LM is a perpendicular bisector of NP The length of LN is 12w +7, and the length of LP is 15w 5. What is the length of LN?
Answer:
[tex]LN = 55[/tex]
Step-by-step explanation:
Given
[tex]LN = 12w + 7[/tex]
[tex]LP = 15w - 5[/tex]
Required
Determine LN
Since LM is a bisector, then we have:
[tex]LP = LN[/tex] (See attachment for illustration)
[tex]15w - 5 = 12w + 7[/tex]
Collect Like Terms
[tex]15w - 12w = 5 +7[/tex]
[tex]3w = 12[/tex]
Solve for w
[tex]w = 12/3[/tex]
[tex]w = 4[/tex]
LN is calculated as thus:
[tex]LN = 12w + 7[/tex]
Substitute 4 for w
[tex]LN = 12 * 4 + 7[/tex]
[tex]LN = 48 + 7[/tex]
[tex]LN = 55[/tex]
Can someone help? I need a answer by 10/29
Answer:
ad bc
Step-by-step explanation:
Answer: for part a the answer is aed and bec.
Step-by-step explanation:
please will give brain
Rewrite the expression in the form x^N X^3•x^4
X^7
what to always remember is when you multiply numbers of the same base add exponents
the equation 3x^2-6x=8 is rewritten in a form of 3(x-p)^2+q=0.
Answer:
[tex]3(x - 1)^2 - 11= 0[/tex]
Step-by-step explanation:
Given
[tex]3x^2 - 6x = 8[/tex]
Required
Rewrite in form of [tex]3(x - p)^2 + q = 0[/tex]
[tex]3x^2 - 6x = 8[/tex]
Subtract 8 from both sides
[tex]3x^2 - 6x - 8 = 8 - 8[/tex]
[tex]3x^2 - 6x - 8 = 0[/tex]
Express -8 as 3 - 11;
So, we have:
[tex]3x^2 - 6x + 3 - 11= 0[/tex]
Expand [tex]3x^2 - 6x + 3[/tex]
[tex]3(x^2 - 2x + 1) - 11= 0[/tex]
Factorize the expression in the bracket;
[tex]3(x^2 - x -x + 1) - 11= 0[/tex]
[tex]3(x(x - 1) -1(x - 1)) - 11= 0[/tex]
[tex]3((x - 1)^2) - 11= 0[/tex]
[tex]3(x - 1)^2 - 11= 0[/tex]
By comparison: [tex]3(x - p)^2 + q = 0[/tex]
[tex]p= 1[/tex]
[tex]q = -11[/tex]
John won 72 pieces of gum
playing hoops at the
county fair. At school he
gave four to every student
in his math class. He only
has 4 remaining. How
many students are in his
class?
Answer:
Step-by-step explanation:
72 pcs gum - 4 remaining = 68 pcs of gum, 68 divided by 4
Divide 68 (amount of gumballs passed out to every student in Johns math class) by 4 (amount John gave to each student in his math class) = 17 Students in John math class Or 18 students when you include John.
How many solutions does this system of equations have?
Answer:
1 solution
Step-by-step explanation:
A solution to a system of linear equations is where the two lines meet. In this case, the system only intercepts each other once, therefore it only has 1 solution.
graph y = -3/2x - 3 .
Answer:
hope this helps
Step-by-step explanation:
Answer:
you have to graph it urself, but what you have to do is but the starting point at -3, and go down 3 on the y-axis, and up 2 on the x-axis. you can also go up 3 on the x-axis, and 2 down on the y-axis. i hope this explained it and helped you :)
Step-by-step explanation:
In a school election, 34 of the students vote. There are 1464 ballots. Write and solve an equation to find the numbers of students.
An equation is __?__ =1464.
There are a __?__ total of students.
Answer:
1464*.34=amount of students
Step-by-step explanation:
What’s the answer xx
Step-by-step explanation:
Hey there!
Given;
ABC is a Right angled triangle.
Taking angle "A" as reference angle, we get;
Perpendicular (p) = BC
hypotenuse (h) = 13cm
Base(b) = 8cm
We know;
[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]
[tex]or; \: p(BC) = \sqrt{ {h}^{2} - {b}^{2} } [/tex]
[tex] BC = \sqrt{ {13}^{2} - {8}^{2} } [/tex]
[tex] BC = \sqrt{169 - 64} [/tex]
[tex] BC = \sqrt{105} [/tex]
[tex] BC = 10.246[/tex]
Therefore, BC = 10.246cm.
Hope it helps...
