Matrix Question please help

Step-by-step explanation:

yea!!!!

The equation y = x is linear and m = 1 and b = 0. The equation y = 6 is linear with m = 0 and b = 6 (it is graphically represented by a horizontal line).

Answer:

x = -1 ± √17

Step-by-step explanation:

x² + 2x + 1 = 17

Subtract 1 form both sides

x² + 2x = 16

complete the square using half the x coefficent, 1) as the complete the square term

(x + 1)² = 16 + 1²

(x + 1)² = 17

Take the square root of both sides

x + 1 = ±√17

Subtract 1 from bot sides

x = -1 ± √17

Answer:

correct one is second option

Step-by-step explanation:

do by applying quadratic formula

Answer:

Part A

a·(a² - a + 1) + 5·a = a³ - a² + 6·a

Part B

The value of a·(a² - a + 1) + 5·a, for a = -2 is -24

Step-by-step explanation:

Part A

The given function is a·(a² - a + 1) + 5·a

The function is simplified by expanding the product of sums into sums of products, as follows;

a·(a² - a + 1) + 5·a = a × a² - a × a + a × 1 + 5·a = a³ - a² + a + 5·a = a³ - a² + 6·a

The function, a·(a² - a + 1) + 5·a, in simplified format is therefore;

a·(a² - a + 1) + 5·a = a³ - a² + 6·a

Part B

When a = -2, we get;

(a³ - a² + 6·a)[tex]_{a = 2}[/tex] = (-2)³ - (-2)² + 6·(-2) = -8 - 4 - 12 = -24

Answer:

180

Step-by-step explanation:

Note: Considering X as multiplication and finding the value of multiplication

[tex]15*12\\=180[/tex]

Given:

The graph of an inequality.

To find:

The inequality.

Solution:

In the given graph, the boundary line passes through the points (-3,3) and (0,1).

So, the equation of the boundary line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{1-3}{0-(-3)}(x-(-3))[/tex]

[tex]y-3=\dfrac{-2}{3}(x+3)[/tex]

[tex]y-3=-\dfrac{2}{3}(x)-\dfrac{2}{3}(3)[/tex]

Adding 3 on both sides, we get

[tex]y=-\dfrac{2}{3}(x)-2+3[/tex]

[tex]y=-\dfrac{2}{3}(x)+1[/tex]

The boundary line is a solid line and the shaded region is above the boundary line. So, the sign of inequality must be [tex]\geq[/tex] and the required inequality is:

[tex]y\geq -\dfrac{2}{3}(x)+1[/tex]

Therefore, the correct option is B.

Answer:

1.

Step-by-step explanation:

1. sin 241 = sin(61 + π) = -sin61 = -t^(1/2)

2. sin^2 + cos^2 =1, cos 61= (1-t)^(1/2)

3. [2sin^2 (x)sin(x) +2cos^2 (x)sin(x)]/2cos(x) = 2sin(x) / 2cos(x) = tan(x)

4. tan (x), x do not equal to （π/2 +or- kπ）

x do not equal to 90，270。

Answer:

(a^9/8)

Step-by-step explanation:

(a/b)^n = (a^n/b^n)

Answer: (0, -2) or -2

Step-by-step explanation:

Sub in 0 for x since at the y intercept x is 0

[tex]y=5(0)^2+2(0)-2\\y=5(0)+0-2\\y=0+0-2\\y=-2[/tex]

Answer:

jawbhvgh

Step-by-step explanation:

QJAWNDBSVX

Answer:

6 meters

Step-by-step explanation:

Use the area formula, A = lw, where l is the length and w is the width.

Plug in 24 as the area and 4 as the width, then solve for the length (l):

A = lw

24 = l(4)

Divide each side by 4:

6 = l

So, the length of the rectangle is 6 meters

Answer:

6 m

Step-by-step explanation:

Area = width x length

Area= 24m²

Width= 4m

A= wl

24= 4 x l

[tex]\frac{24}{4}[/tex] = l

6m = l

Problem 39

Because AB is parallel to DC, this means the consecutive interior angles B and C are supplementary (these angles are adjacent to either parallel line). They add to 180 degrees.

B+C = 180

107+C = 180

C = 180-107

C = 73

====================================================

Problem 40

We use the same idea from earlier. This time we have two pairs of parallel lines instead of one pair. Adjacent angles in any parallelogram always add to 180.

