Answer:
f^2=49
Step-by-step explanation:
Select all equations that are equivalent to (5x+6)2=3−(4x+12) .
a. 5x+6=3−(4x+12)
b. (5x+6)2=−4x−9
c. 52x+3=3−(4x+12)
d. (5x+6)2=−4x+15
e. 5x+6=−8x−18
Answer:
B
Step-by-step explanation:
ita only b .............
The equations that are equivalent to (5x + 6)2 = 3-(4x +12) is (5x+6)2=−4x−9.
Option B is correct.
The very first thing to do is to solve the expression in the given question.
SO,
(5x + 6)2 = 3-(4x +12)
Open brackets
10x + 12 = 3 - 4x - 1210x + 12 = -4x - 9Collect like terms
10x + 4x = -9 - 1214x = -21x = -21/14
Now, we will solve each of the given options to determine which one corresponds to the solution to the expression above.
Starting with Option (a)
5x + 6 = 3 - (4x + 12)
Open brackets
5x + 6 = 3 - 4x - 125x + 6 = -4x - 95x + 4x = -9 - 69x = -15x = -15/9Option (a) is incorrect
b.
(5x + 6 )2 = -4x - 9
Open brackets
10x + 12 = -4x -9Collect like terms10x + 4x = -12 -914x = -21x = -21/14Option (b) is correct
(c.)
52x + 3 = 3 - (4x + 12)
Open brackets
52x + 3 = 3 - 4x - 1252x + 3 = -4x - 952x + 4x = -9 - 356x = - 12x = -12/56x = -3/14Option (c) is incorrect
(d)
(5x + 6)2 = -4x + 15
Open brackets
10x + 12 = -4x + 1510x + 4x = -12 + 1514x = 3x = 3/14Option (d) is incorrect
(e)
5x + 6 = -8x - 18
Collect like terms
5x + 8x = -18 - 613x = - 24x = -24/13Option (e) is incorrect
Therefore, we can conclude that the correct equation equivalent to the given expression in the question can be seen in Option b.
Learn more about algebraic expression here:
https://brainly.com/question/11227332?referrer=searchResults
im failing Geometry if anyone is good at Geometry and want to help me i attached 5 problems i greatly appreciate anyone that helps
Answer:
x = 12
Step-by-step explanation:
Here we go!
What we know:
So 7x and 8x are part of a same side interior angle. meaning, they add up to 180°!
[tex]8x + 7x = 180[/tex]
Combine like terms
[tex]15x = 180[/tex]
Divide 15 from both sides
[tex]x = 12[/tex]
Let's check our work:
plug in x
7(12) + 8(12) = 180
multiply
84 + 96 = 180
add
180 = 180
What do the following two equations represent? y = -x+5 and 5x+5y=20
Answer:
distinct parallel lines!!!
Step-by-step explanation:
Answer: on khan its Distinct Parallel lines
Step-by-step explanation:
If a point (x,y) is rotated 90 degrees counterclockwise around the origin, what will the resulting coordinate be?
Answer:
Step-by-step explanation:
90 degrees clockwise will result in a (+,+) answer.
90 degrees counterclockwise will result in a (-,+) answer.
Think of your quadrants.
Quadrant 1 the answer will be (+,+)
Quadrant 2 the answer will be (-,+)
Quadrant 3 the answer will be (-,-)
Quadrant 4 the answer will be (+,-)
It all depends where you are starting, so if you have to go counter clockwise from the third quadrant, your answer will be a coordinate that is (+,-).
I wish you would have shared more information, but I hope this helps.
Answer:
(a) AB
Step-by-step explanation:
Solve for a. Show your work (ALL steps must be shown): -2(a-3)=12
Answer
a= -6
Step-by-step explanation:
-2(a-3)=12
1.) -2(a)= -2a
2) -2(-3)= 6
3) -2a+6=12
-6 -6
4) -2a/-2 = 12/-2
a = -6
What is the factor 4x^2-9
Answer:Since both terms are perfect squares, factor using the difference of squares formula,
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
a
2
-
b
2
=
(
a
+
b
)
(
a
-
b
)
where
a
=
2
x
a
=
2
x
and
b
=
3
b
=
3
.
