Which is a factor of x2 + 5x - 24?
(x - 6)
(x + 6)
(x-8)
(X + 8) ​

Answer:

The answer would be -2.

Step-by-step explanation:You have to look at where the line is hitting.It has to be perfectly on the corners of the square. The bottom of the y-intercept is always negative and the top is always positive but for the x-intercept the right side is positive and the left side is negative. I hope that helped you!!

Christopher's distance from his starting point is 3.6 km

Since Christopher initially walks South 5 km and then walks on a bearing of of 036º until he is due east of his starting point.

His distance South, his distance from his starting point and his distance from his 036º bearing, all form a right-angled triangle.

This right-angled triangle with opposite side to the angle 036º, as his distance from his starting point, x and the adjacent side to the angle 036º, as his distance 5 km south.

Since we have both the opposite and adjacent sides of a right-angled triangle,

From trigonometric ratios,

tanФ = opposite/adjacent

tanФ = x/5 km

Now Ф = 036º

So, tan36º = x/5km

x = 5 km(tan36º)

x = 5 km (0.7265)

x = 3.633 km

x ≅ 3.6 km to 1 decimal place.

So, Christopher's distance from his starting point is 3.6 km.

Learn more about bearing here:

https://brainly.com/question/11684993

Answer:

Both T+4 and T-4 are the same distance away from 4

T would be the launch time of the rocket...

T - 4 is 4 units of time (seconds)  prior to launch...

T+ 4 is 4 units of time (seconds) after the launch

Step-by-step explanation:

Answer:

around 4.1

Step-by-step explanation:

Using Pythaogrean theorem we get sqrt 32 or 4sqrt2 for the diagonal of the square.

To get x we can use Pythagorean theorem again to set up an equation,

32 + x^2 = 49

This gives us x = sqrt17, which is approximately 4.1231 or around 4.1

Answer:

Step-by-step explanation:

Answer:

r÷12

Step-by-step explanation:

quotient means division

r÷12

Answer:

a)sin153°=0.454

cos153°=   -0.891

tan153°=   -0.510

b)sin 204°=  -0.407

cos204°=    -0.914

tan204° =   0.445

c)sin320°=   -0.643

cos320° =  0.766

tan320°=  -0.839

Step-by-step explanation:

Answer:

B. 9.35

Hope this helps...Have a good day!!

Answer:

Cost of a play station game = $11.3

Cost of each water ride = $22.6

Step-by-step explanation:

Entrance tickets = $89.97

Royal meal = $10.85

Cost of a play station game = x

Cost of each water ride = 2x

Find the cost of a water ride

Entrance tickets = Royal meal + 1 play station game + 3 water rides

89.97 = 10.85 + 1(x) + 3(2x)

89.97 = 10.85 + x + 6x

89.97 = 10.85 + 7x

89.97 - 10.85 = 7x

79.12 = 7x

x = 79.12/7

x = 11.302857142857

Approximately to the nearest tenth

x = $11.3

Cost of a play station game = x = $11.3

Cost of each water ride = 2x

= 2(11.3)

= $22.6

Answer:

5

Step-by-step explanation:

Prime factorize 20 , 40 , 35

20 = 2 * 2 * 5

40 = 2 * 2 * 2 * 5

35 = 5 * 7

HCF = 5  

HCF is the common factor found in 20 , 40 and 35  

Answer:

Below

Step-by-step explanation:

The HCF or GCF of these number would be 5!

5 x 4 = 20

5 x 8 = 40

5 x 7 = 35

Hope this helps!

Answer:

(x+11)(x-11)

Step-by-step explanation:

Hello!

We are given the expression x²-121, and we want to factor it

The expression is a difference of squares expression.

The formula for the difference of squares is written as a²-b² can be factored as (a-b)(a+b)

121 is 11 squared, and x² is x squared

So that means that a=x, and b=11 in this case

Now substitute those values into the formula

a²-b²=x²-121=(x+11)(x-11)

Hope this helps!

Answer:

(x-11)(x+11)

Step-by-step explanation:

x^2 -121

x^2 -11^2

This is the difference of squares  a^2 - b^2 = (a-b)(a+b)

(x-11)(x+11)

For a regular polygon with n sides, interior angle

= [(n-2) × 180°]/n

So, interior angle of this regular heptagon shape

= [(7 - 2) × 180°]/7

= (5 × 180°)/7

= 900°/7

= (900/7)°

= 128.571° [approximately]

Answer:

hello,

Step-by-step explanation:

center angle : 360°/7 °

half interior angle=0.5*(180-360/7)=900/14=450/7 = 64 ° +2/7° ≈64.3 °

interior angle= 128°+4/7°≈128.6 °

We can simplify the wheel, thinking of it as a simple circle, then using general knowledge about circles, we can solve this.

1) Remember that one rotation of the wheel will be equal to the perimeter of the wheel, and for a circle of radius R, the perimeter is:

[tex]P = 2*3.14*R[/tex]

We know that our wheel has a radius of 5cm, then R = 5cm, we will get:

[tex]P = 2*3.14*5cm =31.4 cm[/tex]

Then one full rotation of the wheel is equal to

2) Not that we know the distance that the wheel does in one single rotation, the total number of rotations needed to do a distance of 50km is equal to the quotient between 50km and the distance that the wheel moves in one rotation.

But first we need to have both values in the same unit system.

Knowin that:

1km = 1000m

1km = 100*1000cm = 100,000 cm

Then 50km = 50*(100,000 cm) = 5,000,000 cm

Now we can solve the quotient:

[tex]\frac{5,000,000cm}{31.4cm} = 159,235.7[/tex]

This means that the wheel needs to do 159,235.7 rotations to move a distance of 50km.

