When the determinant of the coefficient matrix of a system of equations does not equal zero, the system has _________ solution(s)?

Answer:

List the factors of 12

1,12

2,6

3,4

That is the side lengths of the 3 rectangles

All the areas will be 12 because they are the factors 12

factors multiply to be a number

(length + width) x 2 = perimeter

1+12=13x2=26

1 by 12 has a perimeter of 26 and area of 12

2 by 6 has a perimeter of 16 and area of 12

3 by 4 has a perimeter of 14 and area of 12

Hope this helps. If you have any questions you can ask

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

We can set up the equation 0.50X = 0.750

Divide by 0.5 and we get .75/.5=1.5

Answer:

10.5 I think

Step-by-step explanation:

hope it helps

Answer:x=5 and y=8

Step-by-step explanation:

The value of the variable 'x' and 'y' will be 5 and 8, respectively.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals intersect in the center.

GHIJ is a parallelogram. Then the equation is given as,

HI = GJ

5x - 10 = 7x - 20

7x - 5x = 20 - 10

2x = 10

x = 5

Then the other equation is given as,

GH = IJ

3y = 5y - 16

5y - 3y = 16

2y = 16

y = 8

The value of the variable 'x' and 'y' will be 5 and 8, respectively.

More about the parallelogram link is given below.

https://brainly.com/question/1563728

#SPJ2

Answer:

Question 7: Distributive

You multiple the outside element by each element inside the parenthesis

Question 5: 1.2x + 12.3y

2.4(3x + 2y) - 1.5(4x - 5y)  = 7.2x + 4.8y - 6x + 7.5y  = 1.2x + 12.3y

Question 3: 1 (3/5)x - (3/10)y

(2/5)(4x - 3y/4) = (8/5)x - 6y/20 = 1 (3/5)x - (3/10)y

Question 2: 1 (7/15)x

(4/5)x + (2/3)x = (12/15)x + (10/15)x = (22/15)x = 1 (7/15)x

Question 1: -2x + 3y

(3/4)(8x-4y) - (2/3)(12x - 9y) = 6x - 3y - 8x + 6y = -2x + 3y

Hope this helps!

Answer:

Question 7: Distributive

Question 5: [tex]1.2x+12.3y[/tex]

Question 3: [tex]$1\frac{3}{5}x -\frac{3}{10}y $[/tex]

Question 2: [tex]$1\frac{7}{15} x$[/tex]

Question 1: [tex]-2x+3y[/tex]

Step-by-step solution:

Question 7

[tex]4(x-5)=4x-20[/tex]

Distributive property, [tex]a(b + c) = ab + ac[/tex]. It says that multiplying the sum of two or more addends (numbers or terms added together) by a number (a) will give the same result as multiplying each addend individually. It is the same as the distributive property of multiplication over subtraction, except it will give the difference.

Question 5

[tex]2.4(3x + 2y) - 1.5(4x - 5y)[/tex]

Use the distributive property:

[tex]7.2x+4.8y-6x+7.5y[/tex]

[tex]1.2x+12.3y[/tex]

Question 3

[tex]$\frac{2}{5} \left(4x-\frac{3}{4}y \right)$[/tex]

Use the distributive property again:

[tex]$\frac{8}{5}x -\frac{6}{20}y $[/tex]

[tex]$\frac{8}{5}x -\frac{3}{10}y $[/tex]

Now you have to convert [tex]$\frac{8}{5} $[/tex] to mixed form:

It will give 1 with remainder 3, therefore

[tex]$\frac{8}{5} = 1\frac{3}{5} $[/tex]

[tex]$1\frac{3}{5}x -\frac{3}{10}y $[/tex]

Question 2

[tex]$\frac{4}{5} x +\frac{2}{3} x$[/tex]

[tex]$\frac{4(3)}{5(3)} x +\frac{2(5)}{3(5)} x$[/tex]

[tex]$\frac{12}{15} x +\frac{10}{15} x$[/tex]

[tex]$\frac{22}{15} x$[/tex]

Mixed form again:

[tex]$1\frac{7}{15} x$[/tex]

Question 1

[tex]$\frac{3}{4} (8x-4y) -\frac{2}{3} (12x - 9y)$[/tex]

[tex]$6x-3y -8x +6y$[/tex]

[tex]-2x+3y[/tex]

Answer:

(1, 5)

Step-by-step explanation:

Reflecting across the y-axis is the same thing as adding a negative to the y-value.

double negative 5 is the same thing as positive 5 so

(1, 5) is your answer

Answer:

d

Step-by-step explanation:

Answer:

We have axis of symmetry in [tex]x=-1[/tex]

