Answers
Answer:
16
Step-by-step explanation:
If triangle GFE is similar to triangle RST, using the similarity theorem
RS/RT = GF/EF
Using pythagoras theorem;
RT² = 10² - 6²
RT² =100 - 36
RT² = 64
RT = √64
RT = 8
Recall that RS/RT = GF/EF
10/8 = 20/EF
Cross multiply
10EF = 8 * 20
10EF = 160
EF = 160/10
EF = 16
Hence the missing length is 16
Related Questions
The speed of an object is the ratio of its distance traveled to time. If the speed of a bicycle is 4.5 meters per second, what is the distance traveled in 9 seconds?
Answers
Answer:
40.5 meters
Step-by-step explanation:
4.5m/s • 9s = 40.5m
Find the value of p.
-25 = -4p + 19
Answers
4p= 19+25
2. Add 19 and 25
4p= 44
3. Divide by 4
p= 11
Answer:
9.75
Step-by-step explanation:
-25 = -4p + 19
-25 - 19 = -4p
-39 ÷ -4 = p
9.75 = p
Someone help! It is urgent!!!
Answers
Answer:
a. f(-1)=12
b. f(2t)=16t²-6t+5
c. f(t-2)=4t²-19t+27
Step-by-step explanation:
For a, b, c, we are given an input. We plug that into f(x) to find our answers.
a. f(-1)=12
f(-1)=4(-1)²-3(-1)+5
f(-1)=4+3+5
f(-1)=12
-------------------------------------------------------------------------------------------------------------
b. f(2t)=16t²-6t+5
f(2t)=4(2t)²-3(2t)+5
f(2t)=4(4t²)-6t+5
f(2t)=16t²-6t+5
-------------------------------------------------------------------------------------------------------------
c. f(t-2)=4t²-19t+27
f(t-2)=4(t-2)²-3(t-2)+5
f(t-2)=4(t²-4t+4)-3t+6+5
f(t-2)=4t²-16t+16-3t+6+5
f(t-2)=4t²-19t+27
Writing Linear Equations
Answers
The answer to A is Gabe, the answer to B is Mila and I don't have an answer to C, try inputting it into a calculator. Sorry.
A)
y = ax + b
b = 40 as the line starts at (0 ; 40)
then the line goes down => so a < 0
between the 1st point and the second, we go 2 units on the right and we go 1 unit down
so a = - 1/2 = - 0,5
finally y = - 0,5x + 40
B)
y = ax + b
with
a = (-6 ; 0) / (0 ; -30) = 6/30 = 1/5
with the point ( 0 ; -6) we know that b = -6
finally y = 1/5x - 6
C)
we use the point (0 ; - 10)
so Amir is right as b will be - 10
find the equation of the following lines:
parallel to the line joining (1;2) and (-2;-2) and passing through (4;1)
passing through the point (2; -3) and perpendicular to the line joining (2;-3) to (-1;-1)
Answers
Answer:
\(\textsf{1)}\quad y = \dfrac{4}{3}x-\dfrac{13}{3}\)
\(\textsf{2)} \quad y = \dfrac{3}{2}x-6\)
Step-by-step explanation:
To find the equation of a line parallel to the line joining (1, 2) and (-2, -2) and passing through (4, 1), we first need to find the slope of the line joining (1, 2) and (-2, -2).
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-2}{-2-1}=\dfrac{-4}{-3}=\dfrac{4}{3}\)
Parallel lines have the same slope, so the slope of the parallel line is m = 4/3.
Substitute the found slope and point (4, 1) into the point-slope formula:
\(\begin{aligned} y - y_1 &= m(x - x_1)\\\\y - 1 &= \dfrac{4}{3}(x - 4)\\\\y - 1 &= \dfrac{4}{3}x-\dfrac{16}{3}\\\\y &= \dfrac{4}{3}x-\dfrac{13}{3}\end{aligned}\)
Therefore, the equation of the line parallel to the line joining (1, 2) and (-2, -2) and passing through (4, 1) is:
\(\boxed{y = \dfrac{4}{3}x-\dfrac{13}{3}}\)
\(\hrulefill\)
To find the equation of a line perpendicular to the line joining (2, -3) and (-1, -1) and passing through (2, -3), we first need to find the slope of the line joining (2, -3) and (-1, -1).