R+I = 180

If R = 70, then angle I = 180-R = 180-70 = 110

If angle I = 110, then angle N = 70 (because I+N = 180)

If angle N = 70, then angle G = 110 (because N+G = 180)

As you can see, opposite angles of a parallelogram are always congruent.

Answer:

a) Josh likely made the negative and positive multiplication error.

b) -20a-8+12b

= -4(5a+2-3b)

Step-by-step explanation:

To check if you are correct, you can always simplify it again:

-4(5a+2-3b)

=-20a-8+12b

Remember:

Negative times negative equals to positive, negative times positive equals to negative!

I hope this is helpful! :)

Answer:

133.3 repeated

Step-by-step explanation:

just divide distance and speed then you get your answer, which is 1.33.3 minutes and if you need to simplify then it would be About 2 hours and 13 minutes

Answer:

25

Step-by-step explanation:

Lets say it's a 30 day month. Sally really likes oranges so she eats them a lot.

Answer: X1= 4, X2= 7

Step-by-step explanation:

Answer:

2X+100 =8X+208

8X-2X=100-208

6X=-108

X=-18

8X+208=(8×-18)+208

=-144+208

=64

ANGLE 3=180-64

=116

Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking

Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees

Answer:

1.43 is the answer when you round it 2 decimal places

Step-by-step explanation:

hope this helps

Step-by-step explanation:

hear is your answer with calculation

Answer:

I would say 2 because if you go by absolute value it is the largest.

Answer:

The mean of x and y is equal to t.

Step-by-step explanation:

Given that,

The mean of t and t+2 is x.

The mean of t and t-2 is y.

i.e.

[tex]x=\dfrac{t+t+2}{2}\\\\x=(t+1)[/tex]

and

[tex]y=\dfrac{t+t-2}{2}\\\\x=(t-1)[/tex]

The mean of x and y is :

[tex]M=\dfrac{x+y}{2}\\\\M=\dfrac{(t+1)+(t-1)}{2}\\\\M=\dfrac{2t}{2}\\\\M=t[/tex]

Hence, the mean of x and y is equal to t.

Answer:

CD = 48

Step-by-step explanation:

Find the value of x using the two equations

9x - 15 = 7x - 1

9(7) - 15 = 7(7) - 1

63 - 15 = 49 - 1

48 = 48

Answer: x = 7

Then get the result of both equations

CD = 48

The length of CD is 48 units.

Isosceles triangles are those triangles which has the length of two sides or angles are equal to each other.

Given triangle ABC is an isosceles triangle since the length of sides AB and BC are given to be equal.

BD is the altitude of the triangle from the vertex B.

We know that, altitude of an isosceles triangle from the non equal angle bisect the opposite side, which is base.

So, AC is bisected at D.

AD = CD

9x - 15 = 7x - 1

Solving,

9x - 7x = -1 + 15

2x = 14

x = 7

Length of CD = 7x - 1 = 49 - 1 = 48

Hence 48 units is the length of CD.

Learn more about Isosceles Triangles here :

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Answer:

Step-by-step explanation:

A = {1, 3 , 5 , 7, 9 , 11 , 13 , 15 , 17 , 19}

B= { 0, 2 , 4 , 6 , 8 , 10, 12, 14, 16, 18 }

A - B means everything in A and not in B

A - B = { 1, 3 , 5 , 7 , 9 , 11 , 13, 15, 17 , 19 }

A ∩ B means elements common in A and B

A ∩ B = ∅

A - B ≠ A ∩ B

Answer:

1. h(x) = x + 5—> f(x) = x² + 4x - 5, and g(x) = x - 1

2. h(x) = x + 3 —> f(x) = x² - 9, and g(x) = x - 3

3. h(x) = x + 4—> f(x) = x² - 16, and g(x) = x - 4

4.h(x) = x - 1—> f(x) = x² - 4x + 3, and g(x)= x - 3

Step-by-step explanation:

A) f(x) = x² - 9, and g(x) = x - 3

We are told that; h(x) = f(x)/g(x)

f(x) = x² - 9 can be factorized to;

f(x) = (x + 3)(x - 3)

Thus; h(x) = (x + 3)(x - 3)/(x - 3)

(x - 3) will cancel out to give;

h(x) = x + 3

B) f(x) = x² - 4x + 3, and g(x)= x - 3

x² - 4x + 3 can be factorized as;

