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Answer:

Step-by-step explanation:

x² + 10x + 24 = 0

Discriminant = 10² - 4×1×24 = 4

The discriminant is positive, so there are two distinct, real solutions.

Answer:

The answer is C) 4; Two real solutions.

Step-by-step explanation:

x2 + 10x + 24 = 0 in the function  

x2 resembles a

10x resembles b

24 resembles c

so, let's convert.

b2-4ac

(10) ^2 - 4(1)(24)

100 - 96

= 4

Answer: Pretty sure that it's y=-5/3x+8

Step-by-step explanation: Since the slope-intercept form is y=mx+b with b as the y-intercept and m as the slope. b would be 8 since that's where the line intercepts the y-axis and the slope is -5/3 (negative bc the line is slanted down)

Answer:

y = - [tex]\frac{8}{5}[/tex] x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (5, 0 ) ← 2 points on the line

m = [tex]\frac{0-8}{5-0}[/tex] = [tex]\frac{-8}{5}[/tex] = - [tex]\frac{8}{5}[/tex]

The line crosses the y- axis at (0, 8 ) ⇒ c = 8

y = - [tex]\frac{8}{5}[/tex] x + 8 ← equation of line

Answer:

A. A, B, C, D

Step-by-step explanation:

A. 4.99 ÷ 2.25 = 2.1777...

B. 5.50 ÷ 1.75 = 3.142857143

C. 10.99 ÷ 4.50 = 2.44222...

D. 2.99/0.5 = 5.98/1

Answer:

a. A, C, B, D

Step-by-step explanation:

A. 9/4 = 2.25

2.25/4.99 = 1/x

2.25x ÷ 2.25 = x

4.99 ÷ 2.25 = 2.22

$2.22 per pound

B. 7/4 = 1.75

1.75/5.50 = 1/x

1.75x ÷ 1.75 = x

5.50 ÷ 1.75 = 3.14

$3.14 per pound

C. 9/2 = 4.5

4.5/10.99 = 1/x

4.5x ÷ 4.5 = x

10.99 ÷ 4.5 = 2.44

$2.44 per pound

D. 1/2 = 0.5

0.5/2.99 = 1/x

0.5x ÷ 0.5 = x

2.99 ÷ 0.5 = 5.98

$5.98 per pound

Answer:

D

Step-by-step explanation:

the Negative sign in front of 2 shows the function is decreasing

Answer:

3/25

Step-by-step explanation:

3/5 *3/15

9/75

Simplified 3/25

Answer:

3

Step-by-step explanation:

3/5 ÷ 3/15

=> 3/5 x 15/3

=> 3/5 x 5

=> 3

Answer:

Below

Step-by-step explanation:

Let's say that x represents the mystery number

3(x + 3) = 4x - 23

3x + 9 = 4x - 23

3x - 4x = -23 - 9

x = 32

Hope this helps!

Answer:

Area of the triangle = 98.1 km²

Step-by-step explanation:

In the given triangle WXV,

m∠W + m∠X + m∠V = 180°

m∠W + 119° + 34° = 180°

m∠W = 180° - 153°

m∠W = 27°

By applying Sine rule in the given triangle,

[tex]\frac{\text{SInW}}{\text{XV}}=\frac{\text{SinX}}{\text{WV}}[/tex]

[tex]\frac{\text{SIn27}}{\text{XV}}=\frac{\text{Sin119}}{26}[/tex]

[tex]XV=\frac{26\times (\text{Sin27})}{\text{Sin119}}[/tex]

XV = 13.496 km

Area of the ΔWXV = [tex]\frac{1}{2}(\text{WV})(\text{XV})(\text{SinV})[/tex]

                               = [tex]\frac{1}{2}(26)(13.496)(0.55919)[/tex]

                               = 98.109

                               ≈ 98.1 km²

Answer:

36)12(37)0.67

Step-by-step explanation:

36)A=base×height

A=2×6

A=12

37)A=a+b/2h

A=2+6/12

A=8/12

A=0.67

Answer:

-196

Step-by-step explanation:

Di sini, berdasarkan urutan aritmatika, kita ingin mencari nilai dari suku ke-22 ditambah suku ke-20.

Dari urutan tersebut, kita bisa membuat beberapa potongan.

