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svp [43]
3 years ago
11

Solve. 213−12x=−23 Enter your answer in the box.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0

213 -12x = -23\\\\\implies 12x = 213 +23 = 236\\\\\implies x = \dfrac{236}{12}= \dfrac{59}3 = 19.67

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9.973 rounded to the nearest hundredth
DaniilM [7]

The hundredths place is the second digit to the right of the decimal point. In this case, it's 7. When rounding, we want to look at the number in the thousandths place, or 3.

If the number is 0 to 4, you round the hundredths digit down to remain the same. If the thousandths digit is 5 to 9, you round up a number.

In this case, since the number is 3, we just keep 7 the same. So, the answer would be:

9.97

4 0
3 years ago
A canoe rental shop is being built near a river. An equation of the line representing the river is y=14x+8. Each unit in the coo
julsineya [31]

Answer:

412.3 feet

Step-by-step explanation:

A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).

Solution:

The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.

Given a point (x_1,y_1) and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:

d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }

Given the equation of the line y = 1/4 x + 8

y - 1/4 x - 8 = 0

Therefore A = -1/4, B = 1 and C = -8

The point is (-3,3), therefore x_1=-3,y_1=3

d=\frac{|-1/4(-3)+(1*3)+(-8)|}{\sqrt{(-1/4)^2+1^2} }\\\\d=4.123\ unit\\\\but\ 1\ unit=100\ feet\\\\ d=4.123\ unit*1\ feet=412.3\ feet

8 0
3 years ago
Read 2 more answers
Answer this fast and I’ll make you Brainly what are perimeters of the triangles shown are equal
Zigmanuir [339]

Answer:

12x+15,13x+1

Step-by-step explanation:

ABC=4x+8+4x+4x+7=12x+15

PQR=4x+5x+1+4x=13x+1

4 0
3 years ago
Which theorem shows that ABC = DEF?*
netineya [11]

Answer:

<h2><em><u>SAS</u></em><em><u> </u></em><em><u>Congruence</u></em><em><u> </u></em><em><u>Theorem</u></em><em><u> </u></em></h2>

Step-by-step explanation:

In ABC. In DEF

AB. = DE. <em>(</em><em>Given</em><em> </em><em>side</em><em>)</em>

<BAC. = <EDF. <em>(</em><em>Given</em><em> </em><em>side</em><em>)</em>

BC. = EF. <em>(</em><em>Given</em><em> </em><em>side</em><em>)</em>

<em><u>Hence</u></em><em><u>,</u></em>

Triangle ABC is congruent to Triangle DEF by<em><u> </u></em><em><u>SAS</u></em><em><u> </u></em><em><u>Congruence</u></em><em><u> </u></em><em><u>Theorem</u></em><em><u>. </u></em>

3 0
3 years ago
PLEASE HELP :)
Serhud [2]
I'll be back to answer your question.

1 x 10 - <span>400</span> = 2x
380 = 2x
388 / 2 = 2x / 2
388 / 2 = x
194 = x
8 0
3 years ago
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