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Brums [2.3K]
3 years ago
13

Y = x^2 - 2x - 8 i need the y-intercept , the vertex , and the axis of symmetry

Mathematics
1 answer:
Aloiza [94]3 years ago
4 0
The answer would be
vertex = (1,-9)
y- intercept = (0,8)
axis of symmetry= x = 1

i hope this helped :)
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What is the sum of −2.8 and +3.6?
iren2701 [21]

Answer:

0.8

Step-by-step explanation:

-2.8 + 3.6

Add −2.8 and 3.6 to get 0.8.

= 0.8

Hope it helps and have a great day! =D

~sunshine~

7 0
3 years ago
Read 2 more answers
Como divido 2 5/8 / 5 ayuda
geniusboy [140]

Answer:

21/40

Step-by-step explanation:

2 5/8 / 5 =

= 2 5/8 / 5/1

= 21/8 × 1/5

= 21/40

8 0
2 years ago
Can anyone please help me I really need your help.
riadik2000 [5.3K]
Wouldn't it be divided, I'm pretty sure it would be, if not I'm sorry
6 0
3 years ago
Solve the given linear Diophantine equation. Show all necessary work. A) 4x + 5y=17 B)6x+9y=12 C) 4x+10y=9
aliina [53]

Answer:

A) (-17+5k,17-4k)

B)  (-4+3k,4-2k)

C) No integer pairs.

Step-by-step explanation:

To do this, I'm going to use Euclidean's Algorithm.

4x+5y=17

5=4(1)+1

4=1(4)

So going backwards through those equations:

5-4(1)=1

-4(1)+5(1)=1

Multiply both sides by 17:

4(-17)+5(17)=17

So one integer pair satisfying 4x+5y=17 is (-17,17).

What is the slope for this equation?

Let's put it in slope-intercept form:

4x+5y=17

Subtract 4x on both sides:

     5y=-4x+17

Divide both sides by 5:

      y=(-4/5)x+(17/5)

The slope is down 4 and right 5.

So let's show more solutions other than (-17,17) by using the slope.

All integer pairs satisfying this equation is (-17+5k,17-4k).

Let's check:

4(-17+5k)+5(17-4k)

-68+20k+85-20k

-68+85

17

That was exactly what we wanted since we were looking for integer pairs that satisfy 4x+5y=17.

Onward to the next problem.

6x+9y=12

9=6(1)+3

6=3(2)

Now backwards through the equations:

9-6(1)=3

9(1)-6(1)=3

Multiply both sides by 4:

9(4)-6(4)=12

-6(4)+9(4)=12

6(-4)+9(4)=12

So one integer pair satisfying 6x+9y=12 is (-4,4).

Let's find the slope of 6x+9y=12.

6x+9y=12

Subtract 6x on both sides:

      9y=-6x+12

Divide both sides by 9:

       y=(-6/9)x+(12/9)

Reduce:

       y=(-2/3)x+(4/3)

The slope is down 2 right 3.

So all the integer pairs are (-4+3k,4-2k).

Let's check:

6(-4+3k)+9(4-2k)

-24+18k+36-18k

-24+36

12

That checks out since we wanted integer pairs that made 6x+9y=12.

Onward to the last problem.

4x+10y=9

10=4(2)+2

4=2(2)

So the gcd(4,10)=2 which means this one doesn't have any solutions because there is no integer k such that 2k=9.

6 0
3 years ago
The scale model of a skyscraper being built is 4.2 feet tall. When it is finished, the skyscraper will be 525 meters tall. What
luda_lava [24]
There are two scales that may be possible for this scale model; one where it's for every foot and one where it's for every meter.
The for every foot would be better to find out since the scale would be easier to use.
First, you have to divide each sided by 4.2, since you want to find how many meters for each foot.
4.2 \div 4.2 = 1 \\ 525 \div 4.2 = 125
For every 1 foot used in the model, the actual will be 125 meters.
1 ft = 125 m
8 0
3 years ago
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