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S_A_V [24]
3 years ago
8

Solve 3x-18=2y and 5x-6y=14 by elimination or substitution . SHOW ALL WORK!!!

Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Answer:

3x - 18 = 2y

5x - 6y = 14

5x - 3*(2y) = 14

5x - 3*(3x - 18) = 14

5x - 9x + 54 = 14

-4x = -40

x = 10

3*10 - 18 = 2y

30 - 18 = 2y

12 = 2y

y = 6



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For EF in triangle EFG, what is the corresponding segment in similar triangle HFG?
7nadin3 [17]

Answer:

HF

Step-by-step explanation:

5 0
3 years ago
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12a2 + 4b for a = 8 &amp; b = -6.<br> PLease help
ololo11 [35]

Answer:

744

Step-by-step explanation:

12a^2 + 4b

Plug-in:

12(8)^2 + 4(-6)

12(64) + 4(-6)

768 - 24

744

4 0
3 years ago
Determine the intercepts of the line.<br> Do not round your answers.<br> y=-2x-21y=−2x−21
Neko [114]

Answer:

x(-10.5,0)

y.(0,-21)

Step-by-step explanation:

I just took the test and got 100% correct trust me

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3 years ago
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Find a set of parametric equations for y= 5x + 11, given the parameter t= 2 – x
Sati [7]

Answer:

x = 2-t and y = -5\cdot t +21

Step-by-step explanation:

Given that y = 5\cdot x + 11 and t = 2-x, the parametric equations are obtained by algebraic means:

1) t = 2-x Given

2) y = 5\cdot x +11 Given

3) y = 5\cdot (x\cdot 1)+11 Associative and modulative properties

4) y = 5\cdot \left[(-1)^{-1} \cdot (-1)\right]\cdot x +11 Existence of multiplicative inverse/Commutative property

5) y = [5\cdot (-1)^{-1}]\cdot [(-1)\cdot x]+11 Associative property

6) y = -5\cdot (-x)+11  \frac{a}{-b} = -\frac{a}{b} / (-1)\cdot a = -a

7) y = -5\cdot (-x+0)+11 Modulative property

8) y = -5\cdot [-x + 2 + (-2)]+11 Existence of additive inverse

9) y = -5 \cdot [(2-x)+(-2)]+11 Associative and commutative properties

10) y = (-5)\cdot (2-x) + (-5)\cdot (-2) +11 Distributive property

11) y = (-5)\cdot (2-x) +21 (-a)\cdot (-b) = a\cdot b

12) y = (-5)\cdot t +21 By 1)

13) y = -5\cdot t +21 (-a)\cdot b = -a \cdot b/Result

14) t+x = (2-x)+x Compatibility with addition

15) t +(-t) +x = (2-x)+x +(-t) Compatibility with addition

16) [t+(-t)]+x= 2 + [x+(-x)]+(-t) Associative property

17) 0+x = (2 + 0) +(-t) Associative property

18) x = 2-t Associative and commutative properties/Definition of subtraction/Result

In consequence, the right answer is x = 2-t and y = -5\cdot t +21.

5 0
3 years ago
What is p?<br><br> 7 1/5+p+4 9/10+3 3/20=19 1/10
Yakvenalex [24]
ANSWER:
7 \frac{1}{5}+p+4 \frac{9}{10}+3 \frac{3}{20} =19 \frac{1}{10} \\ 7 \frac{4}{20}+p+4 \frac{18}{20} + 3 \frac{3}{20}=19 \frac{2}{20}  \\ p=19 \frac{2}{20}- (7 \frac{4}{20}+4 \frac{18}{20} + 3 \frac{3}{20})  \\ p=19 \frac{2}{20}-15 \frac{5}{20} \\ p=3\frac{17}{20}  
6 0
3 years ago
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