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ruslelena [56]
3 years ago
11

I need help with 4,5 and 6

Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0
The answer for #4 is C. 21x-82
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What is the initial value in the function 2x + 3y = 6?
maw [93]
<h2>Explanation:</h2><h2></h2>

The initial value of this function is the y-intercept. We know that the slope-intercept form of the equation of a line is given by:

y=mx+b \\ \\ \\ Where: \\ \\ \\ m:slope \\ \\ b:y-intercept

Writing our equation in slope intercept form:

2x + 3y = 6 \\ \\ \\ \text{Subtract 2x from both sides}: \\ \\ 2x -2x+ 3y = 6-2x \\ \\ 3y=6-2x \\ \\ \\ \text{Divide both sides by 3}: \\ \\ y=\frac{6-2x}{3} \\ \\ y=-\frac{2x}{3}+2

So the initial value is:

b=3

5 0
3 years ago
Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right
juin [17]

Answer:

RT = 12 units

Step-by-step explanation:

From the figure attached,

ΔSRQ is right triangle.

m∠R = 90°

An altitude has been constructed from point T to side SQ.

m∠RTQ = 90°

By applying geometric mean theorem in triangle SRQ,

\frac{\text{RT}}{\text{ST}}=\frac{\text{TQ}}{\text{RT}}

\frac{x}{9}=\frac{16}{x}

x² = 16 × 9

x² = 144

x = √144

x = 12

Therefore, length of altitude RT is 12 units.

5 0
3 years ago
Y=-2x graphed. had to put more words to put this out
timurjin [86]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))


slope=\frac{rise}{run}

Rise is the number of units you go up(+) or down(-)

Run is the number of units you go to the right


y = -2x

This has a y-intercept of 0, so the line intersects the y-axis/goes through the origin at (0,0)

The slope is -2 or \frac{-2}{1}, so from each point, you go down 2 units, and to the right 1 unit.

5 0
3 years ago
7 times as much as the sum of 1/3 and 4/5
Zanzabum
Well first we want to divide 1 by 3 , which is 0.3  ,  Now we need to divide 4 by 5 which is 0.8 . 

We have our answers but 7 needs to be added by their sum so lets put them together by adding them : 0.3 + 0.8 = 1.1.

Now lets add 7 and 1.1 all together , which is 8.1.

_________________________________________________

I hope this helps you a lot :)

8 0
3 years ago
Read 2 more answers
What is 8.7x10 (exponent 2 on the ten) in standard form
belka [17]
10 to the exponent 2 is equal to 100, so 8.7 x 100 is equal to 870
4 0
4 years ago
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