Find the area of the triangle.

Step-by-step explanation:

the equilibrium constant expressed in terms of partial pressures. Kp index, a measure of the global average geomagnetic potential. Kripke–Platek set theory, a mathematical axiom system.

Answer:

Step-by-step explanation:

|A|= 5, 2, -3, -5

|Ax|= 14, 2, 3, -5,

|Ay|= 5, 14, -3, 3

The determinants are, [tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex], [tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex] and [tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

The given linear system is, 5x + 2y = 14 and - 3x - 5y = 3.

In terms of determinants, it can be written as,

[tex]D = \begin{vmatrix}5 & 2 \\- 3 & - 5\end{vmatrix}[/tex].

[tex]D_x = \begin{vmatrix}14 & 2 \\3 & - 5\end{vmatrix}[/tex].

[tex]D_y = \begin{vmatrix}14 & 5\\3 & - 3\end{vmatrix}[/tex].

[tex]x = \frac{D_x}{D}[/tex] and [tex]y = \frac{D_y}{D}[/tex].

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Answer:

slope is 5, y intercept is -7

Step-by-step explanation:

In the form y=mx+c, m is the slope and c is the y-intercept.

Rearrange the formula to fit this form:

5x-y=7

-y=7-5x

y=5x-7

∴m(slope)=5

∴c(y-intercept)=-7

Step-by-step explanation:

We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.

-2x+7>17

subtract 7 on both sides

-2x>10

divide by -2. remember that dividing by a negative flips the greater than or less than sign.

x<-5

the answer is D

Answer:

$42.12

Step-by-step explanation:

The original price of the shoes was $65.

Everything is 40% off. Therefore, the new price of the shoes now will be the original price minus 40% of 65.

40% of 65 is 0.4(65) or $26. So, $26 was deducted.

This means that the new price will be $65-$26 or $39.

There’s also an 8% sales tax that will be applied. So, Gretta’s total will be the new price of the shoes plus the sales tax being applied to the shoes.

The sales tax is 8% of 0.08. So, when applied to the shoes, it will be: 0.08(39) or $3.12.

Therefore, the total sum Gretta will pay is $39 (the new price) + $3.12 (the sales tax) for a grand total of $42.12

Answer:

Step-by-step explanation:

to get the slope, we use the fotmula y2-y1/x2-x1

so that would be

7-3 over -4-(-2)

7-3=4 and -4-(2)=-2

so the slope is -4/2x, or simply -2x

Answer:

A. d/2 = r

B. r=65 miles/hour

Step-by-step explanation:

A. d/2 = 2r/2

B. Using the formula you found for R it is

130/2= r, therefore r = 65

The formula for r is:

r = d/2.

The rate r when the distance traveled is 130 miles is:

= 64 miles per hour.

Given,

The formula d = 2r can be used to find the distance(d) traveled after 2 hours when driving at rate r.

We need to:

- Solve the formula for r.

- Find the rate(r) when the distance traveled is 130 miles.

Speed = distance / time

We can find the distance as:

distance = speed x time

We have,

d = 2r where d = distance and r = rate.

Here 2 = 2 hours

The formula for r :

d = 2r

Divide both sides by 2.

d/2 = r

r = d/2

r = distance / 2 hours

The rate at a distance of 130 miles is:

d = 130 miles

r = d / 2

r = 130 / 2 = 65 miles / hour

Thus,

The formula for r is d/2.

The rate r when the distance traveled is 130 miles is 64 miles per hour.

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Answer:

the firstn one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

We have the function:

[tex]f(x)=(x-1)(x+4)[/tex]

This is a quadratic in factored form.

The zeros of our function will be the opposites of our factors.

We have the factors (x-1) and (x+4).

Therefore, the zeros of our function must be at x=1 and x=-4.

Also, notice that the coefficient of our x-variable are both positive.

Therefore, the leading coefficient will also be positive.

So, this means that our graph must curve upwards.

Therefore, our graph must be curving upwards while crossing the points x=1 and x=-4.

So, our answer is D.

Answer:

I'm pretty sure it's:

5x5x5x5x5x5x5x5x5 x 2x2

Step 1: We need to first find the equation of the line in slope-intercept form by finding b, or the y-intercept.

[tex]-6 = 3(-5) + b\\\\-6 = -15 + b\\\\9 = b[/tex]

Step 3: We now need to write the equation of the line in slope-intercept form.

[tex]y = 3x + 9[/tex]

Step 3: Now we convert the above equation from slope-intercept form to standard form.