(
2
x
+
3
)
(
2
x
−
3
)
Step-by-step explanation:
What is the volume of a cone with a hieght of 27 cm and a radius of 13 cm ? Round your answer to the nearest tenth.
Answer:
4778.36
Step-by-step explanation:
10. Find the coefficient of x term in the expansion of (2x - 5)(x2 – 3x2 + 4).
Answer:coefficient of x term is 8
Step-by-step explanation:I(2x-5)(x2-3x2+4)
(2x-5)(-2x2+4)
-4x3+8x+10x2-20
coefficient of x is 8
Find x and y!! 20 points
Answer:
x is 75 degrees and y is 43 degrees
Step-by-step explanation:
find the square root of the following number by the long division method for 9801
Answer:
99.
Step-by-step explanation:
99.0
___________
|9801.000000
9 |81
189 | 1701
| 1701
,,,,,
I REALLY NEED HELPPPPP!! Write a paragraph proof for the following conjecture:
Given: m∠ 1 + m∠ 2 = m∠ 4
Prove: m∠3 + m∠1 + m∠2 = 180
Answer:
Given: measure 1 + measure 2 = measure 4
measure 4 + measure 3 must be 180 degrees because they are supplementary
If measure 4 + measure 3 is 180, and measure 1 + measure 2 = measure 4, we can substitute measure 4 in the first equation for measure 1 + measure 2.
Therefore, we arrive at the answer measure 1 + measure 2 + measure 3 = 180.
I really hoped this helped, and if it did, please consider giving me brainliest.
The graph below shows the cost of tickets to an amusement park.
According to the graph, what would be the cost of one ticket?
Answer:
Where is the graph I can't see
A father is 30 years elder than his son. after 8 years he will be 4 times as old as his son. find their present ages
Father is 30 years older than the son.
After 8 years , he will be 4 times as old as his son.
Find:their present ages
Solution:Let the son's age be x and age of father be y years
⟹ Father's age = Son's age + 30
⟹ y = x + 30 -- equation (1)
Also,
Son's age after 8 years = (x + 8) years.
Father's age after 8 years = (y + 8) years.
According to the above condition,
⟹ y + 8 = 4(x + 8)
⟹ y + 8 = 4x + 32
Substitute the value of y from equation (1).
⟹ x + 30 + 8 - 32 = 4x
⟹ 6 = 4x - x
⟹ 6 = 3x
⟹ 6/3 = x
⟹ 2 = x
Substitute the value x in equation (1).
⟹ y = 2 + 30
⟹ y = 32
Therefore,
Son's present age = x = 2 years.
Father's present age = y = 30 years.
I hope it will help you.
Regards.
Answer:
→ 11(2 + y) + 11y
→ 22 + 11y + 11y = 154
→ 22y + 22 = 154
→ 22y = 154 - 22
→ 22y = 132
→ y = 132/22
→ y = 6
Step-by-step explanation:
What’s the answer?????
Answer:i know you it
Step-by-step explanation:
you know it
Solve the equation
x + 3x – 7 = 0
Give your answers to 2 decimal places.
Answer:
x = 1.75
Step-by-step explanation:
7 / 4 = 1.75
x + 3x = 4x
Solve for r in the proportion.
Answer:
r = 15
Step-by-step explanation:
$98.45 − $10.63 + $2.82 − $20.26
Answer:
70.38
Step-by-step exp7lanation:
$98.45 − $10.63 + $2.82 − $20.26 = 70.38
Answer:70.38
Step-by-step explanation:
Express this number in scientific notation.
0.0096
Answer:
9.6*10^negative 3
Step-by-step explanation:
Move the decimal place over 3 times to the right which gives you 9.6. Since you went to the right it would have to be negative 3. So 9.6*10^-3
f(x)+-3x+5 for f(-2)
Answer:
f(-2)=11
Step-by-step explanation:
f(-2)=-3(-2)+5
=6+5
=11
Help me ASAP WILL GIVE BRAINLIEST AND 5 STAR RATE (not a real test)
Answer:
y = -2
Step-by-step explanation:
y-intercept is the point of y at which x is zero
so it is (0,-2) when y= -2
Hope it helps!
