# The vertices of ΔXYZ are X(−3, −6), Y(21, −6), and Z(21, 4). What is the perimeter of the triangle?

QUESTION POSTED AT 05/12/2019 - 06:58 AM

QUESTION POSTED AT 05/12/2019 - 06:58 AM

For this question the answer is 2.5m (B)

You find this by: L=0.85m

W=0.4m

A rectangle had 4 sides (2 lengths and 2 widths)

So...

To find 1 length and 1 Width you do 0.85+0.4=1.25m

Now you want to find the other 2 sides (L and W)

You can do: the same method and add it to 1.25m OR...

You can do (I prefer this one): (0.85+0.4)x2=?

This is the same as 0.85+0.4=1.25

1.25x2=2.5m

You find this by: L=0.85m

W=0.4m

A rectangle had 4 sides (2 lengths and 2 widths)

So...

To find 1 length and 1 Width you do 0.85+0.4=1.25m

Now you want to find the other 2 sides (L and W)

You can do: the same method and add it to 1.25m OR...

You can do (I prefer this one): (0.85+0.4)x2=?

This is the same as 0.85+0.4=1.25

1.25x2=2.5m

ANSWERED AT 18/01/2020 - 07:41 AM

QUESTION POSTED AT 18/01/2020 - 07:41 AM

Answer is b (f(x)=-7x^2-x+2) thats the only one that follows standard form

ANSWERED AT 18/01/2020 - 07:41 AM

QUESTION POSTED AT 18/01/2020 - 07:41 AM

**Answer:**

Omar should factor out a negative from one of the groups so the binomials will be the same.

ANSWERED AT 18/01/2020 - 07:40 AM

QUESTION POSTED AT 18/01/2020 - 07:40 AM

The period of this function ( cos (bx) ):

T =

b=

Maximum tide : 9 feet (for cos value 1) f(t)=4*1 + 5 = 9

Minimum tide: 1 feet ( for cos value -1) f(t) = 4*(-1) + 5 =1

Answer: D)**f(t)= 4 cos (π/6 t) +5**

T =

b=

Maximum tide : 9 feet (for cos value 1) f(t)=4*1 + 5 = 9

Minimum tide: 1 feet ( for cos value -1) f(t) = 4*(-1) + 5 =1

Answer: D)

ANSWERED AT 18/01/2020 - 07:40 AM

QUESTION POSTED AT 18/01/2020 - 07:40 AM

**Answer : **

Given: axis of symmetry of x = –2

To find axis of symmetry we use formula

We check which equation has axis of symmetry x= -2

(1)

a=1 , b=4 so axis of symmetry

(2)

a=1 , b=-4 so axis of symmetry

(3)

a=1 , b=6 so axis of symmetry

(4)

a=-2 , b=-8 so axis of symmetry

(5)

a=-2 , b=8 so axis of symmetry

So and has axis of symmetry x=-2

ANSWERED AT 18/01/2020 - 07:37 AM

QUESTION POSTED AT 18/01/2020 - 07:37 AM

The general form for a hyperbola with the center at the origin and a vertical transverse axis is:

y2/a2 - x2/b2 = 1

From the given:

a = 12

To get b, we use the given distance between the foci.Since it's 26,

c = 26/2 = 13

Using this defintion:

c2 = a2 + b2

b = sqrt(c2 - a2) = sqrt (13^2 - 12^2) = 5

The equation therefore is:

y2/13^2 - x2/5^2 = 1

or

y2/169 - x2/25 = 1

y2/a2 - x2/b2 = 1

From the given:

a = 12

To get b, we use the given distance between the foci.Since it's 26,

c = 26/2 = 13

Using this defintion:

c2 = a2 + b2

b = sqrt(c2 - a2) = sqrt (13^2 - 12^2) = 5

The equation therefore is:

y2/13^2 - x2/5^2 = 1

or

y2/169 - x2/25 = 1

ANSWERED AT 18/01/2020 - 07:36 AM

QUESTION POSTED AT 18/01/2020 - 07:36 AM

Assuming that this is just on a 2-D coordinate plane, we must convert the expressions on to a 3-D plane since translation cannot be done on a 2-D plane. This is done by adding a dummy coordinate that does not change. Let us use "1" for this case.

Matrix:

| 0 0 -2 |(x) = (x - 2)

| 0 0 4 |(y) = (y + 4)

| 0 0 1 |(1) = 1

Matrix:

| 0 0 -2 |(x) = (x - 2)

| 0 0 4 |(y) = (y + 4)

| 0 0 1 |(1) = 1

ANSWERED AT 18/01/2020 - 07:35 AM

QUESTION POSTED AT 18/01/2020 - 07:35 AM

Hi :) Firstly we look at the side that is actually the same. How many sides are there that are the same? Next, we note the number of angles that are the same.

