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3 years ago

5

Use the map shown below to find the distance between cities A and B to the nearest tenth.

2 answers:

Maslowich3 years ago

7 0

Answer:

<h2>The distance is 4.5 units.</h2>

Step-by-step explanation:

We could find the distance with the formula:

$d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1} )^{2} }$

From the graph, we see that points have these coordinates:

$A(0;0)\\B(-2;4)$

Where A is the first point $(x_{1};y_{1} )$ and B is the second point $(x_{2} y_{2})$

Replacing these coordinates, we have:

$d=\sqrt{(-2}-0)^{2} +(4-0)^{2} }$

$d=\sqrt{4+16}$

$d=\sqrt{20} \approx 4.5$

Therefore, the distance is 4.5 units.

WARRIOR [948]3 years ago

5 0

i believe the answer is 4.47, hope this helps

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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

You invested $ 7000 between two accounts paying 3 % and 5 % annual? interest, respectively. If the total interest earned for the

natita [175]

Answer:

In the first account was invested $\$3,000$ at 3%

In the second account was invested $\$4,000$ at 5%

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

First account

$t=1 years\\ P=\$x\\ r=0.03$

substitute in the formula above

$I=x(0.03*1)$

$I=0.03x$

Second account

$t=1 years\\ P=\$(7,000-x)\\ r=0.05$

substitute in the formula above

$I=(7,000-x)(0.05*1)$

$I=350-0.05x$

Remember that

The interest is equal to $\$290$

so

Adds the interest of both accounts

$0.03x+350-0.05x=\$290$

$0.05x-0.03x=350-290$

$0.02x=60$

$x=\$3,000$

therefore

In the first account was invested $\$3,000$ at 3%

In the second account was invested $\$7,000-\$3,000=\$4,000$ at 5%

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3 years ago

Recall that a right triangle is a triangle with one right angle.one angle of the triangle measures 89.99 degrees.can the triangl

Shtirlitz [24]

Yes because you only need a 90 degree to become a right

4 0

3 years ago

6. Which value of x makes the equation below true?<br> 5x - 3 = 11 A. 1.6 B. 2.8 C. 40<br> D. 70

Harlamova29_29 [7]

Answer:

It's B

Step-by-step explanation:

2 times 5 = 10

0.8 times 5=4

10 + 4 =14

14-3=11

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2 years ago

A polyhedron with 16 edges cannot be a prism. Explain why this must be true

Readme [11.4K]

Answer:

This prism has: 5 Faces. 6 Vertices (corner points) 9 Edges.

Step-by-step explanation:

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