Answers
[tex]\\ \sf\longmapsto \left[{3a+b\atop a-b}\:\:\:{3c-d\atop a+b+d}\right]=\left[{3\atop 5}\:\:\;{6\atop 2d-1}\right][/tex]
Now constructing equations
[tex]\\ \sf\longmapsto 3a+b=3\dots(1)[/tex]
[tex]\\ \sf\longmapsto a-b=5\dots(2)[/tex]
[tex]\\ \sf\longmapsto 3c-d=6\dots(3)[/tex]
[tex]\\ \sf\longmapsto a+b+d=2d-1\dots(4)[/tex]
Adding eq(1) and (2)
[tex]\\ \sf\longmapsto 4a=8[/tex]
[tex]\\ \sf\longmapsto a=\dfrac{8}{4}[/tex]
[tex]\\ \bf\longmapsto a=2[/tex]
Put the value in eq(2)
[tex]\\ \sf\longmapsto a-b=5[/tex]
[tex]\\ \sf\longmapsto b=a-5[/tex]
[tex]\\ \sf\longmapsto b=2-5[/tex]
[tex]\\ \bf\longmapsto b=-3[/tex]
put the values in eq(4)
[tex]\\ \sf\longmapsto a+b+d=2d-1[/tex]
[tex]\\ \sf\longmapsto 2+(-3)+d=2d-1[/tex]
[tex]\\ \sf\longmapsto d-1=2d-1[/tex]
[tex]\\ \sf\longmapsto d-2d=-1+1[/tex]
[tex]\\ \sf\longmapsto -d=0[/tex]
[tex]\\ \bf\longmapsto d=0[/tex]
Put the value in eq(3)
[tex]\\ \sf\longmapsto 3c-d=6[/tex]
[tex]\\ \sf\longmapsto 3c-0=6[/tex]
[tex]\\ \sf\longmapsto 3c=6+0[/tex]
[tex]\\ \sf\longmapsto 3c=6[/tex]
[tex]\\ \sf\longmapsto c=\dfrac{6}{3}[/tex]
[tex]\\ \sf\longmapsto c=2[/tex]
Related Questions
simplify [tex]x^{2} +10x+9[/tex]
Answers
Answer:
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} x^2+10x+9=0 \\\\ x^2+\underbrace{x+9x}_{10x}+9=0 \\\\x^2+x+\underline9x+\underline9=0 \\\\x(x+1)+9(x+1)=(x+9)(x+1)[/tex]
Name all sets to which each value belongs
Answers
[tex]\\ \sf\longmapsto -\sqrt{64}[/tex]
[tex]\\ \sf\longmapsto -\sqrt{8\times 8}[/tex]
[tex]\\ \sf\longmapsto -\sqrt{8^2}[/tex]
[tex]\\ \sf\longmapsto 8i[/tex]
It belongs to set of complex numbers
What is the answer to this geometry problem?
Answers
Answer:
[tex]x=29[/tex]Step-by-step explanation:
Here, MN= NP
→ [tex]128=2x+70[/tex]
→ [tex]2x=128-70[/tex]
Subtract :-
→ [tex]2x=58[/tex]
Divide both sides by 2:-
→ [tex]\frac{2x}{2}=\frac{58}{2}[/tex]
→ [tex]x=29[/tex]
OAmalOHopeO
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!! EASY IM JUST NOT SMART
Answers
Answer:
a7 = 55 + (7-1) 10
Step-by-step explanation:
See,
It's given that it will take 7 hours for Jiya to move.
$55 are charged for 1 (first) hour. Now, 6 hours are left (unpaid). $10 per every hour after that.
Among the total 7 hours, the payment for first hour is done ($55) so we are left with the other 6 hours multiplied by 10.
Therefore, the correct option is:
a7 = 55 + (7-1) 10
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNKW THE ANSWER!!
Answers
Answer: will be D
Step-by-step explanation:
factor the quadratic expression x2 +16x+48
Answers
Answer:
(x+4)(x+12)
Step-by-step explanation:
Answer:
(x +4) (x+12)
Step-by-step explanation:
product 48
Sum 16 ( 12 and 4)
(x2 +12x) +(4x +48)
=(x+4) (x+12)
root 6 x root 8 is equal to
Answers
Answer:
[tex]4\sqrt{3}[/tex]
Step-by-step explanation:
[tex]4\sqrt{3}[/tex] = [tex]\sqrt{6}[/tex] x [tex]\sqrt{8}[/tex]
Answer:
4 root 3 is the answer
Step-by-step explanation:
hope its help
help..lol i dont need help just to lazy
Answers
Answer:
C. -2(-2)
Step-by-step explanation:
A. -2(-1/5) = 1
B. -2(1/2)=1
C. -2(-2)=4
D. -2(2)=-4
Four friends equally divided a whole pizza for lunch. Binli ate 1 of his 3
share and took the rest of his share home. What fraction of the whole pizza did he eat for lunch?
