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Naddik [55]
2 years ago
13

1. A(–6 , 2) , B(4 ,7) are endpoints of a line segment.

Mathematics
1 answer:
bulgar [2K]2 years ago
4 0

The length of the line AB as described by points A and B in the task content is; √125.

<h3>What is the length of the line?</h3>

a) The length of AB as described is;

AB = √((7-2)² + (4-(-6))²)

AB = √(25 + 100) = √125.

b) The slope of AB is;

Slope, m = (7-2)/(4-(-6)) = 5/10

Slope = 1/2.

c). The coordinates of the midpoint of AB are;

x = (4+(-6))/2 = -1

y = (7+2)/2 = 4.5

The midpoint is; (-1, 4.5).

2) The radius of the circle as described with centre (0, 0) that passes through the point (5, –3) is;

Radius = √((5-0)² + (-3-0)²)

Radius = √(25+9) = √34 = 5.8

3) Hence, the equation of a circle with centre (0, 0) that passes through the point (5, –3) is;

(x-5)² + (x-3)² = 5.8².

Read more on length of a line;

brainly.com/question/1597347

#SPJ1

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PLEASE HELP ASAP!!
Fed [463]

Answer: The missing statements are,

In first blank:  ∠2≅∠1

In second blank:  AC≅AC

In third blank:  Reflexive

Step-by-step explanation:

Since, The hypotenuse angle theorem states that if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent to each other.

Here, given:

∠D and ∠B are right angles.

DC ║ AB

Prove: Δ ADC ≅ Δ CBA

              Statement                                       Reason

1.∠D and ∠B are right angles       1. Given

2. ∠2 ≅ ∠1                                      2. If lines are parallel then interior angles

                                                        are equal

3. AC≅AC                                      3. Reflexive

4.Δ ADC ≅ Δ CBA                        4. Hypotenuse angle theorem

                                                                     




6 0
3 years ago
Hell help me out thank youuuuuu byeee
Crank

Answer:

if im right its number 4!! if its not right sorry i did the math and thats what i got!!

4 0
3 years ago
A car braked with a constant deceleration of 64 ft/s2, producing skid marks measuring 50 ft before coming to a stop. How fast wa
vitfil [10]

Answer:

The initial speed of the car was 80 ft/s.

Step-by-step explanation:

The deceleration is the rate at which the car speed decreases. In this case the speed of the car goes all the way down to 0 ft/s and in order to do that it travelled 50 ft.  So we will call the initial speed at which the car started to brake "v_0" and use Torricelli's equation to find it. The equation is given by:

v^2 = (v_0)^2 + 2*a*S

Where v is the final speed, v_0 is the initial speed, a is the rate of acceleration and S is the space travelled. Using the values that the problem gave to us we have:

0^2 = (v_0)^2 - 2*64*50

0 = (v_0)^2 - 6400

(v_0)^2 = 6400

v_0 = sqrt(6400) = 80 ft/s

Notice that in this case "a" was negative, since the car was decelerating instead of accelerating.

The initial speed of the car was 80 ft/s.

4 0
3 years ago
Read 2 more answers
So quick question
Montano1993 [528]

Answer:

The first friend

Step-by-step explanation:

Because if you distributed the 7 then you will also get 7x.

5 0
2 years ago
Help I need to know plz
lana66690 [7]

Answer:

4 quarts

Step-by-step explanation:

3 gal = 12 quarts

4 pt = 2 quarts

24 cup = 6 quarts

2+6=8 12-8=4

7 0
3 years ago
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