Answers
Answer:
see explanation
Step-by-step explanation:
4G - 6H
= 4[tex]\left[\begin{array}{ccc}1&-7\\7&6\\\end{array}\right][/tex] - 6[tex]\left[\begin{array}{ccc}1&1\\-3&7\\\end{array}\right][/tex] ← multiply each component by the scalar
= [tex]\left[\begin{array}{ccc}4&-28\\28&24\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}6&6\\-18&42\\\end{array}\right][/tex] ← subtract corresponding components
= [tex]\left[\begin{array}{ccc}4-6&-28-6\\28-(-18)&24-42\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-2&-34\\46&-18\\\end{array}\right][/tex]
Related Questions
It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box
which holds 15 cups of sugar. Double the dimensions of the box. Approximately how
much paint would the new box need? How much sugar would it hold?
Answers
Answer:
120 cups of sugar
8 ounces of paint
Step-by-step explanation:
Given that :
To cover all sides of the rectangular prism with paint, that is the surface area.
The amount of sugar held by the prism is function of its volume.
Hence, doubling the dimension :
The surface area, in unit² is a obtained by
Initial paint required * 2^2
2 * 2² = 2 * 4 = 8 ounces of paint.
For sugar :
It has to do with volume, unit³
Initial * double³
15 * 2³
15 * (8) = 120 cups of sugar
A lightbulb manufacturer found that
out of 200 lightbulbs, 15 were defective.
How many lightbulbs should the
manufacturer expect to be defective out of
2,400 lightbulbs?
Answers
Answer:
D, 180.
Step-by-step explanation:
2400 divided by 200 is 12, which means 2400 is 12 times 200
Next, times 15 by 12 which is 180.
PLZ PLZ PLZ ANSWER!!!!!!
Answers
Answer: it would be B "4.05"
Step-by-step explanation:
2.5 x 1.8 x 0.9 = 4.05
Answer:
4.05 m^3
Step-by-step explanation:
Calculate volume with this formula:
LxWxH (length x width x height)
0.9 x 2.5 x 1.8 = 4.05
Don't forget the unit! It's m^3 or m³ since we are finding the volume of a three-dimensional figure.
So our answer is 4.05 m^3.
Katie takes an Uber to work. She pays $1.50 per mile and she tips
the driver $10.
Write an equation to show how many miles she can go for $34
Answers
Answer:
1.50x+10=34
Step-by-step explanation:
30 times 40 equals whatttt
Answers
Answer:
1200 is ur wsener
Step-by-step explanation:
Answer:
1,200 is the result to the problem
Does anyone know what the answer to this is???
Answers
Answer:
7.4% increase (approximated)
Step-by-step explanation:
✔️Dimension of the original rectangle:
Length = 30 cm
Width = 20 cm
Perimeter = 2(L + W) = 2(20 + 30) = 2(50) = 100 cm
✔️Dimension of new rectangle:
Length is increased by 10% = 10/100 × 30cm = 3 cm
New length = 30 + 3 = 33 cm
Width is increased by 5% = 5/100 × 20cm = 1 cm
New width = 20 + 1 = 21 cm
✔️Perimeter of New rectangle = 2(L + W) = 2(33 + 21) = 2(54) = 108 cm
✔️Percentage increase in the perimeter of the rectangle = (perimeter of New rectangle - perimeter of original rectangle)/perimeter of original rectangle × 100
= (108 - 100)/108 × 100
= 8/108 × 100
≈ 7.4% increase
Death Star shoots at Earth! Earth explodes! No survivors!
Answers
Answer:
WHY?
Step-by-step explanation:
i need 1 MORE BRAINLIEST!!!
the radius of a sphere is 21cm find its area and volume
Answers
Answer:
5544cm (squared)
Step-by-step explanation:
Surface area of a sphere=4πr (squared) =4× 7/ 22 ×21×21cm (squared)
Surface area of the sphere=5544cm
.
Answer:
Area = 5164.8 cm; volume = 38792.4 centimeters
Step-by-step explanation:
Since the radius is known, we can substitute it for r in the first formula.
A = 4πr²
A = 4π(21)²
A = 4π(411)
A = 12.566370614359 * 411
A = 5164.8
V = 4/3πr^3
V = 4/3π21^3
V = 4/3π(9261)
V = 4.1887902047863 * 9261
V - 38792.4
identify the zeros of the function
5
1 and 2
1 and -2
-1 and 2
Answers
Answer:
my answer is the first one..............
