Name the intersection of lines a and b

Greetings from Brasil....

Looking at the figure we can say that:

and

DF = 9X - 15

DE = 4X + 10

EF = 2X - 1

So

DF = DE + EF

9X - 15 = (4X + 10) + (2X - 1)

X = 8 and

DF = 9X - 15

The solution is, the value of DF is 57.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

here, we have,

from the given information, we get,

DF = DE + EF

and

DF = 9X - 15

DE = 4X + 10

EF = 2X - 1

So, we have to simplify ,

DF = DE + EF

9X - 15 = (4X + 10) + (2X - 1)

X = 8 and

DF = 9X - 15

DF = 57

Hence, The solution is, the value of DF is 57.

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Answer:

-6

Step-by-step explanation:

We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:

Ax + By = 3

A * (-7) + B * 2 = 3

-7A + 2B = 3

We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:

x + 3y = -5

3y = -x - 5

y = (-1/3)x - (5/3)

So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:

Ax + By = 3

By = -Ax + 3

y = (-A/B)x + 3/B

This means that -A/B = -1/3. So, we have a relationship between A and B:

-A/B = -1/3

A/B = 1/3

B = 3A

Plug 3A in for B into the equation we had where -7A + 2B = 3:

-7A + 2B = 3

-7A + 2 * 3A = 3

-7A + 6A = 3

-A = 3

A = -3

Use this to solve for B:

B = 3A

B = 3 * (-3) = -9

So, B = -9 and A = -3. Then B - A is:

B - A = -9 - (-3) = -9 + 3 = -6

The answer is -6.

~ an aesthetics lover

Answer:

-6

Step-by-step explanation:

Let $A = (-3,8)$ and $B = (-5,4)$. The midpoint of $\overline{AB}$ is $\left( \frac{(-3) + (-5)}{2}, \frac{8 + 4}{2} \right) = (-4,6)$.

The slope of $\overline{AB}$ is $\frac{8 - 4}{(-3) - (-5)} = 2$, so the slope of the perpendicular bisector of $\overline{AB}$ is $-\frac{1}{2}$. Therefore, the equation of the perpendicular bisector is given by

\[y - 6 = -\frac{1}{2} (x + 4).\]Isolating $y,$ we find

\[y = -\frac{1}{2} x + 4.\]Therefore, $m+b = -\frac{1}{2} + 4 = \boxed{\frac{7}{2}}.$

Answer:

2.5

Step-by-step explanation:

Since 4/2 = 2 and 5/2 is 1/2 more than 4/2, then 5/2 is equal to 2 1/2 which can be rewritten as 2.5

Answer:

5/2 = 2,5

5  to divide 2 = 2,5

Step-by-step explanation:

Answer:

i can confirm its B

Step-by-step explanation:

hypothesis, if and only if, conclusion

Answer:

0=0

Step-by-step explanation:

(x+6)(x-5) = x^2 + - 30

Step 1: Simplify both sides of the equation.

x^2 + x-30 = x^2 + x-30

Step 2: Subtract x^2 from both sides.

x^2 + x - 30 - x^2 = x^2 + x - 30 - x^2

x-30=x-30

Step 3: Subtract x from both sides.

x-30-x=30-x

-30 = - 30

step 4: Add 30 to both sides.

-30+ 30 = -30 + 30

0=0

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 74 inches

The statement

The length of a rectangle is 2 inches less than twice it’s width is written as

l = 2w - 2

Substitute this expression into the perimeter formula and solve for the width

That's

74 = 2(2w - 2) + 2w

74 = 4w - 4 + 2w

6w = 78

Divide both sides by 6

w = 13

Substitute this value into l = 2w - 2

l = 2(13) - 2

l = 26 - 2

l = 24

Therefore we have

length = 24 inches

width = 13 inches

Hope this helps you

Answer:

x = -8

Step-by-step explanation:

-10x-5 = -8x + 11

-10x + 8x = 11 + 5

-2x = 16

x = 16/-2

x = -8

Question: If the subspace of all solutions of

Ax = 0

has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A.

Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.

Assume: The number of vectors is 3, and the dimension is 5 × 8.

Answer:

The rank of the matrix A is 5.

