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dimaraw [331]
3 years ago
7

-2(1.7x + 3.1) = 4 find x please

Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0

Answer:

x=-3

Step-by-step explanation:

you first distribute -2 then add 6.2 to both sides of the equation the finnaly divide by -3.4 to both side then you will get x

(-2)1.7x+(-2)3.1`

-3.4x-6.2=4

        +6.2 +6.2

-3.4x=10.2

-3.4x/-3.4= 10.2/-3.4

x=-3

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What is a necessary step for constructing perpendicular lines through a point off the line?
Nostrana [21]

Answer:

Find another point on the perpendicular line.

Step-by-step explanation:

Given an original line "m", and a point off the line "Q", in order to construct a second line "p", meant to be perpendicular to "m" through the point "Q", fundamentally, the only truly necessary step to construct a perpendicular line through is to find another point on the yet-to-be-found perpendicular line.

Most often, this is accomplished by exploiting the fact that "p" is the set of all points that are equidistant from any pair of points that are symmetric about "p".

Since the symmetry must be about "p", and we don't even know where "p" is, one often finds two points on "m" that are equidistant from "Q".

This can be accomplished by adjusting a compass to a fixed radius (larger than the distance from "Q" to "m"), and making an arc that intersects "m" in two places.  Those two places will be equidistant from "Q", and are simultaneously on line "m".  Thus, these two points, "A" & "B" are symmetric about "p".

Since "A" & "B" are symmetric about "p", they are equidistant from "p", and are on "m".  One could try to find the point of intersection between "p" and "m" through construction, but this is unnecessary.  We need only find a second point (besides "Q") that is equidistant from "A" & "B", which will necessarily be a point on "p", to form the line perpendicular to "m".

To do this, fix the compass with any radius, and from "A" make a large arc generally in the direction of "B", and make the same radius arc from "B" in the direction of "A" such that the two arcs intersect at some point that isn't "Q".  This point of intersection we can call point "T", and the line QT is line "p", the line perpendicular to the original line, necessarily containing "Q".

8 0
2 years ago
Problem<br> How many numbers between 111 and 100100100 (inclusive) are divisible by 101010 or 777?
olga2289 [7]

I suspect you meant

"How many numbers between 1 and 100 (inclusive) are divisible by 10 or 7?"

• Count the multiples of 10:

⌊100/10⌋ = ⌊10⌋ = 10

• Count the multiples of 7:

⌊100/7⌋ ≈ ⌊14.2857⌋ = 14

• Count the multiples of the LCM of 7 and 10. These numbers are coprime, so LCM(7, 10) = 7•10 = 70, and

⌊100/70⌋ ≈ ⌊1.42857⌋ = 1

(where ⌊<em>x</em>⌋ denotes the "floor" of <em>x</em>, meaning the largest integer that is smaller than <em>x</em>)

Then using the inclusion/exclusion principle, there are

10 + 14 - 1 = 23

numbers in the range 1-100 that are divisible by 10 or 7. In other words, add up the multiples of both 10 and 7, then subtract the common multiples, which are multiples of the LCM.

6 0
3 years ago
Can someone help me with my latest question
Artyom0805 [142]

Answer:

yea

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Suppose that c varies jointly with d and the square of g, and c = 30 when d = 15 and g = 2.
maksim [4K]

Answer:

d = \dfrac{3}{16}

Step-by-step explanation:

c varies jointly with d and the square of g

c\propto dg^2

c=kdg^2

where, k is constant of proportionality.

Put the given value c = 30 when d = 15 and g = 2 and find out k

30=k\cdot 15\cdot 2^2

k=\dfrac{1}{2}

c=\dfrac{1}{2}kg^2

If c = 6 and g = 8 then d = ?

6=\dfrac{1}{2}\cdot d\cdot 8^2

d=\dfrac{6\cdot 2}{8^2}

d=\dfrac{3}{16}

Hence, The value of d is \dfrac{3}{16}

5 0
3 years ago
The radius of the circle below intersects the unit circle at (Three-fifths, four-fifths). What is the approximate value of Theta
Fudgin [204]

The measured value of Theta is  53.1 degrees.

Given

The radius of the circle below intersects the unit circle at (3/5, 4/5).

<h3>What is tan theta?</h3>

The measure of the tan angle is defined as the ratio of perpendicular by the base.

The measure of the tan theta is;

\rm Tan\theta=\dfrac{x}{y}

Where the value of x is 3/5 and y is 4/5.

Substitute all the values in the formula

\rm Tan\theta=\dfrac{x}{y}\\\\\rm Tan\theta=\dfrac{\dfrac{4}{5}}{\dfrac{3}{5}}\\\\\\Tan\theta = \dfrac{4}{5} \times \dfrac{5}{3}\\\\Tan \theta=\dfrac{4}{3}\\\\\theta=tan{-1}(\dfrac{4}{3})\\\\\theta=53. 1 \ degrees\\\\

Hence, the measured value of Theta is  53.1 degrees.

To know more about Trigonometric ratios click the link given below.

brainly.com/question/22698523

3 0
2 years ago
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