What are the coordinates of each point after quadrilateral ABCD is rotated 270° about the origin? Select numbers from the pull-down menus to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answers
Answer:
140
Step-by-step explanation:
please help and explain
Answers
Answer:
Step-by-step explanation:
Fraction of surveyed women who voted for football = 25/72
Percentage = [tex]\frac{25}{72}*100 = \frac{25}{18}*25[/tex]
[tex]=\frac{625}{18} = 34.72[/tex]
= 35%
What is the sum of the polynomials given?
Answers
4a^4 - a + 3 + 7a^4 - 12a + 4
combine like terms:
11a^4 - 13a +7
hope this helps!
Graphing Quadratic Functions (help please )
Find the vertex and zeros of each graph, then make a graph of each function. Label the vertex and zeros of each graph.
1. f(x) = - 2(x - 4) (x + 6). 4. Y = -(x - 4)^2 + 11
Vertex = _______
Zeros = _______
Vertex = _______
Zeros = _______
2. Y= 3(x + 1)(x + 6)
Vertex =_______
Zeros =_______
3. Y= -2(x - 4) (x + 6)
Vertex =______
Zeros =_______
Answers
Answer:
#1
Zeroes: x = 4, x = -6
The vertex is at ( -1 , 50 )
Step-by-step explanation:
I'll do the first one, you try the rest
All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)
f(x) = -2(x-4)(x+6)
The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6
Zeroes: x = 4, x = -6
The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)
First expand f(x)
-2(x^2 + 2x - 24) => -2x^2 - 4x + 48
b = -4 and a = -2
-(-4)/2(-2) = 4/-4 = -1
the x-value of the vertex is -1
Now substitute -1 as x to find the y-value of the vertex
-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex
The vertex is at ( -1 , 50 )
Justin plans to spend $35 on sports cards. Regular cards cost $4.50 per pack and foil cards cost $6.00 per pack Which inequality shows the relationship between the number of packs of regular cards (r) and the number of packs of foll cards (f) Justin can afford to buy?
Answers
Answer:
4.50r + 6.00f ≤ 35.00
How do you write 1/2 as a percentage?
Answers
Answer:
lol 50%
Step-by-step explanation:
hope this helps.
Answer:
50%
Step-by-step explanation:
=™=®=™™÷™=™{ k jvj cccchch
The green triangle is a dilation of the red triangle with a scale factor of s=1/3 and the center of dilation is at the point (4,2)
What are the coordinates of Point C'? C'(__,__)
What are the coordinates of Point A? A(___,____)
Answers
Given:
The scale factor is [tex]s=\dfrac{1}{3}[/tex] and the center of dilation is at the point (4,2).
Red is original figure and green is dilated figure.
To find:
The coordinates of point C' and point A.
Solution:
Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
[tex](x,y)\to (k(x-a)+a,k(y-b)+b)[/tex]
According to the given information, the scale factor is [tex]\dfrac{1}{3}[/tex] and the center of dilation is at (4,2).
[tex](x,y)\to (\dfrac{1}{3}(x-4)+4,\dfrac{1}{3}(y-2)+2)[/tex] ...(i)
Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-2-4)+4,\dfrac{1}{3}(11-2)+2)[/tex]
[tex]C(-2,11)\to C'(\dfrac{1}{3}(-6)+4,\dfrac{1}{3}(9)+2)[/tex]
[tex]C(-2,11)\to C'(-2+4,3+2)[/tex]
[tex]C(-2,11)\to C'(2,5)[/tex]
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
[tex]A(m,n)\to A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)[/tex]
From the given figure it is clear that the image of point A is (8,4).
[tex]A'(\dfrac{1}{3}(m-4)+4,\dfrac{1}{3}(n-2)+2)=A'(8,4)[/tex]
On comparing both sides, we get
[tex]\dfrac{1}{3}(m-4)+4=8[/tex]
[tex]\dfrac{1}{3}(m-4)=8-4[/tex]
[tex](m-4)=3(4)[/tex]
[tex]m=12+4[/tex]
[tex]m=16[/tex]
And,
[tex]\dfrac{1}{3}(n-2)+2=4[/tex]
[tex]\dfrac{1}{3}(n-2)=4-2[/tex]
[tex](n-2)=3(2)[/tex]
[tex]n=6+2[/tex]
[tex]n=8[/tex]
Therefore, the coordinates of point A are (16,8).
