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STALIN [3.7K]
3 years ago
8

Write the linear inequality shown in the graph. The gray area represents the shaded region.

Mathematics
2 answers:
Ganezh [65]3 years ago
5 0

Let's start by finding the equation of the line

We can note from the graph that the x and y intercepts are (4,0) and (0,4)

The slope m= -1

The equation is given by (y-y1)=m(x-x1) (y-0) = -1( x-4) y=-x+4 Now need to find the inequalitylets pick a point from the gray region (2,0) and plug in our equation[tex] [tex] 0=-2+4[\tex] [tex]0\leq 2[\tex]

[tex]y\leq -x+4[\tex]

Hence the correct answer is option 4

I am Lyosha [343]3 years ago
5 0

Answer:

the answer is D

Step-by-step explanation:

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1. -168 < -12a
kotegsom [21]

Answer:

See step by step explanation

Step-by-step explanation:

1. a<14

2. m </ 25

3. n >/ 7

6 0
3 years ago
Read 2 more answers
Solve <br> 13=d÷6<br><br> .Plz answer ASAP
maw [93]
Hi love...

The correct answer after solving for d is D=78. That’s a quick answer, but I can give you steps on how to solve.

1. Simplify both sides of the equation

2. Isolate the variable

3. Simplify

Then you’d have the answer!

Please let me know if you need further assistance! Have a jolly evening.
~Brooke❤️
7 0
3 years ago
Busca dos números consecutivos de manera que la diferencia de sus cuadrados sea 19
deff fn [24]
The numbers are 9 and 10.

Let x be the first number.  Since they are consecutive, this means (x+1) represents the second number.

The square of x is x².  The square of (x+1) is
(x+1)²=(x+1)(x+1)=x²+1x+1x+1=x²+2x+1

The difference of these squares would be given by
x²+2x+1 - x²

Setting this equal to 19,
x²+2x+1 - x² = 19

Combining like terms,
2x+1=19

Subtract 1 from each side:
2x+1-1=19-1
2x=18

Divide both sides by 2:
2x/2 = 18/2
x = 9

The first number, x, is 9.  This means the second number, x+1, is 9+1=10.
4 0
4 years ago
Find the area of the trapezoid
dangina [55]

it is 12 cm because look at the sides put the triangles next too eachother it make a rectangle and do the standard parallelagram equation base times hight it is 12

7 0
4 years ago
On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = (\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})

OP.Cosθ = 1×Cosθ = \frac{1}{\sqrt{2}}

Cosθ = \frac{1}{\sqrt{2}}

θ = \frac{\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -\frac{1}{\sqrt{2}}

Sinθ = -\frac{1}{\sqrt{2} }

θ = \frac{5\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integer

Common value of θ will be, θ = \frac{7\pi }{4}

Option B will be the answer.

5 0
3 years ago
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