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kozerog [31]
4 years ago
11

Which graph represents this system? y = 2 x + 1. y = negative 4 x + 7. On a coordinate plane, a line goes through (0, 7) and (1,

3) and another goes through (1, 3) and (2, 5). On a coordinate plane, a line goes through (negative 4, 0) and (0, 7) and another line goes through (negative 4, 3) and (0, 1).
Mathematics
2 answers:
Mariana [72]4 years ago
8 0

Answer:

On a coordinate plane, a line goes through (0, 7) and (1, 3) and another goes through (1, 3) and (2, 5) will be the correct option as there is (1,3) a common point.

Step-by-step explanation:

The given system of equation are  

y = 2x + 1 ............. (1) and  

y = - 4x + 7 .............. (2)  

Now, solving those two equations we get,  

2x + 1 = - 4x + 7

⇒ 6x = 6

⇒ x = 1

Now, from equation (1) we get, y = 2x + 1 = 2(1) + 1 = 3

Therefore, both the equation passes through the point (1,3) as it is the solution of the system of equations.

So, on a coordinate plane, a line goes through (0, 7) and (1, 3) and another goes through (1, 3) and (2, 5) will be the correct option as there is (1,3) a common point. (Answer)

Pani-rosa [81]4 years ago
4 0

Answer:

its c

Step-by-step explanation:

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Irina-Kira [14]

Answer:

(3^6)/2

Step-by-step explanation:

make sure everything as the numerator is in parenthesis

4 0
3 years ago
4y + 10 = 5x 2.5x + 2y = -10​
Mekhanik [1.2K]

Answer:

are they seperate equations?

Step-by-step explanation:

5 0
3 years ago
Use the diagram, which is not drawn to scale to find AD if you know that AC=24 & BC=12
Firdavs [7]

Answer:

Option b. AD=18\ units

Step-by-step explanation:

step 1

In the right triangle ABC

<em>Find the sine of angle CAB</em>

sin( ---> the sine of angle CAB is equal to divide the opposite side angle CAB (BC) by the hypotenuse (AC)

substitute

sin(

simplify

sin( ---->equation A

step 2

In the right triangle BDC

<em>Find the sine of angle CBD</em>

sin( ---> the sine of angle CBD is equal to divide the opposite side angle CBD (DC) by the hypotenuse (BC)

substitute

sin( ----> equation B

step 3

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles ABC and BDC are similar by AA Similarity Theorem

therefore

m∠CBD≅m∠CAB

equate equation A and equation B

\frac{DC}{12}=\frac{1}{2}

solve for DC

DC=\frac{12}{2}=6\ units

step 4

Find the value of AD

AD=AC-DC

substitute the values

AD=24-6=18\ units

4 0
3 years ago
Read 2 more answers
Twice a number increased by seven is equal to five. Which of the following represents the equation and solution for this stateme
jeyben [28]

Hey there!

The answer to your question is the third option: 2n + 7 = 5; n = -1

"twice a number increased by 7" would represent 2n + 7, and if it's equal to 5, it would be 2n + 7 = 5. That rules out the last option, and the second option. Now, we have to solve for "n":

2n + 7 = 5         Step 1: Write the equation.

     2n = -2        Step 2: Subtract 7 from both sides.

       n = -1         Step 3: Divide both sides by 2.

Therefore, "n" is equal to -1, and the third option would be correct.

Hope it helps! Have a great day, and good luck on your assignment!

5 0
3 years ago
Read 2 more answers
Starting at the point (0,0) how many ways are there to get to the point (7,4) if you have to pass through the point (2,2) and ea
cricket20 [7]

The number of ways there are to get to the point (7,4) if you have to pass through the point (2,2) is; 1266 ways

<h3>How to find the lattice Paths?</h3>

The formula to get the number of ways to get to the lattice point (x, y) (supposing x, y ≥ 0) by taking steps of one unit each either in the eastward or northward direction is exactly;

(x + y)

          = (x + y)!/(x!y!)

(   x   )

Thus, number of ways from (0, 0) to (2, 2) = (2 + 2)!/(2!2!) = 6 ways

Number of ways to get to point (7,4) from (2, 2) is;

((7 - 2) + (4 - 2))!/(2!2!) = 7!/(2!2!) = 1260

Thus, total number of ways = 1266 ways

Read more about Lattice paths at; brainly.com/question/2109763

#SPJ4

4 0
2 years ago
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