Y = –2x − 2 y = –3x − 8

Mathematics

1 answer:

Brut [27]3 years ago

8 0

Answer:

intersect at (10,-6)

Step-by-step explanation:

You might be interested in

Some of the highest tides in the world occur in the Bay of Fundy on the Atlantic Coast of Canada. At Hopewell Cape the water dep

BlackZzzverrR [31]

Answer:

$y = 5cos(\frac{\pi }{12}(t-6.75))+7$

Step-by-step explanation:

You have been asked to find the values in the function:

$y=Acos(B(t+C))+D$

First, calculate A, called the amplitude, as half the value from peak to peak (from lowtide to high tide):

$A = (12-2)/2=5$

Then, calculate the vertical shift D as the average value between the high tide and lowtide:

$D = (12+2)/2=7$

Then, if P is the natural period of the tide, you can calculate B, or the frequency as:

$B=\frac{\pi }{P}=\frac{\pi }{12}$

Finally you need to find C or the phase shift thinking that for negative values, the function is shifted (displaced) to the right.

C=-6.75

8 0

3 years ago

Solve the system of equations for x and y. y = x + 5 y = 2x + 2

DIA [1.3K]

Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)

3 0

3 years ago

Determine if the two triangles are congruent and write the conjecture. pls help

viva [34]

Answer:

(see below)

Step-by-step explanation:

First, to make it easier for yourself, "flip" the triangles so that they "match." To see what I'm talking about, refer to IMAGE.A.

Now that you can tell that the congruent side and angles are corresponding, you have to prove them congruent.

There is one side and two angles, so it's AAS or SAA.