[tex]y = 3x + 9\\\\-3x + y = 9\\\\-3x + y - 9 = 0[/tex]

Our equation in standard form is: B. -3x + y - 9 = 0.

Answer:

B)

Step-by-step explanation:

You need to add the first 2 numbers and the answer needs to be bigger than the third number and if you add 10 + 5 will be 15 and the third number is 17, so the answer of this is the B

Answer:

720 miles

Step-by-step explanation:

A car uses 8.4 liters of petrol for a 112 mile journey.

In 1 litres = [tex]\dfrac{112}{8.4}\ \text{miles}[/tex] of journey

We need to find far should the car be able to travel on a full tank of petrol i.e. 54 litres of petrol.

[tex]54\ l=\dfrac{112}{8.4}\times 54\\\\=720\ \text{miles}[/tex]

So, the car can travel 720 miles when it holds 54 lirres of petrol.

Answer:

     -4 / 3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -4 -0)/( -2 - -5)

     ( -4 -0)/( -2 +5)

     -4 / 3

Answer:

[tex]m=\frac{-4}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Y (-5, 0)

Z (-2, -4)

Step 2: Find slope m

Answer:

0.08 percent

Step-by-step explanation:

Answer:

0.08%

Step-by-step explanation:

i just did 4/50. i know this works because i use it to find my grade percentages.

I think its 2346483

Step-by-step explanation:

Answer:

c.) 30 degrees

Step-by-step explanation:

the sum of the angles of a triangle is 180 degrees

so if the third angle was x

then

x=180-(20+130)

x=180-150

x=30 degrees

The measure of third angle is 30 degree.

The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments.

Given:

Two angles are 20 and 130.

Using Angle sum property of triangle

<1 + <2 + <3 = 180

20+ 130 + <3= 180

150 + <3 = 180

<3 = 180- 150

<3 = 30

Hence, the third angle is 30 degree.

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Answer:x = −112/81

Step-by-step explanation:

Given:

Total savings = $400

Ratio of savings of Blake and Josh = 3:1

To find:

The saving of each.

Solution:

Let the savings of Blake and Josh are 3x and x respectively.

According to the question,

[tex]3x+x=400[/tex]

[tex]4x=400[/tex]

Divide both sides by 4.

[tex]x=100[/tex]

Now,

Savings of Blake = 3(100)=300

Savings of Josh =100

Therefore, the savings of Blake and Josh are $300 and $100 respectively.

Answer:

1.37×10^9 is in scientific notation

Answer:

Doing this would be impossible

Step-by-step explanation:

Doing this would be impossible. This is because the final digit and the first digit in the 6-digit number would always be a 5 or an 8. This means that the entire 6-digit number will either be completely divisible by both 5 and 15 or neither. Therefore not meeting the requirements that have been set. So in conclusion, this would be impossible to do by using only 5's and 8's as the single digits.

Answer:

D

Step-by-step explanation:

the part two shows that 20 tickets were purchased adult and child

adults were 15 dollars and added with the childs10 dollar tickets added togethor to get 225 dollars.

Answer:

(1.5×5) + (2.5×4)

Step-by-step explanation:

if 1.5 + 2.5 is 4.0, and you have $18 and you would see how many times 4 can go into 18 (18÷4) which has four times then you have $2 left so you can get another lip balm so x equals 5 and Y equals 4. I hope this helps! :D

Answer:

y = 3.91 when x =7

Step-by-step explanation:

y = k / x⁴

Where,

k = constant of proportionality

y=15 when x=5

y = k / x⁴

15 = k / 5⁴

Cross product

15 × 5⁴ = k

15 × 625 = k

9,375 = k

What is y when x=7?

y = k / x⁴

= 9,375 / 7⁴

= 9,375 / 2401

= 3.9046230737192

Approximately

y = 3.91

Answer:

10°c

Step-by-step explanation:

-20°c + 30° = 10°c

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9514 1404 393

Answer:

  "missing"

Step-by-step explanation:

The value 133 is missing from the given data set.

Answer:

missing

Step-by-step explanation:

because its not in the data

Answer:

26

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define expression

(-4)(-2) - 6(2 - 5)

Step 2: Evaluate

Answer:

2 x^2 + 6 x + 12 = 0

Step-by-step explanation:

Expand the following:

2 (x^2 + 3 x) + 12 = 0

2 (x^2 + 3 x) = 2 x^2 + 2 (3 x):

2 x^2 + 2 3 x + 12 = 0

2×3 = 6:

Answer: |

| 2 x^2 + 6 x + 12 = 0

Answer:

1140 in.

Step-by-step explanation:

Multiply the length value by 12, so 95*12=1140

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