Find the slope of the line that passes through (3, 8) and (5, 9).

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

Answer: 2⁵

Explanation: Since these two powers have the same base of 2,

you can multiply them together by simply adding their exponents.

When we do that, we get 2⁵.

A common mistake in this problem would be to multiply

the bases together and give an answer of 4⁵.

The 2's can't be multiplied together however because

they are  not coefficients, they are bases.

When applying your exponent rules, your base will never change.

Answer:

divide 8.4 with 3

the answer is 2.8

Answer:

Yes, because they both have two sets of parallel lines.

Hope that helps!

Step-by-step explanation:

Answer: 35.3

Step-by-step explanation:

Answer:

35.3

Step-by-step explanation:

Answer:

x=45 (degrees)

Step-by-step explanation:

(2x+45)+x= 180 (linear pair)

3x+45=180

3x=180-45

3x=135

x=45 (degrees)

Answer:

x=45  

Step-by-step explanation:

(2x+45)+x= 180                                     (linear pair)

3x+45=180

3x=180-45

3x=135

x=45

Answer: 7 root 3 or simplified = 12.12435565 = 12.12 (2 d.p)

Step-by-step explanation:

tan(30) = 7 / x

x= 7/ tan(30)

x= 7 root 3

Answer:

A. the first quartile represents the median of the lower half of the data set

B. the third quartile represents the median of the upper half of the data set

Step-by-step explanation:

Answer:

Step-by-step explanation:

<Q is common to both triangles.

130 / 40 = 3.25

Call DQ = x

40/130 = x / (x + 72)       Cross multiply

40*(x + 72) = 130*x

40x + 2880 = 130x      Subtract 40 x from both sides

2880 = 90 x                 Divide by 90

x = 32

(72 + 32)/32 = 104/32 = 3,25

The ratios are the same.

Therefore the triangles are similar by SAS

Answer:

C

Step-by-step explanation:

It is C

It means 7 x 5

you have the 7 add up 5 times

Step-by-step explanation:

cluldnt get the answer for one

Answer:

If you are asking the area it is 12

Step-by-step explanation:

Answer:

Area: 4 x 3 = 12m

Perimeter: 4 + 3 + 4 + 3 = 14m

Step-by-step explanation:

I hope this helps u! :D

Answer:

c. parallelogram

Step-by-step explanation:

The given figure is a parallelogram.

A quadrilateral is a four-sided polygon, having four edges and four corners.

In the given quadrilateral, opposite sides are parallel.

Opposite sides are congruent.

Opposite angles are congruent.

Same-Side interior angles are supplementary.

Each diagonal of a parallelogram separates it into two congruent triangles.

The diagonals of a parallelogram bisect each other.

Hence, the given figure is a parallelogram.

To learn more on Quadrilateral click:

https://brainly.com/question/29934440

#SPJ2

Answer:

I guess y is also 0 not sure

Answer:

b

Step-by-step explanation:

xhxhdjdhxhdhehrhfhchxhdjeurjr

Answer:

Look below

Step-by-step explanation:

-x*3x*2x=6x^3

-6x^3<900

-(cube root both sides)

-6x<9.654893846

-divide by 6

-x=1.609148974

And since 1.609148974 is less than 5, that means that X<5 is correct and hence proved

For given cuboid, x < 5

"It is a three-dimensional geometric structure that has six rectangular faces, twelve edges and eight vertices."

V = l × w × h

where, l: length of the cuboid

w: width of the cuboid

h: height of the cuboid

For given example,

We have been given the total volume of the cuboid is less than 900 cm^3

⇒ V < 900 cm³

the length of the cuboid (l) = 3x

the width of the cuboid (w) = 2x

the height of the cuboid (h) = x

Using the formula of the volume of the cuboid,

⇒ V < 900

⇒ l × w × h < 900

⇒ (3x) × (2x) × (x) < 900

⇒ 6x³ < 900

⇒ x³ < 150

⇒ x < 5.3

⇒ x < 5

Therefore, for given cuboid, x < 5

Learn more about the volume of the cuboid here:

https://brainly.com/question/23118276

#SPJ2

Answer: 4

Step-by-step explanation:

If you have parallel lines then the slopes are equal.