ANSWERED AT 18/01/2020 - 07:30 AM

QUESTION POSTED AT 18/01/2020 - 07:30 AM

C is the correct answer

ANSWERED AT 18/01/2020 - 07:30 AM

QUESTION POSTED AT 18/01/2020 - 07:30 AM

**Answer:**

(4,0) I don't know how to explain.

**Step-by-step explanation:**

ANSWERED AT 18/01/2020 - 07:29 AM

QUESTION POSTED AT 18/01/2020 - 07:29 AM

Following the steps already shown to transform the given function into the vertex form, we have:

f(x) = 3(x2 - 8x + 16) + 10 - 3(16)

f(x) = 3(x - 4)(x - 4) + 10 - 48

f(x) = 3(x - 4)2 - 38

Therefore, the function written in vertex form is:

D.f(x) = 3(x – 4)2 – 38

f(x) = 3(x2 - 8x + 16) + 10 - 3(16)

f(x) = 3(x - 4)(x - 4) + 10 - 48

f(x) = 3(x - 4)2 - 38

Therefore, the function written in vertex form is:

D.f(x) = 3(x – 4)2 – 38

ANSWERED AT 18/01/2020 - 07:28 AM

QUESTION POSTED AT 18/01/2020 - 07:28 AM

**Answer:**

3

**Step-by-step explanation:**

on edguinity just look at the arrow

ANSWERED AT 18/01/2020 - 07:28 AM

QUESTION POSTED AT 18/01/2020 - 07:28 AM

Working;

The probability of picking a red is

The probability remains the same for the second picking since there is replacement;

A red followed by a red is;

ANSWERED AT 18/01/2020 - 07:24 AM

QUESTION POSTED AT 18/01/2020 - 07:24 AM

The function is already given:

f(x) = 248(1.15)^x

This is a simple case of substitution. We plug in the value of 3 to the function:

f(3) = 248 (1.15)^3

The radical term can be solved first before multiplying with 248 to get the result or a basic scientific calculator can be used to solve this:

f(3) = 377.18 (round off to 377)

Therefore, the answer is the second option:

377

f(x) = 248(1.15)^x

This is a simple case of substitution. We plug in the value of 3 to the function:

f(3) = 248 (1.15)^3

The radical term can be solved first before multiplying with 248 to get the result or a basic scientific calculator can be used to solve this:

f(3) = 377.18 (round off to 377)

Therefore, the answer is the second option:

377

ANSWERED AT 18/01/2020 - 07:23 AM

QUESTION POSTED AT 18/01/2020 - 07:23 AM

Let x be the number of times that Michael rode on the roller coaster and let y be the number of times that he rode on the boat, then:
x + y = 10 [because he went on the two rides a total of 10 times], and
4x + 3y = 37 [because a ride on a roller coaster costs 4 tickets and the boat ride costs 3 tickets and he spent a total of 37 tickets]
From the first equation, 4x + 4y = 40
subtracting the second equation from the third equation gives: y = 3, and from the first equation x = 10 - y = 10 - 3 = 7
Therefore, Michael rode on the roller coaster 7 times and on the boat 3 times.

ANSWERED AT 18/01/2020 - 07:23 AM

QUESTION POSTED AT 18/01/2020 - 07:23 AM

**Answer:**

The total number of solutions is one

**Step-by-step explanation:**

we have

To solve the system of equations equate f(x) and g(x)

The solution of the system of equations is the intersection points both graphs

Using a graphing tool

see the attached figure

The solution of x

There is only one point of intersection both graphs

therefore

The total number of solutions is one

ANSWERED AT 18/01/2020 - 07:23 AM

QUESTION POSTED AT 18/01/2020 - 07:23 AM

It would b 2/3 and the other one 2/4

ANSWERED AT 18/01/2020 - 07:23 AM

QUESTION POSTED AT 18/01/2020 - 07:23 AM

Your answer should move to the left. which takes out C and D. The only way i would say to do this is to find X first and then plug the number into g(x) to see how many units it shifts.

ANSWERED AT 18/01/2020 - 07:23 AM

QUESTION POSTED AT 18/01/2020 - 07:23 AM

**Answer:**

**59 miles per hour**

**Step-by-step explanation:**

Travis traveled 354 miles in 6 hours.

We have to calculate his unit rate of speed in miles per hour.

= 59 miles

**Travis traveled 59 miles per hour**

ANSWERED AT 18/01/2020 - 07:22 AM

QUESTION POSTED AT 18/01/2020 - 07:22 AM

**Answer:**

Any rational root of f(x) is a factor of -49 divided by a factor of 25.

