What is the gradient of the blue line

Answer:

Two lines that pass through the point (4, 8) are y = 3·x - 4 and y = -5·x + 28

Step-by-step explanation:

The equation of two lines that passes through the point (4, 8) are found using the general form of a straight line equation, y = m·x + c, where;

m = The slope of the line

c = The y-intercept

Therefore, two distinct line pass through a given point if they have a different slope, m, and a different y-intercept, c, as follows;

Fot the given point, the x-value = 4, and the y-value = 8, we get;

8 = m₁·4 + c₁...Line 1 and

8 = m₂·4 + c₂...Line 2

m₁ ≠ m₂

If we set m₁ = 3, for line 1, we get;

8 = 3 × 4 + c₁ = 8 = 12 + c₁

∴ c₁ = 8 - 12 = -4

c₁ = -4

The equation for Line 1 for all x and y-values, where, m₁ = 3, c₁ = -4, becomes;

y = 3·x - 4

The equation for Line 2 where m₂ = -5 for example, we have;

8 = -5 × 4 + c₂

∴ c₂ = 8  + 5 × 4 = 28

c₂ = 28

The general form for the equation for Line 2 becomes;

y = -5·x + 28

Therefore;

The equation of the two formed lines that pass through the point (4, 8) are;

y = 3·x - 4 and y = -5·x + 28

Answer:

1)

[tex]808.48 \: cubic \: meter[/tex]

2)

[tex]104 \: shiling[/tex]

3)

[tex]14cm[/tex]

Step-by-step explanation:

Length = 16.3m

breadth = 8m

height = 6.2m

volume= Lbh

=(16.3×8×6.2)m

= 808.48 cubic meter

Answer:

DPB

Step-by-step explanation:

Verticle angles are congruent

m∠APC = m∠DPB

Answer:

f(x)=x² , g(x)= x+1. f(g(2))?

g(2)

2+1=3

g(2)=3

f(3)

3²=9

f(3)=9

the answer is 9

Answer:

9

Step-by-step explanation:

To find (f ￮ g)(2) , evaluate g(2) then substitute the value obtained into f(x)

g(2) = 2 + 1 = 3 , then

f(3) = 3² = 9

Answer: D. 3x +28 > 52

Step-by-step explanation:

Based on the information given, the inequality that Maria can use to find how many more bracelets she needs to sell to make more money than she spent on supplies will be calculated thus:

With the question above, the total sales must be greater than the amount spent on supplies. Let the number of bracelets that needs to be sold be represented by x.

Therefore, (3 × x) + 28 > 52

= 3x + 28 > 52.

We can calculate further

3x > 52 - 28

3x > 24

x > 24/3

x > 8

Therefore, 9 or more bracelets needs to be sold since x is greater than 8.

Therefore, the correct option is D 3x +28 > 52

Answer:

D. 3x + 28 > 52

Step-by-step explanation:

Step-by-step explanation:

17.275 3 decimal plalcesl

Probability of getting tails when weighted coin is flipped is 2/5

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes for an event. For an experiment with 'n'  outcomes, the number of favorable outcomes can be denoted by x.

The probability of an event can be calculated by simply dividing the  number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number is never negative.

Given,

Chance of getting heads on the weighted coin = 60%

Probability of getting heads = 60/100

Probability of getting heads = 3/5

Probability of getting tails = 1 - 3/5

Probability of getting tails = 2/5

Hence, 2/5 is the probability of getting tails on flipping the weighted coin.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ7

Answer:(first term)

a=27(4th term)

T4= a x r^3 = 64

substituting a as 27 in T4

27 x r^3 = 64

r^3 = 64/27

r=4/3

so; a=27, r=4/3

using the general formula of geometric progression,

a x r^n-1

substitute:.

27 x 4/3^n-1

= 27(4/3)^n-1

Answer: (C) HOPE THIS HELPS!

Step-by-step explanation:

please see my work as attached

Answer:

Step-by-step explanation:

2(a + 6b) - 3(a - 2b)

= 2a + 12b - 3a + 6b

= 2a - 3a + 12b + 6b

= - a + 18b (Ans)

Answer:

-a + 18b

Step-by-step explanation:

2(a + 6b) - 3(a - 2b)

Distribute the 2

2a + 12b - 3(a - 2b)

Distribute the 3

2a + 12b - 3a + 6b

Combine like terms

-a + 18b

Answer:

see graph below

Answer:

1.3 mL

Step-by-step explanation:

1 mg = 0.001 mL

1300 mg * 0.001 mL/mg = 1.3 mL

Answer:

x^2+2xy+y^2

Step-by-step explanation:

(x + y)(x + y)