The vertex point is [tex](-1, -9)[/tex]

The roots by factoring are

[tex]x=-4[/tex]

[tex]x=2[/tex]

Step-by-step explanation:

We have the function:

[tex]f(x)=x^2+2x-8[/tex]

Factoring the quadratic equation:

[tex]y=(x+4)(x-2)[/tex]

When [tex]y=0[/tex]

[tex]0=(x+4)(x-2)[/tex]

[tex]x=-4[/tex]

[tex]x=2[/tex]

The vertex point is [tex](h, k)[/tex]

From the equation, we have [tex]a=1,\:b=2 \text{ and }\:c=-8[/tex]

[tex]$h=-\frac{b}{2a}$[/tex]

[tex]$h=-\frac{2}{2\cdot \:1}$[/tex]

[tex]h=-1[/tex]

We also got the axis of symmetry

In order to find [tex]k[/tex] just use the [tex]$h=x_{vetex}$[/tex]:

[tex]k=(-1)^2+2(-1)-8\\k=1-2-8\\k=-9[/tex]

Once [tex]a>0[/tex], we have the minimum at [tex](-1, -9)[/tex]

Answer:

x = -1  axis of symmetry

(-1,-9) vertex

x = -4           x=2   are the roots

Step-by-step explanation:

y = x^2 + 2x - 8

The axis of symmetry is

h = -b/2a

h = -2/ (2*1) = -2/2 =-1

x = -1

The x coordinate of the vertex is at the axis of symmetry

To find the y value substitute into the function

y = (-1)^2 +2(-1) -8

y = 1-2-8

y = -9

The vertex is at ( -1,-9)

Factor

What 2 number multiply to -8 and add to 2

4*-2 = -8

4+-2 = 2

y = ( x+4) (x-2)

Using the zero product property to find the roots

0 = ( x+4) (x-2)

x+4 =0    x-2 =0

x = -4           x=2   are the roots

Answer:

24

Step-by-step explanation:

Answer:

hi I hope this helps you

Answer:

Solve for area

A≈1134.11cm²

r Radius

19

cm

Solution

A=πr2=π·192≈1134.11495cm²

Answer: 1133.54

Step-by-step explanation:

The formula of area of a circle: A = [tex]\pi[/tex]r squared

All you have to do is plug the numbers in, so A= 3.14 (19) squared. Solve

19 times 19 = 361, and 3.14 times 361 = 1133.54

Answer:

b=16

Step-by-step explanation:

1) Divide 3 on both sides.

2) 3 divided by 3 and 48 divided 3.

3) Now you're left with 16, so the value of b is 16.

Answer:

1) Divide both sides by 3

2) b=16

Step-by-step explanation:

To solve the equation, we want to find out what b is. In order to do this, we have to get b by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

3b=48

3 and b are being multiplied (3b=3*b). The opposite of multiplication is division. Therefore, divide both sides by 3.

3b/3=48/3

The 3s on the left will cancel, and we are left with:

b=48/3

b=16

Answer:

4x 32x + 1 = 28x + 1

Step-by-step explanation:

4x-32x+1

=-28x+1

Answer:

$300

Step-by-step explanation:

Money that she earns per hour:

$180÷18=$10

30 hours:

30×$10=$300

Answer:

$300

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

8 white marbles and 48 marbles

each sample contains 2 white

so first

8 divide 2 = 4

then second

48 divide 4=  12

hope this helps

Answer:

5.6 ft

Step-by-step explanation:

sin a = 8/10

sin a = x/7

8/10 = x/7

x = 8/10 * 7 = 28/5 = 5.6 ft

Answer:

c

Step-by-step explanation:

(4 + 6i)(7-2i)=

28-8i+42i-12i^2

i^2=-1, so

28+12-8i+42i

40+34i

answer is c

Answer:

b

Step-by-step explanation: sike idk

Answer:

i say 130 pi

Step-by-step explanation:

it is the closest one

area = 2πrh+2πr2=2·π·5·8+2·π·52≈408.40704

Answer:

I think y=log0.5x

Step-by-step explanation:

Answer: It's D, y=log6x

Step-by-step explanation: Edge

Answer:

Top Right: 186

Center: 155

Center Middle: 279

Center Left: 93

Bottom Left: 124

Answer:

48,650

Step-by-step explanation:

3,475 times 14 bc thats how many days are in 2 weeks(obviously)

Answer:

solution is the third one

Answer:

f(x)=-3x+14

Step-by-step explanation:

y +1=-3(x–5)

y +1=-3x+15

y= -3x+15-1

f(x) = -3x + 14

Answer:

BO

Step-by-step explanation:

bo becuase radius is the line that touches the center of the circle

Answer:

bo

Step-by-step explanation:

if you look b is the  only on touching that the O's dot

Answer:

5310

Step-by-step explanation:

She gets 270 extra every month and if you multiply that by 3 then you add that number onto 4500 then you get 5310

Answer:

5359.57

Step-by-step explanation:

4500x1.06^3=5359.57

it is ^3 because it is after three months

Answer:

I think C

Step-by-step explanation:

Hope it was Right.

