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liubo4ka [24]
2 years ago
11

What is the gradient of the blue line

Mathematics
1 answer:
Setler79 [48]2 years ago
7 0

Answer:

-5

Step-by-step explanation:

\mathsf{gradient=\dfrac{change\ in\ y}{change \ in \ x}}

Pick 2 points on the line:

(-2, 5) and (-1, 0)

\implies \mathsf{gradient=\dfrac{5-0}{-2--1}=-5}

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david has 212 feet of chain link fencing that he used to make a rectangular garden space in his backyard. the lengthof the garde
joja [24]

Answer:

calcium is in shells and bones

Step-by-step explanation:

4 0
3 years ago
Find the other two vertices of a square with one vertex (0, 0) and another vertex (4, 2). Can you find another answer?
Margarita [4]

It is given that two vertices of square are (0,0) and (4,2).

Now the problem is that you haven't given that whether these two vertices are adjacent vertices or opposite vertices of the square.

1. By Supposing that these two are adjacent vertices of Square

The third vertex will be at (-4,2) which lies in third quadrant.

Suppose the coordinate of fourth vertex be (x,y).

Mid point of line joining (4,2) and (-4,2) is{ [4+(-4)]/2,(2+2)/2} is (0,2).

Mid point of line joining (x,y) and (0,0) is (x/2,y/2).

Since diagonals of square bisect each other,

∵ x/2=0

⇒x=0

and

y/2=2

⇒y=4

So, The Coordinate of  fourth vertex is (0,4).

Now coming back to second condition if these are two opposite vertex of Square.

Let the third coordinate be (a,b).

Length of diagonal=\sqrt{(4-0)^2+(2-0)^2}=\sqrt20=2\sqrt5

Now,let side of Square be A.

Then length of Diagonal of square =√2 A

⇒√2 A=2√5

⇒A =√10

As third vertex is (a,b).

Using distance formula

a² + b²=10  -------------(1)

(a-4)²+ (b-2)²=10  --------------(2)

Solving expression (1) and (2), we get

⇒a²+ b²=(a-4)² +(b-2)²

⇒2a + b =5

⇒b=5-2a

Putting the value of b in (1),we get

⇒a² +(5-2a)²=10

⇒a²+25+4a²-20a =10

⇒5a²-20a+15=0

⇒a² - 4a + 3=0

Splitting the middle term,we get

⇒(a-3)(a-1)=0

⇒a=3  ∧  a=1

we get b=5-2×1=3 and b=5-2×3=5-6=-1

So,the other vertex are (1,3) and(3,-1).





3 0
3 years ago
Given b(x) = X+41, what is b(-10)?<br> О -10<br> боооо
ch4aika [34]
Answer: 31
step by step solution: so the function is b(x)=x+41. they want to know what the function would equal when b(-10). so b(-10) means that you would plug (-10) in for x in the function so the function would now be b(x)=(-10)+41. now all you have to do is simplify the function. b(x)=31. so the function b(-10)=x+41 equals 31. hope this helped!!! have a great day.
6 0
3 years ago
Please help me solve this problem.
KatRina [158]
The square of the diagonal (d1) of the end face is
.. (d1)^2 = (3 in)^2 +(5 in)^2 = (9 +25) in^2 = 34 in^2

The square of the longest diagonal (d2) will be given by
.. (d2)^2 = (3x in)^2 +(d1)^2
.. = (9x^2 +34) in^2

So, the longest diagonal is
.. d2 = √(9x^2 +34) in
4 0
4 years ago
Please no link answers you will be reported
rewona [7]

Answer:

B

Step-by-step explanation:

You can use the key features (such as the vertex) to determine which is the correct equation

7 0
3 years ago
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