FOIL

first x*x = x^2

Outer x*y = xy

inner: y*x = xy

last y*y = y^2

add together

x^2+xy+xy+y^2

Combine like terms

x^2+2xy+y^2

Answer:

[tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]

Step-by-step explanation:

(x + y)(x + y)

= (x + y)(x + y)

=(x)(x) + (x)(y) + (y)(x) + (y)(y)

= [tex]x^{2}[/tex] + xy + xy + [tex]y^{2}[/tex]

= [tex]x^{2}[/tex] + 2xy + [tex]y^{2}[/tex]

Hope this helps, please mark brainliest. :)

Answer:

The range of the following relation is(-5,2,-4)

Answer:

(6-3)=3..............................

Answer:

c=2

Step-by-step explanation:

the sides of a 30-60-90 right triangle are in the ratio 1:[tex]\sqrt{3}[/tex]:2

Answer:

ℎ = −3

Step-by-step explanation:

6

ℎ

−

1

=

−

3

\frac{6}{h}-1=-3

h6​−1=−3

6

ℎ

+

ℎ

(

−

1

)

ℎ

=

−

3

\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3

h6​+hh(−1)​=−3

2

Combine fractions with common denominator

6

ℎ

+

ℎ

(

−

1

)

ℎ

=

−

3

\frac{6}{h}+\frac{h\left(-1\right)}{h}=-3

h6​+hh(−1)​=−3

6

+

ℎ

(

−

1

)

ℎ

=

−

3

\frac{6+h\left(-1\right)}{h}=-3

h6+h(−1)​=−3

3

Re-order terms so constants are on the left

6

+

ℎ

(

−

1

)

ℎ

=

−

3

\frac{6+h\left(-1\right)}{h}=-3

h6+h(−1)​=−3

6

−

ℎ

ℎ

=

−3

Answer:

A. Segment AB congruent segment CD

C. Segment AD congruent segment BC

Step-by-step explanation:

These are both true because a characteristic of a rhombus is that all four sides are congruent. Therefore we must prove that AB is congruent to CD and AD is congruent to BC.

Answer:

the given relation is function because all elements of domain is mapped with the elements of range

Hello,

a) photo attached

b) When y = 1, x ≈ 0.5

Verification through calculation :

We have :

y = 4x - 1

⇔ 1 = 4x - 1

⇔ 4x = 2

⇔ x = 2/4 = 0.5

This is just !

:-)

9514 1404 393

Answer:

  x = 8 1/3

Step-by-step explanation:

Put the known values into the equation and solve for x.

  f(x) = 3x -1

  24 = 3x -1 . . . . . use 24 for f(x)

  25 = 3x . . . . . . . add 1 to both sides

  25/3 = x . . . . . . divide both sides by 3

The input is x = 8 1/3.

Step-by-step explanation:

x value is 0.2

y value is 3.2

Answer:

his dad was cutting the grass for 1 hour and 4 minutes i hope this helps

Step-by-step explanation:

Answer:

37.5 minutes

Step-by-step explanation:

45+30=75

=75 =37.5

2

This might help you!!!!

Answer:

Distance of grocery stores from mailbox = 50 miles

Step-by-step explanation:

Given:

Distance of grocery stores = 40 miles east

Distance of mailbox = 30 miles south

Find:

Distance of grocery stores from mailbox

Computation:

Hypotenuse² = Perpendicular² + Base²

Distance of grocery stores from mailbox = √30² + 40²

Distance of grocery stores from mailbox = √900 + 1600

Distance of grocery stores from mailbox = √2500

Distance of grocery stores from mailbox = 50 miles

Answer:

35 mm.

Step-by-step explanation:

That would be (26 + 44)/2

= 70/2

= 35 mm.

Answer:

Improper fraction: 13/10

Mixed number: 1 3/10

Decimal: 1.3

Step-by-step explanation:

Find common denominator: which is 30

Make each denominator equal 30, affecting the whole fraction:

6•2/15•2 + 3•3/10•3 + 3•6/5•6 =

12/30 + 9/30 + 18/30 = 39/30

Simplify: 39/30, divide both by 3: 13/10

And there is our answer!

Hope this helps, good luck! :D

Answer:

39/30

Step-by-step explanation:

Answer:

[tex]\frac{1}{(xy)^4}[/tex]

Step-by-step explanation:

*Question interpreted as "Write [tex](xy)^{-4}[/tex] with a positive exponent."

Recall the following exponent property:

[tex]a^{-b}=\frac{1}{a^b}[/tex]

Therefore, we have [tex](xy)^{-4}\implies \boxed{\frac{1}{(xy)^4}}[/tex]