Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia, while Trina finished the race 3 seconds faster than Kate. If their combined time was 2 minutes and 39 seconds, find each girl’s individual time.

Answer:

[tex]x_1= 6, x_2=5[/tex]

Step-by-step explanation:

Well well well, let's write it down as an equation

[tex]2x^2-x+55 = (x+5)^2[/tex]

And then let's just do what's asking us to do

[tex]2x^2-x+55 = x^2+10x+25\\x^2-11x+30=0[/tex]At this point, it's quadratic formula time. Let's first calculate [tex]\Delta = b^2-4ac[/tex] to simplify the process

[tex]\Delta = 121-4(1)(30) = 121-120=1[/tex]

[tex]x= \frac{11\pm1}{2}; x_1= 6, x_2=5[/tex]

Answer:

32t

Step-by-step explanation:

parallelogram. two opposite sides r equal.

2(8t+2)+2(8t-2)

16t+4+16t-4

32t

Answer:

yeppp i got the same answer

Step-by-step explanation:

Answer:

g=4, h=2

Step-by-step explanation:

Answer:

[tex]g=4, h=2[/tex]

Step-by-step explanation:

First, put them together. 6g+-6 gets rid of g to leave the rest: 10h=20

Then, just divide 10h by 10 to get h alone. h=2

Plug it in 6g+8h=40

6g+16=40

 -16    -16

6g=24

g=4

So the answer is g=4, h=2

Have a great day! :))

Step-by-step explanation:

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

so, in our case, the slope is 2, the y-intercept is -3.

the y-intercept gives you the first point : (0, -3)

using the slope of 2 we know that for every unit x increases, y increases by 2.

so, you can pick a next point e.g. x = 2, which makes y = -3 + 2×2 = -3 + 4 = 1

that gives us (2, 1)

mark both points on the chart and then draw a straight line through both points.

Answer:

-6

Step-by-step explanation:

this is so easy. if u watch anime at least get to 5th grade. anyways, -6 is less than 3 because -6 is negative, meaning below 0.

Answer:

Slope is 4.

y=4x + 1

Take coordinates (0,1) & (1,5)

Rise/Run

5-1/1-0 = 4

Step-by-step explanation:

the same factor of one dimension or one line applies then for all dimensions or lines.

the length goes from 16 to 32 cm. that means it doubles.

so, we need to double also the width :

10.5 × 2 = 21 cm

therefore, the first answer option is correct.

Answer:

okay so IM not 100 percent sure but I think its 64 = 92

Answer:

x=-1

Step-by-step explanation:

15x-5=12x-8 Simplify Parentheses

3x=-3 Isolate the variable

x=-1 Divide by 3 on both sides

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

Our equation is

[tex]5\left(3x-1\right)=4\left(3x-2\right)[/tex]

First, we distribute

Now we have

[tex]15x-5=12x-8[/tex]

Subtract [tex]12x[/tex] from both sides

[tex]3x-5=-8[/tex]

add [tex]5[/tex] to both sides

[tex]3x=-3\\[/tex]

Divide both sides by 3

[tex]x=-1[/tex]

Brainliest please

Answer: 100 feet

Step-by-step explanation: Circumference is found using the formula C = 2πr. We can also use C = πd because diameter is two times the radius. Now that we know this, we can see that the diameter in your problem is 200 which means the radius is 200/2 or 100 feet. Hope this helps!

Would appreciate brainly <3

Answer:

18 square inches

Step-by-step explanation:

Area of triangle = bxh/2

b=3, h=12

Area = 3x12/2

Area = 36/2

Area = 18 square inches

The number of miles each person runs after an hour is;

Michael Anthony = 9 miles

Jocelyn = 8 miles

The person that runs the fastest is;

Michael Anthony with a speed of 0.15 miles per minute.

Michael-Anthony runs 3 miles in 20 minutes

Now formula for speed is;

Speed = distance/time

Thus;

Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute

Thus, in 1 hour = 60 minutes,

Distance covered = 3/20 × 60

Distance covered = 9 miles

Jocelyn runs 4 miles in 30 minutes

Speed of Jocelyn = 4/30 = 0.133 miles per minute

Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles

Read more about distance, time and speed relationship at; https://brainly.com/question/3267354

Answer:

Step-by-step explanation:

1376!

Answer:

yeah it's 1367

Step-by-step explanation:

I did the math!!!!

Answer:

4.6 and 3.5 and 3.6.

Step-by-step explanation:

Because they have to be in a range between 3.7 and 4.3.

Answer:

(1,1) and (2,2)

Step-by-step explanation:

you have to locate points that will overlap with both shaded area

Answer:

y= 2,471x - 230y because each day he travels the same average distance of 230 miles

Answer:

230 miles that is the answer

Answer:

2y x5

Step-by-step explanation:

Answer:

y= -¾x + 19/4

Step-by-step explanation:

get gradient and substitute

Answer:

the first option, increasing as x approaches infinity and decreasing as x approaches negative infinity

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(10)

Since the triangles are congruent then corresponding sides are congruent, so

EF = BC , that is

4x - 1 = 19 ( add 1 to both sides )

4x = 20 ( divide both sides by 4 )\

x = 5

and

DE = AB , that is

y - 6 = 8 ( add 6 to both sides )

y = 14

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

(11)

Since the triangles are congruent the corresponding angles are congruent, so

∠ K = ∠ Y , that is

3x - 37 = 41 ( add 37 to both sides )

3x = 78 ( divide both sides by 3 )

x = 26 , then

∠ K = 3x - 37 = 3(26) - 37 = 78 - 37 = 41°

The sum of the 3 angles in Δ ZMK = 180° then

∠ Z = 180° - (41 + 112)° = 180° - 153° = 27°

So

∠ A = ∠ Z

2y + 7 = 27 ( subtract 7 from both sides )

2y = 20 ( divide both sides by 2 )

y = 10

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

(12)

Since the triangles are congruent the corresponding sides and angles are congruent

DG = BS

4x - 11 = 25 ( add 11 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

∠ T = 180° - (56 + 21)° = 180° - 77° = 103°

Then

∠ H = ∠ T

7y + 5 = 103 ( subtract 5 from both sides )

7y = 98 ( divide both sides by 7 )

y = 14

Answer:

Step-by-step explanation:

6085 rounded to the nearest hundred is 6100

51,672 rounded to the nearest ten thousand is 50,000

Answer:

y = - 4/3x - 9

Step-by-step explanation:

Answer:

[tex]y = -\frac{4}{3}x - 9[/tex]

Step-by-step explanation:

The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.

First, subtract 8x from both sides:

8x + 6y = - 54

8x - 8x + 6y = - 8x - 54

6y = -8x  - 54

Divide both sides by 6 to isolate y:

[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]

[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.

Answer:

∠ABC ≅ ∠DBE 

Step-by-step explanation:

The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The triangle ΔABE is congruent to the triangle ΔACE. Then we have

AB = AC

∠BEA = ∠CEA

BE = CE

In triangles ΔDBE and ΔDCE, then we have

AB = AC                          (Given)

∠BEA = ∠CEA                 (Given)

DE = DE                           (Common sides)

The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.

More about the triangle link is given below.

https://brainly.com/question/25813512

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