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1 year ago

Find the gradient of the line joining (-1,9) and (3,5)

Mathematics

1 answer:

givi [52]1 year ago

5 0

$\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}$

<em>Find the gradient of the line joining (-1,9) and (3,5)</em>

<em /> $\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}$

Use the slope formula:-

$\boxed{\frac{y_2-y_1}{x_2-x_1}}$

Replace the letters with the numbers:-

$\boxed{\frac{5-9}{3-(-1)}}$

$\circ$ On simplification,

$\boxed{\frac{-4}{3+1}}$

$\circ$ On further simplification,

$\boxed{\frac{-4}{4}}$

$\circ\sf{SLOPE=-1}$

<h3>Good luck with your studies.</h3>

$\rule{300}{1}$

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1. A quadrilateral has vertices (5, 3) (5,-1) (-1,3) and (-1,-1). What special quadrilateral is formed by connecting the midpoin

antiseptic1488 [7]

Answer:

1. Kite,

2. Kite.

Step-by-step explanation:

1. The quadrilateral form will have 2 equal pairs of adjacent sides which is a kite.

2. Find the slope and length of the sides:-

slopes (9-6)/ 0-3) = -1

(6-1) / (3-0) = 5/3

(6-1) / (-3-0) = -5/3

(9-6)/(3) = 1

Lengths = sqrt(9 + 9) = sqrt18

sqrt(25 + 9) = sqrt34

sqrt (25 + 9) = sqrt34

sqrt (9 + 9) = sqrt18.

This is another kite.

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2 years ago

Mr. Simpson deposits his money in a savings account at the Springfield Bank. Would he earn more money with simple interest or wi

Neko [114]

Your Anwser is Compound Interest

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3 years ago

How is an equation like a balance scale!?! please make the response short and easy to understand !!

Sauron [17]

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3 years ago

Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

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2 years ago

The probability that a plane departs on time at a certain airport is .87 The probability that a plane arrives on time given it d

sleet_krkn [62]

Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

P(A) = 0.87

P(B|A) = 0.93

P(B) = ?

P(A n B) = ?

Mathematically;

P(B|A) = P(B nA)/P(A)

0.93 = 0.87/P(A)

P(A) = 0.87/0.93

P(A) = 0.935483870967742

which is 0.9355 to four decimal places

7 0

2 years ago