help plss i will make you brainl

Answer:

b

Step-by-step explanation:

Answer:

x+y-5=0

Step-by-step explanation:

let eqn Perpendicular to eqn 5y-5x=-20 be -5x-5y+k=0------(1)

eqn (1) passes through (-3,8)

-5×-3-5×8+k=0

15-40+k=0

K=25

since required eqn perpendicular to 5y-5x=-20 is -5x-5y+25=0

x+y-5=0ans.

Answer:

(a) 52°

(b) 322°

Step-by-step explanation:

(a) The details of the circle are;

The diameter of the circle = AOC

The center of the circle = Point O

The point the line AT cuts the circle = Point B

The point the tangent PT touches the circle = Point C

Angle ∠COB = 76°

We have that angle AOB and angle COB are supplementary angles, therefore;

∠AOB + ∠COB = 180°

∠AOB = 180° - ∠COB

∴ ∠AOB = 180° - 76° = 104°

∠AOB = 104°

OA = OB = The radius of the circle

Therefore, ΔAOB  =  An isosceles triangle

∠OAB = ∠OBA by base angles of an isosceles triangle are equal

∠AOB + ∠OAB + ∠OBA = 180° by angle summation property

∴ ∠AOB + ∠OAB + ∠OBA = ∠AOB + ∠OAB + ∠OAB = ∠AOB + 2×∠OAB = 180°

∠OAB = (180° - ∠AOB)/2

∴ ∠OAB = (180° - 104°)/2 = 38°

∠TAC = ∠OAB = 38° by reflexive property

AOC is perpendicular to tangent PT at point C, by tangent to a circle property, therefore;

∠TCA = 90° and ΔTCA = A right triangle

∠TAC + ∠ATC + ∠TCA = 180° by angle sum property

∠ATC = 180° - (∠TAC + ∠TCA)

∴ ∠ATC = 180° - (38° + 90°) = 52°

Angle ATC = 52°

(b) In ΔABC, ∠ABC = Angle subtended by the diameter = 90°

∴ ΔABC = A right triangle

∠ABC and ∠TBC are supplementary angles, therefore;

∠ABC + ∠TBC = 180°

∠TBC = 180° - ∠ABC

∴ ∠TBC = 180° - 90° = 90°

∠TCB = 180° - (∠TBC + ∠ATC)

∴ ∠TCB = 180° - (90° + 52°) = 38°

The bearing of B from C = (360° - 38°) = 322°.

Answer:

1,968

Step-by-step explanation:

Let x₁ and x₂, y₁ and y₂, and z₁ and z₂ represent the 3 pairs of siblings, and let;

Set X represent the set where the siblings x₁ and x₂ sit together

Set Y represent the set where the siblings y₁ and y₂ sit together

Set Z represent the set where the siblings z₁ and z₂ sit together

We have;

Where the three siblings don't sit together given as [tex]X^c[/tex]∩[tex]Y^c[/tex]∩[tex]Z^c[/tex]

By set theory, we have;

[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = [tex]\left | X^c \cup Y^c \cup Z^c \right |[/tex] =  [tex]\left | U \right | - \left | X \cup Y \cup Z \right |[/tex]

[tex]\left | U \right | - \left | X \cup Y \cup Z \right |[/tex] = [tex]\left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)[/tex]

Therefore;

[tex]\left | X^c \cap Y^c \cap Z^c \right | = \left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)[/tex]

Where;

[tex]\left | U\right |[/tex] = The number of ways the 3 pairs of siblings can sit on the 7 chairs = 7!

[tex]\left | X\right |[/tex] = The number of ways x₁ and x₂ can sit together on the 7 chairs = 2 × 6!

[tex]\left | Y\right |[/tex] = The number of ways y₁ and y₂ can sit together on the 7 chairs = 2 × 6!

[tex]\left | Z\right |[/tex] = The number of ways z₁ and z₂ can sit together on the 7 chairs = 2 × 6!

[tex]\left | X \cap Y\right |[/tex] = The number of ways x₁ and x₂ and y₁ and y₂ can sit together on the 7 chairs = 2 × 2 × 5!

[tex]\left | X \cap Z\right |[/tex] = The number of ways x₁ and x₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!

[tex]\left | Y \cap Z\right |[/tex] = The number of ways y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!

[tex]\left | X \cap Y \cap Z\right |[/tex] = The number of ways x₁ and x₂,  y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 2 × 4!

Therefore, we get;

[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 7! - (2×6! + 2×6! + 2×6! - 2 × 2 × 5! - 2 × 2 × 5! - 2 × 2 × 5! + 2 × 2 × 2 × 4!)

[tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex] = 5,040 - 3072 = 1,968

The number of ways where the three siblings don't sit together given as [tex]\left | X^c \cap Y^c \cap Z^c \right |[/tex]  = 1,968

Answer:

C) Chloroplast; thylakoid membrane

Step-by-step explanation:

The question is a biological science question

The light-dependent reactions also known as the light reactions take place at the location site of the chlorophyll of the plant cell, within the chloroplast thylakoid membrane, and involves the energizing of the electrons within the pigment molecules, the electrons are then transferred through a transport chain within the thylakoid membrane

The dark reactions take place inside the stroma

Therefore, the correct option is chloroplast; thylakoid membrane

Answer:

2, 3, 7 or 8

Step-by-step explanation:

Answer:

13.95 units

Step-by-step explanation:

[tex] \sin \: 35 \degree = \frac{8}{x} \\ \\ \therefore \: x \: = \frac{8}{\sin \: 35 \degree} \\ \\ \therefore \: x \: = 13.9475744 \\ \\ \therefore \: x \: = 13.95 \: units[/tex]

Given:

The vertices of a triangle are D(1,5), O(7,-1) and G(3,-1).

To find:

The perpendicular bisector of line segment DO.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The midpoint of DO is:

[tex]Midpoint=\left(\dfrac{1+7}{2},\dfrac{5+(-1)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{4}{2}\right)[/tex]

[tex]Midpoint=\left(4,2\right)[/tex]

Therefore, the midpoint of DO is (4,2).

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Slope of DO is:

[tex]m=\dfrac{-1-5}{7-1}[/tex]

[tex]m=\dfrac{-6}{6}[/tex]

[tex]m=-1[/tex]

Therefore, the slope of DO is -1.

We know that the product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]m_1\times (-1)=-1[/tex]

[tex]m_1=1[/tex]

The slope of perpendicular bisector is 1 and it passes through the point (4,2). So, the equation of the perpendicular bisector of DO is:

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

[tex]y-2=1(x-4)[/tex]

[tex]y-2+2=x-4+2[/tex]

[tex]y=x-2[/tex]

Therefore, the equation of the perpendicular bisector of DO is [tex]y=x-2[/tex].

The true statement about the exponential functions is (b) the functions f(x) and g(x) are reflections over the y-axis.

The functions are given as:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = (\frac 12)^x[/tex]

Reflect function over the y-axis.

The rule of this transformation is:

[tex](x,y)\to (-x,y)[/tex]

So, we have:

[tex]f(x) = 2^x[/tex]

[tex]f'(x) = 2^{-x}[/tex]

Apply power rule of indices

[tex]f'(x) = (\frac{1}{2})^x[/tex]

By comparison:

[tex]g(x) = f'(x) = (\frac{1}{2})^x[/tex]

Hence, the functions f(x) and g(x) are reflections over the y-axis.

Read more about function transformation at:

https://brainly.com/question/1548871

hope it helps

Answer:

4a + b)( 1 + 4a - b )

Step-by-step explanation:

4a + b + 16a² - b²

Step 1 :- Use a² - b² = ( a - b ) ( a + b ) to factor the expression.

4a + b + ( 4a - b ) ( 4a + b ).

Step 2 :- Factor out 4a + b from the expression.

(4a + b)( 1 + 4a - b )

Answer: 9 full journeys

Step-by-step explanation:

4.5 litres * 1.3 gallons = 5.8 litres of petrol

52 litres ÷ 5.8 litres of petrol = 8.9 journeys ≈ 9 full journeys

Hi there!

[tex]\large\boxed{A. \text{ } 7}[/tex]

The following trapezoidal theorem states that:

Middle segment = average of top and bottom side

Thus:

M = 1/2(b1 + b2)

21 - x = 1/2(17 + 11)

Solve:

21 - x = 1/2(28)

21 - x = 14

Subtract 21 from both sides:

-x = 14 - 21

-x = -7

Multiply both sides by -1:

x = 7

Answer:

U={a,b,c,d,e,f,g,h}

A={a,b,c,d}

now,

AUB= {a,b,c,d,e,f,g,h} U {a,b,c,d}

= {a,b,c,d,e,

ok,this question is wrong btw ,I think I stead of U(universal set) it is B

Answer:

x = 5

arcEF = 58degrees

arcGH = 55degrees

Step-by-step explanation:

