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2 years ago

Use rounding to estimate the product. Is your estimate an underestimate or an overestimate? 8 × 9.82

Mathematics

1 answer:

kkurt [141]2 years ago

7 0

Answer:

Over

Step-by-step explanation:

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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:

(-3, -129)

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 (-3, -129)

7 0

2 years ago

So How would you write 6.5E4

vladimir2022 [97]

Hope that helps

6.5 x 10^4

Or

65000

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2 years ago

Is -6.333 greater less equal to -6.375

Leviafan [203]

6.375 is greater than 6.333

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2 years ago

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Jack cuts a pie into 4 equal parts. The pieces are called _______ of the pie

djyliett [7]

Fractions of the pie?

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Factor the expression. x squared-25

grin007 [14]

X2 - 25 = x2 - 52 = (x - 5)(x + 5)

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2 years ago