2 4/5÷(6÷2 1/2)
2 4/5÷2 2/5
1 1/12
can the following side lengths form a triangle?
Answer:
no
Step-by-step explanation:
The triangle inequality requires the sum of the shorter two sides exceed the length of the longest one. Here, we have ...
10 +12 = 22 . . . . does not exceed 22
The lengths will not form a triangle.
_____
Additional comment
Some authors write the triangle inequality as ...
a +b ≥ c
If this is the one your curriculum author uses, then these side lengths will form a triangle.
Sarah uses yard of ribbon to make a hair bow.
How many yards of ribbon will Sarah use to make 9 hair bows?
3 yd
6 3/4 yd
7 3/4 yd
9 3/4 yd
Use the Binomial Theorem to expand the binomial
(d + 5b)3
Answer:
[tex]\displaystyle{(d+5b)^3 = d^3 + 15bd^2 + 75b^2d + 125b^3}[/tex]
Step-by-step explanation:
The Binomial Theorem states that:
[tex]\displaystyle{(x+y)^n = \binom{n}{0}x^ny^0 + \binom{n}{1}x^{n-1}y^1+\binom{n}{2}x^{n-2}y^2 + \dots + \binom{n}{n}x^{n-n}y^n}[/tex]
Note that:
[tex]\displaystyle{_n C _r = \binom{n}{r} = \dfrac{_n P _r}{r!} = \dfrac{n!}{(n-r)!r!}}[/tex]
Therefore, first, we will write the expansion:
[tex]\displaystyle{(d+5b)^3 = \binom{3}{0}d^3(5b)^0 + \binom{3}{1}d^2(5b)^1+\binom{3}{2}d^1(5b)^2 + \binom{3}{3}d^0(5b)^3}[/tex]
Evaluate each terms:
[tex]\displaystyle{(d+5b)^3=\dfrac{3!}{3!0!}d^3 + \dfrac{3!}{2!1!}d^25b+\dfrac{3!}{1!2!}25b^2d + \dfrac{3!}{0!3!}125b^3}\\\\\displaystyle{(d+5b)^3 = d^3 + 15bd^2 + 75b^2d + 125b^3}[/tex]
Henceforth, [tex]\displaystyle{(d+5b)^3 = d^3 + 15bd^2 + 75b^2d + 125b^3}[/tex] is the expansion.
Which number line shows the solution of –5x + 10 > –15?
PLEASE HELP!! will give brainliest
Answer:
y = 2
Step-by-step explanation: Given in the question,
a co-ordinate = (-2,2)
x = -2
y = 2
Equation of the straight line
y = mx + c
here m = gradient of the line
c = y - intercept
we know that gradient of the horizontal line = 0
plug value in the equation above
y = (0)x + 2
y = 2
Look at the graph shown:
A coordinate plane is shown. A line passes through the y-axis at -1 and through the point 1 comma 2.
Which equation best represents the line? (4 points)
y = 1 over 3.x − 1
y = 3x − 1
y = 3x + 1
Answer:
y = 3x - 1
Explanation:
1)
passes y-axis means x will be 0,
when x = 0,
y = 3x − 1
y = 3(0)-1
y = -1 ................so matches with option 1.
2)
Here given in second option passes through ( 1 , 2 )
if x = 1
y = 3x − 1
y = 3(1) − 1
y = 2 ..........................so matches with option 2.
Therefore equation: y = 3x - 1 represents the current following.
Answer:
y = 3x - 1
Step-by-step explanation:
y=s when x=3, find when x=12
Answer:
y = s * 4
Step-by-step explanation:
You multiplied 4 to 3 to obtain 12:
x = 3 ; x = 3 * 4 ; x = 12
Therefore, if you multiply 4 to x, you must do the same to the other:
y = s
y = s * 4 is your answer.
~
all integers less than -6
Answer: -7, -8, -9, and so on
Step-by-step explanation:
This graph represents a linear function.
Which equation is represented by this graph?
Answer:
Answer is A
Step-by-step explanation:
» Consider two points plotted on the line;
(3, 0) and (0, -2)» General equation of a line has an expression in format of;
[tex]{ \rm{y = mx + c}}[/tex]
m is the slopec is the y-intercept» Finding the slope [m] :
[tex]{ \rm{slope = \frac{y_{2} - y _{1}}{x _{2} - x _{1} } }} \\ [/tex]
• But remember from the points or coordinates we fetched out of the graph;
[tex] { \tt{y_{2} = - 2}} \: \mid \: { \tt{y_{1} = 0}} \\ { \tt{x_{2} =0 }} \: \mid \: { \tt{x_{1} = 3}}[/tex]Therefore, lets feed in the formular:
[tex]{ \tt{m = \frac{ {}^{ - } 2 - 0}{0 - 3} = \frac{ - 2}{ - 3} }} \\ \\ { \boxed{ \tt{m = \frac{2}{3} }}}[/tex]
» Finding y-intercept [c] :
☑ REMEMBER: y = mx + c
• Consider point (0, -2)
[tex]{ \tt{y = mx + c}} \\ { \tt{ - 2 = ( \frac{2}{3} \times 0) + c}} \\ \\ { \boxed{ \tt{ \: c = - 2 \: }}}[/tex]
» Arrange the equation:
Equation is y = ⅔x - 2
The equation of the linear function in the given graph, in slope-intercept form, is: A. y = 2/3x - 2
What is the Equation of a Linear Function?The equation of a linear function can be defined by the equation, in slope-intercept form, as y = mx = b.