Please help! Will give brainiest!!!
Answers
Answer:
He ate 1/12 of the pizza
Step-by-step explanation:
Divide the pizza by 4 to get the share each friend got
1/4
Then Binli ate 1/3 of his share
1/4 * 1/3 = 1/12
He ate 1/12 of the pizza
1. A rectangular pyramid is intersected by a plane to create the frustum shown. If the height of the original pyramid is 14 m, what is the volume of the frustum?
10 m
4 m
8 m
6 m
12m
Answers
Volume of pyramid = (area of base x height)/3
(12 x 6 x 14)/3 - (4 x 10 x 6)/3 = 256 m^3
The diagram is completely wrong so this problem is actually impossible to solve!
If you slice horizontally across a rectangular pyramid the ratios of the edges will remain constant.
The two rectangles are not the same shape! 12:6 is not the same ratio as 10:4
If the original pyramid in this question was sliced in half the top rectangle of the frustum would be 6 x 3.
In this diagram the height was reduced from 14m to 8m so the top 6m was removed.
If the base was 12 x 6 the top rectangle should be 6/14 smaller = 5.14m by 2.57m (not 10 x 4)
If you are brave you could point this out to your teacher
The volume of the frustum that is shown in the diagram is: C. 256 m³.
What is the Volume of Frustum?The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid.
Find the volume of the original (bigger) rectangular pyramid:
Volume of rectangular pyramid = 1/3(lwh) = 1/3(12 × 6 × 14)
Volume of rectangular pyramid = 336 m³
Find the volume of the smaller (the top that was removed) rectangular pyramid:
Volume of rectangular pyramid = 1/3(lwh) = 1/3(10 × 4 × 6)
Volume of rectangular pyramid = 80 m³
The volume of frustum = Volume of the bigger rectangular pyramid - Volume of smaller rectangular pyramid = 336 - 80 = 256 m³.
Thus, the volume of the frustum that is shown in the diagram is: C. 256 m³.
Learn more about volume of frustum on:
https://brainly.com/question/1641223
What are the end behaviors of f(x) = -2(x-17)^4?
O A. Both ends go up.
O B. The left end goes down; the right end goes up.
C. The left end goes up; the right end goes down.
о
D. Both ends go down.
Answers
Answer:
D. Both ends go down.
Step-by-step explanation:
f(x) = -2(x-17)^4
As x goes to -∞
f(-∞) = -2(-∞)^4 = -2 (∞) = -∞
As x goes to ∞
f(∞) = -2(∞)^4 = -2 (∞) = -∞
Both ends go to -∞, or go down
A graphed system of linear inequalities is shown below.
image 28bfc30ab63a4ce9803aa27b02433fa0
Which of the following ordered pairs is a solution to the system of inequalities? Select ALL that apply.
A
(−4,1)
B
(−3,−4)
C
(0,−3)
D
(0,1)
E
(5,−2)
Answers
Answer:
C
(0,−3)
E
(5,−2)
Step-by-step explanation:
We need to find a point in the shaded region
A
(−4,1)
x = -4 is not in the shaded region
B
(−3,−4)
x = -3 is not in the shaded region
C
(0,−3)
Since the bottom line is solid, this is in the shaded region
D
(0,1)
Since the line is dotted, this is not in the shaded region
E
(5,−2)
This point is in the shaded region
Answer:
Step-by-step explanation:
its right
What's a very complex equation that equals 3
Answers
The opposite angles of a parallelogram are (3x + 5)° and (61 – x)°. Find the measure of four angles.
Answers
Answer:
47°;47°;113°;113°
Step-by-step explanation:
3x+5=61-x
4x=56
X=14
PLEASE HELPPP I'LL GIVE OUT BRAINLIEST !!!!!
Does (3, 3) make the equation y = 5x true?
Answers
Answer:
y = 5x
In the coordinate (3, 3), the first number is the x value and the second number is the y value.
So, does 3 = 5(3).
The answer is no, so this coordinate does not make the equation true.