ASAP WHO EVER ANSWERS THIS WILL BE MARKED BRANLIEST
Answers
Answer:
option A is the answer hope you find it helpful
can someone help meeee
Answers
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
Actually Welcome to the Concept of the Volumes.
Volume = base area * Height
hence, here,
base area = 1/2(3)(4)
base area = 6 sq. inches,
now volume = 6 * height
==> Volume = 6*11 = 66 cubic inches
====> hence the volume of the triangular prism is 66 cubic inches.
Area of a rectangle is (6x25x + 2) sq. units.
the breadth of the rectangle is 6x - 7 units, what is its length?
write the expression which represents the perimeter of the rectangle
lf x=10m, find the actual length, breadth and area of the rectangle.
Answers
Find the range for the list of numbers
21, 18, 24, 19, 27
Question 3 options:
6
9
21
21.8
Answers
Answer:
9
Step-by-step explanation:
i did the same thing on k12
what is greater1/2 or 1/5
Answers
Answer:
1/5
Step-by-step explanation:
[tex]hope \: it \: helps \: you[/tex]
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. How much more per ounce does her conditioner cost than her shampoo?
Answers
Answer:
0.15
Step-by-step explanation:
6 divided by 24 equals 0.25
12 divided by 30 equals 0.4
0.4 minus 0.25 is 0.15
Marsha spends 150 minutes a night doing homework.
. Math homework takes 1/6 of that time.
Science homework takes 20% of that time.
·Language Arts homework uses of that time.
What percent of the time is left for Marsha's social studies homework?
Answers
THE ANSWER FOR THIS IS
30%
Help me Asap Please.
Find the area of the figure.Rounded to the nearest tenth, the area is
_ square meters.
Answers
Answer:
area of the rectangle =8*15=120sq.m
area of semi circle =1/2*π*4*4
=1/2*22/7*4*4=22/7*8=176/7=2.51sq.m
The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is the length of the shortest side of the triangle
Answers
Answer:
20 cm
Step-by-step explanation:
5x + 32 + 6x + 4 = 80
11x + 36 = 80
11x = 44
x = 4
sides of triangle:
5(4) = 20 cm
32 cm
6(4) + 2 = 26 cm
5x³-45x (Factor COMPLETELY)
Answers
Step-by-step explanation:
5x³ - 45x
5x(x² - 9)
Or 5x(x-3)(x+3)
[tex]\tt{} {5x}^{2} - 45x[/tex]
[tex]\tt{}5x \times ( {x}^{2} - 9)[/tex]
[tex]\tt{}5x \times (x - 3) \times ( x + 3)[/tex]
Avery deposited $1,250 in a new savings account. Determine which amount is closest to the balance of the account at the end of 3 years at 5.5% interest compounded annually if she did not make any further deposit or withdrawal.
Answers
Answer:
$1456.25
Step-by-step explanation:
Given data
P= $1,250
t= 3 years
r=5.5%
The compound interest expression is given as
A= P(1+r)^t
substitute
A= 1250(1+0.055*3)
A= 1250(1+ 0.165)
A= 1250(1.165)
A= 1456.25
Hence the amount after 3 years is $1456.25
Please I need serious help with this ASAP!!! I will mark brainliest if correct!! Please explain!!!
Answers
Answer:
1. Given
2. Reflection property of congruence
3. Definition of a a midpoint
4. Reflexive property of congruence
5. CPCTC
Step-by-step explanation:
evaluate f(.25) if f(x) = [[2x-1]]
Answers
Answer:
(-.5)
Step-by-step explanation:
A carpenter has wood planks that are 4 yards, 8 yards, 7 yards, and 3 yards long. what is the mad of these measurements
Answers
Answer:
6
Step-by-step explanation:
what you have to do to find that out is add them all togeather the divide that whole by the amount of numbers you were adding so in this case it would be 3 so you would add 8,7, and 3 to get 18 then divide that by 3 to get 6.
hope this helps
pls mark brainliest
