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Alex777 [14]
3 years ago
8

Help will give brainlest!

Mathematics
1 answer:
Verizon [17]3 years ago
3 0

Answer:

1; 4; 3;

Step-by-step explanation:

i think this involves ratios>> if not, sorry-

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2. Draw a graph with the following properties​
wlad13 [49]

Answer:

ur crazy right ?

Step-by-step explanation:

6 0
3 years ago
What is the equation of the line that passes through (-2,3) and is parallel to 2x+3y=6?
Vsevolod [243]

Answer:

<h2>2x + 3y = 5</h2>

Step-by-step explanation:

\bold{METHOD\ 1:}

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

Let k:y=m_1x+b_1,\ l:y=m_2x+b_2

then

l\ \parallel\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}

We have the equation of a line:

2x+3y=6

Convert to the slope-intercept form:

2x+3y=6           <em>subtract 2x from both sides</em>

3y=-2x+6              <em>divide both sides by 3</em>

y=-\dfrac{2}{3}x+2\to m_1=-\dfrac{2}{3}

therefore the slope is m_2=-\dfrac{2}{3}

Put the value of the slope and the coordinates of the point (-2, 3) to the equation of a line:

3=-\dfrac{2}{3}(-2)+b

3=\dfrac{4}{3}+b            <em>subtract 4/3 from both sides</em>

\dfrac{9}{3}-\dfrac{4}{3}=b\to b=\dfrac{5}{3}

Finally:

y=-\dfrac{2}{3}x+\dfrac{5}{3}

Convert to the standard form (Ax + By = C):

y=-\dfrac{2}{3}x+\dfrac{5}{3}              <em>multiply both sides by 3</em>

3y=-2x+5           <em>add 2x to both sides</em>

2x+3y=5

\bold{METHOD\ 2:}

Let k:A_1x+B_1y=C_1,\ l:A_2x+B_2y=C_2.

Lines <em>k</em> and <em>l</em> are parallel iff

A_1=A_2\ \wedge\ B_1=B_2\to\dfrac{A_2}{A_1}=\dfrac{B_2}{B_1}

We have the equation:

2x+3y=6\to A_1=2,\ B_1=3

then the equation of a line parallel to given lines has the equation:

2x+3y=C

Put the coordinates of the point (-2, 3) to the equation:

C=2(-2)+3(3)\\\\C=-4+9\\\\C=5

Finally:

2x+3y=5

4 0
3 years ago
√70 is ________________________ because _________________________ . Choose the best response to fill in the blanks above
snow_tiger [21]

Answer:

\sqrt{70} is<u> Rational</u> because<u> it's a non-perfect square</u>

4 0
3 years ago
At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a dia
Marina86 [1]

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = \frac{Diameter}{2}=\frac{3in}{2}=1.5in

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = \frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}

Number of soda cans are in a pack = \frac{423.9in^3}{42.39in^3}

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

8 0
4 years ago
A square sandbox has an area of 75 square feet. Estimate the length of one of the sides of the sandbox to the nearest tenth.
andrey2020 [161]

Answer: I belive the answer would be 18.8

Step-by-step explanation: 75/4=  18.75 rounded to the nearest tenth would be 18.8

8 0
4 years ago
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