GEOMETRY: need some help on these equations, i'm giving a lot of points for this.
Answers
Answer:
1) ML=93
2) GE=58
Step-by-step explanation:
1)
We want to find ML.
So, we need to find x first.
Note that the entire segment, NK, is the addition of the segments NM, ML, and LK. So:
[tex]NM+ML+LK=NK[/tex]
And we know their equations. So, substitute 110+4x for NM, x+103 for ML, 70 for LK, and x+243 for NK. Thus:
[tex](110+4x)+(x+103)+(70)=x+243[/tex]
On the left, combine like terms:
[tex](4x+x)+(110+103+70)=x+243[/tex]
Add:
[tex]5x+283=x+243[/tex]
Subtract 283 from both sides:
[tex]5x=x-40[/tex]
Subtract x from both sides:
[tex]4x=-40[/tex]
Divide both sides by 4:
[tex]x=-10[/tex]
So, the value of x is -10.
Substitute this into ML to find it. So:
[tex]ML=(-10)+103[/tex]
Add:
[tex]ML=93[/tex]
And we're done!
2)
Here, we want to find GE. This means solving for x again.
Note that HF plus FE equates to the entire segment.
HG plus GE also equates to the entire segment.
Thus:
[tex]HF+FE=HG+GE[/tex]
Substitute 3x-129 for HF and 4 for FE.
Substitute 13x-993 for HG and 3x-185 for GE. Thus:
[tex](3x-129)+(4)=(13x-993)+(3x-185)[/tex]
Combine like terms on both sides:
[tex](3x)+(-129+4)=(13x+3x)+(-993-185)[/tex]
Add or subtract:
[tex]3x-125=16x-1178[/tex]
Add 1178 to both sides:
[tex]3x+1053=16x[/tex]
Subtract 3x from both sides:
[tex]1053=13x[/tex]
Divide both sides by 13:
[tex]x=81[/tex]
So, the value of x is 81.
To find out GE, GE is the 3x-185. So:
[tex]GE=3(81)-185[/tex]
Multiply:
[tex]GE=243-185[/tex]
Subtract:
[tex]GE=58[/tex]
And we're finished!
Related Questions
Give the absolute value of expression |-12.1|
Answers
Answer:
12.1
Step-by-step explanation:
its just how many spaces away from 0 it will never be a negetive #
Indentify the segment bisector of RS
Answers
Answer: line k is the segment bisector and the distance between RS is 34
A football team gains 5 yards, then loses 2 yards then gains another 6 yards, then loses 3 yards what is their net gain or loss?
Answers
Answer:
6 yards net gain
Step-by-step explanation:
Use the functions f(x)=2x and g(x)= x^2+1 to find the value of each expression.
7. f(3)+g(4) 8. g(3)+f(4)
Answers
Answer:
First, you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.
Step-by-step explanation:
To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.
(f + g)(x) = f (x) + g(x)
= [3x + 2] + [4 – 5x]
= 3x + 2 + 4 – 5x
= 3x – 5x + 2 + 4
= –2x + 6
(f – g)(x) = f (x) – g(x)
= [3x + 2] – [4 – 5x]
= 3x + 2 – 4 + 5x
= 3x + 5x + 2 – 4
= 8x – 2
(f × g)(x) = [f (x)][g(x)]
= (3x + 2)(4 – 5x)
= 12x + 8 – 15x2 – 10x
= –15x2 + 2x + 8
\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(
g
f
)(x)=
g(x)
f(x)
= \small{\dfrac{3x+2}{4-5x}}=
4−5x
3x+2
My answer is the neat listing of each of my results, clearly labelled as to which is which.
( f + g ) (x) = –2x + 6
( f – g ) (x) = 8x – 2
( f × g ) (x) = –15x2 + 2x + 8
\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(
g
f
)(x)=
4−5x
3x+2
What is the slope? Please answer ASAP
Answers
(Got it from google lol hope it helped!)
Which table of ordered pair represent a proportional relationship?
Answers
Answer:
Your answer is (B.) because 2 times 5 is 10. 4 times 5 is 20. and 6 times 5 is 30, these make proportional relationships.
Step-by-step explanation: hope this help
Simplify 7x^2 + 3 - 5(x^2-4)
Answers
Answer:
2x^2 + 23
Step-by-step explanation:
For this problem, we will simply combine like terms after using the distributive property:
7x^2 + 3 - 5(x^2 - 4)
= 7x^2 + 3 - 5x^2 + 20
= 7x^2 - 5x^2 + 3 + 20
= 2x^2 + 23
Cheers.
