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cupoosta [38]
3 years ago
9

Which linear inequality is represented by the graph?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Answer: y<-3x+4

Step-by-step explanation:

Option 4 (D)

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3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is
madam [21]

Answer:

  ABCD is a rhombus

Step-by-step explanation:

Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...

  AB = CD

  2x +1 = 3x -11

  12 = x . . . . . . . . add 11-2x to both sides

Sides AB and CD have length ...

  2x +1 = 2(12) +1 = 24 +1 = 25

Then the length of side AD is ...

  AD = x +13 = 12 +13 = 25

Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.

3 0
2 years ago
Identify the vertex for the graph of y = 2x2 + 8x − 3. (2, 21) (2, 17) (−2, −11) (−2, −27)
Finger [1]
\bf \textit{vertex of a vertical parabola, using coefficients}&#10;\\\\&#10;\begin{array}{lcccl}&#10;y = & 2x^2& +8x& -3\\&#10;&\uparrow &\uparrow &\uparrow \\&#10;&a&b&c&#10;\end{array}&#10;\qquad &#10;\left(-\cfrac{ b}{2 a}\quad ,\quad   c-\cfrac{ b^2}{4 a}\right)&#10;\\\\\\&#10;\left( -\cfrac{8}{2(2)}~~,~~-3-\cfrac{8^2}{4(2)} \right)\implies \left( \cfrac{-8}{4}~~,~~-3-\cfrac{64}{8} \right)&#10;\\\\\\&#10;\left(-2~~,~~-3-8  \right)\implies (-2~~,~~-11)
5 0
3 years ago
Read 2 more answers
5 more than a number y is -2
Nata [24]

Answer:

y + 5 = -2

Step-by-step explanation:

That would be y + 5 = -2

8 0
3 years ago
The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + xz2 + yz – 24.
jeka57 [31]
x is equal to 5 and y is equal to 29


9 0
3 years ago
Read 2 more answers
Which of the following line passes through point (-4,5) and is parallel to the line segment whose endpoints are at (-2,-3) and (
NNADVOKAT [17]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

Then, the requested line will have a slope equal to:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5 - (- 3)} {2 - (- 2)} = \frac {5 +3} {2 + 2} = \frac {8} {4} = 2

Thus, the line is of the form:

y = 2x + b

We substitute point (-4,5)and find "b":

5 = 2 (-4) + b\\5 = -8 + b\\5 + 8 = b\\b = 13

Finally, the equation is:

y = 2x + 13

Answer:

y = 2x + 13

8 0
3 years ago
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