slope = my-intercept = bSlope (m) = rise/run = 2 units/3 units = 2/3
Y-intercept (b) = -2
Substitute b = -2 and m = 2/3 into y = mx + b.
y = 2/3x + (-2)
y = 2/3x - 2 (Option A)
Learn more about the equation of a linear function on:
https://brainly.com/question/15602982
#SPJ2
Can anyone help me with this? (6^-8)*(6^5) Please put it in fraction form
Answer:
1/216
Step-by-step explanation:
[tex]6^-^8 * 6^5 = (\frac{1}{6*6*6*6*6*6*6*6}) * (6*6*6*6*6)[/tex] [tex](\frac{1}{6*6*6*6*6*6*6*6}) * (6*6*6*6*6) = \frac{1}{6*6*6}[/tex] [tex]\frac{1}{6*6*6}= \frac{1}{216}[/tex][tex]\\ \tt\hookrightarrow 6^{-8}\times 6^5[/tex]
[tex]\\ \tt\hookrightarrow 6^{-8+5}[/tex]
[tex]\\ \tt\hookrightarrow 6^{-3}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{1}{6^3}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{1}{216}[/tex]
Tickets are £180.95 but a ticket tout is selling them for £225. How much profit is he making?
Answer:
£44.05 per ticket
24.3%
Step-by-step explanation:
The amount of profit per ticket is
£225 - £180.95 = £44.05
The percent profit is:
£44.05/£180.95 × 100% = 24.3%
Please help with #13! In parallelogram MLKJ below, find the measure of
Answer:
30 degrees
Step-by-step explanation:
The angle is a combination of the 14 degrees and 18 degrees from the opposite side
Hi! I need help ASAP. Thank you
Step-by-step explanation:
20
opposite angles are equal
6x = 120
x = 20
How do I calculate the number of divisors by the prime factors?.
To calculate the number of divisors by the prime factors, one has to take all the exponents in the factorization.
What is a prime factor?It should be noted that a prime factor simply means the prime numbers that are multiplied to get a number.
In order to calculate the number of divisors by the prime factors, one has to take all the exponents in the factorization, add one to each and then multiply the exponents.
Learn more about prime factors on:
https://brainly.com/question/945630
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6).
16x3 − 50x2 − 23x − 30
16x3 − 50x2 − 23x + 30
16x3 − 30x2 − 23x + 30
16x3 + 50x2 − 23x + 30
HELP DUE IN 15 MINUTES!!!! REFLECTIONS!
Answer:
D'(-1, 1)E'(-4, 8)F'(-8, 8)Step-by-step explanation:
The coordinates of the given vertices are ...
D(1, 1)E(4, 8)F(8, 8)Reflection across the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . . reflection across the y-axis
This means the reflected figure has coordinates ...
D(1, 1) ⇒ D'(-1, 1)
E(4, 8) ⇒ E'(-4, 8)
F(8, 8) ⇒ F'(-8, 8)
Using number line, add the following integers: (−3) + (5) + (−7)
Answer:
Step-by-step explanation:
If you want to add a positive integer, jump right side and if you want to add negative number, then jump left side.
-3 + 5 = 2
2 +(-7) = -5
Kayla's sandcastle was 7/12 of a foot tall and her sister's
was 1/6 of a foot tall. How much taller was Kayla's
sandcastle than her sister's?
Answer:
5/12 taller
Step-by-step explanation:
1/6 can also be represented as 2/12
Sisters: 2/12
Kayla's: 7/12
7/12 - 2/12 = 5/12
Answer:
5/12 inches taller!
Step-by-step explanation:
Kayla: 7/12 foot tall, and Sister: 2/12 or 1/6 of a foot tall.
No, not the people but the sandcastles. Take 2/12 from 7/12 and you get 5/12.
Which table shows y as a function of x?
Please answer accurately ♥
Answer:
B
Step-by-step explanation:
A, C, D, they both have numbers that are the same so that is one of the reason why it B
help me with this answer pls
Answer:
I think A is the answer
Step-by-step explanation:
Comment down if I am wrong but if I am right give me stars or a thank you or a thank you comment.
