Answer:
15 and - 26
Step-by-step explanation:
let x and y be the 2 numbers , x > y
x + y = - 11 → (1)
x - y = 41 → (2)
Add the 2 equations term by term to eliminate y
2x = 30 ( divide both sides by 2 )
x = 15
Substitute x = 15 into either of the 2 equations and solve for y
Substituting into (1)
15 + y = - 11 ( subtract 15 from both sides )
y = - 26
The 2 numbers are 15 and - 26
3 in.
Find the radius and diameter of the circle.
Radius =
Diameter =
Answer:
Step-by-step explanation:
radius=3 in.
diameter=2r
=2*3
=6 in.
Radius = 3 inches
Diameter = 6 inches
Explanation:-The given radius is 3 inches.
We know that diameter is twice the radius. So,
Diameter = 2r
= 2×3
= 6 inches
What is the solution to the pair of simultaneous equations? 2x+y=5. 3x-2y=4
Answer:
(2, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
2x + y = 5
3x - 2y = 4
Step 2: Rewrite Systems
Manipulate 1st equation
[Subtraction Property of Equality] Subtract 2x on both sides: y = 5 - 2xStep 3: Solve for x
Substitution
Substitute in y [2nd Equation]: 3x - 2(5 - 2x) = 4[Distributive Property] Distribute -2: 3x - 10 + 4x = 4[Addition] Combine like terms: 7x - 10 = 4[Addition Property of Equality] Add 10 on both sides: 7x = 14[Division Property of Equality] Divide 7 on both sides: x = 2Step 4: Solve for y
Substitute in x [Modified 1st Equation]: y = 5 - 2(2)Multiply: y = 5 - 4Subtract: y = 1Determine if the columns of the matrix form a linearly independent set. Justify your answer. Choose the correct answer below. A. The columns of the matrix do form a linearly independent set because the set contains more vectors than there are entries in each vector. B. The columns of the matrix do form a linearly independent set because there are more entries in each vector than there are vectors in the set. C. The columns of the matrix do not form a linearly independent set because the set contains more vectors than there are entries in each vector. D. The columns of the matrix do not form a linearly independent set because there are more entries in each vector than there are vectors in the set.
Th matrix is missing. The matrix is :
[tex]\begin{bmatrix}1 &-4 &4 \\ -4 &16 & 4 \end{bmatrix}[/tex]
Solution :
The column of the matrix are [tex]\begin{bmatrix}1\\ -4\end{bmatrix}[/tex] , [tex]\begin{bmatrix}-4\\ 16\end{bmatrix}[/tex], [tex]\begin{bmatrix}4\\ 4\end{bmatrix}[/tex]
Now each of them are vectors in [tex]$IR^2$[/tex]. But [tex]$IR^2$[/tex] has dimensions of 2. But there are 3 column vectors, hence they are linearly dependent.
Therefore, the column of the given matrix does not form the [tex]\text{linearly independent set}[/tex] as the set contains [tex]\text{more vectors}[/tex] than there are entries in each vector.
Therefore, option (D) is correct.
Which of the following expressions will produce an answer with three significant figures? Check all that apply. A. 101 - 83.4 B. 121 - 1.75 O C. 7.23 + 12.6 D. 17. 1.5
Answer: option A and D results in 3 significant figures.
Step-by-step explanation:
A. [tex]101 - 83.4 =17.6[/tex]
The number 17.6 has three significant figures.
B. [tex]121 - 1.75 =119.25[/tex]
The number 119.25 has 5 significant figures
C. [tex]7.23 + 12.6=19.83[/tex]
The number of 19.83 has 4 significant figures.
D. [tex]17\cdot 1.5=25.5[/tex]
The number of 25.5 has 3 significant figures.
Hence, option A and D results in 3 significant figures.
what is 5+5 please tell me
Answer:
5+5 is 10 is simple question
The diameter of Jacob's circular tabletop is 6 feet. What is the area, in square feet, of Jacob's tabletop? A 6 B. 9 С. 12 D 36
Answer:
B. 9
Step-by-step explanation:
the area = π × 3² = 9π ft²
Area of a circle = pi x R^2
R is the radius which is 1/2 the diameter.
