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balu736 [363]
3 years ago
14

Find the distance between the points (–8,10) and (4,10).

Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

12

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[4 - (-8)]² + (10 - 10)²

√(12)² + (0)²

√144 + 0

√144

=12

You might be interested in
What is the common ratio of the following geometric sequence 5/12, 1/4,3/20,9/100,27/500
suter [353]

Answer:

3/5

Step-by-step explanation

Ratio =second term divided inti first term a2/a1

a1=5/12      a2=1/4

1/4: 5/12  is the same as      1/4*12/5 =12/20 = 3/5

5/12*3/5 = 15/60 = 1/4

1/4* 3/5 =3/20

3/20*3/5 =9/100

9/100 *3/5 = 27/500..........

5 0
3 years ago
An orange traffic cone has a diameter of 10 in. and a height of 28 in.
masha68 [24]

Answer:

733 inches

Step-by-step explanation:

V= 3.14*5^2*28/3

Order of Operations (PEMDAS)

5^2=25

25*3.14= 78.5

78.5*28= 2198

2198/3=732.66

Round to nearest cubic inch

733 inches

8 0
3 years ago
Which ratio is different?<br><br> 3 : 7<br><br><br> 3 to 7<br><br><br> 3/7<br><br> 7 to 3
Masteriza [31]

Answer:

7 to 3 is this answer

Step-by-step explanation:

if you noticed, with all the other ones they all have 3 : 7 in it. So by the process of elimination it's 7 to 3 that is different. I'll tell you why,

3 : 7, that is the ratio we have as an example. That's why it isn't the different one.

3 to 7, you say 3 : 7 as 3 to 7 to it still has the same ratio

3/7, this is how to type the fraction version of the ratio so it makes sense that it is the same one as 3 : 7.

7 to 3, if you haven't noticed yet, all of them has 3 : 7 as a counterpart. They are all the same but this one, this is 7 : 3 or 7 to 3. So with logic, this is the different ratio.

5 0
3 years ago
Given: m∠A = m∠C = 90° AB ║ DC Prove: ∆ABD ≅ ∆CBD
Genrish500 [490]

Answer:

Angle-Angle-Side (AAS)

Step-by-step explanation:

Given triangles; ΔABD and ΔCBD

  <A = <C = 90^{0} (right angle property)

   AB ║ DC (given)

Then,

    DA ║ CB

   <B ≅ <D (congruent property)

    DB ≅ BD (similarity property)

    <D + <B = <B + <D (complementary angles, and property of triangles)

Therefore by Angle-Angle-Side (AAS),

                 ∆ABD ≅ ∆CBD

4 0
3 years ago
What expression is equivalent to the area of metal sheet required to make this square-shaped traffic sign?
AveGali [126]

Answer: \text{Area of the square shaped traffic sign }=16x^2+9+24x

Step-by-step explanation:

Given: The side of the square shaped traffic sign = 4x+3

We know that the area of square is given by:-

Area= side^2

Therefore, the area of the side of the square shaped field is given by:-

Area=(4x+3)^2

We know that , (a+b)^2=a^2+b^2+2ab

Therefore,

(4x+3)^2=(4x)^2+(3)^2+2(4x)(3)\\=16x^2+9+24x

Hence, \text{Area of the square shaped traffic sign }=16x^2+9+24x

3 0
3 years ago
Read 2 more answers
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