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3 years ago

Slope is - 4 and the line passes through the point (1,3 )

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

3 0

Y = -4x + 7
This is the equation of the line. The slope is -4. The Y- intercept is 7

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In a division problem, the _ _ _ _ _ _ _ is the number that "goes into" the dividend.

Andru [333]

Answer:

Divisor

Step-by-step explanation:

Because the dividend is what you want to get divided by the divisor

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3 years ago

Read 2 more answers

(b) factorise <br>(3m-1)(6-a)-(m+3)(6-a)

Step2247 [10]

Answer:

Step-by-step explanation:

(3m-1)(6-a)-(m+3)(6-a)

=3m(6-a)-1(6-a)-m(6-a)+3(6-a)

=18m-3ma-6+a-6m+ma+18-3a

=12m-2ma+12-2a

=2(6m-ma+6-a)

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3 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

6 0

3 years ago

Round 12.335 to the place named.<br> hundreds <br> The rounded number is

mafiozo [28]

Answer: 12.3

Step-by-step explanation: It's 12.3 because the other 3 is in the hundredths place and the rule says 5 or more round,4 or less stays the same

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3 years ago

The vending machine has sodas in a ratio of 3 Pepsi to 4 coke. If there are 24 Pepsis in the machine, how many total sodas are t

Natasha2012 [34]

Step-by-step explanation:

let the ration be c

3x and 4x

Now

3x +4x=24

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3 years ago

Slope is - 4 and the line passes through the point (1,3 )​

Slope is - 4 and the line passes through the point (1,3 )