Answer:
2x^2 + 23
Step-by-step explanation:
The third option
y−5=3(y−3) [tex]y−5=3(y−3)[/tex]
Answers
Steps to solve:
y - 5 = 3(y - 3)
~Distribute right side
y - 5 = 3y - 9
~Add 5 to both sides
y = 3y - 4
~Subtract 3y to both sides
-2y = -4
~Divide -2 to both sides
y = 2
Best of Luck!
A community is planning to build a rectangular garden. The width of the garden is 17 /4 feet (ft), and the perimeter of the garden is 24.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed?
Answers
Answer:
34 square feet
Step-by-step explanation:
First, you need to find the other side of the garden in order to find the area a=l*w
The formula to find the length is, p-w*2=x x÷2=l
because, perimeter is l+l+w+w and area is just l*w
4.25*2=8.50
24.50-8.50=16
16÷2=8
l=8
So now we need to multiply the length and width to get the area.
8*4.25=34 sq. ft.
I hope that helps!
An expression is given: 2 open parentheses square root of k minus 1 close parenthesis plus square root of 8. If on adding negative 6 square root of 2to the expression results in a rational number, what is the value of k?
Answers
Answer:
Possible value of k is √2
Step-by-step explanation:
The information given are;
The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;
2·(√k - 1) + √8 - 6·√2 = R
Therefore, simplifying gives;
2·√k - 2 + 2·√2 - 6·√2 = 2·√k - 2 - 4·√2 = R
2·√k - 2 - 4·√2 + 2= R + 2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k - 2+ 2 - 4·√2 = R
2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R
(√k - 2·√2) = R/2 = R
Therefore, √2 is a factor of √k such that √k - 2·√2 = R
Which gives k = x·√2, where x = a rational number
When x = 1, k = √2.
Therefore, a possible value of k is √2
The instructor had saved $3,500 and rents an apartment for $275 monthly. He believes the point (6, 1850) would be on the equation of the line. Is he correct? Explain how to check if a point is on a line. Please I need this right knowWrite a sentence using an adverb clause illustrating the following usage. contrast
Answers
Answer:
Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.
Step-by-step explanation:
Answer:Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent.
Step-by-step explanation:
What is this?
[tex] \frac{f}{4} - 5 = - 9[/tex]
I don't know this one bruh
Answers
Hey there!
ANSWER: [tex]f=-16[/tex]EXPLANATION:[tex]\frac{f}{4}-5=-9[/tex]
Simplify both sides and you get:
[tex]\frac{1}{4}f-5=9[/tex]
Now add 5 to both sides and you get:
[tex]\frac{1}{4}f=-4[/tex]
Now you have to multiply both sides and you get:
[tex]f=-16(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
what is the answer to -9 x (-9) x (-9)
Answers
[tex]\text {Hey! Let's Solve this Problem!}[/tex]
[tex]\text {We Know That: Multiply a Negative to a Negative will Equal a Positive.}[/tex]
[tex]\text {We Also Know: Multiply a Positive to a Negative will Equal a Negative.}[/tex]
[tex]\text {Multiply:}[/tex]
[tex]\text {-9*-9=81}[/tex]
[tex]\text {Multiply:}[/tex]
[tex]\text {81*-9=}[/tex]
[tex]\text {Your Answer would be:}[/tex]
[tex]\fbox {-729}[/tex]
[tex]\text {Best of Luck!}[/tex]
what is 75.3% of 1394
Answers
Answer:
1049.682 is 75.3% of 1394 or as a fraction is 1049 341/500
Step-by-step explanation:
1394/x=100/75.3
(1394/x)*x=(100/75.3)*x - we multiply both sides of the equation by x
1394=1.32802124834*x - we divide both sides of the equation by (1.32802124834) to get x
1394/1.32802124834=x
1049.682=x
x=1049.682
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1049.682}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{75.3\% \: of \: 1394}[/tex]
Convert 75.3 percent into fraction
To convert a percentage to a fraction, divide it by 100
[tex] \dashrightarrow{ \sf{ \frac{75.3}{100} \times 1394}}[/tex]
Calculate
[tex] \dashrightarrow{ \boxed{ \sf{1049.682}}}[/tex]
Hope I helped!
Best regards! :D
Which function describes the table of values?
Answers
Answer:
C. f(x)=3x-1
eg. f(2)=3(2)-1 = 5
Product or (6x+3) and (2x-3)?
