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3 years ago

For questions 5 and 6, solve the system using the Elimination method.

Mathematics

1 answer:

beks73 [17]3 years ago

3 0

Answer:

$\boxed{x = 7~~and~~y = -3}$

Step-by-step explanation:

5x + 3y = 26 (times 6) 30x + 18y = 156

6x + 7y = 21 (times 5) 30x + 35y = 105

30x + 18y = 156

30x + 35y = 105

-17y = 51

$y = \frac{51}{-17}$

y = -3

Substitute the value of y to one of equations

6x + 7y = 21

6x + 7(-3) = 21

6x - 21 = 21

6x = 21 + 21

6x = 42

$x = \frac{42}{6}$

x = 7

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9 (9m+3t)= simplify pls

Aleks04 [339]

Answer:

81m+27t

Step-by-step explanation:

We need to distribute the 9 to the terms inside the parentheses:

9(9m+3t)=9(9m)+9(3t)=81m+27t

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If the area of a square with side x is equal to the area of a triangle with base x, then find the altitude of the triangle.

zhannawk [14.2K]

Answer:

$h= 2x$

Step-by-step explanation:

Given

Square

$Side = x$

Triangle

$Base = x$

$Altitude = h$

Required

Find h, if both shapes have the same area

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$Area = x^2$

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$x^2 = \frac{1}{2} * x*h$

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$2x = h$

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2 years ago

Write a number with the digit 8 in the tens place

maxonik [38]

A number in the tens place 84

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2 years ago

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F(x) = -3x+17 and g(x) = x^2 -6 find g(5)-f(5)

aniked [119]

Answer:

For the given functions, the value of g(5)-f(5) = 17

Step-by-step explanation:

Here, the given functions are:

f(x) = -3x + 17

$g(x) = x ^2 - 6$

So, f(5) = -3(5) + 17

= -15 + 17 = 2

And $g(5) = (5)^2 - 6 = 25 - 6 = 19$

So, f(5) = 2 and g(5) = 19

⇒g(5) - f(5) = 19 - 2 = 17

Hence, for the given functions, the value of g(5)-f(5) = 17

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makkiz [27]

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