i need help on this question about slope

Answer:

  40 seconds

Step-by-step explanation:

  (ostrich speed * seconds) + head start = (cheetah speed * seconds)

                                        44x + (44 * 60) = 110x

                                             44x + 2640 = 110x

                                                       2640 = 66x

                                                              x = 40

No. of seconds before cheetah catches ostrich = 40 seconds

Speed tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance.

Speed is directly Proportional to Distance and Inversely proportional to Time.

Speed = Distance/Time

Given,

Speed of ostrich = 44 feet per second

Speed of cheetah = 110 feet per second

Starting point is same

Ostrich got 60 second head start

Distance travelled by ostrich in 60 second = 44 × 60 = 2640 feet

let  S  be the number of seconds that it will take the cheetah to catch the ostrich

Distance covered by cheetah = 110S

Distance that  the ostrich will cover before being caught  is  2640 + 44S

According to the question

110S  = 2640 + 44S  

110S - 44S =2650

66S  =  2640  

S = 2640/66

S = 40 seconds.

Hence, It will be 40 seconds before cheetah catches the ostrich.

Learn more about speed here:

https://brainly.com/question/7359669

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Answer:

Step-by-step explanation:

Decimal number in mathematics is one in which the whole number and the fractional part is separated by a decimal point

If we divide 4 by 10 it will give us a a decimal number which was done below

4/10

=0.4

And also if we divide 40 by 100 we will still have a decimal of 0.4

0.4=40/100

Express 4/10 as a decimal number, and identify another decimal number that is equal to it. 4/10 expressed as a decimal number is 0.4 which is equal to _40/100__

Answer:

x is negative

Step-by-step explanation:

I know x will be negative without solving the equation because we can see that both sides equal positive 8 and for -2x to be positive the x value must be negative. when two negative values are multiplied they change into positive. If the x value was Positive this equation would be false.

Hope this helps you

Answer:

Yes, x will be negative.

We are given:

-2x + 4 = 8

This means that "something", in this case -2x, added to 4, equals 8

The only thing that can add to 4 and equal 8 is 4.

So, that means -2x has to equal 4, which is a positive number.

Negative x negative = positive.

-2 is already a negative number, so x has to be a negative number.

Answer:

81

Step-by-step explanation:

i did le math, and its right on ed2020

Answer:

Δ ABC and Δ DEF are similar because their corresponding sides are proportional

Step-by-step explanation:

Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios

In the two triangles ABC and DEF

∵ AB = 4 units

∵ DE = 2 units

∴ [tex]\frac{AB}{DE}=\frac{4}{2}=2[/tex]

∵ BC = 6 units

∵ EF = 3 units

∴ [tex]\frac{BC}{EF}=\frac{6}{3}=2[/tex]

∵ CA = 2 units

∵ FD = 1 units

∴ [tex]\frac{CA}{FD}=\frac{2}{1}=2[/tex]

∴ [tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2[/tex]

∵ All the ratios of the corresponding sides are equal

∴ The corresponding sides of the two triangles are proportional

∴ Δ ABC is similar to Δ DEF

Answer:

Step-by-step explanation:

Slope is m

in this case slope is -50

b is the y-int,

in this case the y-int is 8000

so your equation: y = -50x + 8000

Answer:

_3x>+31 but I am not sure

Step-by-step explanation:

-5x<-2x+8+23

-3x>+31

Answer:

x > -5

Step-by-step explanation:

1.) Add +5x on both sides

-5x + 8 < - 2x + 23

+5x         +5x      

8    <    3x + 23

2.) Subtract 23 from both sides

8    <    3x + 23

-23            -23

-15  <  3x

3.) Divide by 3 on both sides

-15 <  3x

 3        3

-5 < x

Because you divided by a negative, the sign flips

-5 > x

Answer:

9. Perpendicular

10. neither

11. Perpendicular

12. neither

Step-by-step explanation:

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

Slope Intercept Form: y = mx + b

* M is the slope

* B is the y intercept

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

Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)

Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of - [tex]\frac{1}{3}[/tex] )

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

9. Perpendicular: The slopes are reciprocal of each other and one of them is negative

10. Neither: The lines are not perpendicular because the slopes are both negative

11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.

12. Neither: The slopes of both equations need to be the same to be parallel

Answer: 30/4

Step-by-step explanation:

Answer:

x = 6 deg

Step-by-step explanation:

14x + 11 = 16x - 1 (corresponding angles, // lines)

-2x = -12

x = 6

Answer:

C

Step-by-step explanation:

16x - 1 and 4x + 11 are corresponding angles and are congruent, thus

16x - 1 = 14x + 11 ( subtract 14x from both sides )

2x - 1 = 11 ( add 1 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Substitute x = 6 into either of the 2 equal angles

Substituting into 14x + 11 , then

14x + 11 = 14(6) + 11 = 84 + 11 = 95° → C

Answer:

60.9

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

can you please answer my question too? it is due soon

Answer:

x = 12

Step-by-step explanation:

1/2x-5=10-3/4x

add 5 to both sides

1/2x=15-3/4x

add 3/4x to both sides

1/2x + 3/4x = 15

2/4x + 3/4x = 15

5/4x = 15

divide both sides by 5/4

x = 15 * 4/5

x = 60/5

x = 12

Answer:

ummm well that hard let me solve it real quick

Step-by-step explanation:

:/

Answer:

18x2 +9x -5

Step-by-step explanation:

combine like terms

welp thank you for this

Answer:

An open circle at 2, and an arrow facing left.

Answer:

5+5=10

tep-by-step explanation:

Answer:

Nah ;)

Step-by-step explanation:

Answer:

?=-1.4

Step-by-step explanation:

The number that fits the ? is -1.4. Hope it helps!

Answer:

-1.4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-(7/4) equals -7/4 or negative seven forths. Its doesn't matter where the negative sign is as long there's only 1 of them and that its still 7/4.

So through process of elimination, we take out B because theres 2 negative, which make a positive, our answer is negative

C is wrong because its 4/7, not 7/4

D is wrong because it's positive, leaving us with A

Answer:

x - 5y = - 10

Step-by-step explanation:

y = mx + b (b is y-intercept)

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

~~~~~~~~~~~~

x + 4y = 8 ⇔ y = [tex]-\frac{1}{4}[/tex] x + 2 ⇒ y-intercept is 2 and coordinates of y-intercept are (0, 2)

(5, 3)

m = [tex]\frac{3-2}{5-0}[/tex] = [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex] x + 2 (slope-intercept form)

x - 5y = - 10 (standard form)

Answer:

Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.

Step-by-step explanation:

Answer:

1.37×10^9 is in scientific notation