If you want to learn more, you can read:

https://brainly.com/question/11137975

[tex]\\ \sf\longmapsto \dfrac{2}{3}+f=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{1}{5}-\dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{3-10}{15}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{-7}{15}[/tex]

Answer:

D. -7/15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

f+ 2/3-2/3= 1/5-2/3

Step 2: Subtract 2/3 from both sides.

f= -7/15

Ans : 22

if my ans wrong im srry

Answer:

25 +28+x=180

53+x=180

x=180_53

x=127

Answer:

Answer:

$46.50

Step-by-step explanation:

pls mark brainliest

Answer:

[tex]t = \frac{ v_{1} - v_{0}}{a} \\[/tex]

Step-by-step explanation:

[tex]a = \frac{v_{1} - v_{0}}{t} \\ a \times t = v_{1} - v_{0} \\ \frac{at}{a} = \frac{ v_{1} - v_{0} }{a} \\ t = \frac{ v_{1} - v_{0}}{a} \\ [/tex]

Answer:

It is the last option.

Jordan needs 1 1/2 cups of diced chicken for 3 salads.

To make this easy for you.

1. start on the x axis which is number of salads.

2. Go to the number 3 (of the x axis which is the number of salads)

3. Find your way up to the point marked.

4. see what is your number in the y-axis (in this case it is 1 1/2.

Step-by-step explanation:

I hope it helps!

Answer:

f(0) =2

Step-by-step explanation:

f (x) = -x + 2

Let x = 0

f(0) = -0+2

f(0) = 2

Answer:

f(0) = 2

Step-by-step explanation:

Substitute x = 0 into f(x)

f(0) = - 0 + 2 = 0 + 2 = 2

Answer:

it is 80⁰

Step-by-step explanation:

cuz the it vertical angle

and to find a just get

180-80-70

Answer:

7 and - infinity

Step-by-step explanation:

The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.

Answer:

4.75t + 7.50b = 790

b = 2t

Step-by-step explanation:

Let t represent the number of tacos that he sold, and let b represent the number of burritos he sold.

4.75t can represent how much money he earned from selling tacos, and 7.50b can represent how much money he earned from selling burritos.

Create an equation that adds these together and sets them equal to 790:

4.75t + 7.50b = 790

Next, create another equation that represents how there were twice as many burritos sold than tacos.

This can be represented by b = 2t.

The system of equations is:

4.75t + 7.50b = 790

b = 2t

Answer:

y = -3x+9

Step-by-step explanation:

Parallel lines have the same slope

y = -3x+2  

This is in slope intercept form where y =mx+b where m is the slope

The slope is -3

y = -3x+b

Using the point (2,3)

3 = -3(2)+b

3 = -6+b

Add 6 to each side

3+6 = b

9=b

y = -3x+9

Answer:

slope (m) = -3

3= -3(2)+b

b = 9

y=mx+b → y= -3x+9

OAmalOHopeO

Answer:

15x^9

Step-by-step explanation:

A=l x w

5x^4 times 3x^5 is basically 3*5*x^4*x^5

when you multiply exponents with the same base, you add the exponents, so it becomes 15x^9

Answer:

x-15

y 42

Step-by-step explanation:

Answer:

outliers

explanation:

Answer:

the right answer is

no d (outliers)

Answer:

A. 90 degrees

Step-by-step explanation:

Look this picture :]

Answer: [tex]V=0.0028278\ m^3[/tex]

Step-by-step explanation:

Given

Length of the pipe [tex]l=4\ m[/tex]

Inside diameter of the pipe [tex]d_i=4\ cm[/tex]

Outside diameter of the pipe [tex]d_o=5\ cm[/tex]

Volume of the pipe

[tex]\Rightarrow V=\dfrac{\pi }{4}[d_o^2-d_i^2]\\\\\text{Insert the values}\\\\\Rightarrow V=\dfrac{\pi}{4}[5^2-4^2]\times 10^{-4}\times 4\\\\\Rightarrow V=28.278\times 10^{-4}\ m^3\\\\\Rightarrow V=0.0028278\ m^3[/tex]

Part (i)

I'm going to use the notation T(n) instead of [tex]T_n[/tex]

To find the first term, we plug in n = 1

T(n) = 2 - 3n

T(1) = 2 - 3(1)

T(1) = -1

The first term is -1

Repeat for n = 2 to find the second term

T(n) = 2 - 3n

T(2) = 2 - 3(2)

T(2) = -4

The second term is -4

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

Part (ii)

Plug in T(n) = -61 and solve for n

T(n) = 2 - 3n

-61 = 2 - 3n

-61-2 = -3n

-63 = -3n

-3n = -63

n = -63/(-3)

n = 21

Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).

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

Part (iii)

We're given that T(n) = 2 - 3n

Let's compute T(2n). We do so by replacing every copy of n with 2n like so

T(n) = 2 - 3n

T(2n) = 2 - 3(2n)

T(2n) = 2 - 6n

Now subtract T(2n) from T(n)

T(n) - T(2n) = (2-3n) - (2-6n)

T(n) - T(2n) = 2-3n - 2+6n

T(n) - T(2n) = 3n

Then set this equal to 24 and solve for n

T(n) - T(2n) = 24

3n = 24

n = 24/3

n = 8

This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.

Answer:

3x=10

Step-by-step explanation:

x=10-3

x=7

i hope this answer will help u

Answer:

4x = 47x+2

Step-by-step explanation:

Using the one–to–one property, you can set x = 7x + 2.