Heather finished the 12-kilometer race in 2 hours. If Heather kept her pace constant, what was her rate? A. 24 km/hr. B. 14 km/hr. C. 10 km/hr. D. 6 km/hr.

Answer:

Acute angle

Step-by-step explanation:

Answer:

34° angle is an acute angle

Answer:

[(3, 4, 5, 6, 8)]  

Step-by-step explanation:

The x-values are the first value of each point

Answer:

Step-by-step explanation:

(-2,0) and (8,0) are horizontally aligned, so the ellipse is horizontal.

The equation of the ellipse is: [tex](x + 2)^2 / 16 + y^2 = 1.[/tex]To find the equation of the ellipse with the given information, we need to determine the major axis length and the equation's standard form.

The center of the ellipse is (-2, 0), and one vertex is at (8, 0). This means that the major axis is along the x-axis, and its length is equal to the distance between the center and the vertex, which is 8 units.

The minor axis length is given as 2 units. Since the minor axis is perpendicular to the major axis, it corresponds to the y-axis.

The standard form equation of an ellipse with a horizontal major axis is:

[tex]((x - h)^2 / a^2) + ((y - k)^2 / b^2) = 1,[/tex]

where (h, k) represents the center of the ellipse, and a and b are the semi-major and semi-minor axes' lengths, respectively.

Plugging in the given information, we have:

Center: (h, k) = (-2, 0)

Semi-major axis length: a = 8 / 2 = 4

Semi-minor axis length: b = 2 / 2 = 1

Substituting these values into the standard form equation, we get:

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

Simplifying:

[tex](x + 2)^2 / 16 + y^2 = 1[/tex]

To know more about ellipse:

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#SPJ2

Answer:

x=7,x=-1/2

Step-by-step explanation:

so x-7=0 or 2x+1=0

x=7 or 2x=-1

x=7,x=-1/2

if my answer helps please mark as brainliest.

Answer:

5/6 se eu não me engano.

Step-by-step explanation:

ajudareroesp

Answer:

D

Step-by-step explanation:

Answer:

the answer is D your welcome lol

Step-by-step explanation:

lol

Answer: The last option, or D

Step-by-step explanation:

35x−35y+21

Answer:

44

Step-by-step explanation:

12+12+7+(5^2+12^2).

5^2=25

12^2=144

144+25=169

The square root of 169 is 13.

Add all numbers together:

12+12+7+13=44

P=44.

Answer:

3.02

x 10

-------

000

+302x

______

30.20

Answer: C

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

(8,8)

Step-by-step explanation:

The first equation says y and x are the same, so any x in the second equation can be replaced with a y, so

y = 2x - 8 and y = x, substituting x for y gives

x = 2x -8, subtract x from each side, add 8 to each side, get

8 = x

substitute that value back into the first equation

y = x, x= 8, so y=8

Answer:

60=x+23(opposite angle of parallelogram are equal)

60-23=x

x=37 is answer.

Answer:

3/11

Step-by-step explanation:

i did this question it 3/11

Answer:

.88c                       22/25c

Step-by-step explanation:

yup

Answer:

.88c                   22/25c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

c is the best

Step-by-step explanation:

This is oddly worded I understand. They are asking for the relationship between x and y. Your equation will start with y= You will need to form your equation in a way that will tell you how to find y in relation to x at any given term. I want you to learn and grow so i will just give an example. Take y=x-2 this would mean that y equals whatever x-2 is. If x were to equal 13, y would equal 11 because 13 minus 2 is 11. I hope this helps. I didnt want to give it all away because I wanted you to feel accomplished

D.kite

youre welcome hihihi

Answer:

The measures of the three interior angles of the triangle are {40,55,85}.

Step-by-step explanation:

Let a = the measure of the first angle of the triangle.

Let b = the measure of the second angle of the triangle.

Let c = the measure of the third angle of the triangle.

