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4 years ago

Which shape can have only one symmetry line?

Mathematics

2 answers:

Goshia [24]4 years ago

5 0

Isosceles Triangle(two sides equal, two angles equal)1 Line of Symmetry.

zvonat [6]4 years ago

3 0

An isosceles triangle

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Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 7x2 + xy + 7y2 = 15, (1, 1

riadik2000 [5.3K]

Assume $y=y(x)$ .

$7x^2+xy+7y^2=15$
$\dfrac{\mathrm d}{\mathrm dx}[7x^2+xy+7y^2]=\dfrac{\mathrm d}{\mathrm dx}[15]$
$14x+y+x\dfrac{\mathrm dy}{\mathrm dx}+14y\dfrac{\mathrm dy}{\mathrm dx}=0$
$\dfrac{\mathrm dy}{\mathrm dx}(x+14y)=-(14x+y)$
$\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac{14x+y}{x+14y}$

The slope of the tangent line to the curve at $(a,b)$ is then $-\dfrac{14a+b}{a+14b}$ , so the tangent to $(1,1)$ has slope

$\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=-\dfrac{15}{15}=-1$

The point-slope form of the tangent line is then

$y-1=-(x-1)\iff y=-x+2$

7 0

3 years ago

A ball is thrown off the roof of the school. Its path can be described by the equation: h(t) = -2t^2 + 8t + 10, where h is heigh

zimovet [89]

Answer:

10 meters

Step-by-step explanation:

The given function $h(t)=-2t^2+8t+10$ represents the height, $h$ , in meters, $t$ seconds after the ball is thrown.

Since the ball is thrown off the roof, then ball's height will be equal to the roof's height before being thrown (0 seconds). Therefore, substitute $t=0$ into the given function $h(t)=-2t^2+8t+10$ :

$h(0)=-2(0^2)+8(0)+10,\\h(0)=0+0+10,\\h(0)=\boxed{10\text{ meters}}$

Therefore, the building is 10 meters tall.

8 0

3 years ago

the perimeter of a right angled triangle is 60 cm and its area is 120cm².find the lengths of the triangle.

vredina [299]

Step-by-step explanation:

The area of triangle given as 120 cm2

Area of Triangle = 1/2 x b x h = 120

therefore bxh = 240

240 can be factorized as 10 x 24

The perimeter of the triangle is given as 60

so the other side has to be 26 cm

As this is a right angle triangle it should satisfy pythagoras theorem

(10)2 + (24)2 = (26)2

100+576 =676

Hence the sides of the triangle are 10 cm, 24 cm and 26 cm

3 0

3 years ago

Type the expression that results from the following series of steps:

d1i1m1o1n [39]

Answer:

(x-6)3

hope it helps

4 0

3 years ago

Read 2 more answers

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults. The number of adult tickets sold was 195 more than the n

Maurinko [17]

Answer: number of tickets sold to adult = 566

Step-by-step explanation:

Let x = number of tickets sold by DCHS to students.

Let y = number of tickets sold DCHS to adults.

Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.

This means cost of total tickets sold to students and adults is $3x and $5y respectively.

If DCHS collected $3943 for the tickets, then we have

3x + 5y = 3943 - - - - - -1

The number of adult tickets sold was 195 more than the number of student tickets. This means

y = x +195.

Put y = x +195 in equation 1

3x + 5(x+195) = 3943

3x + 5x + 975= 3943

8x +975=3943

8x = 3943-975= 2968

x = 2968/8 = 371

y = 371 + 195= 566

4 0

4 years ago