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2 years ago

3 (x-5)+2 (3x+1)=45

Mathematics

1 answer:

pickupchik [31]2 years ago

8 0

Answer:

x + 3 = 17

Step-by-step explanation:

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Find (y) 2x+0,4y= 9 x=2,3

yarga [219]

Answer:

9y 2x+0,4y=9 4=2,3

Step-by-step explanation:

7 0

3 years ago

Determine whether the three points are collinear.<br> (0, - 10). (-3,- 13), (2,-8)

LUCKY_DIMON [66]

Answer:

<h2>YES. These points are collinear.</h2>

Step-by-step explanation:

If three points are collinear, then the slopes are the same.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

For (0, -10) and (-3, -13):

$m=\dfrac{-13-(-10)}{-3-0}=\dfrac{-13+10}{-3}=\dfrac{-3}{-3}=1$

For (-3, -13) and (2, -8):

$m=\dfrac{-8-(-13)}{2-(-3)}=\dfrac{-8+13}{2+3}=\dfrac{5}{5}=1$

We can check the last pair (0, -10) and (2, -8):

$m=\dfrac{-8-(-10)}{2-0}=\dfrac{-8+10}{2}=\dfrac{2}{2}=1$

5 0

3 years ago

16d - (4 - 5d) = -67 Please help me find d

madreJ [45]

$16d-(4-5d)=-67\\\\16d-4-(-5d)=-67\\\\16d-4+5d=-67\\\\21d-4=-67\ \ \ \ /+4\\\\21d-4+4=-67+4\\\\21d=-63\ \ \ \ /:21\\\\21d:21=-63:21\\\\d=-3$

5 0

3 years ago

Read 2 more answers

Construct an inscribed circle in triangle PQR by finding the incenter of the triangle.

kotegsom [21]

Answer:

Step-by-step explanation:

To inscribe a circle in a given triangle PQR means to construct a circle in the triangle PQR. The incenter of a triangle is the midpoint in the triangle, which can be located by bisecting the three angles of the triangle individually.

The construction is shown in the attachment.

7 0

3 years ago

The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°

GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are: A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) $=\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5$

Length of the side AC (b) $= \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}$

Length of the side AB (c) $= \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}$

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

$cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree$

So, the measure of angle ABC is 45°

7 0

3 years ago

Read 2 more answers

3 (x-5)+2 (3x+1)=45​

3 (x-5)+2 (3x+1)=45