The problem statement tells us that

(1) a = a

(2) b = a + 15 and

(3) c = a + 45

Now we (should) know that the sum of the three angles of a triangle is 180 degrees. Then we get

(4) a + b + c = 180 or by substitution we get

(5) a + (a + 15) + (a + 45) = 180 or

(6) a + a + 15 + a + 45 = 180 or

(7) 3*a + 60 = 180 or

(8) 3*a = 180 - 60 or

(9) 3*a = 120

Now divide both sides of (9) by 3 to get

(10) 3*a/3 = 120/3 or

(11) a = 40

Using (2) and (3) we get

(12) b = 40 + 15 or

(13) b = 55 and

(14) c = 40 + 45 or

(15) c = 55

Always check the answer. Use (4)

Is (40 + 55 + 85 = 180)?

Is (95 + 85 = 180)?

Is (180 = 180)? Yes

The measures of the three interior angles would be as follows:

40°,55°,85°

If we assume the first angle(∠1) to be [tex]x[/tex],

so, the second angle(∠2) [tex]= x + 15[/tex]

while the third angle(∠3) [tex]= x + 45[/tex]

Through the Angle Sum Property, we know:

∠1 + ∠2 + ∠3 = 180°

By applying the above expressions, we get

[tex]x + (x + 15) + (x + 45) = 180[/tex]°

⇒ [tex]3x + 60 = 180[/tex]

⇒ [tex]3x = 180 - 60[/tex]

⇒ [tex]x = 120/3[/tex]

∵ [tex]x = 40[/tex]°

Therefore,

∠1 = 40°

∠2 = 40° + 15°

= 55°

∠3 = 40° + 45°

= 85°

Thus, the measures of the angles are 40°,55°, and 85°

Learn more about "Angles" here:

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well if that's in a math problem then its division. Because you are sharing equally.

Answer:

use photomath

Step-by-step explanation:

Answer:

i love math

The ans is in the picture and the steps how i got it

(hope this helps can i plz have brainlist it will make my day :D hehe)

Step-by-step explanation:

Answer:

There is a dilation and the scale factor is 4

Step-by-step explanation:

The details that complete the question are:

△ABC

A(2, 5), B(6, 10), C(9, −1)

△A′B′C′

A′(0.5, 1.25), B′(1.5, 2.5), C′(2.25, −0.25)

Checking if there is dilation or not

To do this, we make use of the following scale factor (k) formula:

[tex]k = \frac{Original}{Image}[/tex]

Using A and A'

[tex]k = \frac{A}{A'}[/tex]

[tex]k = \frac{(2,5)}{(0.5,1.25)}[/tex]

Factorize the numerator

[tex]k = \frac{4(0.5,1.25)}{(0.5,1.25)}[/tex]

[tex]k = 4*\frac{(0.5,1.25)}{(0.5,1.25)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

Using B and B'

[tex]k = \frac{B}{B'}[/tex]

[tex]k = \frac{(6,10)}{(1.5, 2.5)}[/tex]

Factorize the numerator

[tex]k = \frac{4(1.5, 2.5)}{(1.5, 2.5)}[/tex]

[tex]k = 4*\frac{(1.5, 2.5)}{(1.5, 2.5)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

Using C and C'

[tex]k = \frac{C}{C'}[/tex]

[tex]k = \frac{(9, -1)}{(2.25, -0.25)}[/tex]

Factorize the numerator

[tex]k = \frac{4(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4*\frac{(2.25, -0.25)}{(2.25, -0.25)}[/tex]

[tex]k = 4 * 1[/tex]

[tex]k =4[/tex]

The above shows that k is 4 in all cases.

Hence, there is a dilation and the scale factor is 4

Answer:

1<x<4

Step-by-step explanation:

9<2x+7<15

9+−7<2x+7+−7<15+−7(Add -7 to all parts)

2<2x<8

2 /2 < 2x /2 /< 8 /2  (Divide all parts by 2)

1<x<4

Answer:

d

Step-by-step explanation:

Answer:

$0.33 per ball

Step-by-step explanation:

haha we meet again.

Divide 1.33 by 4

1.33/4=0.3325

Round to the nearest tenth

0.33