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Mashutka [201]
3 years ago
12

Solve the system,{3y=-x_11,x+4y=14

Mathematics
1 answer:
Llana [10]3 years ago
7 0

your answer would be  (2,3)

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Your school is 20 blocks east and 12 blocks south of your house. The mall is 10 blocks north and 7 blocks west of your house. Yo
salantis [7]

Answer:

  3.5 miles

Step-by-step explanation:

The straight line distance from the school to the mall is found using the Pythagorean theorem. That distance is the hypotenuse of a triangle that is 27 blocks in the east-west direction and 22 blocks in the north-south direction.

  d = √(27^2 +22^2) = √1213 ≈ 34.83 . . . blocks

Since each block is 0.1 miles, the distance in miles is ...

  distance to mall = (0.1 miles/block)(34.83 blocks) = 3.483 miles

Rounded to tenths, the distance from school to mall is 3.5 miles.

8 0
3 years ago
Point A is the midpoint of side XZ and point B is the midpoint of side YZ. Triangle X Y Z is cut by line segment A B. Point A is
AveGali [126]

Answer:

<h3>B. 4units</h3>

Step-by-step explanation:

Find the diagram attached. The diagram is a similar triangle.

From the diagram, XZ/XY = CA/AB

Given XZ = 2x-2+2x-2 = 4x-4

XY =5x-7

CA = 2x-2

AB= x+1

On substituting this parameters into the formula to get x first

4x-4/5x-7 = 2x-2/x+1

cross multiply

(4x-4)(x+1) = 5x-7(2x-2)

open the parenthesis

4x²+4x-4x-4 = 10x²-10x-14x+14

4x²-4 = 10x²-24x+14

10x²-4x²-24x+14+4 = 0

6x²-24x+18 = 0

x²-4x+3 = 0

x²-3x-x+3 = 0

x(x-3)-1(x-3)  =0

(x-3)(x-1) = 0

x = 3 and 1

Next is to get length AX.

Given AX = 2x-2

Substitute x = 3 into the expression

AX = 2(3)-2

AX = 6-2

AX = 4 units

Hence the measure of length AX is 4 units

4 0
3 years ago
The radius of a circular plate is 12 centimeters. What is the area, in square centimeters, of this plate? Write your Anwer using
lesya [120]

Answer:

The area of circular plate is <u>144π square centimeters</u>.

Step-by-step explanation :

<h3><u>Solution</u> :</h3>

Here, we have given that the radius of circular plate is 12 centimeters.

So, finding the area of circular plate by substituting the values in the formula :

\longrightarrow{\pmb{\sf{Area_{(Circle)} = \pi{r}^{2}}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi{(12)}^{2}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi{(12 \times 12)}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi{(144)}}}

\longrightarrow{\sf{Area_{(Circle)} = \pi \times 144}}

\longrightarrow{\sf{Area_{(Circle)} = 144\pi}}

\star{\underline{\boxed{\frak{\purple{Area_{(Circle)} = 144\pi\:  {cm}^{2}}}}}}

Hence, the area of circular plate is 144π square centimeters.

\rule{300}{2.5}

5 0
2 years ago
What is 115% of 2700?
Vinvika [58]
<span>3105 I believe
Hope this helped
~UhNeedle</span>
7 0
3 years ago
Read 2 more answers
Homework: Module 5 Section 2.1 Home
Papessa [141]

Answer:

idk

Step-by-step explanation:

3 0
3 years ago
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