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2 years ago

Stacy has $25 in her savings account.

Mathematics

1 answer:

Travka [436]2 years ago

6 0

Answer:

The answer is 25+0.50x>150

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What is a coefficient? please explain correctly

PilotLPTM [1.2K]

Answer:

any of the factors of a product considered in relation to a specific factor especially : a constant factor of a term as distinguished from a variable. 2a : a number that serves as a measure of some property or characteristic (as of a substance, device, or process) coefficient of expansion of a metal. b : measure

Step-by-step explanation:

7 0

2 years ago

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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:

Formula for hyperbola with horizontal transverse axis centered at origin

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

5 0

1 year ago

Mason opens a savings account by making a $165.85 deposit. Every week, he deposits another $20.50 in the account. The following

monitta

Answer:

370.85

Step-by-step explanation:

20.50×10. +165.85=

4 0

2 years ago

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The height of a triangle is 4 m less than it's base. The area of the triangle is 48m^2. Find the length of the base.

laila [671]

The answer is choice C.

6 0

2 years ago

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Perform the following operations and write the answers in radical form. Part A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90

Sveta_85 [38]

Answer:

$\sqrt{7}+\sqrt{3}+4\sqrt{2}$
$3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}$

Step-by-step explanation:

Part A ;

$\sqrt{7} +\sqrt{3} +\sqrt{98} -\sqrt{18} \\\\\sqrt{98}=7\sqrt{2}\\\sqrt{18}=3\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+7\sqrt{2}-3\sqrt{2}\\\\\mathrm{Add\:similar\:elements:}\:7\sqrt{2}-3\sqrt{2}=4\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+4\sqrt{2}$

Part B ;

$3\sqrt{5} - 3\sqrt{11} + 2\sqrt{121} -3\sqrt{90} \\\\2\sqrt{121}=22\\3\sqrt{90}=9\sqrt{10}\\\\=3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}$

8 0

2 years ago