11
The coordinates of the triangle are A(0, 3), B(6,0), C(0, -3), determine the coordinates of its
image after a dilation of 1/3 as a scale factor. *
(2 Points)
O A'(0, -3), B'(-6, 0), C'(0,3)
O A'(0, 1), B (2.0), C'(0, -1)
O A'(0, -1), B'(-2, 0), C'(0, 1)

Answer:

32 times

Step-by-step explanation:

4/5:x/40 ----x=32

Answer:

Step-by-step explanation:

x²-2x=-26

add both sides (-2/2)² or 1

x²-2x+1=-26+1

x²-2x+1=-25

(x-1)²=25×-1

(x-1)²=5²×i²=(5i)²

x-1=±5i

x=1±5i

Answer:

146 whistles

Step-by-step explanation:

First, convert 122 feet to inches, by multiplying it by 12

122(12)

= 1464

Divide this by 10 to find how many whistles he can make

1464/10

= 146.4

Since we can only have a whole number of whistles, we have to round down to 146.

So, he can make 146 whistles

Answer:

Answer is D line HJ

Step-by-step explanation:

100% correct

Answer:

d

Step-by-step explanation:

trust me

Answer:

a) The golf ball reaches a height of 64 feet.

b) The golf ball will take 2 seconds to reach maximum height.

c) The golf ball will take 4 seconds to land after being hit.

d) The golf ball will be 48 feet above ground 1 and 3 seconds after being hit.

Step-by-step explanation:

a) The parabolic motion of the golf ball is described by a second order polynomial, that is, the equation of the parabola. To determine the maximum height of the golf ball, we need to transform the equation of the parabola given into vertex form:

[tex]h = -16\cdot (t^{2}-4\cdot t)[/tex]

[tex]h - 64 = -16\cdot (t^{2}-4\cdot t + 4)[/tex]

[tex]h - 64 = -16\cdot (t-2)^{2}[/tex]

From this form we can obtain relevant information of the maximum height of the golf ball, contained in the left side of the equation. On this approach, we conclude that the golf ball reaches a height of 64 feet.

b) The time taken by the golf ball is contained in the right side of the formula. That is, the golf ball will take 2 seconds to reach maximum height.

c) In this case, we need to factor the polynomial to find right times, that is:

[tex]h = 64\cdot t - 16\cdot t^{2}[/tex]

[tex]h = 16\cdot t \cdot (4 - t)[/tex]

The time taken by the golf ball to land is contained in the second binomial. In a nutshell, the golf ball will take 4 seconds to land after being hit.

d) If we know that [tex]h = 48[/tex], the time taken by the golf ball to be 48 feet above the ground is:

[tex]64\cdot t - 16\cdot t^{2} = 48[/tex]

[tex]16\cdot t^{2}-64\cdot t +48 = 0[/tex]

By Quadratic Formula, we have the following roots:

[tex]t_{1} = 3[/tex], [tex]t_{1} = 1[/tex]

The golf ball will be 48 feet above ground 1 and 3 seconds after being hit.

Answer:

$270

Step-by-step explanation:

35%= 0.35

200*0.35 =70

He saves $70 more.

Altogether saves $270

Answer:

x < 19

Step-by-step explanation:

Given that,

An inequality 2x - 5 < 33.

LHS of the inequality is 2x - 5

RHS of the inequality is 33

LHS < RHS

i.e.

2x - 5 < 33

Add 5 to both sides of the inequality

2x - 5 +5 < 33+5

2x < 38

Divide both sides by 2.

x < 19

So, the value of x is less than 19.

Answer:

sin 47° = 0.731

Step-by-step explanation:

the complementary angle to 43° is 47°

sin 47° = 0.731

Answer:

0.731

Step-by-step explanation:

Because of the identity

cos x = sin(90-x).

