1. Find the equation of a line passing through the points (1,-2) and (-3,10).​

Answer:

Graph Passing through origin with Gradient ⅓

Step-by-step Solution:

1. Aquire x and y Intercepts by substituting 0 to corresponding value.

When x=0,

[tex]y = \frac{1}{3} (0) \\ y = 0[/tex]

When y=0,

[tex]0 = \frac{1}{3} x \\ x = 0[/tex]

i.e. passing through Origin

do the same for any other 2 points and connect the dots/coordinates and extend the line

Answer:

please the question is not clear

Answer:

Step-by-step explanation:

Use the formulas supplied in the picture attached. There's nothing to really learn here, it is just a plug-and-chug formula:

[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(3x-2x)-cos(3x+2x)][/tex]

[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(x)-cos(5x)][/tex]

Moving on to the second problem:

[tex]cos(a)sin(b)=\frac{1}{2}[ sin(a+b)-sin(a-b)][/tex]

Therefore:

[tex]2cos(a)sin(b)=sin(a+b)-sin(a-b)[/tex]

Where:

[tex]a+b=5x[/tex]

[tex]a-b=3x[/tex]

Solve for 'a' using the second equation to get:

[tex]a=3x+b[/tex]

Plug this into the first equation to get:

[tex]3x+b+b=5x[/tex]

[tex]3x+2b=5x[/tex]

[tex]2b=2x[/tex]

[tex]b=x[/tex]

Therefore:

[tex]a+x=5x[/tex]

[tex]a=4x[/tex]

Finally:

[tex]sin(a+b)-sin(a-b)=2cos(4x)sin(x)[/tex]

Answer:

mode = 6

range = 7

Step-by-step explanation:

To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.

Answer:

b

Step-by-step explanation:

the x has been cubed meaning

X * X *X = x^3

X^3 has been added to 5

C is saying they multiplied three to x therefore being

B

[tex]v = \frac{4}{3} \times \pi \times ({ \frac{8}{2} })^{3} \\ [/tex]

[tex]v = \frac{4}{3} \times 3 \times {4}^{3} \\ [/tex]

[tex]v = {4}^{4} [/tex]

[tex]v = {2}^{8} [/tex]

[tex]v = 256 \: \: {cm}^{3} [/tex]

Answer:

y = 3x - 5

Step-by-step explanation:

To find the equation of the line, you can use y = m x + c.

Here,

m ⇒ slope

c ⇒ y-intercept

Given that,

slope = 3

y-intercept = -5

So, to find the equation of the line you have to simply replace m and c in the formula, (y = m x + c )with the given slope and y-intercept.

Let us solve it now.

y = m x + c

y = 3x - 5

Answer:

y = 3x - 5

Step-by-step explanation:

Slope-intercept form of an equation

Given that m = 3 and b = -5

Answer:

i don't know how much will l loose

Let's break this problem down in a few steps

Since these two fractions are equal to each other, let's solve for x

  [tex]\frac{x}{6}=\frac{5}{6} \\6x=30\\x = 5[/tex]

Thus x = 5

Hope that helps!

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Step 1:  Convert to an expression

x over 6 equals 10 over 12

[tex]\frac{x}{6}=\frac{10}{12}[/tex]

Step 2:  Cross multiply

[tex](x * 12) = (6 * 10)[/tex]

[tex]12x = 60[/tex]

Step 3:  Divide both sides by 12

[tex]\frac{12x}{12} = \frac{60}{12}[/tex]

[tex]x = 5[/tex]

Answer:  [tex]x = 5[/tex]

Answer:

find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?

Answer:

4 = 151.70

5a=75.85

Step-by-step explanation:

Answer:

$469887

Step-by-step explanation:

you should use compound interest formula which is

A=P(1+r/100) ^t

A = 242800 ( 1 + 0.045 ) ^ 15

when you punch this into a calculator you will get 469886.5771.....

when you round it off to a whole number the answer is $469887

Answer:

-8x

Step-by-step explanation:

[tex]-3(x+2)^{2}+4\\-3(2x)^{2}+4\\-12+4\\\ y=-8x[/tex]

I believe it's right two down one

Answer:

$2000 with payments of $320 a month

Step-by-step explanation:

360 x 6 = 2160

2160 + 2400 = 4560

320 x 6 = 1920

1920 + 2000 = 3920

Answer:

dealer A

Step-by-step explanation:

A: 360×6=2160

2400-2160=240

they save $240

B: 320×6=1920

2000-1920=80

they save $80

Answer:

I think 50 yrs old

Step-by-step explanation:

I'm not good at percentages, but if you have 100% hair, and lose 5% every year, 5x10= 50 which can be written as 50%, meaning half of 100%

Answer: 1.406, 5.369

Step-by-step explanation:

edg22

When you use a graphing calculator to construct a 95% confidence interval for μMajor – μMinor = the true difference in the mean healing time will be  1.406, 5.369.

