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3 years ago

If the points (-8, 7) and T (6,-3) are on a line segment, find the length of ST.

Mathematics

1 answer:

larisa86 [58]3 years ago

8 0

Answer:

The answer is

<h2>2√74 or 17.20 units</h2>

Step-by-step explanation:

The length of w line segment between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-8, 7) and T (6,-3)

The length of ST is

$|ST| = \sqrt{ ({ - 8 - 6})^{2} + ({7 + 3})^{2} } \\ = \sqrt{ ({ - 14})^{2} + {10}^{2} } \\ = \sqrt{196 + 10} \\ = \sqrt{296} \\ = 2 \sqrt{74} \\ = 17.2046505...$

We have the final answer as

<h3>2√74 or 17.20 units</h3>

Hope this helps you

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PLEASE HELP !!!

Wewaii [24]

Answer:

Step-by-step explanation:

its quadratic because it has the almost oval-ish shape

3 0

3 years ago

Find the missing side or angle.<br> Round to the nearest tenth.

BartSMP [9]

Answer:

$b = 2.7$

Step-by-step explanation:

Given:

< C = 53°

< B = 80°

a = 2

Required:

Find b

Solution:

The question given suggests we are given measures for a ∆.

To find side b, which corresponds to angle B, first, we'd find angle A, which corresponds to side a, then apply the Law of sines to find side b.

=> A = 180 - (53 + 80) = 47°

Law of Sines: $\frac{a}{sin(A} = \frac{b}{sin(B}$

Plug in the values into the formula

$\frac{2}{sin(47} = \frac{b}{sin(80}$

Cross multiply

$2*sin(80) = b*sin(47)$

Divide both sides by sin(47) to make b the subject of formula

$\frac{2*sin(80)}{sin(47} = b$

$2.69 = b$

$b = 2.7$ (nearest tenth)

8 0

3 years ago

Find the area of the figure. PLEASSEEEEEEEE!!!!!!!!

allochka39001 [22]

Given:

side length = 6 ft

To find:

The area of the figure

Solution:

Area of the square = side × side

= 6 × 6

Area of the square = 36 ft²

Diameter of the semi-circle = 6 ft

Radius of the semi-circle = 6 ÷ 2 = 3 ft

Area of the semi-circle = $\frac{1}{2} \pi r^2$

$$=\frac{1}{2} \times 3.14 \times 3^2$

Area of the semi-circle = 14.13 ft²

Area of the figure = Area of the square - Area of the semi-circle

= 36 ft² - 14.13 ft²

= 21.87 ft²

Area of the figure = 21.9 ft²

The area of the figure is 21.9 ft².

5 0

3 years ago

Help in this as well

Charra [1.4K]

Answer:

b 321 and 322

Step-by-step explanation:

because 321.5 is between 321 and 322

6 0

3 years ago

How many times can 38 go into 192 using long division

pshichka [43]

Answer: 5.0526

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 38 on the left side and the dividend 192 on the right side like this:

3 8 ⟌ 1 9 2

Step 2:

The divisor (38) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

3 8 ⟌ 1 9 2

Step 3:

Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer below the dividend.

3 8 ⟌ 1 9 2

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

3 8 ⟌ 1 9 2

- 0

Step 5:

Move down the 2nd digit of the dividend (9) like this:

3 8 ⟌ 1 9 2

- 0

1 9

Step 6:

The divisor (38) goes into the bottom number (19), 0 time(s). Therefore, put 0 on top:

0 0

3 8 ⟌ 1 9 2

- 0

1 9

Step 7:

Multiply the divisor by the result in the previous step (38 x 0 = 0) and write that answer at the bottom:

0 0

3 8 ⟌ 1 9 2

- 0

1 9

Step 8:

Subtract the result in the previous step from the number written above it. (19 - 0 = 19) and write the answer at the bottom.

0 0

3 8 ⟌ 1 9 2

- 0

1 9

- 0

1 9

Step 9:

Move down the last digit of the dividend (2) like this:

0 0

3 8 ⟌ 1 9 2

- 0

1 9

- 0

1 9 2

Step 10:

The divisor (38) goes into the bottom number (192), 5 time(s). Therefore put 5 on top:

0 0 5

3 8 ⟌ 1 9 2

- 0

1 9

- 0

1 9 2

Step 11:

Multiply the divisor by the result in the previous step (38 x 5 = 190) and write the answer at the bottom:

0 0 5

3 8 ⟌ 1 9 2

- 0

1 9

- 0

1 9 2

1 9 0

Step 12:

Subtract the result in the previous step from the number written above it. (192 - 190 = 2) and write the answer at the bottom.

0 0 5

3 8 ⟌ 1 9 2

- 0

1 9

- 0

1 9 2

- 1 9 0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 192 divided by 38 calculated using Long Division is: 5.0526

6 0

3 years ago

If the points (-8, 7) and T (6,-3) are on a line segment, find the length of ST.​

If the points (-8, 7) and T (6,-3) are on a line segment, find the length of ST.