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Vitek1552 [10]
3 years ago
7

What is the first step to solve for x in the equation

Mathematics
1 answer:
Llana [10]3 years ago
5 0
B subtract 18 from both sides
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Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from
Lapatulllka [165]
<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units</h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and      y_3=8

The area of a triangle is= \frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]

=|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|

=|-54| = 54 square units

The length of AC = \sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}

                          = \sqrt{(2-12)^{2} +(1-8)^2}

                         =\sqrt{149} units

Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

Therefore the perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units

5 0
3 years ago
What is the equation graph below?
GaryK [48]

Answer: y =7/4x

Step-by-step explanation:

The y-intercept is 0. To find the slope, do the change in y over the change in x. At the point on the graph, there is a slope of 14/8 = 7/4

6 0
3 years ago
PLEASE PLEASEE ANSWER THE QUESTION IN THE PICTURE BELOW
KatRina [158]

Answer: Choice C

Vertex = (5, -2)

===============================================

Explanation:

Vertex form is y = a(x-h)^2 + k where the vertex itself is located at (h,k)

As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.

In the case of choice C, we have y=  \frac{1}{2}(x-5)^2 - 2 which is the same as y = \frac{1}{2}(x-5)^2 + (-2) and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)

8 0
2 years ago
Helppp pleaseeeeeeeeeeeeeeeeeeeeeee
Ugo [173]

y=4x

because

\frac{12}{3} =\frac{16}{4} =\frac{20}{5} =\frac{24}{6} =\frac{28}{7} =4

7 0
3 years ago
Domain and Range<br><br>Find the Domain and Range for each graph​
sesenic [268]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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