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3 years ago

Graph the linear equation 7x - 3y = -21.

Mathematics

2 answers:

nydimaria [60]3 years ago

8 0

Answer: ok...

Step-by-step explanation:

Arturiano [62]3 years ago

3 0

Answer:-21

Step-by-step explanation:

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How to solve 5x+2y = 39

Julli [10]

X= - 2y/5+ 39/5. hth'

4 0

3 years ago

Plz help me do this homework <img src="https://tex.z-dn.net/?f=6ac%20-%2015ad%20-%208bc%20%2B%202bd" id="TexFormula1" title="

Ahat [919]

The given polynomial is

→ 6 ac - 15 a d- 8 b c + 2 b d

→ 3× 2×a×c - 3×5×a×d - 2×2×2× b×c + 2×b×d

→ 3 a ( 2 c -5 d) - 2 b(4 c -d)

7 0

4 years ago

A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. I

Irina18 [472]

Answer:

31.35%

Step-by-step explanation:

<h3>Initial reading:</h3>

In the box, there are:

6 Black pens
4 blue pens
7 red pens

Total number of pens in the box = 6 + 4 + 7

= 17

If we count pens as outcomes the total number of possible outcomes are 17.

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3>New reading:</h3>

Clarissa takes out a black pen from the box.

That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.

So now:

Number of black pens = 6 - 1 = 5 
Total number of pens = 17 - 1 = 16

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3>Probability:</h3>

$\boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}$

If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.

That makes it,

the number of favorable outcomes = number of black pens

= 5

and total outcomes = Total number of pens

= 16

$\implies\mathsf{probability = \frac{5}{16} }$

For showing it as some percent we'll just multiply the fraction by 100

$\implies \mathsf{ \frac{5}{16} \times 100 }$

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3>As a percent:</h3>

$\implies \mathsf{ \underline{ 31.25 \: \% } }$

4 0

3 years ago

A tent guy line supports one of the upright tent poles. It runs from the top of the pole to a peg in the ground two and a half m

Inessa [10]

Answer:

258 cm

Step-by-step explanation:

Given:

Distance from the base of the pole to the base of a tent guy line is $2\frac{1}{2}$

Length of a tent guy line is 359 cm

To find: Height of the upright tent pole

Solution:

Let AB denotes the pole and AC denotes a tent guy line.

According to Pythagoras theorem, in a right angled triangle, square of hypotenuse is equal to sum of squares of other two sides.

$AC^2=AB^2+BC^2$

$AC=359 cm\\AB=x\\BC=2\frac{1}{2}\,m=\frac{5}{2}\,m=\frac{5}{2}\times 100=250\,cm$

Therefore,

$(359)^2=x^2+(250)^2\\128881=x^2+62500\\128881-62500=x^2\\66381=x^2\\x=257.6\,cm\approx 258\,cm$

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8 0

3 years ago

Determine in which direction the parabola below opens. y=-4x^2+8x+12

Sergio [31]

Down

The formula for a quadratic equation is y = ax^2 + bx + c. In this case, a = -4, b = 8, and c = 12. The direction of the parabola can be determined by a. If a is positive, the parabola opens upwards, and if a is negative, the parabola will open downwards.

3 0

3 years ago