Step-by-step explanation:

In the standard basis of the linear transformation:

f : R^8 → R^5, x↦Ax

the matrix A is a representation.

and the dimension of kernel of A, written as dim(kerA) is 3.

By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.

That is:

rank(A) = dim(R^8) - dim(kerA)

= 8 - 3

= 5

Answer:

The mystery number is 351.

Step-by-step explanation:

Let the numbers be xyz.

Since the digits total is 9, then '9' cannot be among since summing it with other digit(s) will be greater than 9. Hence, '9' cannot be among the digits.

Also, '7' cannot be among the three digit number, since adding 7 to any two of the remaining three digits (that is, 1, 3, and / or 5) will make the total greater than 9. Hence, '7' also cannot be among the digits.

The remaining digits are 1,3 and 5; which all sum up to 9. That 1 + 3 + 5 = 9.

Hence the mystery number is 351.

Answer:

k = 1[tex]\frac{1}{4}[/tex]  or 5/4

Step-by-step explanation:

5k = 5 + k

4k = 5

k = 5/4

Answer:

20% of 45 is 9. sale price- 9$

Step-by-step explanation:

20% of 45

20/100 = 0.20 (0.20) (45) = 9

Answer:

37.50

Step-by-step explanation:

45 ÷ 80% = 37.50

÷80% because original price reduced TO 80%.

Answer:nnn

Step-by-step explanation:

jjj

Answer:

48 = 12y

Step-by-step explanation:

First, we simplify

6 * 7 = 42

6 * 3y = 18y

6 * y = 6y

6 * 1 = 6

Then, rewrite the expression

42 - 18y + 6y + 6

Now, rearrange the expression

42 + 6 - 18y + 6y

Then, simplify

48 - 12y

Hope this helps!

Answer:

48 - 12 y

Step-by-step explanation:

6 (7 - 3 y) + 6 (y + 1)

Use distributive property to get rid of the parentheses:

42 - 18 y + 6 y + 6

now combine like terms:

(42 + 6 ) + (- 18 y + 6 y) = 48 - 12 y

Answer:

x=3

Step-by-step explanation:

The line of reflection would be at x=3. It’s like a mirror.  The reflection is backward, but the same distance from the line of reflection, so the line needs to be halfway between the two shapes.  Since C is at 4 and C’ is at 2, the line of reflection has to be at 3.

Answer:

See below.

Step-by-step explanation:

1) What percent of 29 is 3?

3/29 * 100% = 10.3

2) What percent of 33.5 is 21?

21/33.5 * 100% = 62.7%

3) What percent of 55 is 34?

34/55 * 100% = 61.8%

4) 41% of 78 is what?

41% * 78 = 0.41 * 78 = 32.0

5) 28% of 63 is what?

28% * 63 = 0.28 * 63 = 17.6

6) 58% of what is 63.4?

58% * x = 63.4

0.58x = 63.4

x = 63.4/0.58 = 109.3

Answer:

A. 21

Step-by-step explanation:

First, find h(1) and h(4) given the function, [tex] h(x) = x^3 - 1 [/tex]

[tex] h(1) = (1)^3 - 1 = 1 - 1[/tex]

[tex] h(1) = 0 [/tex]

[tex] h(4) = (4)^3 - 1 [/tex]

[tex] h(4) = 64 - 1 [/tex]

[tex] h(4) = 63 [/tex]

Average rate of change = [tex] \frac{h(b) - h(a)}{b - a} [/tex]

Where,

[tex] a = 1, h(a) = 0 [/tex]

[tex] b = 4, h(b) = 63 [/tex]

Average rate of change = [tex] \frac{63 - 0}{4 - 1} [/tex]

[tex] = \frac{63}{3} = 21 [/tex]

Step-by-step explanation:

To find the factors of -20 (or 20), we ask ourselves: what numbers multiply each other to get -20?

We have:

-20 * 1

-10 * 2

-5 * 4

5* -4

10 * -2

20 * -1

All of these pairs are factors of -20. Choose two that you want to use! Hope this helps!

Answer:

2 and -10 or 4 and -5

Step-by-step explanation:

An integer is any whole number, positive or negative (so not fractions, decimals.... just numbers like -1, -2, 10, etc.).