A graphing calculator is known to be a kind of handheld computing device that is used for  plotting of graphs, handling simultaneous equations, etc.

Note that by inputting those numbers such as  Major: 8, 9.5, 10, 12, 11.5 Minor: 6, 7, 5.5, 8, 9, 6, 7, 6 , following the right equation on the graphing calculator, one can be able to construct a 95% confidence interval for μMajor – μMinor = and the the true difference in the mean healing time will be found to be 1.406, 5.369.

Learn more about calculator from

https://brainly.com/question/27370687

#SPJ2

Answer:

When I grow up I want to be

Answer:

A. 1/2

Step-by-step explanation:

For the question, it says what is the experimental probability of rolling a number less than 4, meaning it is asking for the experimental probability of rolling a 1, 2, or 3. Assuming this is a fair 6-sided dice, the probability of rolling any number is 1/6. The probability of rolling a 1, 2, or 3 is also 1/6. Adding all those the probabilities of 1, 2, and 3 together gets 3/6, which simplifies to 1/2.

Therefore, the experimental probability of rolling a number less than 4 is 1/2.

Answer:

871.9 feet,

Step-by-step explanation:

tan 54 = 1200/ x   where x is the distance you have to walk.

x = 1200 / tan54

= 871.85

Answer:

$15.49

Step-by-step explanation:

0.75 x 2 = 1.5

1.50 + 13.99 = 15.49

The clerk is correct; Anna only gave 20 dollars (10x2). 20 - 15.49 = 4.51, which then would be the correct change.  

[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]

[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: K} & \\ & \sf \\ \sf{Q( 0, 0 )\: U( c, d )}\\ \tiny \times = \times \frac{ \times 1 \: + y \: 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} \\ \tiny{ \times = \frac{0 \: + \: c}{2} \: y = \frac{0 \: + \: d}{2} } \\ \tiny{ \times = \frac{c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny \red{the \: coordinates \: of \: point \: K \: are \: ( \frac{c}{2} . \frac{d}{2} )} \end{array}}}\end{gathered} [/tex]

[tex]\begin{gathered}{\boxed{\begin{array}{cccc} \sf{For \: point \: H} \\ \\ \tiny{b),d] D(a,0)} \\ \tiny \times = \frac{ \times 1 \times 2}{2} \: \: y = \frac{y \: 1 + y \: 2}{2} & \\ \tiny{ \times = \frac{a + (c + b)}{2} \: \: y = \frac{0 + d}{2} } &\\ \tiny{ \times = \frac{a + b + c}{2} \: \: \: y = \frac{d}{2} } \\ \tiny\red{ The\: coordinates\: of\: point \:H\: are ( \frac{a + b + c}{2} , \frac{d}{2} ) }\end{array}}}\end{gathered} [/tex]

[tex] \sf \: k( \frac{c}{2} . \frac{d}{2} ) \: \: \: h( \frac{a + b + c}{2} . \frac{d}{2} )[/tex]

[tex] \sf \: d = \sqrt{(x2 - \times 1) {}^{2} + (y2 - y1) {}^{2} } [/tex]

[tex] \sf \: kh = \sqrt{ \frac{[a \: + \: b \: + \: c}{2} - \frac{c}{2} {}^{2} + ( \frac{d}{2} - \frac{d}{2}) ^{2} } [/tex]

[tex] \sf \: kh = \sqrt{ (\frac{a + b}{2}) {}^{2} + (0) {}^{2} } [/tex]

[tex] \sf \: kh = \sqrt{( \frac{a + b}{2}) {}^{2} } [/tex]

[tex] \sf \: kh = \frac{a + b}{2} [/tex]

[tex] \sf\red{the \: length \: of \: the \: middle \: kh \: is \: \frac{a \: + \: b}{2} units}[/tex]

Answer:

20-x

Step-by-step explanation:

you need the value of x to answer

Answer:

63.14

Step-by-step explanation:

in order to get unit rate you take the distance 221miles divide by time which is 3.5 hr you get 63.14 after you have rounded .when you take 356miles divide by 6hrs you get 56.33 so the vehicle is the truck i think so

sorry to say this but kinda not that sure apologies if am wrong

Answer:

its A

Step-by-step explanation:

ur welcome

have a government

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Step-by-step explanation:

yan napo lahat answer

8 times

I hope this helps you

:)

Answer:

2×5÷4=2.5

Step-by-step explanation:

2 boxes × 5 cards ÷ white cards