Determine if the following system of equations has no solutions, infinitely many
solutions or exactly one solution.
-3x + 2y = -8
3x – 2y = 8
A. No Solutions
B. Infinitely Many Solutions
C.One Solution

Apnswer:

p = 1

q = -2

Step-by-step explanation:

5p - 2q = 9   eqn 1

3p + 2q = 7    eqn 2

subtract equation 2 from 1

2p = 2

p = 1

Substitute for p in equation 1

5(1) - 2q = 9

5 - 2q = 9

-2q = 4

q = -2

Step-by-step explanation:

Let use the first of the medians. Medians AX.

Median AX is the midpoint of BC so our median is

[tex] \frac{1}{2} (b + c) - a[/tex]

Let use the second median.

Median BY is the midpoint of AC so our median is

[tex] \frac{1}{2} (a + c) - b[/tex]

Let use the final median.

Median CZ is the midpoint of AB so our median is

[tex] \frac{1}{2} (a + b) - c[/tex]

Now add all them up

[tex] \frac{1}{2} (b + c ) - a + \frac{1}{2} (a + c) - b + \frac{1}{2} (a + b) - c[/tex]

[tex] \frac{1}{2} b + \frac{1}{2} c - a + \frac{1}{2} a + \frac{1}{2} c - b + \frac{1}{2}a + \frac{1}{2} b - c[/tex]

Add like terms.

[tex] \frac{1}{2} b + \frac{1}{2} b - b = 0[/tex]

[tex] \frac{1}{2} a + \frac{1}{2} a - a = 0[/tex]

[tex] \frac{1}{2} c + \frac{1}{2} c - c = 0[/tex]

[tex]0 + 0 + 0 = 0[/tex]

So

AX+BY+CZ=0

Answer:

A. 5.2

Step-by-step explanation:

I was taught how to do this using the SOH CAH TOA method.

Step 1: Circle your given angle.

Step 2: Label O, H, and A. The line across from your circled angle will be labeled O. The side across from the right angle is H. The last unmarked side is A.

Step 3: Cross off the useless side, in this case, that would be A because there is no corresponding information.

Step 4: Identify if it is sine, cosine, or tangent using SOH CAH TOA. In this case, you only have an O and H so we will use SOH.

Step 5: Set up the equation. The equation is [tex]\frac{sine(31)}{1} =\frac{x}{10}[/tex]. We will use sine of the given angle is equal to the side marked O over the side marked H.

Step 6: Solve for x until x is by itself, then enter into your calculator.

You will enter [tex]sine(31) * 10[/tex] into your calculator and round if necessary.

13/8, which you can also write as 1 5/8

Answer:

(2y+5)^5

Step-by-step explanation:

Use the "PERFECT SQUARE RULE"

Answer:

The geometric sequence given is:

3, 9, and 27

When provided with a geometric sequence we must first calculate the common ratio

r is obtained by dividing a term by its preceding term.

1) 9

---- = 3

3

2) 27

---- = 3

9

for the sequence

The 8th term can be obtained through formula

n-1 (8 - 1)

T = ar = 3 × 3

n

7

= 3 × 3

= 3 × 2187 = 6561

Answer:

[tex]n=-24[/tex]

Step-by-step explanation:

[tex]15+n=-9[/tex]

Simplify both sides:

[tex]n+15=-9[/tex]

Subtract 15 from both sides:

[tex]n+15-15=-9-15\\n=-24[/tex]

n = -24 is your final answer!

Step-by-step explanation:

15+n=-9

n=-9-15

n=-24

=-24

Answer:

Step-by-step explanation:

Answer:

[tex]c \: (x + 5)(x - 1)[/tex]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(3,5)

Equation Form:

x=3,y=5

Step-by-step explanation:

Answer:

first question

AB=CD=15cm

BD=AC=8cm

Answer:

42%

Step-by-step explanation:

The computation of the percentage is shown below:

Here we assume that there are 100 students

So according to the question

60% of the students would pack the lunch i.e. 60 students

And, 40% of the students buy a lunch i.e. 40 students

Now the students who pack the lunch they have 70% of cookie

So, 70% of 60 students = 42 students

Now the percentage is

= 42 students ÷ 100 students

= 42%

Answer:

[tex]9k^{2} - 25k - 44[/tex]

Step-by-step explanation:

Respuesta:

$ 750 000

Explicación paso a paso:

Precio original = $ 800,000

Si el precio original se incrementa en una cuarta parte;

(800.000 + 1/4 * 800.000) = 800.000 + 200.000 = $ 1.000.000

Nuevo precio = $ 1,000,000

Si el nuevo precio se reduce en un cuarto;

1.000.000 - 1/4 (1.000.000)

1.000.000 - 250.000

= $ 750 000

El precio final es de $ 750.000

Answer:

It's 7!

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

10%*900=90

Answer:

90

Step-by-step explanation:

10%*900=90

Answer: A

Step-by-step explanation:

We have to find the perimeter of the figure.