Answer:
I believe it is c 216-6n sorry hope you know what I am talking about
Step-by-step explanation:
m
help
Subtract 3x—y—z from the sum of 3x—y + z and 2x–y —z. what is the the
coefficient of x in the result?
with step pls
Answer:
the coefficient of x is 2
Step-by-step explanation:
(3x - y + z) + (2x - y - z) - (3x - y - z) = 3x - y + z + 2x - y - z - (3x - y - z)
Apply the distributive law: - (a - b) = -a + b
Therefore, - (3x - y - z) = -3x + y + z
So (3x - y + z) + (2x - y - z) - (3x - y - z) = 3x - y + z + 2x - y - z - 3x + y + z
Collect like terms: = 3x + 2x - 3x - y - y + y + z - z + z
Combine like terms: = 2x - y + z
Therefore, the coefficient of x is 2
Therefore, the coefficient of x is 2
The lines shown below are parallel. If the green line has a slope of -2, what is the slope of the red line?
Answer:
-2
Step-by-step explanation:
if lines are parallel then they always have the same slope!
Which expressions are equivalent to the expression below?
-1/3 - (-4 + 1/6)
There are more then one answer
your choices are
A. 1/6 - 1/3 - 4
B. -1/3 + 4 + 1/6
C. -(1/3 - 1/6) +4
D. -1/3 - 1/6 + 4
E. -1/3 - (4 - 1/6)
F. 4 - (1/3 + 1/6)
Given :-
-1/3 - ( -4 + 1/6 )To Find :-
The expression that is equivalent to one of the choices given .Solution :-
As we know that ,
→ (-) × (-) = (+)
→ (-) × (+) = (-)
→ (+) × (-) = (-)
→ (+) × (+) = (+)
On using these open the brackets ,
→ -1/3 - 1( -4 + 1/6 )
→ -1/3 - 1(-4) + -1(+1/6)
→ -1/3 (-)(-)(1* 4) (+)(-) (1*1/6)
On using now above stated rules ,
→ -1/3 +4 -1/6
Somewhat rearrange ,
→ 4 -1/3 -1/6
Take (-) as common,
→ 4 - (1/3 +1/6)
Hence Option (d) & (f) are correct .
I hope this helps.
There were 904 children signed up for the relay race if there were6 children on each team how many teams were made the remaining children servers as references. How many children served as references
Answer:150, 4
Step-by-step explanation:
904/6=150 and 4/6.
Sarah hopes to be 5 feet tall by her next birthday. Right now, she is 148 centimeters tall. how many more centimeter does Sarah need to grow before her next birthday to reach 5 feet? complete the sentences to answer the question.
Answer:
1 ft =30.48 c.m
5 ft= 5 *30.48cm
=152.4 c.m
to reach 5 feet she need to grow
=152.4 c.m-148c.m
4.4 c.m
Helpful I need help now please
Answer:
You need to actually input the question
Step-by-step explanation:
yeah
Suppose that the area of a square is
9
x
2
+
12
x
+
4
. What is the length of one of the sides of the square?
A.
3
x
+
2
B.
−
3
x
+
2
C.
3
x
−
2
D.
2
x
+
3
Answer:
A. 3x+2
Step-by-step explanation:
9x^2 + 12x + 4
can be factored:
(3x+2)(3x+2)
All sides of a square are the same length. The area is two of the sides multiplied together. Thus, (3x+2) must be the length of a side (all sides, actually)
3x+2
The scale of map is 14 cm long. Calculate the actual length of the river in kilometres
a) A river on the map is 14 cm long. Calculate the actual length of the
river in Kilometres.
b) The actual distance between two towns is 765 km. Calculate the distance between these towns on the map.
*brainliest will be given if you answer both part A and B ;) *
** NO LINKS ALLOWED, IF I SEE ANY I WILL REPORT YOU!**
Answer:
Step-by-step explanation:
Given:
1cm = 85 km (on the map)
so map is
14 x 14 long or 85 x 85
Part A:
since the map is 14cm long, and the river is also 14 cm long, and each centimeter is equal to 85km, that means, =
14 x 85 = 1190km
so the river is 1190km long
Part B:
we can use just convert 765 into map cm to get answer,
sooo
765/85 = 9cm
SO THERE YOU HAVE IT:D
if you graph the line x=-6 what type of slope would it have?
A.Positive
B. Negative
C.Zero
D. undefined
Answer:
undefined
Step-by-step explanation:
x=-6 is a vertical line at x=-6.
Any vertical line has an undefined slope.
Let's pick two points on x=-6– (-6,1) and (-6,0)
(1-0)/(-6-(-6))=1/-6+6=1/0
Because you cannot divide by 0, a vetical line has an undefined slope.
Solve for x
4(x-1)=2(6-2x)
Thank you! :)
Answer:
x=2
Step-by-step explanation:
4x-4=12-4x
8x=16
x=16/8
x=2
(brainliest plz :o)