Let me know if this helps!
Answer: No, the given point does not make the equation true.
===========================================================
Explanation:
There are three different ways to approach this.
One way is to plug x = 3 into the equation to find that
y = 5x
y = 5*3
y = 15
But that doesn't match up with y = 3 from the point (3,3). So we see that (3,3) is not a solution to y = 5x.
------
Or another method we could do is plug x = 3 and y = 3 to find a contradiction
y = 5x
3 = 5*3
3 = 15
The contradiction being that 3 on the left side doesn't match with 15 on the right side. The false equation at the end means y = 5x is false for (x,y) = (3,3), and therefore this point is not a solution to y = 5x.
------
The third method involves graphing the line y = 5x. You can see that (3,3) is not on the line, which visually confirms the results of the previous two sections. So for a point to be a solution, it must be on the line.
Find the area and perimeter of the shaded region below. Give your answer as a completely simplified exact value in terms of pi.
Answers
Answer:
23.73pi (rounded to the nearest hundredth)
Step-by-step explanation:
You can find the radius of the half-circle by looking at the triangle. You then calculate the area of a circle with that radius and divide the area by 2. Area of full circle=113.1
113.1/2=56.55. You must now calculate the area of the triangle, (6*6)/2. This gives you 18. Add your areas together, 56.55+18=74.55. Now divide your answer by pi. Then you put it as an equation of 74.55/pi = 23.73pi.
True or false: f(x) is a function
Answers
False because 5 is associated with two values.
To be a function, the domain can only map to one range value, but in this case, 5 is mapped to two values, 1 and 3.
6 times a number increased by 11 is equal to 17. What is the number?
Answers
Let the no be x
ATQ
[tex]\\ \sf\longmapsto 6x+11=17[/tex]
[tex]\\ \sf\longmapsto 6x=17-11[/tex]
[tex]\\ \sf\longmapsto 6x=6[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{6}{6}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Answer:
1
Step-by-step explanation:
let the number be x
and solve it
Please I need help will get max points as many as
Answers
Answer:
ur answer is 199 thank me later
Answer:
194 ft²
Step-by-step explanation:
Area of rectangle R1 = length * width
= 8 * 5
= 40 square feet
Area of rectangle R2 = 14 * 11
= 154 square feet
Area of the figure = 40 + 154 = 194 ft²
Fastest answer will be declared the brainliest
Answers
Answer:
All whole numbers are rational numbers.
False
All integers are whole numbers.
True
There are integers that are not rational numbers.
True
There are whole numbers that are not integers.
True.
The entire group your sample is attempting to describe is known as the ____________.
A. population
B. subgroup
C. census
D. organization
Answers
Answer:
Population
Step-by-step explanation:
A.
A population is the entire group that is being studied while a sample is a subset of the population that is being studied.
What is the minimum Valium of this function? F(x)=150•sin(3•x)
A=150
B=-150
C=200
D=-200
Answers
Answer:
B -150.
Step-by-step explanation:
The minimum value of a sine is -1
So the answer is 15 * - 1 = -150.
Answer:
-150
Step-by-step explanation:
F(x)=150•sin(3•x)
The minimum that sin takes is negative 1
so 150(-1) = -150
The minimum of f(x) is -150
If the ratio of raisins to bran flakes in a box of raisin bran flakes cereal is 3:27, how many raisins are there in a box that contains 3,000 raisins and brand flakes?
Answers
Answer:
300 raisins
Step-by-step explanation:
sum the parts of the ratio, 3 + 27 = 30 parts
Divide the total by 30 for the value of one part of the ratio.
3000 ÷ 30 = 100 ← value of 1 part of the ratio , then
3 parts = 3 × 100 = 300 ← number of raisins in a box
What is the domain of G
Answers
Answer:
D: {-6, 6}
Step-by-step explanation:
The domain are all the possible values for x. For this graph in the x-position, it starts from -6 to +6. Therefore, the domain will be {-6,6}.
Answer:
[tex]-6\leq x\leq 6[/tex]
[tex]x[/tex] ∈ [tex][-6, 6][/tex]
Step-by-step explanation:
The domain is the set of all numbers for which a function is defined. As one can see on the given graph, the function spans between the numbers (-6) and (6). Therefore, the function is defined between the numbers (-6) and (6). The closed dots on either end of the function signify that the function includes these values. Thus, the domain of the function is as follows:
([tex]-6\leq x\leq 6[/tex])
In set notation,
([tex]x[/tex] ∈ [tex][-6, 6][/tex])
Please don’t troll. I need help on this
Answers
Answer:
Sally is currently 4 years old.