Find the smallest value of p
such that 36p is a perfect cube.
Answer:1
Step-by-step explanation: 36(1)=36 and the square root of 36 is 6
6x6=36
Answer:
1
Step-by-step explanation:
$9 for 6 can vegetable soup (find the unit rate)
Answer:
$1.50 per can vegetable soup
Step-by-step explanation:
9 divided by 6
Answer:
$0.66666667 so about $0.67
Step-by-step explanation:
to find how much 1 can of soup is you can divide 6 by 9
6/9= 0.66666667
If 2y+2w=x, then w, in terms of x and y, is equal to
Answer:
w=-y+1/2x
Step-by-step explanation:
Its literal equations, so just solve like any other variable equation. Set your w value to the equal, and isolate the said variable
2(x - 6) + 6 = 4x - 2
What’s the value of X?
Answer:
x = -2
Step-by-step explanation:
Step 1: Write equation
2(x - 6) + 6 = 4x - 2
Step 2: Solve for x
Distribute 2: 2x - 12 + 6 = 4x - 2Combine like terms: 2x - 6 = 4x - 2Subtract 2x on both sides: -6 = 2x - 2Add 2 to both sides: -4 = 2xDivide both sides by 2: -2 = xRewrite: x = -2Step 3: Check
Plug in x to verify it's a solution.
2(-2 - 6) + 6 = 4(-2) - 2
2(-8) + 6 = -8 - 2
-16 + 6 = -10
-10 = -10
Answer:
distribute the 2. add -12+6. add 2 to both sides. decide both sides by 2. x= -2
Which table represents a function?
Answer: D
Step-by-step explanation:
For every input there can be only one output. D is the only answer that has one output per input.
is this true the square root of a positive number is always less than the half of the number itself
Step-by-step explanation:
yes ........................................ ..
Robert wants to buy a digital piano at a yard
sale. He makes a scale drawing of his living
room. He uses a scale of 1 cm in the drawing
to 6 inches in the actual room. The width of the
digital piano is 54 inches. Will it fit along the
wall next to the bookshelf? Explain your answer.
please help!!
explain good and clearly:) I’ll give you brainliest!!
*see attachment for the drawing
Answer:
No. The width is longer than the space available along the wall next to the bookshelf.
Step-by-step explanation:
The scale of the length of the space the piano is to occupy along the wall close to the bookshelf = 12 cm - 4 cm = 8 cm
Actual length of the space given a scale of 1 cm to 6 in: 6*8 = 48 in
The piano is said to have a width of 54 inches, therefore, it will not fit along the wall next to the bookshelf. The space available along the bookshelf is just only 48 inches long, which is less than the width of the piano.
Answer:
No
Step-by-step explanation:
It does not fit
Which equation represents the unit fraction shown in the diagram?
A grid model with 100 squares. 20 squares are shaded.
StartFraction 20 Over 100 EndFraction = one-fifth
StartFraction 20 Over 100 EndFraction = two-fifths
StartFraction 20 Over 100 EndFraction = one-half
StartFraction 20 Over 100 EndFraction = StartFraction 1 Over 10 EndFraction
it A
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
I took the test.
Nicole bought 6 tickets to an indoor water park. She paid a 6% service charge for buying them online. Her total cost was
$165.36
a What equation can be used to model the total cost of the tickets?
6. What was the price of each ticket?
C. How much did Nicole pay in service charges?
Answer:
Step-by-step explanation:
Let each ticket cost x
Answer for Part A
6x + 6% (6x) = 165.36 dollars.
Answer for Part B
6x + 6/100 * 6x = 165.36
6x + 36/100 x = 165.36
6x + 0.36 x = 165.36
6.36x = 165.36
x = 165.36/6.36
x = 26 dollars for each ticket.
Part C
Service charge = 165.36 - 6*26
Service charge = 165.36 - 156
Service charge = 9.36
Find the next two numbers in the pattern.
−12,60,−300,1500
the pattern is
multiplied by -5
so...
1500 *-5 = -7500
-7500*-5 = 37500
hope this helps
Answer:
-7500,37500 are next two numbers in the pattern