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2 years ago

18. Ingrid usually runs 12 miles in 2 hours. If she

Mathematics

1 answer:

spayn [35]2 years ago

6 0

Answer:

4 miles

Step-by-step explanation:

120min/12miles

10min/1mile

40min/4miles

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Simplify 24x5 y6 . A) 2x2 y3 6x B) 4x2 y3 6x C) 6x2 y3 4x D) 6x2 y3 2x

Cerrena [4.2K]

Answer : A $2x^2y^3\sqrt{6x}$

$\sqrt{ 24x^5y^6}$

Take square root for each term and simplify it

$\sqrt{24} *\sqrt{x^5} *\sqrt{y^6}$

$\sqrt{24}=\sqrt{4 * 6} = 2\sqrt{6}$

$\sqrt{x^5} = x^2\sqrt{x}$

$\sqrt{y^6} = y^3$

so we will get

$2\sqrt{6} * x^2\sqrt{x} * y^3$

$2x^2y^3\sqrt{6x}$

4 0

2 years ago

In drafting class, Manual is drawing blueprints for a house. The scale is 1/4 inch equals 1 foot. If a bedroom is to be 14 Feet

frozen [14]

Answer:

3.5 inches

Step-by-step explanation:

we know that

The scale drawing is

$\frac{1}{4}\ in:1\ ft$

That means

1/4 inch in the drawing represent 1 foot in the actual

using proportion

Find out the dimension in the drawing corresponding to a 14 feet wide in the actual

$\frac{(1/4)}{1}\ \frac{in}{ft}=\frac{x}{14}\ \frac{in}{ft}\\\\x=14(1/4)\\\\x= 3.5\ in$

3 0

3 years ago

What type of triangle is shown below

dybincka [34]

Is an isosceles triangle

5 0

2 years ago

Read 2 more answers

What is the vertex of the graph of the function f(x) = x2 + 8x - 2?

vlabodo [156]

Answer:

Vertex is (-4, -18)

Step-by-step explanation:

f(x) = $ax^{2} +bx +c$

Let (h, k) be the vertex

An easy way to find h is to use the formula h = -b/2a

In your case where f(x) = $x^{2} +8x - 2$ a = 2 and b = 8

So, h = -8/2(1) = -8/2 = -4

Substitue -4 in for x to find k

k = ( $-4^{2}$ ) + 8(-4) - 2

= (16) - 32 - 2

= 16 - 32 - 2

= -18

Vertex is (-4, -18)

Note: Another way to find the vertex is to complete the square, but this can really be difficult in some cases

5 0

2 years ago

The elevation if New Orleans, Lousiana is 8 feet below sea level. The elevation of Lake Champion, Vermont, is 95 feet above sea

Maurinko [17]

Answer:

87 feet

Step-by-step explanation:

8 feet below sea level would be -8

95 feet above sea level would be +95

so it would be -8+95

-8+95=87

3 0

2 years ago