Which of the following graphs is the solution set of -10 < 3x - 4 < 8?
Answer:
Its the first one . A
Step-by-step explanation:
The solution set for the given inequality is {-1, 0, 1, 2, 3}. Therefore, option A is the correct answer.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is -10<3x-4<8.
Now, -10<3x-4
Add 4 on both the sides of an inequality, we get
-6<3x
-2<x
Now, 3x-4<8
Add 4 on both the sides of an inequality, we get
3x<12
x<4
-2<x<4
Solution set is {-1, 0, 1, 2, 3}
Therefore, option A is the correct answer.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ2
240 projects in 15 days =
projects per day
Answer:
Step-by-step explanation:
240/15 is 16 projects per day
Answer:
16 projects per day
Step-by-step explanation:
Take the number of projects and divide by the number of days
240/15
16 projects per day
Are the lines parallel? y = x + 4 and y = x-2
A. yes, they have the same slope and a different y-intercept
B. no, they are not parallel
Answer:
A
Step-by-step explanation:
Remember that parallel lines have the same slope.
The y-intercept does not matter.
We have the two equations:
[tex]y=x+4[/tex]
And:
[tex]y=x-2[/tex]
The slope is the coefficient in front of the x.
In the first equation, we can rewrite it as:
[tex]y=(1)x+4[/tex]
Therefore, the slope of the first equation is 1.
Similarly, for the second equation, we can rewrite it as:
[tex]y=(1)x-2[/tex]
The slope of the second equation is also 1.
Therefore, since their slopes are equivalent, they are parallel.
Thus, our correct answer is A.
Evaluate -2x + 8y when x=1/3
and y = 1/6.Write your answer as a fraction in simplest form.
Answer:
2/3 or 0.6
Step-by-step explanation:
e^2x+2x-1=0
Solve the equation
x=0
Step-by-step explanation:Rewrite the question -2x+1=u and x= -u-1/2
Simplify
Rewrite 1=e^(u-1)u in Lambert Form e^(u)u
Solve u=1
Substitute back u= -2x+1, solve for x
x=0
:)I Hope you enjoy this:)What is 8 x 1/10 = ? Helooo? Couls some one please answaer me i am in the 6th grade so please answer i dont know this lol.
Answer:
0.8 or 4/5
Step-by-step explanation:
[tex]\large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
[tex]8 \times \frac{ 1 }{ 10 }[/tex]
[tex]Multiply \: 8 \: and \: \frac{1}{10} \: to \: get \: \frac{8}{10}.[/tex]
[tex]\frac{8}{10} [/tex]
[tex]Reduce \: the \: fraction \: \frac{8}{10} \: to \: lowest \\ \: terms \: by \: extracting \: and \: \\ canceling \: out \: 2.[/tex]
[tex]\frac{4}{5} [/tex]
[tex] \color{blue}\frac{2 ^ {2}}{5} = 0.8[/tex]
Need help with this please help
Answer: 3/4
Step-by-step explanation:
Slope=rise/run
In this case we rise up 3
And we run 4 to the right
Which makes the slope 3/4
Hi ! The answer would be 3/4.
To get this answer, the red line represents the RISE, and the blue line represents the RUN.
Your slope will always have RISE/RUN.
Now, you count how many squares there are in your rise, in this case, 3.
Then, you do the same for your run, which would be 4.
Rise/Run becomes 3/4.
What would determine it to be a negative? Well, if you see charts like these: You'll see that the red is going up, it is a positive slope, while the blue, which is going down, is a negative slope.
For example, if sales at your store increased, your slope would go up (positive), while if the opposite it'd go down (negative).
In this case, it is a positive slope.
On Wednesday, the store sign said that the new video game would be available in 33 days. On what day of the week should the sign say that it will be available in only 2 days?
Answer:
it depends on the month, assuming its october, its monday.
Step-by-step explanation:
Heeeeeeeeelp if u can but pls help
Answer:
16 units squared
Step-by-step explanation:
shbajabdhskan
Answer:
10
Step-by-step explanation:
a population of bears is decreasing the population this year is 200 bears after 1 year it is estimated that the population will be 160 bearsafter 2 years it is estimated that the population will be 128 bears what equation describes the bear population in any year x?
