Two lines, C and D, are represented by the equations given below:Line C: y = x + 12
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why? (5 points)

(4, 14), because one of the lines passes through this point
(4, 14), because the point lies between the two axes
(5, 17), because both lines pass through this point
(5, 17), because the point does not lie on any axis

Answers

Answer 1

Answer: Line C: y = x + 12
Line D: y = 3x + 2

(4,14)
C: y = 4 + 12 = 16
D: y = 3(4) + 2 = 12 + 2 = 14

(5,17)
C: y = 5 + 12 = 17
D: y = 3(5) + 2 = 15 + 2 = 17

(5,17) shows the solution to the system of equations, because both lines pass through this point.

Related Questions

Use the graph to find the possible value for X such that f(x) =10 A).10 B).15C).20D).40
A decimal outline is an outline that uses notations such as __________. 1.1, 1.2, and 1.3 I, II, and III A, B, and C a, b, and c
SolveAn airplane went 20 miles an hour faster than twice the speed of a car that ran x miles an hour
1 1/3 minus 5/6 please help me out
Simplify 5 + 2{x - 4[3x + 7(2 - x)]}. -34x - 107 34x - 107 34x + 107

How i do this -> Log 5x10^-3/2x10?

Answers

$log(5\cdot10^(-3))/(2\cdot10)}=log\left((5)/(2)\cdot(10^(-3))/(10)\right)=log(2.5\cdot10^(-3-1)})=log(2.5\cdot10^(-4))=(*)\n\nuse\ log(a\cdot b)=loga+logb\ and\ loga^b=b\cdot loga\n\n(*)=log2.5+log10^(-4)=log2.5-4log10=log2.5-4\n\vdots\nlog2.5=log(25)/(10)=log25-log10=log25-1=log5^2-1=2log5-1\n\ntherefore\n\n(*)=2log5-1-4=2log5-5$

What is the square root of 49 multiplied by the square root of 9

Answers

First we need to find the the answer to both the square root of 49 and 9.

The "square root" is a term referring to a number, multiplied by itself (x • x) would be = to your square root.

So for example: Square root of 16 = 4 because 4*4=16

So lets get out numbers:

$√(9) =3$
$√(49)=7$

Now you multiply 3*7 (or 7*3) and you get 21.

Final answer: 21

Well, first, you need to find the square root of the two numbers. To find it, they are the numbers multiplied by each other to get a product. Example: The square root of 49 = 7. Why? Because 7 times 7 = 49. You see how we multiplied 7 by its own self, and how we DIDN'T multiply 7 by any other number BUT itself? See, that's how you find the square root. So, we know that 3 times 3 = 9, and THAT means the square root of 9 = 3. All we have to do now is solve the problem when it says to multiply both of the numbers, (7 times 3), and WHAT DO YOU GET? 21! (Get it? Like the 21 joke-trend?) :D (Laughing emote). :P
Final Answer: 21. :-)

Henry has a new album for his baseball cards. He uses pages that hold 6 cards and pages that hold 3 cards. If Henry has 36 cards, how many different ways can he put them in his album? Henry can put the cards in his album Ways.

Answers

Answer=7 possibilities, assuming that the order in which they are put in isn't a factor.
Possibillities:
1. 6*6=36
2. (6*5)+(3*2)=36
3. (6*4)+(3*4)=36
4. (6*3)+(3*6)=36
5. (6*2)+(3*8)=36
6. 6+(3*10)=36
7. 3*12=36

7 different ways

Rhea has two cardboard boxes in the shape of rectangular prisms. Each box has the same height and cross-sectional area as the other. Which of the following best describes the relationship between the boxes according to Cavalieri's principle?A. The boxes are congruent.
B. The surface areas of the boxes are the same.
C. The base of each box has the same perimeter as the other.
D. The volumes of the boxes are the same.

Answers

Answer:

Option D) The volumes of the boxes are the same.

Step-by-step explanation:

Given that Rhea has two cardboard boxes in the shape of rectangular prisms. Each box has the same height and cross-sectional area as the other.

Since we are given height and cross sectional area are the same, we see that the bases have same area. The dimensions need not be congruent.

Hence the boxes need not be congruent

Surface area also need not be congruent since length, width may differ for each prism

The area is the same need not imply perimeter is the same.

Hence only option d) The volumes of the boxes are the same.

is the right answer.

Option D. The volume of the boxes are the same.

The formula for the volume of a prism is the area of the base times the height.

Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right endpoint of each interval. Give three decimal places in your answer.

Answers

Hello,

Reminders:
$\sum_(i=1)^(n) i= (n(n+1))/(2)$
$\sum_(i=1)^(n) i^2= (n(n+1))/(2)$
$\sum_(i=1)^(n) i^3= (n^2(n+1)^2)/(4)$

$n=6\n x_(0)=0\n x_(n)=3\n \Delta= (x_n-x_0)/(n)=0.5\n$
$x_(i) =0+\Delta*i= (i)/(2)$

$\sum_(i=1)^(n)\ \Delta*f(x_(i))=\sum_(i=1)^(6)\ (i^3/8-6i)/(2)$
$$= (1)/(2)\sum_(i=1)^(6) ((i^3)/(8) -6i)=(1)/(16)*((6*7)^2)/(4)- (9*7)/(2)= -3.9575$

What is the solution to the system of equation?

Answers

Answer:

ng a mg lg go BC gf fix ng cg fb buds check he its up gf sf ng stick BC just is it

Other Questions

Here are the possible outcomes when a pair of fair dice is rolled.1 2 3 4 5 6 1 2 3 4 5 6 7 2 3 4 5 6 7 8 3 4 5 6 7 8 9 4 5 6 7 8 9 10 5 6 7 8 9 10 11 6 7 8 9 10 11 12 In a roll of a pair of fair dice, what is the probability of the outcome being either a multiple of 3 or an even number? Are these events mutually exclusive? , mutually exclusive , not mutually exclusive , mutually exclusive , not mutually exclusive

Put these numbers in order from least to greatest 11, 7, 8, 3, 6, three, 16, 10, 16

The circle graph shows Tommy Blox spent the money he earned last summer. If he spent $80 on entertainment, how much did Tommy earn altogether?

One person sends an email to 2 people. Those 2 people send it to 4 people, and those 4 send it to 8 people. is this linear or exponential?