Answer:

16

Step-by-step explanation:

here's your solution

=> The given traingle is Right angle traingle

so, hypotenuse^2 = Base^2 + Height^2

=> x^2+12^2 = 20^2

=> x^2 + 144 = 400

=> x^2 = 400 - 144

=> x^2 = 256

=> x = √256

=> x = 16

hope it helps

Answer:

1. 48

2. 45

3. 32

4. B

Step-by-step explanation: Hope this help :D

Answer:

-1.52

Step-by-step explanation:

-2+0.48=-1.52

Answer:

B -13

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

hope it helps you.good day

Answer:

D obtuse *********************

Answer:

the leg is 6.9

Step-by-step explanation:

use the reverse Pythagorean therm

find the square root of 8(squared) - 4(squared) =6.9

Answer:

English and French:40 and English:10

Step-by-step explanation:

English and French:4÷5×50

=40

English:1÷10×50

=10

Answer:

Step-by-step explanation:

Answer:

(-0.607 ; 1.757)

Step-by-step explanation:

Student: __ 1 ___ 2 ___ 3 ___ 4

Fall _____2.6__ 3.0__ 1.5 __1.4

Spring___ 1.7__ 2.2 __1.4 __0.90

Using calculator :

Fall:

Xbar1 = 2.125

Sample size, n1 = 4

Standard deviation, s1 = 0.8

Spring :

Xbar2 = 1.55

Sample size, n2 = 4

Standard deviation, s2 = 0.54

Confidence interval :

(xbar1 - xbar2) ± Tcritical * Sp* √1/n1 + 1/n2

Sp = √[(df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)]

df = n - 1

(xbar1 - xbar2) = 2.125 -1.55 = 0.575

Hence,

Sp = √(((3*0.8^2) + (3*0.54^2)) / 6)

Sp= √2.7948 ÷ 6

Sp = √0.4658

Sp= 0.682

Tcritical at 95%, df = 4 = 2.45

Error margin = 2.45 * 0.682 * √1/4 + 1/4 = 1.182

Confidence Interval:

Lower boundary = 0.575 -1.182 = -0.607

Upper boundary = 0.575 + 1.182 = 1.757

(-0.607 ; 1.757)

Step-by-step explanation:

ratio 6:8

376+336=712

6+8=14

712/14=50.86

haircut= 50.86*6=305.16

colour= 50.86*8=406.88

i hope this helps

Answer:

5.5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The theorem we use for this is

[tex]a(a + b) = c(c + d)[/tex]

Solve for d.

[tex]a(a + b) = c { }^{2} + cd[/tex]

[tex]a(a + b) - {c}^{2} [/tex]

[tex] \frac{a(a + b) - {c}^{2} }{c} [/tex]

A is the answer

Use Heron's formula.

A = sqrt{(s - a)*s - b)(s - c)}, where a, b, and c represent the sides of the triangle.

We need to find s first.

So, s = (a + b + c)/2.

s = (13 + 6 + 9)/2

s = 28/2

s = 14

We now plug everything into the Heron's area formula.

A = sqrt{(14 - 13)(14 - 9)(14 -6)}

A = sqrt{(1)(5)(8)}

A = sqrt{40}

A = 6.3245553203

Let us now round to one decimal place as instructed. We round to the tenths place, in other words.

A = 6.3 cm^2

Did you follow?

Answer:

119

Step-by-step explanation:

14x17 = 238)/2

Answer:

x = 63.43...

Step-by-step explanation:

Ok, so the angle x is the same measure as the bottom right angle of the triangle because the bottom of the triangle and the dashed line are parallel. Knowing this we can simply solve for the bottom right angle and it will be the same as angle x.

To do this we can set up and equation with tangent because we are working with the opposite and adjacent sides of the triangle.

[tex]Tan(x) = \frac{opposite}{adjacent} = \frac{50}{25} = 2[/tex]

[tex]Tan(x)=2\\[/tex]

Now to isolate the variable, we can simply use the cotangent or inverse tangent.

[tex]Tan^{-1}(Tan(x)) = Tan^{-1}(2)\\x = Tan^{-1}(2)\\x = 63.43...[/tex]

Answer:

So you have spent 100 hundred dollars at the mall and you have no money on your bank account so the bank wants you to return that money and so you did and now you are not in dept. to the bank

Step-by-step explanation:

Answer:

Only 2

Step-by-step explanation:

1 is a binomial.

2 is a trinomial, and the first and last numbers are perfect squares (1 and 16)

Answer:

c

Step-by-step explanation:

it is non real if x²-36<0

x²<36

|x|<6

so -6<x<6

Answer

59

Step-by-step explanation:

59

Corresponding angles on parallel lines cut by a transversal are equal

5x + 30 = 3x + 60

Subtract 3x from both sides

2x + 30 = 60

Subtract 30 from both sides

2x = 30

Divide both sides by 2

X = 15