Answer:

c)

Step-by-step explanation:

(-4,2)  ; (4,-5)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-5-2}{4-[-4]}\\\\=\frac{-7}{4+4}\\\\=\frac{-7}{8}[/tex]

m = -7/8 ;   (-4,2)

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

[tex]y-2=\frac{-7}{8}(x-[-4])\\\\y-2=\frac{-7}{8}(x+4)\\\\y-2=\frac{-7}{8}x +\frac{-7}{8}*4\\\\y=\frac{-7}{8}x-\frac{7}{2}+2\\\\y=\frac{-7}{8}x-\frac{7}{2}+\frac{4}{2}\\\\y=\frac{-7}{8}x-\frac{3}{2}\\[/tex]

Answer:

5

Step-by-step explanation:

We can find the slope given two points

m = (y2-y1)/(x2-x1)

   = (-10- -5)/(0 -1)

   (-10+5)/(-1)

     - 5/-1

     5

Answer:

5

Step-by-step explanation:

Use the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the numbers/coordinates accordingly:

[tex]m=\frac{-10+5}{0-1}[/tex]

[tex]m=\frac{-5}{-1}[/tex]         →         [tex]m=\frac{5}{1}[/tex]

m = 5

Answer:

x = 147/5 and y = 78

Step-by-step explanation:

First solve by substitution and put 78 into y in -5x + 2y = 9 so you get 147/5

then plug 147/5 into x and find y

Answer:

x = -147/5 , y = 78

Step-by-step explanation:

- 5x + 2y = 9

Y = 78

Substitute the second equation into the first

-5x + 2(78) = 9

-5x +156 = 9

Subtract 156 from each side

-5x+156-156 = 9-156

-5x =147

Divide each side by -5

-5x/-5 =147/-5

x = -147/5

Answer:

Cost, C = $28410.72

Step-by-step explanation:

We have, a concrete pillar has the shape of a cylinder.

Diameter of pillar is 8 m and ts height is 9 m

If concrete costs $87 per cubic meter, it is required to find the concrete cost for the pillar. For this lets find the area of cylindrical shape. So,

[tex]A=2\pi rh+2\pi r^2\\\\A=2\times 3.14\times 4\times 9+2\times 3.14\times 4^2\\\\A=326.56\ m^2[/tex]

The cost of pillar at the rate of $87 per cubic meter will be :

[tex]C=326.56\times 87\\\\C=\$28410.72[/tex]

Answer:

Step-by-step explanation:

Mary bought 1 fish, Ari bought 20 fish, Rodney bought 4 fish, Carissa bought 3 fish, Jacob bought 4 fish, Jack bought 1 fish, Jaleesa bought 2 fish, Andrea bought 5 fish, Geoff bought 1 fish, Becky bought 4 fish, Molly bought 1 fish, David bought 2 fish, Gina bought 7 fish, James bought 1 fish, Anessa bought 2 fish, Ted bought 1 fish, Sean bought 2 fish, Kerri bought 11 fish, Sammy bought 3 fish, Jameson bought 2 fish, Theresa bought 2 fish, Luz bought 2 fish, Tracy bought 4 fish, Jackson bought 5 fish, and Celia bought 7 fish.

Rewrite the numbers

1,20,4,3,4,1,2,5,1,4,1,2,7,1,2,1,2,11,3,2,2,2,4,5,7

1.

a: I can't draw a line plot, but I can tell you some tips.

Set the x as the different numbers that appear in the set

Set the y as the frequency of each number.

b: 2 fish has the highest frequency.

c: Add the terms. 97 is the total fish been bought

d: The outlier is 20 bought fish

2.

a: When making the stem and leaf plot, do it in this format

1| 7,4,3,5,8,4

and so on.

b: the heaviest puppy is 25 and the lightest is 13

so the range is 12

c: 4 puppies weighed at least 20 pounds

3. There are no following values, but for this I would make a box and whisker plot.

4. There is no histogram but it should be relatively easy if you know which aspect of the graph to use.

a: Find the frequency of each bar and add them.

b: the largest number of boxes is the interval that is the largest

c: Use the graph to find it

d: I can't do this without the graph.