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mariarad [96]
4 years ago
13

Solve the system of equations y=x^2-3x+2 y=-9x-3

Mathematics
1 answer:
iragen [17]4 years ago
5 0

Answer:

Step-by-step explanation:

The slope-intercept form is  

y

=

m

x

+

b

, where  

m

is the slope and  

b

is the y-intercept.

y

=

m

x

+

b

Find the values of  

m

and  

b

using the form  

y

=

m

x

+

b

.

m

=

1

b

=

0

The slope of the line is the value of  

m

, and the y-intercept is the value of  

b

.

Slope:  

1

y-intercept:  

0

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Solve algebraically<br> x2 + y2 = 18<br> x-2y=-3
alisha [4.7K]

Answer:

(- \frac{3}{5}, - \frac{21}{5} ) and (3, 3 )

Step-by-step explanation:

Given the 2 equations

x² + y² = 18 → (1)

x - 2y = - 3 → (2)

Rearrange (2) expressing x in terms of y by adding 2y to both sides.

x = 2y - 3 → (3)

Substitute x = 2y - 3 into (1)

(2y - 3)² + y² = 18 ← expand left side and simplify

4y² - 12y + 9 + y² = 18

5y² - 12y + 9 = 18 ( subtract 18 from both sides )

5y² - 12y - 9 = 0 ← in standard form

(5y + 3)(y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

5y + 3 = 0 ⇒ 5y = - 3 ⇒ y = - \frac{3}{5}

y - 3 = 0 ⇒ y = 3

Substitute these values into (3) for corresponding values of x

y = - \frac{3}{5} : x = - \frac{6}{5} - 3 = - \frac{21}{5} ⇒ ( - \frac{3}{5}, - \frac{21}{5} )

y = 3 : x = 6 - 3 = 3 ⇒ (3, 3 )

6 0
3 years ago
Which decimal is equivalent to<br> 11/50
WARRIOR [948]

Answer:

0.22

Step-by-step explanation:

To get 11/50 converted to decimal, you simply divide 11 by 50.

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!!50 point!!!
SSSSS [86.1K]

Answer:

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Step-by-step explanation:

<u>Connect points H and K and you have two triangles:</u>

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<u>The answer options:</u>

statement A:

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statement C:

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Portia has 9 more pennies than quarters. Altogether she has $2.95 in pennies and quarters. How many of each coin does Portia hav
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Answer:

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