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valentinak56 [21]
3 years ago
12

7) Find the distance between the points B(-2, 14) and C(3, 8) to the nearest tenth.

Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{-2}~,~\stackrel{y_1}{14})\qquad C(\stackrel{x_2}{3}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ BC=\sqrt{[3-(-2)]^2+[8-14]^2}\implies BC=\sqrt{(3+2)^2+(8-14)^2} \\\\\\ BC=\sqrt{25+36}\implies BC=\sqrt{61}\implies \stackrel{\textit{rounded up}}{BC=7.8}

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What is the solution set of the following equation? 6x^2 = 13x + 5
fiasKO [112]

Answer:

2nd

Step-by-step explanation:

using the quadric formula

- ( - 13) +  -  \sqrt{( - 3) {}^{2} - 4 \times 6( - 5) }   \div 2 \times 6

do the math and you get the second one.

{-1/3,5/2}

6 0
4 years ago
Krista's mom has told her she needs to make the pen ½ the size that she had planned (5 feet long by 4 ½ feet wide). What will th
saw5 [17]

Answer:

1. area of new pen = 11 \frac{1}{4} ft^{2}

2. i. 5 feet by 2\frac{1}{4} feet

ii. 2 ½ feet by 4 ½ feet

Step-by-step explanation:

The size of the pen as planned = 5 ft long by 4 ½ ft wide

Area of the pen = length x width

                           = 5 x 4 ½

                           = 5 x \frac{9}{2}

Area of the pen = \frac{45}{2}

                           = 22 ½ ft^{2}

But, Krista has to make the pen ½ the size of planned. So that;

area of new pen = ½ x 22 ½

        = ½ x \frac{45}{2}

        = \frac{45}{4}

        = 11 \frac{1}{4}

area of new pen = 11 \frac{1}{4} ft^{2}

The area of the new pen would be 11 \frac{1}{4} ft^{2}.

The possible values she could use are:

i. 5 feet by 2\frac{1}{4} feet

ii. 2 ½ feet by 4 ½ feet

6 0
3 years ago
I have to determine the length please show me the steps
iogann1982 [59]

Answer:

c = 11.03 m

Step-by-step explanation:

In this given <em>right isoceles triangle</em>, one of the sides are labeled as 7.8 m. We'll label this side as "a."  

The length of side "a" is congruent to the other side. Therefore, the measurement of the other side is also 7.8 m.

We can use the Pythagorean Theorem to solve for the measurement of the hypotenuse, side "c."

According to the Pythagorean Theorem: c^{2} =  a^{2} + a^{2}.

We'll plug in the values for side "a" and side "b" into the formula:

c^{2} =  a^{2} + a^{2}

c^{2} =  2a^{2}

c^{2} =  2(7.8 m)^{2}

c^{2} =  121.68 m^{2}

To calculate the value of "c," we must take the squared root of 2a^{2}:

\sqrt{c^{2}}  = \sqrt{121.68}

c = 11.03087 m or 11.03 m

By the way, the value of c = <em>a </em>\sqrt{2}

8 0
3 years ago
laptop has a listed price of $879.95 before tax. If the sales tax rate is 8.5%, find the total cost of the laptop with sales tax
Black_prince [1.1K]

Answer:

It would be $954.75

Step-by-step explanation:

8 0
3 years ago
A law firm charges $175 per hour for the first 3 hours plus a $300 origination fee for its services.
shtirl [24]
<h2>what do we answer? it doesn't have a question just an explenation of a question ( the question could be how much would the law firm charge for 4 hours) please update your question</h2>
5 0
3 years ago
Read 2 more answers
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