We know that slope for line m is 4.

So slope for line "n" is also 4

Answer:(6-[tex]\sqrt{7}[/tex][tex].^{2}[/tex]

Step-by-step explanation:Ignore the point, put it withou the point

Answer:13 inches

Step-by-step explanation:

Answer: Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals.)

Step-by-step explanation:

Answer:

Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals.)

I hope it's helpful!

Answer and Step-by-step explanation:

Essentially, the figure FEHG got scaled by a factor of 1.5, and turned into BADC

So 2.4 times 1.5 is 3.6

3.6 = x

Hope this helps! #teamtrees #WAP (Water And Plant)

Answer:

The x would be 3.6

Step-by-step explanation:

If you see the relation or ration between the ABCD triangle and the EFGH then we can see that the side 2 is multiplied by 1.5 to get to 3. so you do the same thing to 2.4 and multiple that by 1.5 and 3.6.

Answer:

D. 24m^17

Step-by-step explanation:

Answer:

D. 24m^17

Step-by-step explanation:

Answer:

Height = [tex]\frac{5}{\pi }[/tex]

Step-by-step explanation:

V = Volume

r = Radius

h = Height

[tex]h=\frac{V}{\pi *r^{2} }[/tex]

[tex]h=\frac{45}{\pi *3^{2} }[/tex]

[tex]h=\frac{5}{\pi}[/tex]

I hope this helps

Answer:

- 12k² + kl

Step-by-step explanation:

Given

7kl - 3k(4k + 2l) ← distribute parenthesis by - 3

= 7kl - 12k² - 6kl ← collect like terms

= - 12k² + kl

Answer:

180

Step-by-step explanation:

That's the answer.

.

Answer:

x=1 or x=-2 or x=3

Step-by-step explanation:

your answer is most likely one of the three

sorry if its incorrect :9

Answer:

172.7

Step-by-step explanation:

2590 divided by 15 = 172.6666667

7 is greater than five so the 6 gets rounded up which makes the answer 172.7!

2590 divided by 15 can be calculated by division operation and it will be equal to 172

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

To divide 2,590 by 15, we can think of it as breaking up 2,590 into 15 equal parts. Each of these parts will have a value of 172, since 2,590 divided by 15 is equal to 172.

In mathematical terms, division is the inverse operation of multiplication. When we divide 2,590 by 15, we are asking, "How many times does 10 fit into 2,590?" The answer is 50, so 2,590 divided by 15 is equal to 172.

So, in summary, 2,590 divided by 15 is equal to 172, and this means that 2,590 can be evenly divided into 15 parts, each of which has a value of 172.

To know more about division check:

https://brainly.com/question/21416852

#SPJ5

Answer:

I have used mathematics at the store when i am buying something.

Step-by-step explanation:

Answer:

[tex]X=\$519.48[/tex]

Step-by-step explanation:

From the question we are told that

Loan 1 [tex]X_1=\$400[/tex]

Loan 1 due [tex]t_1=95days[/tex]

Loan 2 [tex]X_2=\$700[/tex]

Loan 2 due[tex]t_2=0days[/tex]

Payment [tex]Y=\$600[/tex]

Worth of money [tex]w=6\%[/tex]

Payment due [tex]t=30days[/tex]

Focal date [tex]t_f=125days[/tex]

Generally [tex]\$400[/tex] was due 95days ago

Therefore

[tex]125+90=220days[/tex](total days to consider)

Therefore

[tex]300+400 =700[/tex] is due today

125days left

Given

600 due in 30days

[tex]125-30=95days[/tex]

Generally the Final payment is mathematically given by

[tex]400(1+ 0.06*\frac{220}{365} ) + 700(1+0.06*\frac{125}{365} )=600(1+0.06*\frac{95}{365} )+X[/tex]

[tex]X=1128.9692 - 609.3698[/tex]

Therefore the

[tex]X=\$519.48[/tex]

Answer:

idek

Step-by-step explanation:

Answer:

the answer is p

Step-by-step explanation: