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VladimirAG [237]
2 years ago
15

The first step in determining the solution to the system of equations, y = -x2 - 4x - 3 and y = 2x + 5, algebraically is to set

the two equations equal as -x2 - 4x -3 = 2x + 5. What is the next step?
Mathematics
1 answer:
aliya0001 [1]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

Next step is to gather 'like' terms

-x2 - 4x -3 = 2x + 5.

x^2 + (4x + 2x)   + (3+5)    = 0       then simplify

x^2 + 6x + 8     = 0        then factor

(x+4)(x+2) = 0  

so either of these terms = 0

x+4 = 0    means   x = -4

x+ 2 = 0 means  x = - 2          

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A boat travels 432km in 24 hours how far can it travel in 16 hours?
pickupchik [31]
The answer is 288 km!

3 0
3 years ago
Help asap pls and thx
vazorg [7]

Step-by-step explanation:

from what I can see there are 2 options to make the 2 triangles congruent :

either the opposite sides must be equal or the neighboring sides must be equal.

so, either

5x = 3x + 10

and

5x - 2 = 4x + 3

or

5x = 4x + 3

and

5x - 2 = 3x + 10

for the first

5x = 3x + 10

2x = 10

x = 5

control

5x - 2 = 4w + 3

5×5 - 2 = 4×5 + 3

23 = 23

correct.

for the second

5x = 4x + 3

x = 3

control

5×3 - 2 = 3×3 + 10

15 - 2 = 9 + 10

13 = 19

no, not a valid solution.

so, x = 5

5 0
2 years ago
If m∠XWY = 20°, m∠XWZ = 40°, and XY = 16, what is the value of YZ?
Jobisdone [24]
YZ = 16. The triangles are congruent. This would be AAS so YZ = 16 because of CPCTC.
7 0
3 years ago
Person A can paint the neighbor's house 6 times as fast as Person B. The year A and B worked together it
uranmaximum [27]

Person A takes 2.3 days to paint the house working alone

Person B takes 13.8 days to paint the house working alone

<em><u>Solution:</u></em>

Let "x" be the number of days it takes person A  to paint the house

Person A can paint the neighbor's house 6 times as fast as Person B

Therefore.

Number of days it takes person B to paint the house = 6x

Their rates of painting are added to get  the rate working together

\frac{\text{1 house}}{\text{x days}} + \frac{\text{1 house}}{\text{6x days}} = \frac{\text{1 house}}{\text{2 days}}

\frac{1}{x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{1 \times 6}{6x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{7}{6x} = \frac{1}{2}\\\\\ x = \frac{7}{3}= 2.3

Thus person A takes 2.3 days to paint the house working alone

Person B = 2x = 6(2.3) = 13.8

Thus person B takes 13.8 days to paint the house working alone

3 0
3 years ago
Mr smith earns $75 a day plus $35 for each car he sells if e is the amount he earned and c is the number of cars he sold which e
jeka94

Answer:

110

Step-by-step explanation:

So if add 75 + 35 you will get the number 110

Really hoped this helped

6 0
3 years ago
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