\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-(-3)}{-1-2}=\dfrac{2}{-3}=-\dfrac{2}{3}\)
The slopes of perpendicular lines are negative reciprocals, so the slope of the parallel line is m = 3/2.
Substitute the found slope and point (2, -3) into the point-slope formula:
\(\begin{aligned} y - y_1 &= m(x - x_1)\\\\y - (-3) &= \dfrac{3}{2}(x - 2)\\\\y+3&= \dfrac{3}{2}x-3\\\\y &= \dfrac{3}{2}x-6\end{aligned}\)
Therefore, the equation of the line perpendicular to the line joining (2, -3) and (-1, -1) and passing through (2, -3):
\(\boxed{y = \dfrac{3}{2}x-6}\)
WILL GIVE BRAINILEST!!!!!
Answers
Answer:
85/6 sq in × 5/2 in = 425/12 cu in.
Which of the following is the graph of f(x) = -0.5|x + 31-2?
Answers
Answer:
0.5x+ 29
Step-by-step explanation:
collect like terms 0.5x+(31-2)
simplify 0.5x+29
+
120
A. Right
B. Obtuse
C. Acute
D. Equilateral
E. Scalene
OF. Isosceles
Answers
Answer:
See below
Step-by-step explanation:
Isosceles because two sides are same length
and
Obtuse because there is an interior angle greater than 90 °
Write an expression using the distributed property to dind the product of 7x63
Answers
The product of the expression 7 x 63 is 441.
We have,
To find the product of 7 x 63 using the distributive property, we can break down 63 as the sum of its factors, such as 60 and 3:
7 x 63 = 7 x (60 + 3)
Now, we can apply the distributive property by multiplying 7 to each term inside the parentheses:
7 x (60 + 3) = 7 x 60 + 7 x 3
Simplifying further:
7 x 60 + 7 x 3 = 420 + 21
Therefore,
The product of 7 x 63 is 441.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
what is the next number in the patter
2, 7, 12, 17
Answers
Answer:
22
Step-by-step explanation:
Add 5
Answer:
2, 7, 12, 17, _____
the pattern is increasing by 5, so add 5 to 17
you get 22 as your answer
Step-by-step explanation:
Can someone help me , & help me understand the symbols better ? I really need help by someone who’s good at this !
Answers
Answer:
section 3 (numbered top to bottom left to right)section 7Step-by-step explanation:
The symbols of interest here are ...
∪ -- union. Everything that is in either of the sets.
∩ -- intersection. Everything that is in both of the sets.
superscript C -- complement. Everything that is not in the set. An apostrophe (') can also be used to signify the complement.
__
(a) A∩B∩C'
In the first attachment, set A is all of the sections marked 2, 3, 5, 6. Set B is all of the sections marked 3, 4, 5, 7. The sections in both sets are where the circles for A and B overlap:
A∩B = {3, 5}
The sections that are not in set C are 1, 2, 3, 4. So, the one section that is in A∩B, but outside C is section 3.
The checked section is shown in the second attachment.
__
(b) A'∩B∩C
In the first attachment, set A' is all of the sections marked 1, 4, 7, 8. These are all of the sections not in set A. The ones of these that are also in set B are 4 and 7. And the one of these that is also in set C is section 7.
The checked section is shown in the third attachment.
900 employees had put their names in a lucky draw. When the lucky numbers were drawn. The first draw eliminated 20% of the people, the second draw eliminated 30% of the remaining people and the third draw eliminated exactly one third of the remaining people. How many people were eliminated in the third draw?
Answers
Answer: in the third draw 33.33% people eliminated.
Step-by-step explanation:
Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked. Select the equation and solution to find the number of miles m for which Tonya and Beth would charge the same amount. Group of answer choices
8m = 20
m = 10
m=2.5
20 + 3m +5m = 0
m = 12
20 + 3m = 5m
Answers
Answer:
Step-by-step explanation:
5m = 3m + 20
2m = 20
m = 10 miles
A number has 7 in its thousands place and is less than 54,00. How many such numbers are there?
Answers
There are 9,000 numbers that have 7 in the thousands of places and are less than 54,000.
Consider the possible digits in the hundreds, tens, and one's places.
Thousands of places: There is only one possibility, which is 7.
Hundreds place: Any digit from 0 to 9 is possible.
Tens place: Any digit from 0 to 9 is possible.
