Answer:
The value of a is 6 and the value of b is -12
Step-by-step explanation:
Given identity is:
a(4x – 10) = 24x + 5b
We can use the comparison of coefficients method to find the values of a and b
So,
By simplifying the left hand side of identity
[tex]4ax-10a = 24x+5b\\4ax+(-10)a = 24x+5b[/tex]
Comparing the co-efficient of x
[tex]4a = 24\\a = \frac{24}{4}\\a = 6[/tex]
Comparing the constant terms
[tex]-10a = 5b[/tex]
Putting the value of a
[tex]-10(6) = 5b\\-60 = 5b\\b = \frac{-60}{5}\\b = -12[/tex]
Hence,
The value of a is 6 and the value of b is -12
What justification is used from line 2 to line 3?
Line 1: 2 open x minus 5 close less than 7 x plus 1
Line 2: 2 x minus 10 less than 7 x plus 1
Line 3: negative 10 less than 5 x plus 1
Line 4: minus 11 less than 5 x
Line 5: fraction minus 11 over, 5, end fraction, less than x
Line 6: x greater than, fraction minus 11 over, 5, end fraction
A: Distributive property
B: Subtraction property of inequality
C: Division property of inequality
D: Reflexive axiom of inequality
Answer:
subtraction property of equality
Step-by-step explanation:
From line 2 to line 3, they subtracted 2 from both sides.
distance covered by minute hand in 1 hour is 94. 20 cm find the circumference of the circle whose radius is 12 CM
Answer:
[tex]\large\boxed{75.4cm(1 d.p)}[/tex]
Step-by-step explanation:
Important Information:
Circumference of a cirlce= [tex]\pi*diameter[/tex]
Diameter= [tex]2*radius[/tex]
Method:
The first step in working out the circumference of this cirlce is to work out the diameter. You can work this out by multiplying the radius of 12 by 2, this gives you 24cm. This is because the radius is half of the diameter.
The next step is to work out the circumference. You can do this by multiplying pi by the diameter of 24, this gives you [tex]27\pi[/tex] or 75.4cm (1 d.p).
Step by Step:
1) Multiply 12 by 2.
[tex]12*2=24cm[/tex]
2) Multiply pi by 24.
[tex]\pi*24=75.4cm(1 d.p)[/tex]
HELPPP PLS
James is tossing a counting cube numbered 1 to 6 to see how many times he gets a 3 or a 6. If he tosses the cube 36 times, predict how many times he will roll a 3 ora 6.
A. 6 times
B. 12 times
C. 9 times
D. 18 times
A clothing store has a special on socks. They are selling 5 pairs
of socks for $11.25. Find the price for 12 pairs of socks.
Area of triangle- please help :)
Answer:
[tex]\approx 45.1\:\mathrm{w/\: some \: MOE}[/tex]
Step-by-step explanation:
The area of [tex]ABCD[/tex] is comprised of two triangles, so we can find the area of both triangles and add them to get the total area of
Since the sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex], we have:
[tex]\angle C=180-44-38=\fbox{$98^{\circ}$}[/tex].
The Law of Sines is given as:
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] for any triangle.
Therefore, we have the proportion:
[tex]\frac{\sin 98^{\circ}}{10}=\frac{\sin 44^{\circ}}{BC},\\BC=\frac{10\cdot \sin 44^{\circ}}{\sin 98^{\circ}},\\BC\approx 7.01[/tex].
Now that we have two sides of a triangle and the angle between them, we can use [tex][\triangle]=\frac{1}{2}ab\sin C[/tex] to find the area of [tex]\triangle CBD[/tex]:
[tex][CBD]=\frac{1}{2}\cdot 10\cdot 7.01 \cdot \sin 38^{\circ},\\\\\left [CBD]\right\approx 21.58[/tex].
Since [tex]\triangle ABD[/tex] is a right triangle, we can use basic trig rules for a right triangle to solve for the sides:
[tex]\sin 55^{\circ}=\frac{AB}{10},\\AB=10\sin 55^{\circ},\\AB\approx 8.19[/tex],
[tex]\sin 35^{\circ}=\frac{AD}{10},\\AD=10\sin 35^{\circ},\\AD\approx 5.74[/tex].
Therefore, the area of [tex]\triangle ABD[/tex] is:
[tex]\frac{1}{2}\cdot 8.19\cdot 5.74\approx 23.49[/tex].