Suku pertama a dari barisan tersebut adalah -18 Perbedaan persekutuan d = -22 - (- 18) = -22 + 18 = -4

Untuk menghitung suku ke-20, kita menggunakan rumus untuk suku ke-n dari sebuah barisan, di mana n = 20

U20 = a + (20-1)

d U20 = -18 + 19 (-4) = -18 - 76 = -94

U22 = a + (22-1) d

U22 = -18 + 21d U22 = -18 + 21 (-4) U22 = -18 - 84 = -102 Jadi;

U22 + U20 = -102 + (-94) = -196

Answer:

Hope it will help you :)

Step-by-step explanation:

Answer:

(88°/360°) * total number of students= 110

88x=39600

x=450 students

x is the total number of students

(140/360)*450=175 students going by bus

if u like my answer mark as brainliest

Answer:

4.73 - 0.35 = 4.38. Mrs Applebaum needs to pay $4.38

Step-by-step explanation:

Answer:

$4.38

Step-by-step explanation:

$4.73 is the full price. She has a coupon for 35 cents OFF which means you have to subtract .35 from 4.73. 4.73 - .35 = 4.38

Answer:

127

Step-by-step explanation:

[(-33) + 46 + 68] - (15 - 61)

(114-33)-(-46)

81+46

127

Answer:

4x - 6y -3

Step-by-step explanation:

4x−2(3y)−3

Distribute

4x - 6y -3

Answer:

4x−6y−3

Step-by-step explanation:

All you really have to do is multiply -2 time 3y and  thats it.

Answer:

18.06

Step-by-step explanation:

law of cos()

b^2 = (16.5)^2 + (17.1)^2 - 2(16.5)(17.1)cos(65)

[tex]\frac{3\sqrt{2}\sqrt{-3135\cos \left(65^{\circ \:}\right)+3137}}{10}\quad \begin{pmatrix}\mathrm{Decimal:}&18.06035\dots \end{pmatrix}[/tex]

Answer:

Step-by-step explanation:

The answer is C.

That's another way of using the vertical line test. Put a ruler perpendicular to the x axis and going through a point. If the ruler hits only one point, then then if all the points plotted do the same thing, then the points make a function.

C says the same thing. Only 1 element in the domain (x) can be associated with 1 y value (the range). If there is more than 1 y value, then you do not have a function.

Answer:

The manatee was swimming very passively when all of a sudden it saw a  parrot fish! The parrot fish was considered incredibly rare where the manatee lived and was very playful with manatees. The manatee chased the parrot fish but as if playing tag, the parrot fish agilely swam farther and farther away. At this point the manatee and parrot had been playing "tag" for 300 seconds and were 1000 feet away from the dock where the manatee lived. Eventually when the manatee and parrot fish hit 400 seconds, the manatee became exhausted and decided to head back to the dock but all of a sudden the parrot fish slapped it with its fins! Unable to take the provocation the manatee became filled with vigor once again and started playing again but at the 500 mark it truly became exhausted and no longer could play regardless of what the parrot fish did and headed back to the dock. It took 150 seconds to get back to the dock and it had been away from the dock for 650 seconds.

Answer:

-11 - 5z = 6(5z + 4)

-11 - 5z = 30z + 24

-35 = 35z

z = -1

0 = -5y - 2y

5y = -2y

5 = -2

no solutions

Answer:

Step-by-step explanation:

This is a fascinating question. It turns out to be true because of the relationship between a 30 degree angle and a 60 degree angle

The answer is that the product of sin30*sin60 = cos(30)*cos(60). This happens because sin(60) = cos(90-60) = cos(30)

Other angles will do the same thing sin36 * sin54 = cos(54)*cos(36)

Answer:

B) Associative Property of Multiplication

Step-by-step explanation:

*if it's wrong idk how, but I apologise*

Answer:

8 hours

Step-by-step explanation:

3 1/5 cups, he drinks 2/5 cups every hour

to find the number of hours he has water for, divide the 2 numbers

3 1/5 = 16/5

16/5 divided by 2/5 is equal to 16/5 times 5/2

80/10 equals 8, so he will have water for 8 hours

Answer:

3,440 strawberries

Step-by-step explanation:

Because of PEMDAS you want to start with the parentheses, and want to treat them like the distributive property.

So,

43 x 2 = 86

Then,

86 x 40 = 3440.

I hope that helps!!

Answer: 3440 strawberries on the farm.