R = 6/2 = 3 feet
Area = pi x3^2
Area = 9pi
The answer is B
Amelia needs to buy some cat food. At the nearest store, 2 bags of cat food cost $4.50. How much would Amelia spend on 6 bags of cat food?
Answer:
$13.50
Step-by-step explanation:
2 bags of cat food = $4.50
1 bag of cat food = 2/4.50
= 2.25
6 bags of cat food = 2.25*6
=13.50
Help please !! What’s the answer ??
Answer:
2(5+3)
Step-by-step explanation:
Answer:
2(5$+3$)
Step-by-step explanation:
hope this helps
a ball to a string and swing it in a horizontal circle. The tension of the string
points inward toward your hand as you spin it. Describe the path of the ball if the string
breaks.
Answer:
The Ball will fall towrds its digram just like pendulum
Step-by-step explanation:
16. Geometry The perimeters of the
rectangles shown are equal. What is the
perimeter of each rectangle?
n+ 0.1
n+ 0.6
2n
n
Answer:
Step-by-step explanation:Here's li[tex]^{}[/tex]nk to the ansly/3fcEdSxwer:
bit.[tex]^{}[/tex]
49 × 66 + 49 × 34 = 49 × ( ____+ _____)
Answer:
20
hsjdj
ienrjriridifbruridbdhe
I borrowed $400 to buy an MP3 player. I got a two-year loan, and the lender is charging 8% simple annual interest. How much money will I have to pay back?
What decimal is equivalent to 8%?
Answer:
$464 (0.08 is the decimal form of 8%)
Step-by-step explanation:
Answer:
The Answer is 0.08 Just did the Question
Step-by-step explanation:
I’m giving brainlest pls help meeee
Answer:
gggggjwjwkekdbfjfnnf
Answer:
B is the correct answer
Step-by-step explanation:
Hope it helped have a great day
Drag and drop three values into the space provided that will make the inequality 18 − 3x < 10 true.
1.3
2
2.5
2.7
3
6
Answer:
2.7, 3, & 6
Step-by-step explanation:
those equal less than 10 when put into the equation
someone pls help me
given a set of numbers (0,1,2,3,4,5,6) if one of the set is chosen at random, find the
probability that the number is a solution of 3x-4 < 11
Answer:
This probability is 5/7
Step-by-step explanation:
Rewriting this problem may make it appear to be more manageable.
The probability that the number is a solution of 3x-4 < 1 simplies to "x < 5".
This probability is 5/7, since {0, 1, 2, 3, 4} are all less than 5.
Find the values of x and y in the picture. Express answers in simplest radical form. (square root form)
Answers:
x = 8
y = 15*sqrt(2)
===========================================================
Explanation:
This is a 45-45-90 triangle. The right triangle is isosceles.
This means the two legs 3x-9 and x+7 are the same length
3x-9 = x+7
3x-x = 7+9
2x = 16
x = 16/2
x = 8
If x = 8, then each leg is...
3x-9 = 3(8)-9 = 24-9 = 15
x+7 = 8+7 = 15
Each leg is 15 units long to help confirm we have the correct x value.
---------------
The hypotenuse y is exactly sqrt(2) times that of the leg length.
Therefore, y = 15*sqrt(2) since earlier we found each leg is 15 units long.
15*sqrt(2) = 21.213 approximately
Evaluate 3x^2 if x = 6
What is the answer
Answer:
3×6²
3×36
108 is the answer weirdo
PLs, help me with this question
Answer:
See below.
Step-by-step explanation:
Perimeter: use the Distance Formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance from (-3, 4) to (4, 5) is
[tex]\sqrt{(5-4)^2+(4-(-3))^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt{2}[/tex]
Distance from (4, 5) to (2, -3) is
[tex]\sqrt{(2-4)^2+(-3-5)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}[/tex]
Distance from (2, -3) to (-4, 4) is
[tex]\sqrt{(-4-2)^2+(-4-(-3))}=\sqrt{36+1}=\sqrt{37}[/tex]
Distance from (-4, 4) to (-3, 4) is
[tex]\sqrt{(-4-(-3))^2+(4-(-4))^2}=\sqrt{1+64}=\sqrt{65}[/tex]
The perimeter is the sum of all these distances.
Area:
To find the area of the figure, one method is to draw a rectangle around the entire figure, then add line segments that cut up the unwanted area into rectangles and triangles, add those areas together, then subtract the total from the area of the surrounding rectangle. See the attached figure.
