
Answer:
1/9?
Step-by-step explanation:
Hey I really need help with this question please help
Answers
Answer:
let me look
Step-by-step explanation:
If DF and GI are parallel lines and mGHE = 47°, what is mIHE?
Answers
Answer:
mIHE should be 133°
Step-by-step explanation:
A line is 180°, so, if you take 47° off you're left with 133.
Giving you an answer of 133°.
Step by step pls I’ll make u brainly
Answers
Answer:
a = 6
Step-by-step explanation:
120 = 3 + 3(7a - 3) (by PEDMAS, expand parentheses first by distributive property)
120 = 3 + 7a(3) - 3(3)
120 = 3 + 21a - 9
120 = 21a - 6 (add 6 to both sides and rearrange)
21a = 120 + 6
21a = 126 (divide both sides by 21)
a = 126/21
a = 6
Step-by-step explanation:
120-(3+3*(7*a-3))=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
120 - (3 + 3 • (7a - 3)) = 0
STEP
2
:
STEP
3
:
Pulling out like terms :
3.1 Pull out like factors :
126 - 21a = -21 • (a - 6)
Equation at the end of step
3
:
-21 • (a - 6) = 0
STEP
4
:
Equations which are never true:
4.1 Solve : -21 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
4.2 Solve : a-6 = 0
Add 6 to both sides of the equation :
a = 6
One solution was found :
a = 6
Simplify the expression. 7d + 3 - 2d
Answers
Answer:
5d+3
Step-by-step explanation:
just as you combine regular numbers you can combine terms that have the same variable raised to the same exponent, and 7d-2d=5d. So the equation simplifies to 5d+3
Simplify this expression (xy^4)^6
Answers
Hope it help
Answer:
x^6*y^24
Step-by-step explanation:
This will become:
[tex]x^6*(y^4)^6[/tex]
Next, multiply the exponents for y:
x^6 * y^24
So the answer is x^6*y^24
Write an equation of the line with a slope of 23and y-intercept of −8.
y=
Answers
Answer:
y=23x-8
Step-by-step explanation:
Use the formula y=mx+b
y-intercept is b which is -8
the slope is m which is in this case 23
Easy peasy!
Lauren has twelve more than six times as many pencils as her sister. Which expression represents the number of pencils that Lauren has if the variable p represents the number of pencils that her sister has?
Answers
Answer:
Sister: p
Lauren: 12 + 6p
The area in square feet, inside a rectangle is given by the expression 1600 x? What is the value
of the area if x = 15 feet?
Answers
Answer:1375
Step-by-step explanation:
X= 15 is given
X squared is 15x15 = 225
1600 - 225= 1375
Answer:
Step-by-step explanation:
1600x=
x=15 feet
1600 x 15 Ft = 24000 Ft
She needs 3/4 cup of water she needs 10 more servings what's the answer A 1/1/5 b 3/1/4 c 7/2/4 d 8/2/3
Answers
[tex]= \color{plum}\tt(C) 7 \frac{2}{4} [/tex]
Answer with steps :Quantity of water she needs [tex] = \tt \frac{3}{4} \: cup [/tex]
Number of servings she needs = 10
Number of cups of water she will need :
[tex] = \tt \frac{3}{4} \: \times 10[/tex]
[tex] = \tt\frac{30}{4} [/tex]
[tex] =\tt 7\frac{2}{4} \: cups[/tex]
Thus, she needs [tex] \tt 7\frac{2}{4} \: cups [/tex] of water.
Therefore, the correct option is [tex]\color{plum}\tt(C) 7 \frac{2}{4} [/tex]
2(4x - 7)
What’s the answer
Answers
Answer:
[tex]8x - 14[/tex]
Step-by-step explanation:
1. expand by distributing terms.
[tex]2 \times 4x + 2 \times - 7[/tex]
2. Simplify 2 × 4x to 8x.
[tex]8x + 2 \times - 7[/tex]
3. Simplify 2 × -7 to -14.
[tex]8x - 14[/tex]
Therefor, the answer is, 8x - 14.
Can someone help me with the exterior angle sum?
Answers
Answer:
no sorry but it's okay you at least guess
Triangle 360/3=120
Pentagon 360/5=72
Quadrilateral 360/4=90
Hexagon 360/6=60
Factor out 10d^7 + 2d^5
Answers
Answer:
[tex] 2 {d}^{5} (5 {d}^{2} + 1)[/tex]
Step-by-step explanation:
[tex]10d^7 + 2d^5 \\ \\ = 2 {d}^{5} (5 {d}^{2} + 1)[/tex]
Find the value of x acellus
Help
Answers
Answer: x = 3
because ΔABC has BD is the bisector of ∠ABC
=> AD/AB = DC/BC
⇔ x/6 = 4/8
⇔ x/6 = 1/2
⇔ x = 6.1/2
⇔ x = 3
Step-by-step explanation:
Answer: x=3
Step-by-step explanation:
Write 14 more then a number (pre algebra)
Answers
Answer:
x + 14
Step-by-step explanation:
Let's break it down to key terms:
14
more (+)
a number (x)
So 14 more than a number is just adding 14 to x.
x + 14
Hope this helps :)
Chris borrows £6000 at a simple interest rate of 10% per year.
He pays the money back after 4 years.
How much does he pay back in total?
Answers
9514 1404 393
Answer:
£8400
Step-by-step explanation:
The amount due after t years is ...
A = P(1 +rt)
A = £6000(1 + 0.10·4) = £6000·1.40
A = £8400
Chris pays back £8400 in total.
3x - 12 = 3x + 1
help please
Answers
Answer:
There's no solution to this equation, when 2 equations have the same slope but different y-intercepts, they're parallel. This means they never intercept and there is NO solution and we can't solve for x.