when a car speed is 24 km/hr a journey takes 80 minutes what must the speed be for the same journey to take 60 minutes?

Answer:

(- 2, 1 ) and (1, 4 )

Step-by-step explanation:

Given the 2 equations

y = - x² + 5 → (1)

- x + y = 3 → (2)

Rearrange (2) expressing y in terms of x by adding x to both sides

y = x + 3 → (3)

Substitute y = x + 3 into (1)

x + 3 = - x² + 5 ( subtract - x² + 5 from both sides )

x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Substitute these values into (3) for corresponding values of y

x = - 2 : y = - 2 + 3 = 1 ⇒ (- 2, 1 )

x = 1 : y = 1 + 3 = 4 ⇒ (1, 4 )

Step-by-step explanation:

its a false equasion x € R

Answer:

18500

Step-by-step explanation:

Well first we turn 500% into a decimal by dividing by 100

500/100 = 5

Now 5*3700=18500

Answer:

top left

Step-by-step explanation:

it goes through the most dots

Answer:

8a+7c-3

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

-8(x-6) = 32 (distribute)

-8x+48 = 32 (subtract 48 from both sides)

-8x = -16 (divide)

x = 2

Answer:

x = 2

Step-by-step explanation:

Divide both sides :

−8(x−6)=32

Divide both sides of the eqaution by -8 :

x - 6 = -4

Move the constant to the right :

x - 6 = -4

Move the constant to the right - hand side and change its sign :

x = -4 + 6

Calculate :

x = -4 + 6

Calculate the sum :

x = 2

Therefore, the answer is x = 2

Answer:

Rise of 2 Run of 5

so its 2/5

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

2-0/5-0

2/5

Best of Luck!

g(1) = 4

g(n) = g(n-1).(-3)

g(3)= 2g(2) = 24 = 16

Answer:

the answer with the proportional relationship is "(D)"

Answer:

Hm

Step-by-step explanation:

Answer:

D. 22

22 is in the middle

There are three numbers on both sides of 22 so it makes it even and 22 ends up being in the middle.

Hope this helps

Answer: w=8/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

20 /3 =2(w+ ( 2 /3 )

20 /3 =(2)(w)+(2)( 2 /3 )(Distribute)

20 /3 =2w+ 4 /3

Step 2: Flip the equation.

2w+ 4 /3 = 20 /3

Subtract 4/3 from each side: 2w+ 4 /3 − 4 /3 = 20 /3 − 4 /3

Divide both sides by 2: 2w/ 2 =16  3 /2

Answer w=8/3

Answer:

w=8/3

Step-by-step explanation:

Answer: B. One fourth times the product of 8 and 3, then divide by 5.

Answer: points (2,6) represent the point of intersection where two lines meet

Step-by-step explanation:

The lines meet at that point

The angle that the wire makes with the ground is 36.87° with horizontal.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is very good and useful in real-life problems related to the right-angle triangle.

The given situation is making a right-angle triangle,

By Pythagoras' theorem in the triangle.

Base = √(100² - 60²) = 80 foot

By tan trigonometric function,

tanx = 60/80

x = 36.87°

Hence "The wire's angle with the ground is 36.87° with respect to the horizontal".

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Answer:

Yes (6,1) is a solution to the inequality

Step-by-step explanation:

Plug in the coordinate point and check:

11(6)+3(1)>4?

66+3>4?

69>4

Since 69 is indeed greater than 4, then (6,1) is a solution to the inequality.

Answer:

A= 21 m

Step-by-step explanation:

Answer:

9

Keep the value of k as 9 then multiply it with the numbers in the brackets and then arrange the like terms and see yourself.

Answer:

Height of the tree =  92.61 feet

Step-by-step explanation:

Given: Distance between base of tree and Mica = 75 feet

Angle of elevation to the top of tree = 51°

Assuming we have to find the height of the tree = H

This can be found by applying simple trigonometry.

The height of the tree becomes perpendicular and distance between base of tree and Mica is base.

Then,  tan51° = H/75

⇒ H = 75× tan51° = 92.61 feet

Answer:

Maybe a skeptic?

Step-by-step explanation:

skep·tic:

1. a person inclined to question or doubt accepted opinions.

Answer: the answer D is correct and is proven to be correct

Step-by-step explanation:

Answer:

$8.50

Step-by-step explanation:

[tex]\frac{y}{22.10} =\frac{1}{2.6}[/tex]

2.6 × y = 22.1 × 1

2.6y = 22.1

2.6y ÷ 2.6 = 22.1 ÷ 2.6

y = 8.5

Answer: 8.50

Step-by-step explanation: 8.50

Step-by-step explanation:

Divide $22.10 over 2.6 pounds of covered cherries

Answer:

144

Step-by-step explanation:

4*3=12

12*12=144

Answer:

y = x + 5

Step-by-step explanation:

The output (y) is five more than the input (x)

and this is expressed symbolically as

y = x + 5

Answer:

It would b A

Step-by-step explanation:

[tex] \frac{3}{5} \div \frac{7}{12 } [/tex]

[tex] = \frac{3}{5} \times \frac{12}{7} [/tex]

[tex] = \frac{36}{35} [/tex]

[tex] = 1 \frac{1}{35} [/tex]

Answer:

y= 69x + 356

Step-by-step explanation:

y= 69x + 356

It goes 69 feet per second hence the 69x and it starts 356 feet in the air

The height of the stone above the ground at any time t can be described by the quadratic function h(t) = -16t^2 + 69t + 365.

Assuming that the acceleration due to gravity is -32 feet per second squared (neglecting air resistance), we can use the following kinematic equation to describe the height of the stone as a function of time:

h(t) = -16t²+ vt + h₀

where:

h(t) is the height of the stone above the ground at time t

v is the initial velocity of the stone (69 feet per second, in this case)

h₀ is the initial height of the stone (365 feet above the ground, in this case)

Substituting the values of v and h0, we get:

h(t) = -16t² + 69t + 365

Therefore, the height of the stone above the ground at any time t can be described by the quadratic function h(t) = -16t² + 69t + 365.

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[tex]{ \large{ \implies{ \sf{Area \: \: of \: \: Trapezium = \dfrac{1 \times (b1 + b2) \times h}{2} }}}}[/tex]

[tex]{ \large{ \implies{ \sf{Area = \dfrac{1 \times{ \cancel {16 } {}^ { \: \: 8} }\times 19}{ \cancel2} }}}}[/tex]

[tex]{ \large{ \therefore \: { \sf{Area = 1 9\times 8 = { \boxed{ \sf{152} \: \: m {}^{2} }}} \: \: Ans.}}}[/tex]