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ratelena [41]
3 years ago
5

Mark is playing baseball after school. He wants to find the total distance he will need to ride his bike from school to the park

, where his game will be played. Find the distance Mark will ride to the park from school. Leave your answer in
simplest radical form if necessary.

- 6
- square root 13
- 5
- 2 square root 5

Mathematics
2 answers:
Elan Coil [88]3 years ago
8 0

Answer:

i think it's 6.

...........................

Aleonysh [2.5K]3 years ago
6 0

Answer:

2√5

Step-by-step explanation:

school is at (8,7) and park is at (10,11)

distance formula is the square root of the difference of the y-values, squared, added to the difference of the x-values, squared.

d = √(11-7)²+(10-8)²

d = √4²+2²

d = √16+4

d = √20 which equals √4·√5 which equals 2√5

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lina2011 [118]

c. traingular prism                              

7 0
3 years ago
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if a line crosses the y-axis at (0, 1) and has a slope of `4/5`, what is the equation of the line? A. 4y − 5x = 5 B. y − 4x = 5
slamgirl [31]

Answer:

option (d) is correct.

if a line crosses the y-axis at (0, 1) and has a slope of \frac{4}{5}, then equation  of line is 5y - 4x = 5.

Step-by-step explanation:

Given : if a line crosses the y-axis at (0, 1) and has a slope of \frac{4}{5}.

We need to find the equation of line.

Equation of line is of the form y = mx + c, where m is the slope of line and c is the y- intercept. that is the point where line meets y- axis.

Given y intercept at (0, 1 ) ⇒ c = 1

Also, slope m = \frac{4}{5}

Substitute it in equation,  we get ,

y = mx + c ⇒  y=\frac{4}{5}x+1

Solving , we get equation of line as ,

5y = 4x + 5 ⇒ 5y - 4x = 5

Thus, option (d) is correct.

if a line crosses the y-axis at (0, 1) and has a slope of \frac{4}{5}, then equation  of line is 5y - 4x = 5.

5 0
3 years ago
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Hans is sitting in a movie theater, 19 meters from the screen. The angle of elevation from his line of sight to the top of the s
IgorC [24]

Answer:

12.8 m

Step-by-step explanation:

From the diagram :

Height PR = 19m

Using Pythagoras :

From triangle PQR:

QR = x

Tan θ = opposite / Adjacent

Tan 22° = x / 19

x = tan 22° * 19

x = 0.4040262 * 19

x = 7.6764982 m

From triangle PRS:

SR = y

Tan θ = opposite / Adjacent

Tan 15° = y / 19

y = tan 15° * 19

y = 0.2679491 * 19

y = 5.0910346

Height of entire screen :

(7.6764982 + 5.0910346) m

= 12.7675328 m

= 12.8 m

3 0
3 years ago
Please help!
anygoal [31]

Answer:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Step-by-step explanation:

A = P(1 + r/n)^nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

5 0
3 years ago
Simplification (x and ÷)
Dmitry_Shevchenko [17]

Answer:

the first answer is a⁴ +am²

Step-by-step explanation:

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a² + a² = a⁴

am + am =am ² ( they each have one so they add up to two)

an and mn cancel each other out

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