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3 years ago

Which of the following statements is true?

Mathematics

2 answers:

ra1l [238]3 years ago

7 0

Ur answer is B............!!!!!!

Hope its right!!

Studentka2010 [4]3 years ago

5 0

Answer:

Option D is right.

Step-by-step explanation:

Given are four statements and we have to find which one is true.

A) 15 is not a perfect square and hence square root of 15 is not rational. Incorrect.

B) While 15 has irrational root 0.0001 is the square of 0.01 hence the square root of second is rational hence incorrect

C) Since 15 is not a perfect square and hence square root of 15 is not rational. Incorrect

D) The square root of 15 is irrational and the square root of 0.001 is rational.

is the only correct option

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What is the equation in point slope form of a line that passes through the point (–8, 2) and has a slope of 1/2?

Kamila [148]

Point slope equation:
y-y1=m(x-x1)
m=slope

So we simply plug in our given information:
x1=-8
y1=2
m=1/2

y-2=1/2(x-(-8)

2 minus signs next to each other make a positive

Final answer:
y-2=1/2(x+8)

6 0

3 years ago

PLEASE ANSWER ASASSP!!!!!!!!!!!!!!!!!!!!<br> Sovle the equation<br> 6 (y + 1.5) = -18<br> What is y?

Ede4ka [16]

Answer:

6(y+1.5)=-18

6y+9=-18 -9

6y=-27 ÷6

y=-4.5

Step-by-step explanation:

prove me wrong

7 0

2 years ago

Read 2 more answers

A triangle has a perimeter of 90 centimeters write and use a linear system

lawyer [7]

We are given sides of the triangle by expression

First side : n

Second side : m = 5n-5.

Third side : l = 5/4 m - n.

Perimeter is 90.

Therefore, first equation could be set :

n +m +l = 90 --------------equation(1)

Second equation would be

m = 5n-5 --------------equation(2)

Third equation would be

l = 5/4 m - n --------------equation(3)

Let us solve the system of equations by substitution.

Substituting m = 5n-5 and l = 5/4 m - n in first equation.

We get

n +5n-5 +5/4 m - n= 90

Now, substituting m = 5n-5 in above equation we get

n +5n-5 +5/4 (5n-5) - n= 90

5n + 25n/4 -5 - 25/4 =90

5n + 6.25n -5-6.25 = 90.

11.25n-11.25 = 90

Adding 11.25 on both sides, we get

11.25n-11.25+11.25 = 90+11.25

11.25n = 101.25.

Dividing both sides by 11.25, we get

n=9.

Plugging n=9 in 2nd equation.

m = 5(9)-5 = 45 -5 = 40.

Plugging n=9 and m=40 in first equation, we get

9 +40 +l = 90

49 +l = 90.

Subtracting 49 from both sides, we get

49-49 +l = 90-49

l = 41.

Therefore, sides are of lengths l = 41, m= 40 and n=9.

5 0

3 years ago

The watch at Macys is $400. The store is having a sale and everything is 30% off. What is the discount amount?

sweet-ann [11.9K]

The answer would be $280.00 and that’s just simple as that :)

3 0

2 years ago

Read 2 more answers

A juggler tosses a ball into the air . The balls height, h and time t seconds can be represented by the equation h(t)= -16t^2+40

malfutka [58]

PART A

The given equation is

$h(t) = - 16 {t}^{2} + 40t + 4$

In order to find the maximum height, we write the function in the vertex form.

We factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + 4$

We add and subtract

$- 16(- \frac{5}{4} )^{2}$

to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t) + - 16( - \frac{5}{4})^{2} - -16( - \frac{5}{4})^{2} + 4$

We again factor -16 out of the first two terms to get,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4})^{2} ) - -16( - \frac{5}{4})^{2} + 4$

This implies that,

$h(t) = - 16 ({t}^{2} - \frac{5}{2} t + ( - \frac{5}{4}) ^{2} ) + 16( \frac{25}{16}) + 4$

The quadratic trinomial above is a perfect square.

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +25+ 4$

This finally simplifies to,

$h(t) = - 16 ( t- \frac{5}{4}) ^{2} +29$

The vertex of this function is

$V( \frac{5}{4} ,29)$

The y-value of the vertex is the maximum value.

Therefore the maximum value is,

$29$

PART B

When the ball hits the ground,

$h(t) = 0$

This implies that,

$- 16 ( t- \frac{5}{4}) ^{2} +29 = 0$

We add -29 to both sides to get,

$- 16 ( t- \frac{5}{4}) ^{2} = - 29$

This implies that,

$( t- \frac{5}{4}) ^{2} = \frac{29}{16}$

$t- \frac{5}{4} = \pm \sqrt{ \frac{29}{16} }$

$t = \frac{5}{4} \pm \frac{ \sqrt{29} }{4}$

$t = \frac{ 5 + \sqrt{29} }{4} = 2.60$

or

$t = \frac{ 5 - \sqrt{29} }{4} = - 0.10$

Since time cannot be negative, we discard the negative value and pick,

$t = 2.60s$

8 0

3 years ago