Answer:
200x-160
Step-by-step explanation:
CAN SOMEONE HELP ME PLS !!! RIGHT ANSWERS ONLY PLS <333
Answer:
90*
Step-by-step explanation:
because a 90 degree rotation is to the right on its side
Answer:
90 degees is right
Step-by-step explanation:
I checked
Describe how you would solve -2x - 3 < 5
Answer:
x > -4
Step-by-step explanation:
-2x-3<5
+3 +3
-2x<8
/-2 /-2
x>-4
Basically, you subtract -3 from both sides to isolate -2x. Now the equation should be -2x<8. You divide by -2 on both sides to isolate the variable (x) and you should end up with x<-4. You flip the sign because you divided by a negative number. You should end up with x>-4.
Write an equation in slope-intercept form that passes through (2, -3) and slope of -5.
Step-by-step explanation:
Hey there!
The given slope is "-5" and it passes through point (2,-3).
Use one-point formula to find out the equation.
[tex](y - y1) = m(x - x1)[/tex]
Put all values.
[tex](y + 3) = - 5(x - 2)[/tex]
Simplify it.
[tex](y + 3) = - 5x + 10[/tex]
[tex]y = - 5x + 10 - 3[/tex]
[tex]y = - 5x + 7[/tex]
Therefore, the equation is y= -5x+7.
Hope it helps...
Eric is a lifeguard at his community pool. Before working, he likes to swim laps to exercise. Eric started by swimming 12 laps and increases the number of laps he swims by 3 laps each week. - Identify the slope modeled by the linear relationship. Explain what the slope means in context of the problem. - Identify the y-intercept modeled by the linear relationship. Explain what the y-intercept means in context of the problem.
Answer:
Step-by-step explanation:
Eric started by swimming laps = 12
And increases number of laps each week = 3 laps
If Eric spends x week for the swimming, linear equation representing the number of laps 'y' after 'x' weeks will be,
y = 12 + 3x
Slope of the equation when graphed = 3
y - intercept of the equation = 12
Therefore, Slope of the equation represents the increase in laps per week.
And y-intercept represents the number of laps at the starting.
Liam earned $1,200 in 2 weeks at his job. Matthew earned $1,450 in 4 weeks at his job. Which explains who earned more per week? A. Liam earned more per week because in 2 weeks he earned $250 more than Matthew earned in 4 weeks. B. Liam earned more per week because in 2 weeks he earned almost the same amount as Matthew earned in 4 weeks. C. Matthew earned more per week because in 4 weeks he earned $250 more than Liam earned in 2 weeks. D. Matthew earned more per week because he worked twice as many weeks as Liam worked.
Answer:
B. Liam earned more per week because in 2 weeks he earned almost the same amount as Matthew earned in 4 weeks.Step-by-step explanation:
in this problem we want to find who earns more between Liam and Mathiew
given
Liam earned $1,200 in 2 weeks
Matthew earned $1,450 in 4 weeks
Another way to find out who earns more per week is to find their weekly earns
for Liam earned $1,200 in 2 weeks
in a week he will earn= 1200/2
=$600 per week
for Mathew earned $1,450 in 4 weeks
in a week he will earn= 1450/4
=$362.5 per week
In a week Liam earns more
Resolve the following equations
3x+4=2
HELP QUICK!! Sales tax is 6% in Virginia for most items. How much would you have to pay at the
register for an item with a price tag of $12.99?
Answer:
$13.77
Step-by-step explanation:
12.99 x 0.06
0.7794
0.7794+12.99
13.7694
$13.77
2x^4–5x^3+x^2+3x+2=?
X=5
Answer:
[tex]2x^4–5x^3+x^2+3x+2=[/tex]
[tex]2 \times 5^4–5 \times 5^3+5^2+3 \times 5+2[/tex]
= 2 × 625 – 5 × 125 + 25 + 3 × 5 + 2
=1250 – 625 + 25 + 15 +2
= 1292 – 625
= 667
Explain what is square root in simple form using example.
If something is written in its simplest radical form, that means that you have already found all possible roots and eliminated any radicals from the denominator of a fraction. ... For example, if your fraction is 2/√7, multiply by √7/√7 to get 2√7/√49. This will simplify to 2√7/7. hope this helps
Answer:
Square roots are the opposite of “squaring” a number, or multiplying it by itself. For example, three squared is nine (3 2 = 9), so the square root of nine is three. In symbols, this is √9 = 3. The “√” symbol tells you to take the square root of a number, and you can find this on most calculators.
Step-by-step explanation:
hope it helps
Nool is a computer repairman, To fix a computer,
he charges a customer X per hour, plus a fired
lee of $15 for the service call, as represented by
the equation below
y = 40x + 15
In the equation, what is represented by the variable
A the number of hours Noel worked
the amount Noel charged per hour
C, the fixed fee for the service call
D. the total cost of the repair job
Can someone