Find the diagram attached

The sum of angle on the straight line EH is 180degrees

Hence arcEF+ arcFG + arcGH = 180

10x+8 + 67 + 11x = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 105/21

x = 5

Since EF = 10x+8

arcEF = 10(5) + 8

arcEF = 50+8

arcEF = 58degrees

Also, arcGH = 11x

arcGH = 11(5)

arcGH = 55degrees

Answer:

x = 60 cm

Step-by-step explanation:

using Pythagoras theorem which states that:-

Hypotenuse (h)² = perpendicular (p)² + base (b)²

100² = 80² + x²

100² - 80² = x²

10000 - 6400 = x²

3600 = x²

x = 60 cm

Answer:

The depth of water at which the pressure on a man will be twice that of the pressure at the surface is approximately 10.36 meters

Step-by-step explanation:

The pressure, P, in a fluid (liquid or gas) is given by P = ρ·g·h

Where;

ρ = The density of the fluid

g = The acceleration due to gravity ≈  9.81 m/s²

h = The depth of the body in the fluid

The pressure at the surface of water = The atmospheric pressure = 101,325 Pa

The pressure on a man in water will be twice the pressure at the water surface (the atmospheric pressure) when the pressure due to the water is equal to the atmospheric pressure as follows;

Pressure on man = Pressure due to water + Atmospheric pressure = Twice the atmospheric pressure

∴ Pressure due to water  = 2 × Atmospheric pressure - Atmospheric pressure = Atmospheric pressure

Pressure due to water, P  = Atmospheric pressure = 101,325 Pa

The depth of water, h = P/(ρ·g)

The density of water, ρ = 997 kg/m³

∴ h ≈ 101,325 Pa/(997 kg/m³ × 9.81 m/s²) ≈ 10.36 meters

The depth of water at which the pressure on a man will be twice that of the pressure at the surface, h ≈ 10.36 meters.

Answer:

24 [tex]m^{2}[/tex]

Step-by-step explanation:

Area of parallelograms is :

A = b x h

The height must be a line perpendicular to the base.

The slant measuring 5 is not perpendicular to the base.

A = 6 x 4

A = 24

Answer:

C

Step-by-step explanation:

The other answers have inputs (x) that have multiple outputs (y) which goes against the definition of a function.  For example in answer D zero has both the outputs of 7 and 52 which can not happen in order to be a function.  However outputs can have multiple inputs just not the other way around.

i dont know

hi hi hi hi hi ih ih ih ihi ih i h

The rate is 4% per year.

It is required to find the rate of interest.

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given that:

Let, principal is P,

so, interest is P/5 in 5 yrs.

As from the formula of simple interest,

So, P/5 = P× R ×5/ 100 (R = rate)Or, R = 4%

So, rate is 4% per year.

Learn more about simple interest here:

https://brainly.com/question/24181542

#SPJ2

The missing option is e. 4%

Answer:

38

Step-by-step explanation:

To find the value of f(6), we substitute the value 6 where x is into the function. You would get:

7(6) - 4

42 - 4

f(6) = 38

Answer:

See my writting here have answer

Answer:

4

Step-by-step explanation:

For this, you need to find the scale factor of two sides that are already given to you.

So, we will have to use the hypotenuse and one of the legs to make sure there is an accurate scale factor.

Hypotenuse:

15 / 5 = 3

Leg:

6 / 2 = 3

____________

So the scale factor is 3.

Using the leg (with the x) we need to divide 12 by the scale factor (3) to give us what x is equal to.

12 / 3 = 4

So, the answer is 4.

Answer:

g-21=129

Step-by-step explanation:

Answer:

80 square units

536.6 [tex]cm^{2}[/tex]

Step-by-step explanation:

First one.

2 Trapezoids

A = [tex]\frac{(base_{1} +base_{2}) }{2}[/tex] x h

A = [tex]\frac{10 + 6}{2}[/tex] x 2

A = 16

One rectangle

A = b x h

A = 6 x 8

A = 48

Total Area = 16 + 16 + 48 = 80

Second one:

Two triangles:

A = [tex]\frac{(b)(h)}{2}[/tex]

A = [tex]\frac{10(8.66)}{2}[/tex]

A = [tex]\frac{86.6}{2}[/tex]

A = 43.3

One large rectangle

A = b x h

A = 30 x 15

A = 450

Total Area = 450 + 43.3 + 43.3 = 536.6

Answer:

A=80

Step-by-step explanation:

A=1/2(6+10)2

A=16(2)

A=32

A=8x6

A=48+32

A=80

Answer:

1.75 × 10⁶

Step-by-step explanation:

7,000,000 ÷ 4 = 1750000

Which is 1.75 × 10⁶ in standard form

Answer:

a) t²- 4x + 4

b) 9y² - 4z

c) 10290v

Step-by-step explanation:

a+b) use identity (ax+b)(ax+c) = ax² + (b+c)x + bc

c) a × bx = abx