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tensa zangetsu [6.8K]
2 years ago
8

Tell whether the ordered pair is a solution of the given system (-2,1); {y=-2x-3; y=x+3

Mathematics
2 answers:
PilotLPTM [1.2K]2 years ago
7 0
Plug the ordered pair into EACH equation and if it true for BOTH equations then it is a solution to the system.
1 = -2(-2) -3
1 = 4 - 3
1 = 1 Checks

1 = -2 + 3
1 = 1 Checks
Since it works in both equations YES, it is a solution
There are more ways to determine if an ordered pair is a solution if you're interested in another way.
Nataly_w [17]2 years ago
6 0
Yes it is a solution
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Vertex form is f(x)=a(x-p)^2 +q. How do i determine a?
slamgirl [31]
Y1 is the simplest parabola.  Its vertex is at (0,0) and it passes thru (2,4).  This is enough info to conclude that y1 = x^2.

y4, the lower red graph, is a bit more of a challenge.  We can easily identify its vertex, which is (-4,0), and several points on the grah, such as (2,-3).

Let's try this:  assume that the general equation for a parabola is 
y-k = a(x-h)^2, where (h,k) is the vertex.  Subst. the known values,

-3-(-4) = a(2-0)^2.  Then 1 = a(2)^2, or 1 = 4a, or a = 1/4.

The equation of parabola y4 is   y+4 = (1/4)x^2

Or you could elim. the fraction and write the eqn as 4y+16=x^2, or

4y = x^2-16, or    y = (1/4)x - 4.  Take your pick!  Hope this helps you find "a" for the other parabolas.


8 0
3 years ago
PLS HELP WILL GIVE BRAINLIEST AND 20 POINTS TY!
brilliants [131]

Answer: It is B)

Step-by-step explanation: It was 8.66 something and that rounded to the nearest tenth is 8.7

7 0
2 years ago
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M-3x=2x+p<br> Solve for x
abruzzese [7]
X=m/5-p/5 i tried my best to answer this problem

7 0
3 years ago
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Department s had 500 units 60% completed in process at the beginning of the period; 9,000 units completed during the period; and
Delicious77 [7]

With the concept of first in, first out method, then we can use the formula below to solve for the number of equivalent units of production for that period.

 

number of equivalent units of production

= Total number of units completed during that period (A) – Number of units completed in process at the beginning of the period (B) + Number of units completed at the end of the period (C)

= A – B + C

We know that,

A = 9000 units

So we solve for B and C.

B is 60% of the 500 units, therefore:

B = 0.60 * 500 = 300

C is 30% of the 600 units, therefore:

C = 0.30 * 600 = 180

 

Substituting the values into the equation:

number of equivalent units of production  = 9000 – 300 + 180

number of equivalent units of production  = 8880 units

 

Answer:

A. 8880

3 0
3 years ago
I need help with this question about similar triangles
Colt1911 [192]

Answer:

ST = 12 units

Step-by-step explanation:

Δ RAS and Δ TES are similar triangles, thus the ratios of corresponding sides are equal, that is, noting that SR = 21 - ST, thus

\frac{ST}{SR} = \frac{TE}{AR} substitute values

\frac{ST}{21-ST} = \frac{8}{6} ( cross- multiply )

6ST = 8(21 - ST)

6ST = 168 - 8ST ( add 8ST to both sides )

14ST = 168 ( divide both sides by 14 )

ST = 12

6 0
3 years ago
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