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3 years ago

Table of values 3x+2y=24

1 answer:

4 0

3
x
+
2
y
>
24
3
x
+
2
y
>
24
Solve for
y
y
.
Tap for more steps...
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
−
3
2
-
3
2
Y-Intercept:
12
12
Graph a dashed line, then shade the area above the boundary line since
y
y
is greater than
−
3
x
2
+
12
-
3
x
2
+
12
.
y
>
−
3
x
2
+
12
y
>
-
3
x
2
+
12

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write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-inter

omeli [17]

Answer:

5y = -2x + 31

Step-by-step explanation:

Given equation:

y = $\frac{5}{2} x + 3$

Coordinate = (-7,9)

Unknown:

Equation of the line perpendicular = ?

Solution:

The slope - intercept format of a line is given as;

y = mx + c

where y and x are the coordinates

m is the slope

c is the y-intercept

y = $\frac{5}{2} x + 3$

From the given equation; slope is $\frac{5}{2}$

A line perpendicular will have a slope that is negative and the inverse of this;

slope of perpendicular line = $-\frac{2}{5}$

Since y= 9 and x = -7;

So;

9 = $\frac{-2}{5} x (-7)$ + C

9 = $\frac{14}{5}$ + C

C = 9 - $\frac{14}{5}$ = $\frac{31}{5}$

Now,

y = $-\frac{2}{5}$ x + $\frac{31}{5}$

mulitply through by 5;

5y = -2x + 31

3 0

4 years ago

What is the area of this tile? 4 in. and 1 in.

Vlada [557]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

3 years ago a father was 4 times as old as his daughter is now. The product of their present ages is 430. calculate the present

iren [92.7K]

If the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now, then the present age of father is 43 and the present age of daughter is 10.

Given that the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now.

We are required to find the present age of the father and daughter.

Suppose the present age of the father is x.

Suppose the present age of his daughter is y.

We are given product of present ages be 430.

xy=430----------1

y=430/x

According to question,

x-3=4y

Put the value of y=430/x.

x-3=4*430/x

$x^{2}$ -3x=1720

$x^{2} -3x-1720=0$

x=(3± $\sqrt{3^{2}-4*1*(-1720) }$ )/2*1

x=3± $\sqrt{6889}$ )/2

x=(3±83)/2

x=(3+83)/2

(Ignoring the negative value because the age cannot be negative as it is coming before the greater number)

x=43

y=430/x

y=430/43

y=10

Hence if the product of the present age of father and his daughter is 430 and the age of father was 4 times as old as his daughter is now, then the present age of father is 43 and the present age of daughter is 10.

Learn more about product at brainly.com/question/10873737

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5 0

2 years ago

Will give BRAINLIEST if right!

DiKsa [7]

To convert a number from scientific notation to standard form, consider 1.5625 x 10^4. First, focus on the exponential number, which is 10^4. Multiply the base number, which is 10, by itself the number of times indicated by the exponent, which is four. You would do that like this:

10 x 10 x 10 x 10 = 10, 000

Plug the product -- which is 10,000 -- into the original equation to get this:

1.5625 x 10,000 = 15, 625

Therefore, the standard form of this number is 15,625.

For a number in expanded form, convert the number, using basic addition. For example, consider the expanded number 10,000 + 2000 + 100 + 10 + 9. Add up these numbers to get the standard form. Your equation would look like this:

10,000 + 2,000 + 100 + 10 + 9 = 12,119

Therefore, the standard form of the number is 12,119.

5 0

3 years ago

Read 2 more answers

Identify the pair of alternate exterior angles.

amid [387]

The alternate exterior angles are shown below:

Angle 2 and angle 8
Angle 1 and angle 7

Answer: B

3 0

3 years ago