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goldenfox [79]
3 years ago
15

ABCD is a trapezium with AB parallel to DC.

Mathematics
1 answer:
Julli [10]3 years ago
4 0

Answer:

Step-by-step explanation:a or b ?

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Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution
Svetlanka [38]

y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = -45

Finally divide both sides by -9 so x is by itself

(-9)÷(-9x) = -(45)÷(-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

y = -1

y = 4(5) - 21

y = 20 - 21

y = -1

Either way, X is 5 and Y is -1

Answer (5, -1)

5 0
3 years ago
Solve the quadratic function using square root X+10x+25 =18
lawyer [7]

Answer:

= − 7 /1 1  in fraction form

Step-by-step explanation:

STEP 1: Multiply by 1

1 + 1 0 + 2 5 = 1 8

+ 1 0 + 2 5 = 1 8                                                                                                                               STEP 2: Combine like terms

+ 1 0 + 2 5 = 1 8

1 1 + 2 5 = 1 8                                                                                                                       STEP 3: Subtract  2 5   from both sides of the equation

11x+25=18

1 1 + 2 5 − 2 5 = 1 8 − 2 5

STEP 4: Simplify  by subtracting the numbers

1 1 + 2 5 − 2 5 = 1 8 − 2 5

11x+25−25=18−25                                                                                                   1 1 = 1 8 − 2 5                                                                                                                                   1 1 =  -7

STEP 5: Divide both sides of the equation by the same term                                                     1 1 = − 7                                                                                                                         11x/ 11x = −7/ 1 1 (set up as a fraction)                                                                       STEP 6: Cancel terms that are in both the numerator and denominator

=  − 7 /1 1                                                                                                                      SOLUTION

=  − 7 /1 1

5 0
3 years ago
6) Allison is opening up a jewelry business. She spent $56 on supplies. After $77 in sales to customers,
liraira [26]

Answer:

1 she spent 133

2 12 yd

3 his sister is 79 meters below him

4 the temp raised by 33 degrees

5 she has 92$ in her bank account

Step-by-step explanation:

8 0
3 years ago
Write the equation of the line parallel to y=3x-2 that passes through (3, 2) in point-slope form
AleksandrR [38]
Substitute the x and y values from (3,2).

Formula: y=mx+b

2= 3(3)+b
2-9= -7

y=3x-7
5 0
3 years ago
Jose's monthly bank statement showed the following deposits and withdrawals:
cestrela7 [59]

Answer:

$147.01

Step-by-step explanation:

$58.64 - $32.50 is $26.14

$26.14 + 46.25 is $72.39

$72.39 - ($16.04+$7.50) is $48.85

Lastly, 48.85 + $98.16 = $147.01

8 0
2 years ago
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