One place: Any digit from 0 to 9 is possible.
Since the number is less than 54,000, the digit in the hundreds place cannot be 5.
So, there are 9 possible digits (0 to 9, except 5) for the hundreds place, and 10 possible digits (0 to 9) for the tens and one's places.
So, the total number of such numbers is:
9 x 10 x 10 x 10 = 9,000
Therefore, there are 9,000 numbers that satisfy the given condition.
Learn more about permutation here:
brainly.com/question/1216161
#SPJ1
Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the
function gives a line with a slope of -0.13. See the figure below.
There is $28.51 in credit remaining on the card after 27 minutes of calls. How much credit will there be after 36 minutes of calls?
Answers
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
what is function ?Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.
given
Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).
m(call time) + b = credit
The function produces a line with a slope of -0.14 when graphed.
After 43 minutes of calls, the card's balance is $26.02 left.
After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04
credit?
C(32) = -0.14(32) + 32.04\sC(32) = $27.56
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
To know more about function visit:
https://brainly.com/question/28193995
#SPJ1
A line segment with one end at A (-3,2) has midpoint M (2,-3). Find the coordinate of the other end point B.
(A.) B (-1,-1)
(B.) B (5,-5)
(C.) B (1,-4)
(D.) B (7,-8)
Answers
Answer:
D
Step-by-step explanation:
since all x coordinates are distinct, lets just find the x coordinate (multiple choice question)
Midpoint formula:
given two points, (x1, y1) and (x2, y2)
the midpoint is ((x1+x2)/2, (y1+y2)/2)
-3+x2 = 2*2
x2 = 7
Malcolm trains on his kayak every weekend. He paddles upstream (against current) for 3 ½ hours and then returns downstream (with current) in 2hrs 6 minutes. If the river flows at 3km/ h, find:
* The paddling speed in still water
* The distance he paddles upstream.
Answers
The probability she pulls out a purple piece of candy would be 0.22.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is Sam's fathers collection.
We can write the equations for upstream and downstream as -
x - y = 7/2
x + y = 21/10
Solving the equations graphically -
{x} = 2.8
{y} = 0.7
In still water, the speed would be -
S = 3 - 0.7
S = 2.3 Km/h
Distance peddled upstream -
D = 2.8 x 3.5 = 9.8 Km
Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.
To solve more questions on functions & expressions, visit the link below
brainly.com/question/17613163
#SPJ1
A rectangular paperboard measuring 33 inches long and 24 inches wide has a semicircle cut out of it, as shown below. Find the area of the paperboard that remains. Use the value 3.14 , and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer: 565.92 square inches.
Step-by-step explanation:
To find the area of the paperboard that remains, we need to subtract the area of the semicircle from the area of the rectangle.
The rectangle has a length of 33 inches and a width of 24 inches, so its area is:
A_rect = length x width
A_rect = 33 in x 24 in
A_rect = 792 sq in
To find the area of the semicircle, we need to first find its radius. The diameter of the semicircle is the same as the width of the rectangle, which is 24 inches. So, the radius is:
r = 1/2 x diameter
r = 1/2 x 24 in
r = 12 in
The area of the semicircle is:
A_semicircle = 1/2 x pi x r^2
A_semicircle = 1/2 x 3.14 x 12^2
A_semicircle = 1/2 x 3.14 x 144
A_semicircle = 226.08 sq in
To find the area of the paperboard that remains, we subtract the area of the semicircle from the area of the rectangle:
A_remaining = A_rect - A_semicircle
A_remaining = 792 sq in - 226.08 sq in
A_remaining = 565.92 sq in
Therefore, the area of the paperboard that remains is 565.92 square inches.
What is the volume of the rectangular prism?
Answers
V=1.5(3.5)(1)
V=5.25 in cubed
hope this helps!!
If the given figure is rotated 180° around the origin, what are the new coordinates of point Z? Z= (6,-9)
Answers
Answer:
Step-by-step explanation:
Try and draw it on a grid and just rotate your book up to 180
Write $3.9 out of $60 as percentage
Answers
Answer:
Step-by-step explanation:
\(\frac{3.9}{60}*100=\frac{13}{2}\)
= 6.5%
The zero of this function is 3 . What do you think "zero of a function" means?
Answers
The zeros of a function are the values of x that, when evaluated in the function, make the output of the function to be zero.
