All categories

2 years ago

four times a number minus twice another number is -16 the sum of the two numbers is -1 find the numbers

Mathematics

1 answer:

lianna [129]2 years ago

6 0

Answer: The numbers are -3 and 2

Step-by-step explanation: Let x be the first number and y be the second number

then according to given statements the linear equations will be:

"Four times a number minus twice another number is -16"

"The sum of the two numbers is -1"

From equation 2:

Putting y = -x-1 in equation 1

Subtracting 2 from both sides

Dividing both sides by 6

Putting x = -3 in equation 2:

Hence,

The numbers are -3 and 2

You might be interested in

Slope=-3 goes through (1,2) whats the equation

dedylja [7]

Hi student, let me help you out! :)

..............................................................................................................................................

We are asked to find the equation of the line, using the given information:

$\star~\mathrm{-3}$ , which is the slope

$\star~\mathrm{(1,2)}$ which is a point that the line contains

$\triangle~\fbox{\bf{KEY:}}$

The slope is the number before x, in the form $\mathtt{y=mx+b}$ .

Since "m" is the slope, and we're given what the slope is, we can substitute -3 for m:

$\dag~\mathtt{y=-3x+b}$

|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||

Now, we need to find the y intercept, "b", of the line.

Here's how it's done:

Remember the point that the line contains, (1,2)?

Well, its y-coordinate is 2; so what we do is substitute 2 for y:

$\dag~\mathtt{2=-3x+b}$

Also, its x-coordinate is 1, so we substitute 1 for x:

$\dag~\mathtt{2=-3(1)+b}$

Now, solve for b:

$\dag~\mathtt{2=-3+b}$

Add 3 to both sides:

$\dag~\mathtt{2+3=b}$

Thus, we have

$\dag~\mathtt{5=b}$

Thus, the equation of the line is:

$\bigstar\underline{\boxed{\mathtt{y=-3x+5}}}$

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

$\overline{\underline{~~~~~~~~~~~~~~~~~~~~~~~~~~}}$

3 0

2 years ago

Find the distance between each pair of points

dolphi86 [110]

Answer: the correct answer is 20

Step-by-step explanation:

The formula for determining the distance between two points on a straight line is expressed as

Distance = √(x2 - x1)² + (y2 - y1)²

Where

x2 represents final value of x on the horizontal axis

x1 represents initial value of x on the horizontal axis.

y2 represents final value of y on the vertical axis.

y1 represents initial value of y on the vertical axis.

From the graph given,

x2 = - 7

x1 = 5

y2 = - 7

y1 = 9

Therefore,

Distance = √(- 7 - 5)² + (- 7 - 9)²

Distance = √(- 12²) + (- 16)²

= √(144 + 256) = √400

Distance = 20

5 0

3 years ago

Fernando factored 45y^6 as (9y^3)(5y^3).

marishachu [46]

Answer:

They both factored it correctly

Step-by-step explanation:

To find the one that was factored correctly, we expand the two of them and compare with $45y^6$ .

Fernando

$(9y^3)(5y^3)$

= $9 * 5 * y^3 * y^3$

= $45y^6$

Salma

$(3y)(15y^5)$

= $3 * 15 * y * y^5$

= $45y^6$

As we can see, they both factored it correctly.

4 0

2 years ago

A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(2, f(2)) and Q(x, f

Anika [276]

The answer is the expression point giving at the right angle of the answe

6 0

3 years ago

Can someone pls help me with this?

bija089 [108]

Communicative Property: (5+7) +3

Associative prop: (3+5) +7 or (3+7) +5

And the last one, I don’t fully understand what it is asking, but I believe it is asking for the answer which would be 15

7 0

3 years ago