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3 years ago

Sarika’s house is 5 km from her office. She covered 4 ½ by train and the remaining by walk.

Mathematics

2 answers:

givi [52]3 years ago

7 0

Answer:

1/2 km or 0.5 km

Step-by-step explanation:

In the attached file

Shkiper50 [21]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

So since sarika already went 4.5 km lets subtract that from 5 to get our remaining distance

5-4.5=0.5

Sarika had to walk 1/2 a kilometer

Hope this helps!

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Find the coordinates of the circumcenter of △PQR with vertices P(−2,5), Q(4,1), and R(−2,−3).

mel-nik [20]

Answer: (1/3,2)

Step-by-step explanation:

Let O(x,y) be the circumference of the triangle PQR,

Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.

Thus, PO = QO

By the distance formula,

$(x+2)^2+(y-5)^2 = (x-4)^2+(y-1)^2$

$\impliesx^2+ 4x + 4 + y^2+ 25 - 10 y = x^2+16 - 8 x + y^2+1 - 2y$

$\implies 4x + 4 + 25 - 10 y = 16 - 8 x + 1 - 2y$

$\implies 4x +8x-10y+2y = 16 + 1 -25-4$

$\implies 12x - 8y = 17 - 29$

$\implies 12 x - 8 y = - 12$ ---------(1)

Similarly, QO = RO

$\implies (x-4)^2 + (y-1)^2 = (x+2)^2+(y+3)^2$

$\implies x^2 + 16 - 8x + y^2+ 1 - 2y = x^2+ 4 + 4 x +y^2+ 9 + 6 y$

$\implies 16 - 8x + 1 - 2y = 4 + 4 x + 9 + 6 y$

$\implies - 8x -4x-2y-6y=4+9-16-1$

$\implies -12 x - 8 y = 13 - 17$

$\implies 12 x + 8 y = 4$ ------------(2)

By adding equation (1) and (2),

24 x = - 8

x = 1/3

By putting this value in equation (1),

We get,

Thus, 4 - 8 y = -12

8 y = 16

y = 2

7 0

2 years ago

Which is an equation in point-slope form for the given point and slope?

xxMikexx [17]

Hi There!

Solution,

Point Slope Form: y - y1 = m(x - x1)

Now you have a reference equation of what the answer should look like.

By looking at the answer choices you can eliminate A.

Tip: When you have a negative number you are going to add. For Example, if you have -8, you will input x + 8 or y + 8.

Tip 2: When you have a positive number you are going to subtract. For Example, if you have 3 you will input x - 3 or y - 3.

We can eliminate B because its not subtracting 3.

We can also eliminate C because its not adding -8.

The best answer choice is D.

Answer,

y – 3 = 6(x + 8)

I hope you understand, so you can do this in the future on your own.

Hope This Helps :)

4 0

3 years ago

SUPER EASY WILL GIVE BRAINLEIST IF DONE BEFORE 10 PM PLS HURRY. IF U HAVE TIME PLS HELP ME ON OTHER QUESTIONS THANK YOU <3

andrew11 [14]

Answer:

1. new perimeter = 4 times the old perimeter

2. The area will go up by a factor of 16

3. The new area is 1/9 of the original area.

Step-by-step explanation:

1. side length1 = x

side length2 = y

2x + 2y = perimeter

2(4x) + 2(4)y = new perimeter

8x + 8y = new perimeter

new perimeter = 4 times the old perimeter

2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.

3. Let the length of the rectangle be x

Let width of rectangle be y

Area of rectangle = L*W

Now Each side length of the rectangle is multiplied by 1/3

So, new area = (1/3)L * (1/3)W

=(1/9)LW

So, the new area is 1/9 of the original area.

7 0

3 years ago

How many lines of symmetry does this shape have? Information Answer options with 5 options A. 0 B. 1 C. 2 D. 3 E. 4

Darina [25.2K]

Answer:

D.3? you never showed us the picture

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Solve for h.

Luden [163]

Solving for h means we write the equation in such a way that h is isolated from other variables. It is done as follows:

(P = mgh) 1/mg
P/mg = mgh/mg
h = P/mg

Therefore, the correct answer from the choices listed above is option C, h = p/mg.

Hope this answers the question. Have a nice day.

4 0

2 years ago