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3 years ago

Which construction is illustrated above?

Mathematics

2 answers:

Leni [432]3 years ago

6 0

Answer:

The construction is a parallel line to a given line from a point not on the line.

Step-by-step explanation:

For a given figure,

To construct a parallel line

Step 1 : Draw transversal line through any point not on line which is given.

Step 2: Using construction copy an angle, construct same angle formed by transversal line and given line.

Step 3: This is the last step in which when the copy of an angle completed draw a line parallel to the line.

grandymaker [24]3 years ago

5 0

Pretty sure it is A - a parallel line to a given line from a point not on the line

I'm working on the same test :)

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What is the result of substituting for y in the bottom equation y=x+3 y=x^2+2x-4

8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

Solution:

Given that,

$y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4 ----- eqn 2$

We have to substitute eqn 1 in eqn 2

$x + 3 = x^2 + 2x - 4$

$\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0$

$\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}$

$x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}$

$x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925$

$Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925$

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

6 0

3 years ago

Figure FGHJ is shown below.

Mumz [18]

Answer:

quadilateral and parallelogram

Step-by-step explanation:

Find the diagram attached.

The given four is known to have 4 sides and sicne quadilaterals are figures having four side, hence the given figure is a quadilateral. The example of the quadilateral is a parallelogram since opposite sides of the quadilateral are equal.

The names that accurately descbes the figure are quadilateral and parallelogram

3 0

2 years ago

Read 2 more answers

PLEASE HELP QUESTION IS WORTH 16 POINTS I WILL GET AN F IF INCORRECT

Alborosie

Answer:

Step-by-step explanation:

5 0

3 years ago

.…: need this answers.....

Leto [7]

Sorry, cannot just give you answers without your input.
I'd suggest that you look up online or in your textbook each of the items under "Type of Boundary." The results you'd get will likely help you fill in the rest of the boxes.

3 0

2 years ago

What is another way to write the absolute inequality |p|<12?

GaryK [48]

Answer:

$-12$

Step-by-step explanation:

$\left|p\right|$

The interval notation is (-12, 12).

$-12$

7 0

2 years ago