y=7x +9
2x-3y=-8
Is it a solution?
(x, y)
Yes
No
(-3, -12)
(-1, 2)
(5,6)
(2,0)

Answer:

x= 50

Step-by-step explanation:

area of a triangle is 180

the sides are the same so the bottom 2 angles are the same as well

180 - 80 = 100

100/2 = 50

Answer:

Remember what a right triangle is. A right triangle is a triangle that has one right (90 degree) angle.

Recall the Pythagorean Theorem. The Pythagorean Theorem tells us that for any right triangle with sides of length a and b, and hypotenuse of length c, a2 + b2 ...

Look at your triangle, and label the sides "a," "b," and "c". Remember that the longest side of the triangle is called the hypotenuse.

Step-by-step explanation:

Answer:

c. 84 is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first marble has a probability of  2/5

the second marble has a probability of 1/4

P(r=2) = 2/5 * 1/4 = 2/20 = 1/10

Answer:

2/5, 1/4

Step-by-step explanation:

The total amount of marbles before drawing a marble is 2+3=5. There are 2 red marbles. Thus, the theoretical probability of drawing a red marble from the bag is 2/5.

If you keep the red marble, there are now 4 total marbles in the bag. There is also only 1 remaining red marble. Thus, the theoretical probability of drawing a red marble is now 1/4.

Answer:

Statement 3

Step-by-step explanation:

∠GAF ≅ ∠TAE

Since, there is no relation between these angles,

Therefore, statement is False.

∠TAE and ∠FAH are complementary.

If the sum of the two angles is 90°, pair of angles is said to be complimentary angles.

Therefore, this statement is False.

∠TAF is obtuse.

Measure of obtuse angle is more than 90°

From the given picture, measure of ∠TAF = m∠TAH + m∠HAF

                                                                      = 90° + 50°

                                                                      = 140°

Here, m∠TAF > 90°

Therefore, ∠TAF is an obtuse angle.

Statement (3) is the correct statement.

Answer:

mean

Step-by-step explanation:

Answer:

The volume is 164cm^3

Step-by-step explanation:

Given

[tex]h = 7[/tex] --- height

[tex]a = 3[/tex] --- base length

[tex]r = 2.6[/tex]

Required

The volume

The volume (V) is calculated as:

[tex]V = \frac{3\sqrt 3}{2}a^2h[/tex]

This gives:

[tex]V = \frac{3\sqrt 3}{2} * 3^2 * 7[/tex]

[tex]V = \frac{3\sqrt 3}{2} * 9 * 7[/tex]

[tex]V = \frac{3\sqrt 3}{2} * 63[/tex]

[tex]V = \frac{3*1.7321}{2} * 63[/tex]

Using a calculator, we have:

[tex]V = 163.68[/tex]

Approximate

[tex]V = 164cm^3[/tex]

Answer:

On Saturdays, Eve earns $14 per hour for yard work and an extra amount for dog walking. Look ... Choose the linear function f Eve can use to determine her pay. ... Each day he is paid a set amount, plus an hourly wage. ... Hours 1 1.5 2 2.5 3 ... Using the trend line y = 8x + 8, for the data shown, complete the residual table.

Step-by-step explanation:

Answer:

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Step-by-step explanation:

Given:

Amount of salt containing in jar = 32 gram

Total amount of salt in jar = 15 kg

Find:

Number of  jars can be filled from 15kg of the salt

Computation:

Total amount of salt in jar = 15 kg

Total amount of salt in jar (in grams) = 15 x 1000 g

Total amount of salt in jar (in grams) = 15,000 g

Number of  jars can be filled from 15kg of the salt = Total amount of salt in jar (in grams) / Amount of salt containing in jar

Number of  jars can be filled from 15kg of the salt = 15,000 / 32

Number of  jars can be filled from 15kg of the salt = 468.75

Number of  jars can be filled from 15kg of the salt = 468 or 469 jars (Approx.)

Answer:

5x^2 + 7x + 30 + 102/x-3

Step-by-step explanation:

     _________________

x-3| 5x^3 - 8x^2 + 9x + 12      

First you would want to set it up as either long polynomial division or using synthetic division. Whichever one is easier for you. However, I am going to use long polynomial division since you might not be familiar with synthetic division just yet.

    _5x^2_____________

x-3|  5x^3 - 8x^2 + 9x + 12        Because 5x^3 divided by x gives you 5x^2

     - (5x^3 - 15x^2)______       and -3 times 5x^2 gives you -15x^2

              0 + 7x^2 +9x               But since the negative is outside the   parentheses then you distribute it turning he -15x^2 it into +15x then adding it to the -8x^2 above it thus giving you 7x^2. Afterwards bring down the 9x.

A negative times a negative is a positive (just as a reminder)

Next,

    _5x^2+7x_________

x-3| 5x^3 - 8x^2 + 9x + 12

   - (5x^3 - 15x^2)______                    7x^2 divided by x gives you 7x

            0 + 7x^2 + 9x

               - (7x^2 - 21x)___                  and 7x times -3 gives you -21x

                       0 + 30x +12                  you distribute the negative in the parentheses again.  

Then,

     _5x^2   +7x  +30____

x-3| 5x^3 - 8x^2 + 9x + 12

   - (5x^3 - 15x^2)______

            0 + 7x^2 + 9x

              - (7x^2 - 21x)___

                       0 + 30x + 12                30x divided by x gives you 30.

