3x+2y=19
x+y=8
ayuden por favor

Answers

Answer 1

Answer: 3x + 2y = 19
x + y = 8

3 (x + y) = 3 (8)
3x + 3y = 24

3x + 2y = 19
-
3x + 3y = 24
--------------------
-y = -5
y= 5

x + y = 8
x + 5 = 8
x = 3

(3, 5)

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The yard behind the Cindy’s house is rectangular in shape and has a perimeter of 72 feet. If the length l of the yard is 18 feet longer than the width w of the yard, what is the area of the yard, in square feet?

Answers

let
L----------> the length of the yard
W--------> the width l of the yard

we know that
the perimeter is equal to
$P=2*[W+L]$
$72=2*[W+L] \n 36=W+L$ --------> equation 1
$L=W+18$ ------> equation 2
substitute equation 2 in equation 1
$36=W+18+W \n 36=2W+18 \n W=(36-18)/2$
$W=9 ft$
$L=W+18 \n L=9+18 \n L=27 ft$

we know that
Area of the rectangular yard is equal to
$A=L*W \n A=27*9 \n A=243 ft^(2)$

Answer:

$2187\text{ ft}^2$

Step-by-step explanation:

Let l be the length and w be the width of yard behind Cindy's house.

We have been given that the length of the yard is 18 feet longer than the width of the yard. We can represent this information in an equation as:

$l=w+18...(1)$

We have been also given that the perimeter of the yard is 72 feet. Since perimeter of a rectangle is 2 times the sum of its length and width, so we can represent this information in an equation as:

$2(l+w)=72...(2)$

Dividing both sides of equation (2) by 2 we will get,

$l+w=36...(2)$

Substituting equation (1) in equation (2) we will get,

$w+18+w=36$

$2w+18=36$

$2w+18-18=36-18$

$2w=18$

$(2w)/(2)=(18)/(2)$

$w=9$

Upon substituting $w=9$ in equation (1) we will get,

$l=9+18$

$l=27$

$\text{Area of rectangle}=l\cdot w$

$\text{Area of rectangle}=27\text{ yards}\cdot 9\text{ yards}$

$\text{Area of rectangle}=243\text{ yards}^2$

Now, we need to convert the area of rectangle form square yards to square feet.

$1\text{ yards}^2=\text{9 foot}^2$

$243\text{ yards}^2=243* \text{9 foot}^2$

$243\text{ yards}^2=2187\text{ foot}^2$

Therefore, the area of yard behind Cindy's house is 2187 square feet.

Which function has the greatest y-intercept?

Answers

Answer:

The function f(x) has the greatest y-intercept. Option 1 is correct.

Step-by-step explanation:

The first function is

$f(x)=4x+5$

Substitute x=0 in the given function, to find the y-intercept.

$f(0)=4(0)+5=5$

The y-intercept of f(x) is 5.

From the given graph it is clear that the y-intercept of g(x) is 2.

The third function is

$h(x)=3\sin (2x+\pi)-2$

Substitute x=0 in the given function, to find the y-intercept.

$h(x)=3\sin (2(0)+\pi)-2$

$h(x)=3\sin (\pi)-2$

$h(x)=3(0)-2$

$h(x)=-2$

The y-intercept of h(x) is -2.

$5>2>-2$

Therefore the function f(x) has the greatest y-intercept. Option 1 is correct.

Final answer:

The greatest y-intercept in a function refers to the function that intersects the y-axis at the highest point. We can determine this by checking the 'b' term in the equation y = mx + b.

Explanation:

To determine which function has the greatest y-intercept, you would need to examine the 'b' term in the equation y = mx + b, which represents the y-intercept. This is the point where the function intersects the y-axis. In other words, it's the y-value where the function begins. For example, within the information provided, 'ŷ-266.8863 + 0.1656x' seems to have the largest y-intercept at 266.8863.

Now consider having graphs of multiple functions; the one that intersects the y-axis at the highest point (the largest y-value) has the greatest y-intercept.

For straight lines, their slope remains the same along the line (as demonstrated in the mention of 'Figure A1 Slope and the Algebra of Straight Lines'). It's the y-intercept that determines where on the y-axis the line begins, helping us distinguish one line from another if their slopes are identical.

Learn more about y-intercept here:

brainly.com/question/34923499

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What is the value of the expression 9×4−(2×12)? Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

9x4-(2x12)

= 36-24

= 12

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What do these all mean???

Answers

They all are from the cryllic alphabet. Hope this helped!

During which stage of engine operation does the burning mixture of air and fuel force the piston downward? A. Compression
B. Ignition
C. Power
D. Exhaust