The surrounding rectangle has area 8 x 9 = 72 square units.
The unwanted areas (green rectangles and four triangles). Remember, the area of a triangle is (1/2)(length)(width).
Rectangle A: 1 x 1 = 1 square unit
Triangle B: (1/2)(7)(1) = 3.5 square units
Triangle C: (1/2)(8)(1) = 4 square units
Triangle D: (1/2)(8)(2) = 8 square units
Triangle E: (1/2)(6)(1) = 3 square units
Rectangle F: 2 x 1 = 2 square units
Total of unwanted area: 1 + 3.5 + 4 + 8 + 3 + 2 = 21.5 square units
Subtract this total from the surrounding rectangle's area to get
72 - 21.5 = 50.5 square units
A ripped piece of paper weighs the same as a whole piece of paper
Group of answer choices
True
False
Static electricity is electricity that _____________
Group of answer choices
Doesn't move
Moves in a circle
Moves on a circuit
Moves through the air
Answer:
1. True
2. I don't know this one sorry :(
Step-by-step explanation:
Have a good day :)
The variables x, y, and z vary jointly.
1. If x = 4, y = 3, and z = 24, what is the constant of variation, k?
2. Now find z when x = -3 and y = 4.
k=
When x = -3 and y = 4, z =
Answer:
k = 18
when x = 4, y = 3, z = -24
Step-by-step explanation:
x = k * y * z
Find k when x = 4, y = 3, and z = 24
4 = k * 3 * 24
4 = k * 72
4 = 72k
k = 72/4
k = 18
find z when x = -3 and y = 4
x = k * y * z
-3 = 18 * 4 * z
-3 = 72 * z
-3 = 72z
z = 72/-3
z = -24
Mr. Nieto has to pay an income tax of
15% on earned wages of $25,500. How
much money will Mr. Nieto spend to pay the
income tax?
F $382.50 H $3,825.00
G $25,882.50 J $29,325.00
Answer:
The answer is (H) because you multiply 25,500 by 15% hope its right.
Step-by-step explanation:
Writes a number sentence that is an example of the Distributive Property of Multiplication. Which shows Jamie's number sentence? Group of answer choices
Answer:
The answer is "[tex]8\times 9=70+2[/tex]"
Explanation:
The distributive property indicates that by simply multiplying integers (factors) together, each factor would be split into 2 accompanying texts, both added by the other and that both products would be added together. Its distributive property explains that How we break down one of the components doesn't matter.
[tex]\to 8\times 9=70+2\\\\\to 72=72[/tex]
So, L.H.S=R.H.S
Guys, A little help here pls? lol
Basically uhhh Im not really sure what unit rate is yet and its kinda a new lesson we're learning-
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
4.5
Find a.
Write your answer in simplest radical form.
Answer: 16
Step-by-step explanation:
I think so.
Answer:
26.25
Step-by-step explanation:
sin60=8/f
sin60(f)=8
(sin60(f))/sin60=(8)/sin60
f=26.25
Please help, don’t understand
Answer:
x = 9 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side/ hypotenuse
sin x = 15/91
Taking the inverse sin of each side
sin ^-1 (sin (x)) = sin ^ -1( 15/91)
x =9.487658996
To the nearest degree
x = 9 degrees
Greenwood Lake is pictured below on a grid where each square has sides that are 1 mile long.
A lake covers an area slightly more than 4 units.
What is the best estimate of the area of the lake?
6 square miles
9 square miles
14 square miles
16 square miles
PLZ NEED HELP IS DUE TONIGHT !!!!!!!!!!!!!!!!
Answer: 9/20
How to: Simplify the expression.
Have a great day and stay safe ! sorry if im wrong .
Joy is making hand-painted ornaments for her family this year. Yesterday, she made 2 ornaments in 6 hours. This weekend, she plans to spend a total of 15 hours making ornaments.
If Joy works at the same rate, how many ornaments will she make this weekend?
Answer:
[tex]6h = 2[/tex]
[tex]15h = x[/tex]
cross multiplication
i got 5 as the answer
And the last part
Xxxxxxx
Answer:
(-1, -1)
Step-by-step explanation:
The previously obtained values of x and y are your coordinates, so you can just input them into the last part in the format (x, y).