(x - 1)(x - 3)

Thus; f(x) = (x - 1)(x - 3)

h(x) = (x - 1)(x - 3)/(x - 3)

h(x) = x - 1

C) f(x) = x² + 4x - 5, and g(x) = x - 1

x² + 4x - 5 can be factorized as;

(x - 1)(x + 5)

Thus; f(x) = (x - 1)(x + 5)

h(x) = (x - 1)(x + 5)/(x - 1)

h(x) = x + 5

D) f(x) = x² - 16, and g(x) = x - 4

x² - 16 can be expressed as;

(x + 4)(x - 4)

Thus; f(x) = (x + 4)(x - 4)

h(x) = (x + 4)(x - 4)/(x - 4)

h(x) = x + 4

Step-by-step explanation:

the answer is in the above image

Answer:

61°

Step-by-step explanation:

(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD

x°+18°=4x°-15°

18°+15°=4x°-x°

33°=3x°

33°/3°=3x°/3°

11=x

angle ABD

90°-(x+18)°. the sides of a rectangle meet at 90°

90°-(11+18)°

90°-(29)°

90°-29°

61°

Answer:

The second option: 3 (6 - 5n)/20n

Step-by-step explanation:

Make sure all fractions have a common denominator:

Step 1. Find a common multiple between all three denominators

5, 4, and 10 all have a common multiple of 20. Proof: 5 × 4 = 20, 4 × 5 = 20, and 10 × 2 = 20

Step 2. Multiply the denominators to get to 20. Whatever you do to the bottom (denominator) must be done to the top (numerator).

1/5n × 4/4 = 4/20n

3/4 × 5n/5n = 15n/20n

7/10n × 2/2 = 14/20n

Your fractions now all have a common denominator of 20n.

Rewrite the equation using the new fractions:

4/20n - 15n/20n + 14/20n

Only focus on adding/subtracting the numerators; the denominators will stay the same: 20n.

(4 - 15n + 14)/20n

Combine like terms:

(18 - 15n)/20n

Factor out any numbers possible:

3(6 - 5n)/20n

Note* 3 go into both 18 and 15, which allows us to factor 3 out. 18 ÷ 3 = 6 and 15 ÷ 3 = 5, giving us our new numbers inside the parentheses.

Answer:

I think it's 4in is my answer

The correlation coefficient that would best describe the line of best fit shown in the scatter plot is 0.9 which is a weak positive correlation.

The statistical concept of correlation describes how closely two variables move in tandem with one another.

We can see that Slope is not near to horizontal, thus Correlation Coefficient will be greater than 0.5

Since the value of X axis is get increased, then the value of Y axis is also increasing.

According to the graph is scattered in such a way that, if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases, then the relation is positive correlation.

Therefore, the given scatter plot shows positive weak correlation with value 0.9 .

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Answer:

Option C: 4√10

Step-by-step explanation:

From the geometric mean theorem, when we have this type of rectangle with a height of say "x" and left and right distances to this height as "a" and "b" respectively, then the theorem says that;

x/a = b/x

Applying it to this question;

Altitude is "m"

Left side measurement is 8

Right side measurement is 20

Thus;

m/8 = 20/m

Cross multiply to get;

m² = 160

m = √160

m = √(16 × 10)

m = 4√10

Answer:

C

Step-by-step explanation:

C

Answer:

[tex]\displaystyle y-5=-\frac{10}{9}(x+6)[/tex]

Or:

[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]

Step-by-step explanation:

We want to write the equation of a line that passes through the points (-6, 5) and (3, -5) in point-slope form.

Point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

Thus, first, we need to find the slope. We can use the slope formula:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{(-5)-(5)}{(3)-(-6)}=\frac{-10}{9}=-\frac{10}{9}[/tex]

Next, we can use either of the two given points. I'll use (-6, 5). So, let (-6, 5) be (x₁, y₁). Substitute:

[tex]\displaystyle y-(5)=-\frac{10}{9}(x-(-6))[/tex]

Or, fully simplified:

[tex]\displaystyle y-5=\frac{-10}{9}(x+6)[/tex]

Using the other point, we will acquire:

[tex]\displaystyle y-(-5)=-\frac{10}{9}(x-(3))[/tex]

Or, simplified:

[tex]\displaystyle y+5=-\frac{10}{9}(x-3)[/tex]