Step-by-step explanation:
Kaden is 18 years older than Sally now. In 5 years, Kaden will be 3 times as old as Sally. How old is Sally now?
Let Kaden's current age be [tex]k[/tex] and Sally's current age be [tex]s[/tex]. We can write the following algebraic equation using the fact that Kaden is currently 18 years older than Sally:
[tex]k=s+18[/tex]
Next, we will use the fact that in 5 years, Kaden will be 3 times as old as Sally. If Kaden and Sally's current ages are [tex]k[/tex] and [tex]s[/tex] respectively, then their ages in 5 years will be [tex]k+5[/tex] and [tex]s+5[/tex] respectively. Therefore, we have:
[tex]k+5=3(s+5)[/tex]
We have two equations with two variables. To solve for either variable, we need to create an equation with only one variable. Therefore, let's substitute the first equation into the second:
[tex](s+18)+5=3(s+5)[/tex]
Distribute and combine like terms:
[tex]s+18+5=3s+15,\\s+23=3s+15[/tex]
Subtract [tex]s[/tex] from both sides, then subtract 15 from both sides:
[tex]8=2s[/tex]
Divide both sides by 2:
[tex]s=\frac{8}{2}=\boxed{4}[/tex]
Therefore, Sally is currently 4 years old.
Answer:
Sally is 4 years old now.
Step-by-step explanation:
Let Sally's age = x
Kaden's age = x + 18
In 5 years, they are both 5 years older than now.
Sally will be x + 5
Kaden will be x + 18 + 5 = x + 23
"In 5 years, Kaden will be 3 times as old as Sally."
x + 23 = 3(x + 5)
x + 23 = 3x + 15
-2x = -8
x = 4
Answer: Sally is 4 years old now.
passes through (−3, 7) and is parallel to y = 4x − 1.
Answers
Answer:
Equation of the line is y = 4x + 19
Step-by-step explanation:
slope, m = 4
[tex]y = mx + c[/tex]
consider (-3, 7):
[tex]7 = (4 \times - 3) + c \\ 7 = - 12 + c \\ c = 19[/tex]
equation:
[tex]y = 4x + 19[/tex]
Answer:
y = 4x + 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x - 1 ← is in slope- intercept form
with slope m = 4
Parallel lines have equal slopes, then
y = 4x + c ← is the partial equation
To find c substitute (- 3, 7) into the partial equation
7 = - 12 + c ⇒ c = 7 + 12 = 19
y = 4x + 19 ← equation of parallel line
(-8)^-2 / 3^-4 simplify the expression. Write your answer using only positiv exponents.
Answers
Answer:
3^4 / 8^2 or 81/64
Step-by-step explanation:
(-8)^-2 / 3^-4 =
= 3^4 / (-8)^2
= 3^4 / 8^2
= 81/64
The perimeter of a rectangle is 102 inches. The length is 5 inches greater than the width.
Answers
Answer:
w = 23
l = 28
Step-by-step explanation:
w = width
l = w+5
P = 2 (l+w)
102 = 2( w+5+w)
102 = 2(2w+5)
Divide each side by 2
51 = 2w+5
Subtract 5
46 = 2w
Divide by 2
23 = w
The width is 23 and the length is 23+5 = 28
Answer:
Length=28
Width=23
Step-by-step explanation:
All I did was basically trial and error, to be honest.
(b) The force, F, between two objects is inversely proportional to the square of the distance, d, between
them.
The distance between two objects is increased by 20%.
Calculate the percentage reduction in the force between the objects.
Answers
Answer:
F is reduced by 31%
Step-by-step explanation:
F = 1/(d²)
now, we increase the distance by 20% (multiply by 1.2).
F new = 1/(1.2×d)² = 1/(1.44×d²) = (1/1.44) × (1/(d²)) =
= 1/1.44 × old F = 0.69 × old F
100 - 69 = 31%
An angle measures 75.2° more than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
x = complement
x + 5.2 = first angle (5.2 more than complement)
measure of two complementary angles add up to 90.
x + x+ 5.2 = 90
2x = 84.8
x = 42.4
other angle = x + 5.2 = 42.4 + 5.2 = 47.6
hope it's help you.....!!!!!
plz mark as brain list...!!!!
plz follow me #Rishu....!!!!!
Step-by-step explanation:
Hope it will help you .
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