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Pavlova-9 [17]
3 years ago
12

Carolina leaves her house and walks 6 blocks she turns and heads east 8 blocks until she reaches matties house what is the short

est distance between Carolinas house and matties house
Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0

Answer:

10 blocks

Step-by-step explanation:

Given

First = 6\ blocks

Second = 8\ blocks east

Required

Determine the shortest possible distance

To better explain my solution, I've added an attachment that illustrates her movement.

Using the attachment as a point of reference, the shortest distance is calculated by calculating the length of the hypotenuse using Pythagoras theorem.

So, we have:

x^2 = 6^2 + 8^2

x^2 = 36 + 64

x^2 =100

Take positive square root of both sides

x = \sqrt{ 100

x = 10

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Which is the slope of the line that passes through the points (3,5) and (8,7)?
Hatshy [7]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

m=\boxed{\frac{2}{5}}

»»————- ★ ————-««  

Here’s why:  

  • The formula for the slope of two given lines given is 'rise over run'.

⸻⸻⸻⸻

\boxed{\text{Slope Formula:}}\\\\\frac{y_2-y_1}{x_2-x_1}\\\\\rightarrow (x_1,y_1),(x_2,x_1) - \text{Two Points Given}

⸻⸻⸻⸻

  • We are given the points (3,5) and (8,7).

⸻⸻⸻⸻

\boxed{\text{Finding the Slope:}}\\\\\rightarrow m=\frac{7-5}{8-3}\\\\\rightarrow \boxed{m=\frac{2}{5}}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
3 years ago
Write the polynomial function with the given zeros.<br> 5. x= -1,-1, 6
Allushta [10]

Answer:

Step-by-step explanation:

There are many such polynomials, but the one with leading coefficient of 1 is

y = (x+1)(x-1)(x-6) = x^3 - 6x^2 - x + 6

Not sure what you want to do with the 5, If that is the y-intercept, then since

(1)(-1)(-6) = 6, we will need

y = 5/6 (x^3 - 6x^2 - x + 6)

5 0
3 years ago
Fifty-four is ___% of 60.<br><br> 20 points offered
prisoha [69]

Answer:

54÷60×100= 90%

Step-by-step explanation:

90%

cmon man

4 0
3 years ago
Read 2 more answers
Solve the following equation for L<br> P=2L+2W
Maslowich
P=2L+2W
P-2W=2L
P/2-W=L
L=P/2-W
3 0
3 years ago
Can you help me pleeeeaaassee??
melamori03 [73]

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC, Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1), Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Given: The diagram is given and we need to find the errors and then fix them. Also ΔTSR ≈ ΔTCD

Let's solve the given question:

Given that ΔTSR ≈ ΔTCD

So we know by the properties of the similarity that if two triangles are similar then the ratio of their corresponding sides is equal.

So, ΔTSR ≈ ΔTCD

=> RT / TD = ST / TC

=> 14 / 7 = 16 / (x - 1)

In the question, we can observe that the given side ratio is DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC.

The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

The third error is the value of x.

We can find the correct value of x from the given equation:

14 / 7 = 16 / (x - 1)

=> 2 = 16 / (x - 1)

Multiplying both sides by (x - 1):

(x - 1) × 2 = 16 / (x - 1) × (x - 1)

=> 2(x - 1) = 16

Multiplying both sides by 1 / 2:

2(x - 1) × 1 / 2= 16 × 1 / 2

=> x - 1 = 8

Adding 1 on both sides:

x - 1 + 1 = 8 + 1

x = 9

Therefore x = 9.

Hence the errors are:

Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC

Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).

Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.

Know more about "similar triangles" here: brainly.com/question/14366937

#SPJ9

8 0
2 years ago
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