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katrin2010 [14]
3 years ago
9

Susan says, I am thinking of a number that has a four in the hundreds place and two in the ones place. When you round it to the

nearest hundreds, it is 500. What number could Susan be thinking of? What else could be Susan's number?​
Mathematics
1 answer:
My name is Ann [436]3 years ago
5 0
The number could be either 492 or 482
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viktelen [127]

Answer:

60 degrees

Step-by-step explanation: beacuse its 60 egress

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4 years ago
Using the formula, find the slope of the line through the given points (9,7) and (7,9)
Nesterboy [21]
Slope= y2-y1/x2-x1
so
slope=9-7/7-9
slope=-1
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3 years ago
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muminat
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3 years ago
System of equations <br> Elimination<br> please help i am stuck!!
Anika [276]
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7 0
3 years ago
Let $P$ and $Q$ be constants. The graphs of the lines $x + 5y = 7$ and $15x + Py = Q$ are perpendicular and intersect at the poi
Marta_Voda [28]

Answer:

<em>(-3, -129)</em>

<em></em>

Step-by-step explanation:

Given

Two lines:

$x + 5y = 7$

$15x + Py = Q$

are perpendicular to each other and intersect at point (-8,3).

To find: (P, Q)

Solution:

The two lines intersect at (-8,3).

It means, the equation of line will be satisfied when we put value of x = -8 and y = 3

Putting in the second equation, we will get an equation in P and Q:

15\times (-8) + P \times 3 = Q\\\Rightarrow 3P = Q +120 ..... (1)

Given that two lines are perpendicular.

It means the product of their slopes will be equal to -1.

i.e. m_1\times m_2=-1

Slope of a line of the form ax+by+c=0 is given as:

m=-\dfrac{a}{b}

So, slopes of given lines are:

m_1=-\dfrac{1}{5}\\m_2=-\dfrac{15}{P}

Using the condition:

-\dfrac{1}{5}\times \dfrac{-15}{P}=-1\\\Rightarrow P = -3

Putting the value of P in equation (1):

\Rightarrow 3\times (-3) = Q +120 \\\Rightarrow Q = -9-120 = -129

So, answer is <em>(-3, -129)</em>

7 0
3 years ago
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