**Step-by-step explanation:**

**The Rational Root Theorems states that :**

**If the polynomial has any rational roots, then they must be in the form of **

Consider the polynomial

in this case, we have and

**Any Rational root of f(x) is a factor of divided by a factor of **

ANSWERED AT 18/01/2020 - 07:18 AM

QUESTION POSTED AT 18/01/2020 - 07:18 AM

22 - (7 + 9) = 6 feet

ANSWERED AT 18/01/2020 - 07:18 AM

QUESTION POSTED AT 18/01/2020 - 07:18 AM

The perimeter is 78ft. You do 12 times 2 plus 22 time 2 because a rectangle has 2 sets of equal sides.

ANSWERED AT 18/01/2020 - 07:18 AM

QUESTION POSTED AT 18/01/2020 - 07:18 AM

The answer is d 40

by applying the cross product

by applying the cross product

ANSWERED AT 18/01/2020 - 07:16 AM

QUESTION POSTED AT 18/01/2020 - 07:16 AM

She is not correct because mixing the legs won't affect but mixing them with the hypotenuse would affect a lot.

ANSWERED AT 18/01/2020 - 07:16 AM

QUESTION POSTED AT 18/01/2020 - 07:16 AM

Ok so

for a right triangle with legs legnth a and b, and hypotnuse legnth c

a^2+b^2=c^2

hypotonuse is 13

one leg is 12

other leg is ?

a=12

b=?

c=13

sub and find ?

12^2+?^2=13^2

144+?^2=169

minus 169 both sides

?^2=25

sqrt bot sies

?=5

the legnth is 5 units

for a right triangle with legs legnth a and b, and hypotnuse legnth c

a^2+b^2=c^2

hypotonuse is 13

one leg is 12

other leg is ?

a=12

b=?

c=13

sub and find ?

12^2+?^2=13^2

144+?^2=169

minus 169 both sides

?^2=25

sqrt bot sies

?=5

the legnth is 5 units

ANSWERED AT 18/01/2020 - 07:15 AM

QUESTION POSTED AT 18/01/2020 - 07:15 AM

If you would like to know the value of the dependent variable if the value of the independent variable is - 4, you can calculate this using the following steps:

independent variable ... - 4 ... x

dependent variable ... f(x)

f(x)= -3x^2 + 5x

f(-4) = -3 * (-4)^2 + 5 * (-4) = -3 * 16 - 20 = -48 - 20 = - 68

The correct result would be C. –68.

independent variable ... - 4 ... x

dependent variable ... f(x)

f(x)= -3x^2 + 5x

f(-4) = -3 * (-4)^2 + 5 * (-4) = -3 * 16 - 20 = -48 - 20 = - 68

The correct result would be C. –68.

ANSWERED AT 18/01/2020 - 07:15 AM

QUESTION POSTED AT 18/01/2020 - 07:15 AM

**Answer:**

**5 and 6**

**Step-by-step explanation:**

We need to find that between what two numbers the fraction lies.

In order to know from the given choices between what two numbers lies, we first need to find the decimal value of .

We know that

Now, let us consider given choices one by one.

Clearly, 5.2 is greater than 3, it cannot lie between 2 and 3.

Clearly, 5.2 is greater than 4, it cannot lie between 3 and 4.

Also, 5.2 is greater than 5, it cannot lie between 4 and 5.

Now, 5.2 is greater than 5 and less than 6. So, we can say that 5.2 or lies between 5 and 6.

Hence, lies between 5 and 6.

So, choice number (4) is correct.

ANSWERED AT 18/01/2020 - 07:15 AM

QUESTION POSTED AT 18/01/2020 - 07:15 AM

The answer is -4 hope this helps

ANSWERED AT 18/01/2020 - 07:15 AM

QUESTION POSTED AT 18/01/2020 - 07:15 AM

**Answer:**

When expression for y in the second equation is substituted into the first equation than the resulting equation -x + 6 = 1 .

Option (a) is correct .

**Step-by-step explanation:**

As given the equations in the questions are

3x + y = 1

y = 6 - 4x

As expression for y in the second equation is substituted into the first equation .

i.e put y = 6 - 4x in 3x + y = 1 .

3x + 6 - 4x = 1

Solving the above

-x + 6 = 1

Therefore the when expression for y in the second equation is substituted into the first equation than the resulting equation -x + 6 = 1 .

Option (a) is correct .

ANSWERED AT 18/01/2020 - 07:14 AM

QUESTION POSTED AT 18/01/2020 - 07:14 AM

The basic definition of a perimeter is the boundary line of an object. For shapes and figures, this is basically the sum of the outermost sides that define the object. Since an octagon has eight sides, with each side measuring 12m, the perimeter can be obtained by multiplying 12 m by 8 sides, or in equation form:

P = 8(12)

Among the choices, this is letter B.

P = 8(12)

Among the choices, this is letter B.

ANSWERED AT 18/01/2020 - 07:14 AM

QUESTION POSTED AT 18/01/2020 - 07:14 AM