Answers
Step-by-step explanation:
(6x+3)x(2x-3)
6x x 2x=12x^2
3 x -3=-9
12x^2-9
Idk if you need to simplify more but I hope it helps!
It cost Connor $1.20 to send 8 text messages. How much would it cost to send 98 text messages?
Answers
Answer:
14.7
Step-by-step explanation:
What is the value of the expression below?
43
5
+3.55
017
0 181
10219
024
Answers
pls help me i dont understand.
Answers
Answer:
- 2.2× (-2) ÷ (-1/4)×5
- 2.2× (-2) × (-4) ×5
4.4 × (-20)
-88
Step-by-step explanation:
Answer:
Step-by-step explanation:
For fraction division, multiply with the reciprocal of the fraction.
Reciprocal of (-1/4) = -4/1
-22 * (=2) ÷ (-1/4) * 5 = [tex]-22 * (-2) * \frac{-4}{1}*5\\[/tex]
[tex]= -22 * (-2) * (-4) * 5\\\\= - 880[/tex]
need help with this 9/11+3/4=?
Answers
Answer:
1.57
Step-by-step explanation:
9/11+3/4
=1.56818181818181.....
=1.57
Answer:
69/44
Step-by-step explanation:
=(9x4) + (3x11)
___________
11x4
=69/44 or 1 25/44
The sum of a number and three is forty-one.Find the number
Answers
Answer:
Step-by-step explanation:
x + 3 = 41
x = 38
Which of the following statements is true? A)The number 0 is a natural number.
B)The number 1/2 is an integer.
C)The value π is a rational number.
D) The number -5 is a real number.
Answers
Answer:
A. The number zero is a natural number
Answer:
These are correct
A) TRUE
B) FALSE
C) FALSE
D) TRUE
Solye for x
7(x + 1) = 21
Answers
Answer:
x = 2
Step-by-step explanation:
Given
7(x + 1) = 21 ( divide both sides by 7 )
x + 1 = 3 ( subtract 1 from both sides )
x = 2
Answer:
x=2
Step-by-step explanation:
7×(x +1)=21
7x +7 =21
7x =21 - 7
7x =14
x=14 :7
x=2
7 ×(2 +1)=21
7 ×3 =21
21 =21
What is the value of C-F
Answers
Answer:
The sweat chloride reference value is less than 30 mmol/L. A value of more than 60 mmol/L of chloride in the sweat is consistent with a diagnosis of cystic fibrosis. The values of 30-60 mEq/L may represent heterozygous carriers, these carriers cannot be accurately identified with a sweat chloride test.
what is the area of a circle. Using 3.14 for. A circle with diameter of 8.4 ft.
Round to the nearest tenth if necessary
[tex]\pi[/tex]
Answers
Hey there! I'm happy to help!
First, let's find the radius. The radius is half of the diameter.
8.4/2=4.2
Here's how to find the area of a circle.
Square the radius.
4.2²=17.64
And multiply by pi (3.14 in our case)
17.64(3.14)=55.3896
We round to the nearest tenth, giving us an area of 55.4 ft²
Have a wonderful day! :D
Can you answer this question please
Answers
Explanation:
Describe the transformation from the parent function to f(x)=(x−4)^2
Answers
Answer:
t665656yyt5ttr
Step-by-step explanation:
Henry purchased compact dkks for $112. The compact discs cost $16 each.
Which of the following equations could you use to find how many compact dises, Henry pureme
412 -
2012 - 316
$16 = $112*
$112x316
Answers
Answer: B. $112 = $16 x
Hope this helps!
Seth found two new ways to get to school. Which route is faster for Seth, when school is 17 miles away?
A graph titled Bus Stop 1 has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through (0, 5), (6, 8) and (12, 11).
A 2-column table with 3 rows titled Friend's House. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8.
Bike from work: His dad's work is 5 miles from school and Seth bikes at 0.2 miles per minute.
Relative's house: y = 1.2 x minus 4.
Answers
Answer:
DStep-by-step explanation:
Which property will help solve One-ninth + t = 7 for t?
addition property of equality
transitive property of equality
symmetric property of equality
multiplication property of equality
Answers
Answer:
addition property of equalityStep-by-step explanation:
Adding the same number to both sides of equation doesn't change the equality.
¹/₉ + t = 7
+(-¹/₉) +(-¹/₉)
t = 7 + (-¹/₉) = 7 - ¹/₉ = 6⁸/₉
addition property of equality