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2 years ago

Which graph correctly represents x + 2y ≤ 4?

Mathematics

1 answer:

Artyom0805 [142]2 years ago

8 0

The answer is y < -x/2 + 2 hope this helped you
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An architect wants to draw a rectangle with a diagonal of 15 centimeters. The length of the rectangle is to be 6 centimeters mor

S_A_V [24]

Answer:

She should make a rectangle with dimensions 14.4 cm by 4.2 cm.

Step-by-step explanation:

The diagonal of a rectangle is represented by $\sqrt{length^2+width^2}$ .
Area of rectangle is = length×width
Perimeter of a rectangle = 2(length+width).

Assume x be the width of the rectangle.

The length of the rectangle is to be 6 cm more than twice the width.

The length of the rectangle is= (2x+6) cm

Then the diagonal of the rectangle is $\sqrt{length^2+width^2}$

$=\sqrt{(2x+6)^2+x^2}$

$=\sqrt{4x^2+24x+36+x^2}$

$=\sqrt{5x^2+24x+36}$ cm

According to the problem,

$\sqrt{5x^2+24x+36}=15$

Squaring both sides

$\Rightarrow{5x^2+24x+36}=15^2$

$\Rightarrow{5x^2+24x+36}=225$

$\Rightarrow{5x^2+24x+36-225=0$

$\Rightarrow{5x^2+24x-189=0$

⇒5x²+45x-21x-189=0

⇒5x(x+9)-21(x+9)=0

⇒(x+9)(5x-21)=0

⇒x+9=0 or, 5x-21=0

$\Rightarrow x=-9, \frac{21}5$

⇒x= -9, 4.2

Since the width of a rectangle can not negative.

So, x=4.2 cm

The width of rectangle is = 4.2 cm

The length of the rectangle is =(2×4.2+6)

=14.4 cm

She should make a rectangle with dimensions 14.4 cm by 4.2 cm.

8 0

2 years ago

DaniilM [7]

Answer:

hi so im jeff wanna be my friends

Step-by-step explanation:

4 0

2 years ago

Solve the system of equations by graphing.

valentinak56 [21]

The answer is A.

The way you know this is by graphing the first function.

The second function is in a different format, so you just have to isolate Y.

-1/3x + y = -1
y= 1/3x -1 OR y= -1 + 1/3x

both of the functions have the same slope, but different y-intercepts. therefore, they'll never touch. making them infinite solutions.

it's also A because both of the slopes are positive, the slopes in graph D are negative.

So, the answer is A.

Hope this helps! xx

4 0

3 years ago

ABCD is a square. M is the midpoint of BC and N is the midpoint of CD. A point is selected at random in the square. Calculate th

almond37 [142]

Answer:

1/8 or 0.125

Step-by-step explanation:

Let x be the length of the sides of the square ABCD.

Therefore, the length of CN and CM is x/2.

The area of the triangle MCN is:

$A_t = \frac{0.5x*0.5x}{2}=\frac{x^2}{8}$