What doe the "zero of a function" means?A function is written in general form as y = f(x)
That notation says that, when we use the input "x" in a given function, that function "transforms" that input x into an output "y"
So y = f(x) is the value that the function takes for the input x.
A zero is an input of the function such that:
0 = f(x)
So the zeros are the inputs that have an output of zero, in this case you know that the function has a zero at 3, and as you can see, when x = 3, the function intercepts the x-axis, which is the axis defined by y = 0.
Learn more about the zeros of a function:
https://brainly.com/question/65114
#SPJ1
“Benjamin Franklin was born in Milk Street, Boston, on January 6, 1706. His father, Josiah Franklin, was a tallow chandler [candle maker] who married twice, and of his seventeen children Benjamin was the youngest son. His schooling ended at ten, and at twelve he was bound apprentice to his brother James, a printer, who published the ‘New England Courant.’ To this journal he became a contributor, and later was for a time its nominal editor. But the brothers quarreled, and Benjamin ran away, going first to New York, and thence to Philadelphia, where he arrived in October, 1723.”
Which is the best summary of this excerpt?
Benjamin Franklin was born in 1706. He went to Philadelphia in 1723 after a fight with his brother.
Benjamin Franklin, born in Boston in 1706, was the youngest of his father’s seventeen children. He stopped going to school at age ten, and soon after started apprenticing for his brother James, a printer, who published the “New England Courant.” Franklin became a writer and editor for the paper, but left Boston for Philadelphia in 1723 after an argument with James.
Benjamin Franklin, born in 1706, lived in Boston, New York, and Philadelphia in his early life.
Benjamin Franklin was born in Boston in 1706. He was the youngest of his father’s seventeen children. His father, Josiah, was a candle maker. Franklin’s schooling ended at age ten, and at age twelve, he started apprenticing for his brother James, who published the “New England Courant.” After apprenticing, Franklin started contributing to the paper. Later, he became an editor.
Answers
Correct answer: Benjamin Franklin held different jobs at "New England Courant".
. Descompuneti in factori:
a) 4x + 4x -35;
c) 4x2+ 20x - 11;
e) 4x2 + 12x - 16;
g) 16x7 + 24x - 40;
i) 25x + 10x - 48;
h ) 25x2 -
j) 16x2 + 40x - 39.
Answers
The factors of the expression 16x²+40x-39 are (4x-3)(4x+13).
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
A) 4x+4x-35
= 8x-35
C) 4x²+20x-11
= 4x²+22x-2x-11
= 2x(2x+11)-1(2x+11)
= (2x+11)(2x-1)
E) 4x²+12x-16
= 4x²+16x-4x-16
= 4x(x+4)-4(x+4)
= (4x-4)(x+4)
= 4(x-1)(x+4)
G) 16x⁷+24x-40
= 8(2x⁷+3x-5)
I) 25x+10x-48
= 35x-48
J) 16x²+40x-39
= 16x²-12x+52x-39
= 4x(4x-3)+13(4x-3)
= (4x-3)(4x+13)
Therefore, the factors of the expression 16x²+40x-39 are (4x-3)(4x+13).
To learn more about the factorisation of polynomial visit:
https://brainly.com/question/16789195.
#SPJ1
3(3+2x)=2(-4+3x) has how many solutions?
Answers
Answer:
no solution
Step-by-step explanation:
Answer:
1x.
..................................
hope it will works
..................................
-36 is a perfect square?
Answers
Answer:
no i think soo
Step-by-step explanation:
please help me understand and solve this
Answers
Step-by-step explanation:
just multiple them and you'll get the results and the results you got add them together
Parametric Functions
Answers
Answer:
Step-by-step explanation:
it think it 23 becasue u add
1 divide it by 2
1. Which fraction is bigger than 2/3
A. 2/5
B. 4/7
C. 2/4
D. 3/4
Answers
Answer:
3/4
Step-by-step explanation:
When you convert all of them to decimals, 3/4 is the largest.
Answer:
D. 3/4Step-by-step explanation:
3/4 is bigger than 2/3l hope it helps ❣❣❣❣can I have help pls
Answers
Answer:
1. b
2. a
3. a
Step-by-step explanation:
1. the answer is x=7
2 and 3 answer is x = R which isn't really a real solution
Answer: it is right same exact test i did