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pav-90 [236]
2 years ago
7

Graph the system of equations on your graph paper to answer the question.

Mathematics
1 answer:
ddd [48]2 years ago
8 0

Answer:

The solution of the two give equations is (-1,4)

Step-by-step explanation:

i) First equation is        y = -x + 3

ii) Second equation is y = x + 5

iii) If we add the two equations we get 2y = 8    ∴ y = 4

iv) Substituting the value of y obtained in iii) in equation i) we get

    4 = -x + 3   ∴ -x = 4 - 3     ∴ -x = 1      ∴ x = -1

v) substituting x = -1 and y = 4 in the second equation we see that the equation is satisfied.

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Find the conjugate of the complex number, use division:<br> 2+i<br> ——<br> 1+i
Fittoniya [83]

I assume you mean divide using the conjugate to rationalize the denominator and express the result in standard rectangular form.

\dfrac{2+i}{1+i} = \dfrac{2+i}{1+i} \cdot \dfrac{1-i}{1-i} = \dfrac{2(1)-i^2-2i+i}{1^2+1^2} = \frac 3 2 - \frac 1 2 i


4 0
3 years ago
The equation (2x^2 - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2) is an example
Nookie1986 [14]

The method used is Distributive Property.

<h3>What is Distributive property?</h3>

The Distributive Property is an algebraic property that is used to multiply a single value and two or more values within a set of parenthesis.

Given:

(2x² - 1)(3x+2) = (2x²)(3x) + (2x²)(2) + (-1)(3x)+(-1)(2)

Here the property used is Distributive property.

Because distributive property in this way

a*(b+c)= a*b+ a*c

This is how a is being multiplied by with b and c.

Learn more about this Distributive property here:

brainly.com/question/4136433

#SPJ1

8 0
1 year ago
A childs height measures 105 centimeters. Estimate her height in inches.
Mariulka [41]

Answer:

40 inches

Step-by-step explanation:

if 25 cm = 10 in.

the closest of 105 that can divided by 25 is 100

100/25 is 4

so 4 in. is the answer

3 0
3 years ago
Read 2 more answers
The temperature is 78 °F at 2:00 in the afternoon. If the temperature drops 4 °F every hour after that, what is the temperature
Galina-37 [17]

Answer:

The answer to your question is: 54°F

Step-by-step explanation:

Data

Ti = 78°F

Initial hour = 2:00

Temperature drops 4°F every hour

Temperature at 8:00 = ?

Process

                      2:00                  

                       3:00             78-4 =     74°F

                      4:00              74-4 =      70°F

                      5:00              70-4 =      66°F

                      6:00              66-4 =      62°F

                       7:00             62-4 =     58°F

                      8:00              58-4 =      54°F

3 0
3 years ago
Hey can you please help thank you
IgorLugansk [536]

Answer: b and e

Step-by-step explanation:

6 0
2 years ago
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