                          - (30x - 90)                Distribute the negative again.

                                0  + 102                102 is the remainder.  

When writing remainders in long polynomial equations, it is expressed by writing the remainder over the divisor. Which is 102/x-3.

So the answer is 5x^2 + 7x + 30 + 102/x-3.      

9514 1404 393

Answer:

  (c)  27π cubic centimeters

Step-by-step explanation:

The volume is given by the formula ...

  V = πr²h

Here, the diameter is given as 6 cm, so the radius is 3 cm and the volume is ...

  V = π(3 cm)²(3 cm) = 27π cm³ . . . . . matches the 3rd choice

Answer:

y = ⁷/5x + 34/5

Or

y = 1.4x + 6.8

Step-by-step explanation:

To find the equation of the line in the slope-intercept form, y = mx + b, we have to determine the value of:

Slope (m) = change in y/change in x

y-intercept (b) = the y-coordinate of the point where the y-axis is intercepted by the line

Using the two points indicated in the line, (-7, -3) and (-2, 4),

Slope (m) = (4 - (-3))/(-2 - (-7)) = 7/5

m = ⁷/5

To find b, substitute m = ⁷/5 and (x, y) = (-2, 4) into y = mx + b

4 = ⁷/5(-2) + b

4 = -14/5 + b

4 + 14/5 = b

(20 + 14)/5 = b

34/5 = b

b = 34/5

To write the equation, substitute m = ⁷/5 and b = 34/5 into y = mx + b

y = ⁷/5x + 34/5

Or

y = 1.4x + 6.8

9514 1404 393

Answer:

  10%

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r)^t

Filling in the given values, we have ...

  1331 = 1000(1 +r)^3

  1.331^(1/3) = 1 +r = 1.1 . . . . . divide by 1000, take the cube root

  r = 0.1 = 10% . . . . . . . subtract 1

The effective rate is 10% per year.

Take midpoint of two co ordinate of diameter of circle.

Answer:

(6, -2) and (10, -10)=-4

Step-by-step explanation:

The points given cannot be the vertex and focus.

Invalid Input

Hope this helps!

Answer:

5000cm

Step-by-step explanation:

14 + 16 + 20 = 50m

50m x 100cm/m = 5000cm

Answer:

A quick hack is often to partially express some function in terms of a Taylor approximation about x0, since higher order terms of x go to zero if we are considering limits for (x−x0)→0. To really answer your question we need to know what the original question was, that is, about which point do you want the expansion? Let us assume around 0. Then we have the Maclaurin series:

cos(x)=1−12x2+O(x4)

You can add more terms if you need to. Now we write:

ln(1+(−12x2))=…

Do you know the standard Maclaurin series for this function?

Hint: it is of the form ln(1+u)

Step-by-step explanation:

Alright, whats your question ?

Step-by-step explanation:

(at+4a+10a)(a²)=(a+3)

(at)(14a)(a²+a)=3

at+14a+a³=3

Answer:

area of a circle= πr²

= 3.14×18×18×

=1017.36 in²

Answer: Identity Property

Step-by-step explanation:

The rest have very fake names lol

Answer:

Identity Property

Step-by-step explanation:

Identity Property :

Any number plus zero is the original number.

Answer:

The rules for change of coordinates are:

r = √(x^2 + y^2)

θ = tan(y/x)

and:

x = r*cos(θ)

y = r*sin(θ)

1) Now we have the equation:

r = (9/7)*cos(θ) + 2*sin(θ)

Let's multiply both sides by r:

r^2 = r*(  (9/7)*cos(θ) + 2*sin(θ) )

r^2 = (9/7)*r*cos(θ) + 2*r*sin(θ)

Now we can replace:

r*cos(θ) by x and r*sin(θ) by y

r^2 = (9/7)*x + 2*y

And we know that:

r = √(x^2 + y^2)

then:

r^2 = x^2 + y^2

So we can replace that in our equation:

x^2 + y^2 = (9/7)*x + 2*y

This is the equation in cartesian coordinates.

2) Now we want to describe the curve.

We can rewrite this as:

[x^2  - (9/7)*x] + [ y^2 - 2*y] = 0

Now we can complete squares:

So we need to add and subtract:

(4.5/7)^2 and 1^2

[x^2  - 2*(4.5/7)*x + (4.5/7)^2 -  (4.5/7)^2] + [ y^2 - 2*y + 1 - 1]  = 0

(x - (4.5/7) )^2 + (y - 1)^2   - 1 - (4.5/7) = 0

(x - (4.5/7) )^2 + (y - 1)^2  = 1 + 4.5/7

So this is the equation of a circle, centered at:

( 4.5/7, 1) and with a radius √(1 + 4.5/7)

Answer:

A

Step-by-step explanation:

Options B, C and D are all 3 units away from point B, which means that it can only be A

Answer:

A. (0, 4)

Step-by-step explanation:

Answer:

[tex]236.715\:\mathrm{ft^2}[/tex]

Step-by-step explanation:

The area of the figure consists of a rectangle and two half-circles.

Area of rectangle: [tex]15\cdot 4=60[/tex]

Area of two half-circles: [tex]2\cdot \frac{1}{2}\cdot 7.5^2\cdot \pi=176.714586764[/tex]

Thus, the total area of the figure is

[tex]60+ 176.714586764\approx \boxed{236.715}[/tex]