The area of [tex]ABCD[/tex] is then
[tex]21.58+23.49=45.07=\fbox{$45.1$}[/tex].
[tex]\bigstar[/tex] Note that intermediate results were rounded during this calculation. Therefore, there is a small margin of error when rounding to final answer to one decimal place. I recommend plugging in values for yourself using all equations I wrote above, then rounding only your final answer to one decimal place as requested by the problem.
Select other ways to express 2:12
Answer:
12 after 2
Step-by-step explanation:
I got this correct on ed2020
Answer:
ratio
Step-by-step explanation:
HELP!! GEOMETRY!! WILL MARK BRAINLIEST!!! NEED WORK SHOWN IF POSSIBLE
Answer:
Step-by-step explanation:
1
Graph the line with slope
passing through the point (-1, 2).
1.1
Х
$
?
2
-10
-8
-6
-
2
2
-6
-8
-107
Answer:
...
Step-by-step explanation:
Evaluate: p³ at p = 2
Answer:3 *3* 3
Step-by-step explanation:
Because your dealing with powers
P=3
(need help ASAP!) A moving truck has 10 feet ramp that is used to put furniture in the truck. The ramp touches the ground 8 feet from the back of the truck. How high off the ground is the ramp meet the back of the moving truck?
5. 0384748939
Step-by-step explanation:
let's take the ramp, if u draw a diagram 8, 10 and the unknown value makes a right angled triangle
So according to pythogaraos(dnot care the spelling) theorem a square + b square = c square
Now 10 is the hypothenuse, so let's rearrange them as c square - b square = a square
now apply the values, 10 square - 8 square = X square
100 - 64 = X square
36 = X square
now root of 32 is-------
I MESSED UP I GUESS
Someone please help!!
Answer:
25 degree
Step-by-step explanation:
The sum of angles is 180
so to find angle b, subtract 155 from 180
180 - 155 = 25
b = 25 degree
Solve 3x-9 ≥ 27-6x
Please help would be greatly appreciated!!
which ordered pair is a solution to the equation y=-2/5x+9
A. (-3/2, 10)
B. (0, 10)
C. (-1, 10 2/3)
D. (2/3, 10)
Answer:
c
Step-by-step explanation:
i am not sure i but i think it is
Express 18 as a fraction of 27.
Give your answer in its simplest form
Answer:
Thus, 2/3 is the simplified fraction for 18/27 by using the GCD or HCF method. Thus, 2/3 is the simplified fraction for 18/27 by using the prime factorization method
Step-by-step explanation:
hope l am not late!
Someone plz help me fast plz
Answer:
Yes, it said of a mile and so that states since there are two numbers of a mile...
Step-by-step explanation:
in a highschool, 2/5 of the boys make up 250 students. how many boys are there in the high school?
Answer:100 boys
Step-by-step explanation:
250 / 5 is 50.
50 x 2 is 100.
Find the value of x for the equation below:
-3x + 10 = 5x - 8
Answer:
x = 2.25
Step-by-step explanation:
-3x + 10 = 5x - 8
add 3 to 5x, add 8 to 10
18 = 8x
divide 18 by 8
x = 18/8 = 2.25
If 18 more than 2 times a number is -10, what is the number?
A.-14
B.-4
C.4
D.14
Answer:
A. -14
Step-by-step explanation:
Mary is planning to provide online math and french language tutoring sessions. The matt sessions will be 45 minutes long, and the french session will be 30 minutes long hours per week and does not want to provide more than 30 french sessions in any one week. let m represents the constraints of the given situation?
Answer:
the answer is D
f ≥0
m≥0
f≤30
45m+30f≤30
Step-by-step explanation:
hope it help luvs
The constraints that represent the given situation in the question are; Option D;
f ≥ 0
m ≥ 0
f ≤ 30
45m + 30f ≤ 30
InequalitiesWe are told that;
Maths sessions (m) are 45 minutes long per week. French sessions (f) are 30 minutes long per weekThus; we can say that; m ≥ 0 and f ≥ 0
We are told that Mary doesn't want to deliver more than 30 French sessions in one week. Thus;
f ≤ 30
Combining all the inequalities, we can say that;
45m + 30f ≤ 30
Read more about Inequalities at; https://brainly.com/question/25275758
Plz help me. I can’t figure this out
Answer:
D is false
Step-by-step explanation:
the graph does not include the point (4,3)
Answer:
I'm pretty sure the answer is c) the graph crosses the y-axis at (0, 4).