Hence, there is not only one answer to your question...

It could be 2 and -10, 4 and -5... just not any decimals or fractions!

God bless and stay safe! I hope this helped.

Answer:

146x + 9

unless they have to be seperate not all combined

Answer:Maybe ffor the positive numbers you could use like 1,2,3,4,5,6,7,8, and 9. For the negitive number could be like -1,-2,-3,-4,-5. And zero could  repersent  the middle. Get it or no?

Step-by-step explanation:

Step-by-step explanation:

green: 6/4

red: 7/4

this is all i know

Answer:

The rate of change of the function = 5

Step-by-step explanation:

From the given parameters, we have;

The number of months Janenne has belonged to the book-of-the-month-club = 12

The amount Janenne has spent on the club = 70.45

The amount she paid in the first month = Monthly fee + 10.45

Let the monthly fee = x

The total amount Janenne has spent on the club  can be given by the following formula;

10.45 + 12×x = 70.45

12×x = 70.45 - 10.45 = 60

x = 60/12 = 5

The monthly due of the book club = 5

Therefore, the rate of change of the function × 5

The function of the amount spent on the club = Y = t×x

Where;

x = The rate of change of the function

t = The time in months

The rate of change of the function = 5.

Answer:

3

Step-by-step explanation:

Cube volume formular = Side^3

27 = x^3

[tex]\sqrt[3]{27} = 3\\[/tex]

Check = 3*3*3 = 27

3 is the answer

Answer:

Read Exp:

Step-by-step explanation:

Exponents are like a simpler way to multiply something by itself a certain amount of times.

So like if you were to see 7^4 on a test or assignment you would solve it like this:

- 7x7x7x7.

It just means 7 times itself 4 times. NOT 7 times 4.  

0 because there is no 7 on a fair 6-sided die

Answer:

The probability of rolling a "7" on a fair 6-sided die is 0/6 or 0% because there is no value of 7 to be rolled on such a die. The probability of flipping a tails on a  fair coin is 1/2 or 50% because there are only two sides to a coin and tails is one of those sides.

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 6)² + (y + 1)² = 40 ← is the equation of a circle in standard form

centre = (6, - 1) and r = [tex]\sqrt{40}[/tex] = 2[tex]\sqrt{10}[/tex]

Answer:

X = 8.5, Y = 6.5

Step-by-step explanation:

X = # of children's books

Y = # of puzzle books

Amelie wants to buy 2 more children's books than puzzle books.

15 - 2 = 13 (Save the 2)

13 / 2 = 6.5

6.5 + 2 = 8.5

So; 8.5 + 6.5 = 15

X = 8.5

Y = 6.5

Answer:

See below.

Step-by-step explanation:

The graph is very unclear, but if you look at x = 2, and you go up until you intersect a point on the line, the y-coordinate of that point is the value written on the graph to the left of the y-axis.

Answer:

i think the answers c or d

by the way are you on odyssey ware or USA test prep

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Under a clockwise rotation about the origin of 270°

a point (x, y ) → (- y, x ) , thus

f(x, y ) = (- y, x )

Given:

Function 'f' with two variables 'x' and 'y'.

To find:

Function rule if the parent function 'f' is rotated by 270° clockwise.

Solution:

A function given with two variables 'x' and 'y',

f(x, y) → (x, y)

If this function is rotated by 270° clockwise, the function rule will become,

f(x, y) → (-y, x)

Therefore, Option A will be the correct option.

Answer:

10

Step-by-step explanation:

In any polygon

exterior angle + interior angle = 180° , thus

exterior angle + 144 = 180 ( subtract 144 from both sides )

exterior angle = 36°

The sum of the exterior angles = 360°

Thus number of sides n is calculated as

n = 360 ÷ 36 = 10

Answer:

Step-by-step explanation:

One of the interior angles of a polygon can be found using the formula

where n is the number of sides of the polygon

From the question

One of the interior angles = 144

To find the number of sides substitute this value into the above formula and solve for n

That's

Cross multiply

We have

Expand the terms in the bracket

Group like terms

Divide both sides by - 36

That's

We have the final answer as

Hope this helps you