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Nezavi [6.7K]
3 years ago
8

Find BA if B(-3,-1) and A(0,1). Round to the nearest tenth.

Mathematics
1 answer:
Dvinal [7]3 years ago
3 0

Answer:

BA=\sqrt{13}

Step-by-step explanation:

We are given two point B(-3,-1) and A(0,1)

We need to find distance BA

Using distance formula of two coordinate

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Where,

(x_1,y_1)\rightarrow (-3,-1)

(x_2,y_2)\rightarrow (0,1)

Now we substitute points into formula and we get BA

BA=\sqrt{(0-(-3))^2+(1-(-1))^2}

BA=\sqrt{(0+3)^2+(1+1)^2}

BA=\sqrt{3^2+2^2}

BA=\sqrt{9+4}

BA=\sqrt{13}

Thus, Distance BA would be \sqrt{13}

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Variable c is 5 more than variable
shutvik [7]
First, let us restate the given conditions

c is 5 more than variable a ( c = a + 5)
c is also three less than variable a (c = a - 3)

Now, lets look at the answer choices and or given
c = a − 5 
c = a + 3
Here, c is 5 less than "a"...so automatically disqualified

a = c + 5
a = 3c − 3 
Here, we have to get "C" by itself in both top and bottom equation.
So,
Simplified version :
c = a - 5
Here, c is 5 less than "a"...so automatically disqualified


a = c − 5
a = 3c + 3
Here also, we have to get "C" by itself in both top and bottom equation.
So, 
simplified version:
c = a + 5
Here, c is 5 more than "a"...so we continue
c = (a - 3) / 3
Here, c is 3 less than "a" <u>divided by 3</u><u /> . So, this is not correct

c = a + 5
c = a − 3
Here, c is 5 more than "A"
Also, c is 3 less than "a"
Which satisfies the given.

 So, our answer is going to be the last one:
 
 c = a + 5
 c = a - 3
7 0
3 years ago
Read 2 more answers
What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)? −8 −4 33 49
alisha [4.7K]

Answer:

y - value of the vertex is 49.

Step-by-step explanation:

Given function is f(x) = -(x - 3)(x + 11)

f(x) = -(x² - 3x + 11x - 33)

     = -(x² + 8x - 33)

     = -(x² + 8x + 16 - 49)

     = -[(x + 4)² - 49]

     = -(x + 4)² + 49

Comparing this equation with the vertex form of a quadratic function,

f(x) = -(x - h)² + k

Where (h, k) is the vertex of the function.

Vertex of the parabola is (-4, 49)

Therefore, y-value of the vertex is 49.

4 0
3 years ago
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One liter of paint covers 100 square feet. How many gallons of paint does it take to cover a room whose walls have an area of 80
Finger [1]
Its 3200 square feet so 32 gallons
5 0
3 years ago
Wegnerkolmp or someone who can explain maths please<br> I need a proper explanation
umka2103 [35]

Answer: 66 degrees

Explanation:

Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.

Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees

Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.

So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x

x+24 = 90

x+24-24 = 90-24

x = 66

That is why angle CDE is 66 degrees

6 0
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5 1/6 divided by 2 5/12= 2 4/29 true or false
Alex_Xolod [135]
5 1/6 divided by 2 5/12 is 2 4/29 so it is true
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