1) Solve for x
4x + 3 = 3x - 5
A) 8
C) -8
D) 2
B) -2

Answer:

Step-by-step explanation:

The discriminant must be zero.

Discriminant = (-48)^2 - 4*9k = 2304 - 36K

36k = 2304

k = 64

Using the square of a subtraction, it is found that k = 64.

It is a notable product, given by:

[tex](ax - b)^2 = a^2x^2 - 2abx + b^2[/tex]

In this problem, the expression is:

[tex]9x^2 - 48x + k[/tex]

We want it to be the square of a binomial, hence:

[tex]a^2x^2 - 2abx + b^2 = 9x^2 - 48x + k[/tex]

Then, comparing both sides, first the value of a is found:

[tex]a^2 = 9[/tex]

[tex]a = \sqrt{9}[/tex]

[tex]a = 3[/tex]

Then, with the second term, the value of b is found.

[tex]2ab = 48[/tex]

[tex]6b = 48[/tex]

[tex]b = \frac{48}{6}[/tex]

[tex]b = 8[/tex]

Finally, the value of k is found.

[tex]k = b^2 = 8^2 = 64[/tex]

You can learn more about the square of a subtraction at https://brainly.com/question/9239489

Answer:Other person is correct. here are the summarized answer for my unit test right triangles and trigonometry unit test

1. side lengths 24, 32, and 40

right

2.  a is right angle m b = 45

14\/2

3.quilt squares hypotenuse 18

9\/2

4.what are the values of the variables in the triangle below  y,  x,  30 degrees, 12\/3

x=18 y=6\/3

5.cos_=9/5

63.26

6. victor drives 300 meters up hill

292.3

7. the students in Mr. Collins class 59 degrees    63 feet

105 feet

8. an airplane pilot        5172 meters

912

9.  to find the height of a pole  140 feet away     4 feet tall    44 degrees

139 feet

10. art piece      21in

191.0

11. a grid shows the positions of a subway     (-7,-1)      (-3,4)

6

12. triangle def m d 44   m d 61       ef 20 in

27.8

13.measure of j     16    103 degrees   11

42

14. triangle fgh   fh 8      fg 13       m f 72 degrees

35.9

15.  in triangle xyz    xy 13     yz  20      xz 25

31

Won't do written part.

Step-by-step explanation:

Answer:

[tex]y = -x -1[/tex]

Step-by-step explanation:

Given

Passed through (-5,4)

Parallel to: y=-x + 6

Required

Determine the line equation

If it is parallel to: y=-x + 6, then it means that they have the same slope.

A linear equation y = mx + b has the slope m.

So, by comparison of y = mx + b  to y = -x + 6

[tex]m = -1[/tex]

The line equation is then calculated as:

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

Where

[tex]m = -1[/tex]

[tex](x_1,y_1) = (-5,4)[/tex]

So:

[tex]y = -1(x - (-5)) + 4[/tex]

[tex]y = -1(x +5) + 4[/tex]

[tex]y = -x -5 + 4[/tex]

[tex]y = -x -1[/tex]

Answer:

A, verticle angles

Step-by-step explanation:

verticle angles are pairs of opposite angles made by two intersecting lines.

Answer:

15 years

Step-by-step explanation:

Create an equation where x is the number of years

32,000 + 600x = 56,000 - 1000x

Solve for x:

600x = 24,000 - 1000x

1600x = 24,000

x = 15

So, it will take 15 years for both cities to have the same number of residents

Answer: answer is x=15

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-2, -3 and -2, 4 have the same x coordinate, so you only need to find the difference between -3 and 4.

Answer:

there are no seven in there

Answer:

500

Step-by-step explanation:

3500/7

Answer:

0.01

Step-by-step explanation:

One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.

Answer:

Step-by-step explanation:

10/100

Answer:

[tex]4.5^{7}[/tex]

Step-by-step explanation:

Just count how many 4.5 there are.

4.5^7

jwnnd  jwdjndw jnfjwnjj fjnwjnfs cn jjwj wmc sknkw c mssc kskwc

Answer: 6x + 13y + 17.5

Step-by-step explanation:

Answer:

The age of Joey is 4 years  and

The age of Martina is 22 years .

Step-by-step explanation:

Given as :

Martina is 18 years older than her Joey

In 5 years, Martina will be three times older than Joey

Let The age of Martina = M years

And The age of Joey = J years

Now, According to questions

M = J + 18          ........1

(M+5) = 3 × (J+5)

Or, M + 5 = 3 J + 15

Or, M - 3 J = 15 - 5

∴ M - 3 J = 10                ..........2

Solving eq 1 and 2

Put the value of M from eq 1 into eq 2

So, (J + 18) - 3 J = 10

Or, J - 3 J = 10 - 18

Or, - 2 J = - 8

∴ J =

i.e J = 4 years

So, The age of Joey = J = 4 years

Now, Put the value of J in eq 1

So, M = J + 18

Or, M = 4 + 18

∴ M = 22 years

So, The age of Martina = M = 22 years

Hence,The age of Joey is 4 years  and The age of Martina is 22 years . Answer

Answer:

answer below:)

Step-by-step explanation:

There are 5280 feet in one mile. So, half a mile is equal to 0.5 x 5280 = 2640 feet.

Answer:

150

Step-by-step explanation:

5x5=25

25 is the surface area of one of the sides.

25x6=150

150 is the surface area of the whole cube

Answer: 15 inches

Step-by-step explanation:if 6 units is 10 cm than half of that is 5 so add those together and BOOMM 15 ur welcome

Answer:

1.5

Step-by-step explanation:

answer:

2/5=0.4

2/5=40%

step-by-step explanation:

to get 2/5 as a decimal you can simply just divide 2÷5 which is 0.4

and from there you can use 0.4 to find the percentage multiply 0.4 x 100 which is 40

good luck :)

hopefully, this helps

have a great day !!

Answer:

I think it is the last one

Answer:

Step-by-step explanation:

0, 78, 99, 58, 65, 0, 47, 38, 227

Mean -68

Median - 58

Mode - 0

Answer:

$10300

Step-by-step explanation:

Given data

Marked price= Rs 10,000

discount= 10%

VAT= 13%

Let us compute the discount and the VAT

Discount

=10/100*10,000

=0.1*10,000

=$1000

VAT

=13/100*10,000

=0.13*10,000

=$1300

Hence the cost of the good will be

=10000-1000+1300

=$10300

Answer:

EF

Because if line EF continued on, it would go across line DE.

Answer:

AD is the answer i would go with but it could be CF or BE

Step-by-step explanation:

Answer:

sometimes a square could be a parallelogram too and a rhombus and a normal parallelogram

Step-by-step explanation:

it has two parallel pairs

Answer:

Hope this will help you. Here you have to use the formula P = 2(l+b)

The measure of <1 and <2 are  alternate exterior angles

From the given diagram, the horizontal lines are parallel to each other with a transversal.

The alternate angles are formed from the shape formed by a letter Z. From the given diagram, the measure of <1 and <2 are  alternate exterior angles

Learn more on exterior angles here: https://brainly.com/question/17972372

the angle of the tower would be the coifficent