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CaHeK987
2 months ago
8

A city determines that a planned community must have at least 4 acres of developed and open space, and the difference

Mathematics
1 answer:
lawyer [12.5K]2 months ago
3 0

Answer:

The attached figure illustrates the graph.

Step-by-step explanation:

Let

x represents the count of open acres

y depicts the total developed acres

It is established that

x+y \geq 4 corresponds to inequality A

x\leq 1 corresponds to inequality B

Keep in mind that

if the open acres, x, is limited to a maximum of 1, then it follows that x must adhere to ≤ 1

The system of equations can be solved by graphing

The solution is found in the shaded area (Note Negative acreage counts are not permissible)

The attached figure serves as a visual representation.

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What is true about △ABC? Select three options
Svet_ta [12734]

Answer:

A) AB is perpendicular to AC

B) The triangle is classified as a right triangle.

C) The triangle qualifies as an isosceles triangle

Step-by-step explanation:

we understand that

the method for determining the distance between two points is as follows:

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Calculate the distance AB

we find

A(-1,3), B(-5,-1)

insert values into the formula

d=\sqrt{(-1-3)^{2}+(-5+1)^{2}}

d=\sqrt{(-4)^{2}+(-4)^{2}}

d_A_B=\sqrt{32}\ units

step 2

Calculate the distance BC

we determine

B(-5,-1),C(3,-1)

insert values into the formula

d=\sqrt{(-1+1)^{2}+(3+5)^{2}}

d=\sqrt{(0)^{2}+(8)^{2}}

d_B_C=8\ units

step 3

Calculate the distance AC

we figure out

A(-1,3),C(3,-1)

apply the formula

d=\sqrt{(-1-3)^{2}+(3+1)^{2}}

d=\sqrt{(-4)^{2}+(4)^{2}}

d_A_C=\sqrt{32}\ units

step 4

Examine the lengths of the triangle's sides

d_A_B=\sqrt{32}\ units

d_B_C=8\ units

d_A_C=\sqrt{32}\ units

therefore

The triangle ABC is identified as an isosceles triangle, having two equal-length sides. It also meets the criteria for being a right triangle due to the Pythagorean theorem.

BC^2=AB^2+AC^2

8^2=(\sqrt{32})^2+(\sqrt{32})^2

64=32+32

64=64 ----> confirms the right triangle classification.

AB is perpendicular to AC since the legs in a right triangle are at right angles to each other.

5 0
3 months ago
Read 2 more answers
Let p: x=4 let q:y=-2
babunello [11817]

Question:

Let p: x = 4 Let q: y = −2 Which represents "If x = 4, then y = −2”? p ∨ q p ∧ q p → q p ↔ q

Answer:

The correct option is c: p → q

Explanation:

Option a: p ∨ q

p ∨ q indicates that either p is true, or q is true, or both hold true.

Therefore, Option a is not the right answer.

Option b: p ∧ q

p ∧ q signifies that both p and q are true.

Thus, Option b is not the correct choice.

Option c: p → q

p → q means if p is indeed true, then q must also be true.

So, Option c is the right choice.

Option d: p ↔ q

p ↔ q implies that if p holds true, then q is true, and vice versa.

Thus, Option d is not the correct option

.

Therefore, p → q is the accurate option.

6 0
2 months ago
If Jean’s weekly income doubled she would be making $120 a week more than Barbara. Jean’s
AnnZ [12381]
The correct choice is c because her earnings total $240.
5 0
1 month ago
The warehouse already has 27 pallets of stock waiting to be unloaded, and the delivery van arrives with another 8. The warehouse
PIT_PIT [12445]
To find the solution, you need to add 27 and 8 together, which results in 35. After calculating that, you should subtract 32 from 35, leading to a remainder of 3, indicating that 3 extra pallets will be remaining as your answer.
5 0
2 months ago
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