For doing so, we have to find the length of all the sides of a quadrilateral

The length of a line segment joining points (x1,y1) and (x2,y2) is given by the distance formula:  

after finding length of all the sides, we add the length of each side to get the perimeter.

Use the distance formula to find the length of each side, and then add the lengths.

Answer:

C

Step-by-step explanation:

Given

tanθ = [tex]\frac{1}{2}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

This is a right triangle with legs 1 and 2

Using Pythagoras' identity

hypotenuse² = 1² + 2² = 1 + 4 = 5 ( take square root of both sides )

hypotenuse = [tex]\sqrt{5}[/tex]

θ is in the 3rd quadrant where sinθ < 0 , then

sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{1}{\sqrt{5} }[/tex] ← rationalise the denominator

       = - [tex]\frac{1}{\sqrt{5} }[/tex] × [tex]\frac{\sqrt{5} }{\sqrt{5} }[/tex]

       = - [tex]\frac{\sqrt{5} }{5}[/tex] → C

answer:

8. 67 and 17. 36

step-by-step explanation:

hi there!

to find out the age of both girls, i believe that we should divide the number 26 by 3 because jamie is twice as old as natalie meaning ( natalie ) is younger

26/3

= 8. 67

meaning 8.67 is how old natalie is/was

add 8.68 to itself once and you will get jamie's age!

8. 67 + 8. 67

= 17. 34

meaning 17. 34 is how old jamie is/was

sorry if i misread the question or made it a little confusing! but i do hope that this ends up helping you! :)

Answer: $25,875 - 15% = 21 993.75  0r $25,875 + 15% = 29 756.25

Step-by-step explanation:

Solution :

Given :

Span of the roof = 48 feet

Length of the rafter = 30 feet (including the 4 feet overhung)

So, for the 30 feet long rafter, 26 feet will be rafter length from the high point of the roof to the edge of the roof and 4 feet will be the roof overhung.

Therefore, the horizontal span per rafter is

[tex]$=\frac{48}{2}$[/tex]

= 24 feet

a). So the rise of the roof is [tex]$= \sqrt{(26)^2-(24)^2}$[/tex]  

                                         = 10 feet

b). Pinch of the roof is [tex]$=\frac{\text{rise}}{\text{run}}$[/tex]

                                     [tex]$=\frac{10}{24}$[/tex]

                                     [tex]$=\frac{5}{12}$[/tex]

c). The percent of the roof used as overhung is

     [tex]$=\frac{4+4}{60}\times 100$[/tex]

     [tex]$=\frac{80}{6}$[/tex]

       = 13.33 %

Given:

A quadrilateral has vertices at (1,4), (7,3), (3, -5), and (8,4).

The quadrilateral is dilated by a scale factor of 3.5 with the origin as its center.

To find:

The coordinates of the vertices of the image of the quadrilateral.

Solution:

If a figure is dilated by a scale factor k with origin as it center, then

[tex](x,y)\to (kx,ky)[/tex]

It is given that the quadrilateral is dilated by a scale factor of 3.5 with the origin as its center. So, the rule of dilation is

[tex](x,y)\to (3.5x,3.5y)[/tex]

Using this rule, we get

[tex](1,4)\to (3.5(1),3.5(4))[/tex]

[tex](1,4)\to (3.5,14)[/tex]

Similarly,

[tex](7,3)\to (3.5(7),3.5(3))[/tex]

[tex](7,3)\to (24.5,10.5)[/tex]

[tex](3,-5)\to (3.5(3),3.5(-5))[/tex]

[tex](3,-5)\to (10.5,-17.5)[/tex]

And,

[tex](8,4)\to (3.5(8),3.5(4))[/tex]

[tex](8,4)\to (28,14)[/tex]

Therefore, the coordinates of the vertices of the image of the quadrilateral are (3.5,14), (24.5,10.5), (10.5,-17.5), (28,14).

Answer:

2x+8=180° (being vertically opposite angles)

Step-by-step explanation:

2x+8=110°

or, 2x= 110-8

or, x=102°÷2

: x= 51 answer

Answer:

14

Step-by-step explanation:

there are two days whose mean is 11.for you to get the mean of 11 you had divided by 2

multiply 11 by 2 which is 22

then minus fridays which is 8

Answer:

c

basically you add male (x) and female (y) together and get 127, there are 23 more male athletes (x) so to get the same amount of make and female you need to add 23 to female (y) so the answer will be c.

Answer:

Hi! The answer to your question is B, D, and E

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

D

Step-by-step explanation:

because the other answers do not have a function A,B,C,E, and f are not a function because the numbers are repeating in the same axis

Answer:

7.76

Step-by-step explanation:

theres not really an explanation just add them and you'll get the answer

Answer:

7.79

Step-by-step explanation:

 4.56

+3.23

_____

 7.79

Hope this helps    :)