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worty [1.4K]
3 years ago
7

Which of the following is false?

Mathematics
2 answers:
yuradex [85]3 years ago
5 0
A triangle can be draw with exactly one acute angle
Vladimir [108]3 years ago
4 0
A triangle can be drawn with exactly one acute angle is false (assuming the triangle is drawn on a 2-dimensional plane).
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Let P be the parabola with focus (0,4) and directrix y=x.Write an equation whose graph is a parabola with a vertical directrix t
prisoha [69]

Answer:

y²=4√2.x

Step-by-step explanation:

The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.

The distance between the focus and the directrix of the parabola P is

\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2}  } }=\frac{4}{\sqrt{2} }

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by \frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2}  } } }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

{Since the parabola has vertical directrix}

Hence, the distance between focus and the directrix is 2a = \frac{4}{\sqrt{2} }, {Two parabolas are congruent when the distances between their focus and the directrix are same}

⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

3 0
3 years ago
What is the expression
timofeeve [1]
-9r^2-2r+r^2+r=(-9r^2+r^2)+(-2r+r)=-8r^2-r\to B.
7 0
3 years ago
For what value of x does 3^2X = 9^3x-4?
Amanda [17]

Answer:

the answer is x=2.

Step-by-step explanation:

study

8 0
2 years ago
Read 2 more answers
The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Drupady [299]

Answer:

y = x - 1

Step-by-step explanation:

y=mx+b

b= y-intercept

m= slope  

7 0
2 years ago
Solve for x (round to the nearest degree)
aev [14]

Answer:

Step-by-step explanation:

Sin x = opp/hyp

Sin x = 4/7

Sin x = 0.5714

X =sin-¹(0.5714)

X = 34.8

X = 35°

8 0
3 years ago
Read 2 more answers
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