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melomori [17]
3 years ago
5

What is the equation? Picture attatched

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
6 0

Answer:

y = x - 5

Step-by-step explanation:

Equation of any two parallel lines differ only by a constant.

Therefore, the equation of the line parallel to $ ax + by + c_1 = 0$ would be ax + by + c₂ = 0.

The equation of the line parallel to $ y = x - 3 $ should be equal to

                                            x - y + c = 0.

Since, a point intersecting the line is given this means that the line passes through this point. This can be used to determine the value of c.

⇒ 3 -(-2) + c = -5 + c = 0

⇒ c = - 5.

Substituting we get:  x - y - 5 = 0

⇒ y = x - 5 is the required equation of the line.

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Find 3 consecutive even integers if their sum decreased by 10 equals -22
Orlov [11]
Three consecutive even integers can be represented by x, (x+2), and (x+4).

(x + (x + 2) + (x + 4)) - 10 = -22   Get rid of the parentheses
    x + x + 2 + x + 4 - 10 = -22   Combine like terms (x + x + x) and (2 + 4 - 10)
                               3x - 4 = -22   Add 4 to both sides
                                    3x = -18   Divide
                                      x = -6
Check you work.

x = -6
x + 2 = -4
x + 4 = -2

(-6 - 4 - 2) - 10 = 22
-12 - 10 = -22

So, your three integers are -6, -4, and -2 .
6 0
3 years ago
What is the beat estimate for the quotient? 591.3 device by 29
Sedbober [7]
Hi there!

To estimate, we can round:

591.3 is approximately 600
29 is approximately 30

Now, we divide:

600 / 30 = 20

Hope this helps!
6 0
3 years ago
F= 8/5 (c) + 40 when c=5
Molodets [167]

Answer:

F = 48

Step-by-step explanation:

F= 8/5 (c) + 40

Let c=5

F = 8/5 * 5 +40

  = 8 + 40

  = 48

6 0
3 years ago
Read 2 more answers
Write and solve a problem involving money that can be solved with a multiplication equation. tell what the variable represents
olganol [36]
Ben wanted to take some money from his Friends to build his family a home. He said that he would give the money back after 12 months. So he would give 1500$ a month. How much money did he borrow?
1500*12=x

Matilda got also money, she told Ben, I got x $ from my dad and y $ from mom. all they gave me was 5000$. If I gave mom Half of the moneys I got from her than I would have 3000$ left to pay. How much did she borrow from her parents?
x+y=5000
and
x+y/2=3000

so x=5000-y
and
5000-y+y/2=3000

so
x=5000-y
and
y=4000

so x=1000 and y=4000
4 0
3 years ago
Which description does NOT guarantee that a quadrilateral is a square?
Ivahew [28]
Let's go through the choices one by one

------------------------------------------
Choice A

If all sides are congruent, then this figure is a rhombus (by definition). If all angles are congruent, then we have a rectangle. Combine the properties of a rhombus with the properties of a rectangle and we have a square.

In terms of "algebra", you can think
rhombus+rectangle = square

Or you can draw out a venn diagram. One circle represents the set of all rhombuses; another circle represents the set of all rectangles. The overlapping region is the set of all squares. The overlapping region is inside both circles at the same time.

So we can rule out choice A. This guarantees we have a square when we want something that isn't a guarantee.

------------------------------------------
Choice B

If we had a parallelogram with perpendicular diagonals, then we can prove that we have a rhombus (all four sides congruent). However, we don't know anything about the four angles of this parallelogram. Are they congruent? We don't know. So we can't prove this figure is a rectangle. The best we can say is that it's a rhombus. It may or may not be a rectangle. There isn't enough info about the rectangle & square part.

This is why choice B is the answer. We have some info, but not enough to be guaranteed everytime.

------------------------------------------
Choice C

This is a repeat of choice A. Having "all right angles" is the same as saying "all angles congruent". This is because "right angle" is the same as saying "90 degrees". So we can rule out choice C for identical reasons as we did with choice A.

------------------------------------------
Choice D

As mentioned before in choice A, if we know that a quadrilateral is a rectangle and a rhombus at the same time, then the figure is also a square. This is always true, so we are guaranteed to have a square. We can cross choice D off the list.

------------------------------------------

Once again, the final answer is choice B


3 0
3 years ago
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