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2 years ago

Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?

Mathematics

2 answers:

Lelu [443]2 years ago

7 0

Answer:

True

Step-by-step explanation:

1.45 the 5 is equal/above it so it is true

Naddik [55]2 years ago

4 0

Yes if it's 5 or more your round it up 4 or less you don't

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Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

Alex Ar [27]

Answer:

$\frac{x^2}{12}-\frac{y^2}{4}=1$

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>

<u /> $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Directrices -> $x=\pm\frac{a^2}{c}$
Foci -> $(\pm c,0)$ where $a^2+b^2=c^2$
$a>b$

Since we are given our directrices of $x=\pm3$ and foci of $(\pm4,0)$ , then we can set up the directrices equation to solve for $a^2$ :

$x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2$

Now we can determine $b^2$ to complete our equation for the hyperbola:

$a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4$

Therefore, our equation for our hyperbola is $\frac{x^2}{12}-\frac{y^2}{4}=1$

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1 year ago

Massimo spent $90. riding the bus. Each bus ride cost $2.50. Write and solve an equation to determine how many times Massimo rod

Varvara68 [4.7K]

Answer:

$90 ÷ $2.50 = 36

Massimo rode the bus 36 times.

Please mark brainliest. Have a great day!

5 0

2 years ago

The quadrilaterals JKLM and PQRS are similar.<br> Find the length x of SP.

Anna35 [415]

8.4 is your answer to this question

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2 years ago

Paul started work at company b ten years ago at the salary of 30,000 starting year and 2400 for yearly salary increase at the sa

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2 years ago

The graph of the piecewise function f(x) is shown what is the domain of f(x)

Rom4ik [11]

The domain of a function is where we have a value for x.

Since that's the case the domain of f(x) = {x e R / 1 ≤ x < 5}

We see that we have a value for x = 1 cuz we have a filled circle, but we don't have a value for x = 5, look at the unfilled circle

So, our x can vary between 1 and 5, but can't be 5.

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2 years ago