Step-by-step explanation: (43)(2)⋅40                                                                     (86)(40)                                                                                                                     3440

Answer:

18 feet

Step-by-step explanation:

To convert : multiply the length value by 3

=> 6 x 3

=> 18 feet

Answer:

Step-by-step explanation:

Given an angle θ₁ located on in the first quadrant and sinθ₁ = 1/2, we are required to calculate the value of cosθ₁.

Firstly, we need to find the value of the angle θ₁ from the expression sinθ₁ = 1/2.

Given sinθ₁ = 1/2

Take the arcsin of both sides

arcsin(sinθ₁) = arcsin(1/2)

The arcsin will cancel out the sin at the left hand side to have only θ₁. Hence;

θ₁  = arcsin(1/2)

Using the calculator, θ₁ = 30°

Since we are to find the value of cosθ₁

cosθ₁ = cos30°

cos30° = √3/2

Hence the value of cosθ₁ is √3/2

Answer:

60/61

Step-by-step explanation:

60/61

khan. #gayrights

Answer:

Value of x = 20°

Angle B = 60°

Exterior angle to B = 300°

Step-by-step explanation:

Given:

Angles of triangle.

A = 2x

B = 3x

C = 4x

We know that,

A + B + C = 180°

2x + 3x + 4x = 180°

9x = 180°

x = 20°

Value of x = 20°

Angle B = 3x

Angle B = 3(20°)

Angle B = 60°

Exterior angle to B = 360° - 60°

Exterior angle to B = 300°

This building is basically a cylinder with a hemisphere on top. Let d be the diameter of the hemispherical roof. This is also the height of the entire building as the greatest height is this value (which is located at the center of the building)

The hemisphere itself is r = d/2 meters high, which is the radius of the roof. The cylinder portion's height must be d - r = d - d/2 = 2d/2 - d/2 = d/2 = r meters. So basically the cylinder and the hemisphere both have the same height of r.

At the same time, the cylinder and hemisphere also have the same radius r, or else the roof wouldn't fit on the cylinder.

------------------------------

Volume of cylinder = pi*r^2*h = pi*r^2*r = pi*r^3

Note how I replaced h with r and simplified.

Also,

Volume of hemisphere = (1/2)*(volume of sphere)

Volume of hemisphere = (1/2)*( (4/3)*pi*r^3 )

Volume of hemisphere = (2/3)*pi*r^3

------------------------------

Add the two volume expressions

total volume = (volume of cylinder) + (volume of hemisphere)

total volume = (pi*r^3) + (  (2/3)*pi*r^3 )

total volume = (3/3)pi*r^3 + (2/3)pi*r^3

total volume = (5/3)pi*r^3

------------------------------

Set this equal to 43510 and solve for r

(5/3)pi*r^3 = 43510

pi*r^3 = (3/5)*43510

pi*r^3 = 26106

r^3 = 26106/pi

r = (26106/pi)^(1/3)

r = 20.2549023450428

The building has a radius of approximately 20.2549023450428 meters

------------------------------

We can now compute the area of the circular floor

area = pi*r^2

area = pi*(20.2549023450428)^2

area = 1,288.87316044698

Round this however you need to

Answer:

Step-by-step explanation:

For number 11)

[tex]\frac{x+3}{4} = 1[/tex] cross multiply expressions

4 = 3+x subtract 3 from both sides

1 = x

for number 14)

[tex]\frac{x+8}{12} = 1[/tex] cross multiply expressions

x+8 = 12 subtract 8 from both sides

x = 4

for number 16)

[tex]\frac{8+x}{3} = 10[/tex] cross multiply expressions

8+x = 30 subtract 8 from both sides

x = 22

for number 19)

[tex]\frac{-9 + b}{32} = -1[/tex] cross multiply expressions

-9 + b = -31 add 9 to both sides

b = -22

Answer:

coordinates of point g is ( -6, 14)

Step-by-step explanation:

The coordinates of the point which divides the point (x1,y1) and (x2,y2) in m:n ratio is given by (nx1+mx2)/(m+n), (ny1+my2)/(m+n).

___________________________________________

given point

F(-1, -1) to H(-8, 20)

ratio : 5:2

the coordinates of point g is

(2*-1+5*-8)/(5+2), (2*-1+5*20)/(5+2)

=> (-2 -40/7 , -2+100/7)

=> (-42/7, 98/7)

=>( -6, 14)

Thus ,  coordinates of point g is ( -6, 14)