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Step2247 [10]
3 years ago
13

Calculate the length of the line segment. round your answer to the nearest tenth.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

c) 8.6

Step-by-step explanation:

Take the coordinates of the two points.

(0,8) and (7,3)

Formula:

√(x₁ - x₂)² + (y₁ - y₂)²

Substitute:

√(0 - 7)² + (8 - 3)²

√(-7)² + (5)²

√(49) + (25)

√(74) ≈ 8.6

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Find the area of a plane figure bounded by lines
natulia [17]

Answer: 4.5

<u>Step-by-step explanation:</u>

First, find the points of intersection by solving the system.

y = x² + 2x + 4

y = x + 6

Solve by substitution:

x² + 2x + 4 = x + 6   ⇒   x² + x - 2 = 0   ⇒   (x + 2)(x - 1) = 0   ⇒   x = -2, x = 1

Now, integrate from x = -2 to x = 1

\int\limits^1_2 {(x+6)-(x^{2}+2x+4) } \,    <em>the bottom of the integral is -2 </em>

= \int\limits^1_2 {x+6-x^{2}-2x-4 } \,

= \int\limits^1_2 {-x^{2}-x+2 } \,  

= \frac{-x^{3}}{3} - \frac{x^{2}}{2}+2x\int\limits^1_2 {} \,

= (\frac{-1^{3}}{3} - \frac{1^{2}}{2}+2(1)) - (\frac{-(-2)^{3}}{3} - \frac{(-2)^{2}}{2}+2(-2))

= (\frac{-1}{3} - \frac{1}{2} +2) - (\frac{8}{3} -\frac{4}{2} -4)

= \frac{-9}{3} + \frac{3}{2} +6

= -3 + 1.5 + 6

= 4.5


3 0
3 years ago
Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles &lt;1 and &lt;2, a
RUDIKE [14]

Answer:

  • D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

Step-by-step explanation:

A. m<1 + m<2 + m<3 + m<4 = 360

  • Incorrect in terms of the proof

B. The sum of the measures of angles of a triangle is 180°

  • Not relevant

C. The measure of all right is 90°

  • Not relevant

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

  • Correct
8 0
3 years ago
Find simple interest to the nearest cent for each principle, rate, and time. I= Prt. $1200, 3.9%, 2 years 6 months.
kykrilka [37]

Answer:

117.00

Step-by-step explanation:

I = prt  where i is the interest , p is the principal r is the rate and t is the time in years

2 years 6 months is 2.5 years

I = 1200 * .039* 2.5

I =117

6 0
3 years ago
Has this app helped u​
pochemuha

Answer:

Discoveries and scientific and technical inventions do not influence the behavior of people, but their lives do

Step-by-step explanation: what app and ok

6 0
2 years ago
Read 2 more answers
Pls help. 6th grade math.
alexdok [17]

Answer:

Note: If this is really sixth grade math, then im a cucumber. It's way easier than MY math, and I'm in 6th grade lol :P

Another Note: Please vote me "Brainliest", I put a lot of work into this :)

1. 40

2. 60

3. 1.35

4. 6

5. Do this yourself, it requires actually explaining and you have to use your own words. :)

6. Do this yourself, it requires actually explaining and you have to use your own words. :)

7. Do this yourself, it requires actually explaining and you have to use your own words. :)

8. 600 people

9. 4200 people

10. 149 people

11. Sahil came up with his answer so quickly because if 45 is 10% of <em>x</em>, then obviously 30% of x would be 45 times 3 and that is 135. Due to this, he quickly new that the number of people between the ages of 30 and 49 that voted is 135 people.

That's it, please heart my answer and vote me brainliest :)

Step-by-step explanation:

Do you really need this part? I didn't do it because it would take forever LOL

7 0
3 years ago
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