Solve 11 = 6 + a help pls
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Subtract six from both sides
5=a
Write an equation of a line in slope-intercept form that passes through (-3,5) and is parallel to y = -6x +1.
Then find its x- and y-intercepts.
Answer:
a) The equation of the Parallel line to the given straight line is
6 x + y + 13 =0
b) Slope - intercept form
y = - 6 x - 13
c) The intercept - form
[tex]\frac{x}{\frac{-13}{6} } + \frac{y}{-13} = 1[/tex]
x - intercept = [tex]\frac{-13}{6}[/tex]
y - intercept = - 13
Step-by-step explanation:
Step(i):-
Given the equation of the straight line
y = -6x +1
6 x + y - 1 = 0
The equation of the Parallel line to the given straight line is
6x + y + k=0 and it passes through the point (-3, 5 )
⇒ 6 (-3 ) + 5 + k =0
⇒ - 18 + 5 + k=0
⇒ -13 + k = 0
⇒ k = 13
The equation of the Parallel line to the given straight line is
6 x + y + 13 =0
Step(ii):-
Slope - intercept form
y = m x + C
y = - 6 x - 13
Step(iii):-
Intercept - form
6 x + y + 13 =0
6 x + y = - 13
[tex]\frac{6x + y}{-13} = \frac{-13}{-13}[/tex]
[tex]\frac{6x}{-13} + \frac{y}{-13} = 1[/tex]
[tex]\frac{x}{\frac{-13}{6} } + \frac{y}{-13} = 1[/tex]
The intercept - form
[tex]\frac{x}{\frac{-13}{6} } + \frac{y}{-13} = 1[/tex]
x - intercept = [tex]\frac{-13}{6}[/tex]
y - intercept = - 13
Find the slope of the line
Answer:
-2
Step-by-step explanation:
[tex]y = - 2x[/tex]
the line is going down meaning its a negative and to find the slope do rise over run
i need help with this questions
Answer:
1st question
63.63
2nd question
28.3
3rd question
25.1
4th question
70.4
5th question
1404.93
Step-by-step explanation:
1.
area= π×r^2
3.142×4.5squared
radius is 4.5
4.5 squared is 20.25
20.25×3.142 is 63.6255
2.d.p is 63.63
2.
circumference is pi times diameter
3.142×9 is 28.278
1.d.p is 28.3
3.
4×2=8 (diameter)
circumference is pi times diameter
3.142×8=25.136
1.d.p=25.1
4.
11.2×2=22.4(diameter)
circumference is pi times diameter
3.142×22.4=70.3808
1.d.p=70.4
5.
area is pi times radius squared
radius=11.2
11.2 squared is 125.44
3.142×125.44=1404.928
2.d.p=1404.93
hope this helps!
in the linear equation y= 3/4x + 2 what does 2 represent?
Answer: The y intercept.
Step-by-step explanation:
Using the form y = mx +b, m represents the slope and b is the y intercept. In the equation y = 3/4x + 2, the slope (m) = 3/4 and the y intercept (b) = 2
candidate carson received 2310 votes 55% of the total how many total votes were cast
Answer:3x-x+2=4
Step-by-step explanation: is what i got maybe wrong
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Order the polynomial -x 4 y 2 + 7x 3 y 3 - 3xy 5 + 2x 2 y 4 in descending powers of x.
Answer:
See under for the sequence
Step-by-step explanation:
The term with -X⁴ comes first because 4 is the highest power of x.
Then comes 7x³y³ because 3 is the second highest power
Then 2x²y⁴ because 2 comes next
Then -3xy⁵ because x is raised to 1 power which is the lowest
need the answer asap!!!
Exeter points!!!
Answer:
maybe 149 cell phone chargers or 219 cell phone chargers
Step-by-step explanation:
Find an example of two irrational numbers a and b for which a≠b and a/b is rational.
Answer:
Yes.
Here’s an easy (and cheap) one: [tex]\\\\\sqrt 2\\-\sqrt 2[/tex]
In fact, I can find a formula for them.
The two numbers will always be of the form:
[tex]x_1 =a+b\sqrt c \\x_2 =a-b\sqrt c \\[/tex]
A and B are rational
C is rational and not a perfect square of a rational number
These are irrational because the square root will not resolve to a rational number.
12=(+√)(−√)=2−(√)2=2−2 . Looks rational to me.
1+2=+√+−√=2 , which also is rational.
Hope this helped!
Simplify the expression:
7(1 + 2g) =