8+3a+7b-5+2a-7b combine like terms means to add the coefficients (numbers) in front of like variables (letters). use the sketch area if needed. combine the like terms and submit your answer. *always combine like terms in alphabetical order and write your constant term last!

Answer:

A. 162 m²

Step-by-step explanation:

==>Given:

Isosceles trapezoid with:

base a = 19m

base b = 35m

Perimeter = 74meters

==>Required:

Area of trapezoid

==>Solution:

Recall: the length of the legs of an isosceles trapezoid are equal.

Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)

Let l = leg of trapezoid.

Perimeter = 74m

Sum of parallel sides = a+b = 19+35 = 54m

Thus,

74 = 54 + 2(l)

74 - 54 = 2(l)

20 = 2(l)

l = 20/2 = 10m

Let's find area:

Area = ½(a+b)*h

a = 19

b = 35

h = ?

Using Pythagorean theorem, let's find h as follows:

h² = l² - [(35-19)/2)²

h² = 10² - [16/2]²

h² = 100 - 64

h² = 36

h = √36 = 6m

Area = ½ x (a+b) × h

= ½ × (19+35) × 6

= ½ × 54 × 6

= 27 × 6

Area = 162m²

Answer:

The slope will be y=-20/8x +17.5

Step-by-step explanation:

I hope this Helped

Answer:

Y= 1/2 x- 1/3

Step-by-step explanation:

See Image below:)

Answer:

(D) \(p^{2} -9p+18\)

Step-by-step Explanation:

Assuming that the equation \(x^{2} -2\) = p, we can convert the equation into this.

\(p^{2} +18=9p\)

We can convert \(9x^{2} -18\) into 9p because \(x^{2} -2\) × 9 = \(9x^{2} -18\)

Now we simplify this equation.

We can subtract 9p from both sides of the equation.

\(p^{2} +18-9p = 0\)

Re-ordering the equation gets us:

\(p^{2} -9p+18\)

So, (D) \(p^{2} -9p+18\) is equivalent to the original expression of \((x^{2} -2)^{2} + 18 = 9x^{2} -18\)

Answer:

100

Step-by-step explanation:

H T U

1 2 2

2 is a num below 5 therefore

2=0

The distance that she runs from one corner of the field to another is given as follows:

147.1 yards.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:

d² = 85² + 120²

d = sqrt(85² + 120²)

d = 147.1 yards.

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Average speed going to work is 50 mph.

Let's assume that the average speed going to work is "x" miles per hour.

Since you can travel to work in the same time it takes for you to make it 28 miles on the trip back home, we can set up an equation using the formula:

time = distance / speed

The time it takes to travel 35 miles to work is:

time to work = 35 / x

The time it takes to travel 28 miles on the return trip is:

time to return = 28 / (x - 10)

We know that both times are equal, so we can set them equal to each other and solve for "x":

\(35 / x = 28 / (x - 10)\)

Multiplying both sides by x(x - 10), we get:

\(35(x - 10) = 28x\)

Expanding the left side and simplifying, we get:

\(35x - 350 = 28x\)

\(7x = 35\)

\(x = 50\)

Therefore, your average speed going to work is 50 miles per hour.

To solve this problem, we used the formula for speed, distance, and time. We t up an equation using the fact that the time it takes to travel to work is equal to the time it takes to travel 28 miles on the return trip. We then solved for the average speed going to work by setting the two times equal to each other and solving for "x". Finally, we found that the average speed going to work is 50 miles per hour.

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Answer:

ill help

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

i just did the quiz, so just trust

Answer:

if your to factor using the rational roots test it would be (x−2)(x^2+8x+15)

but if your factor using the AC method it would be (x−2)(x+3)(x+5)

Answer:

the height is 6 meters

Step-by-step explanation:

v = \(\pi r^{2} h\)

471 = 3.14(25)h

471 = 78.5h  Divide both sides by 78.5

\(\frac{471}{78.5}\) = \(\frac{78.5h}{78.5}\)

6 = h

Helping in the name of Jesus.

The dimensions of this rectangle to the nearest tenth include the following:

Width, W = 2.6 meters.

Length, L = 7.6 meters.

Mathematically, the area of a rectangle can be calculated by using this formula:

A = LW

Where:

From the information provided, we have the following parameters:

Length, L = W + 5

Substituting the given parameters into the formula, we have;

20 = (W + 5) × W

20 = W² + 5W

W² + 5W - 20 = 0

Next, we would solve the quadratic equation by using the quadratic formula:

\(x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-(5)\; \pm \;\sqrt{5^2 - 4(1)(-20)}}{2(1)}\)

Width, W = x = 2.6 meters.

For the length (L), we have:

Length, L = W + 5

Length, L = 2.6 + 5

Length, L = 7.6 meters.

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Based on these observations, option (d) 30 seems to be the most reasonable choice for a longer distance down the fairway.

To determine how far down the fairway the ball hits the ground, we need to consider the horizontal range of the golf ball. The range is the horizontal distance traveled by the ball before it hits the ground.

The range can be calculated using the formula:

Range = (Initial Velocity)² * sin(2 * Launch Angle) / g

Where:

Initial Velocity is the initial velocity of the golf ball (180 ft/sec).

Launch Angle is the angle at which the ball is hit off the tee.

g is the acceleration due to gravity (approximately 32.2 ft/sec²).

Since you haven't provided the launch angle for each club, we cannot determine the exact range for each one. However, we can make some general observations based on the given answer choices:

(a) 15: This option implies a lower launch angle, which would likely result in a shorter range.

(b) 20: Similar to option (a), a lower launch angle would generally result in a shorter range.

(c) 25: This option suggests a moderate launch angle, which could correspond to a reasonable range.

(d) 30: A higher launch angle typically leads to a longer range, so this option may result in a greater distance.

Based on these observations, option (d) 30 seems to be the most reasonable choice for a longer distance down the fairway.

However, without specific launch angles for each club, we cannot determine the exact answer.

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Answer:

t= -105

Step-by-step explanation:

To solve the equation, we want to find out what t is. In order to do this, we have to get t by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-1/15t=7

t is being multiplied by -1/15. The opposite of multiplication is division. Divide both sides by -1/15.

-1/15t/-1/15=7/ -1/15

t=7/ -1/15

Instead of dividing a number by a fraction, you can multiply the number by the reciprocal of the fraction.

To find the reciprocal, flip the numerator (top number) and denominator (bottom number).

-1/15--flip--> -15/1=-15

Substitute -15 in for -1/15, and switch the division sign to a multiplication sign.

t= 7* -15

t=-105

Let's check out solution. Plug -105 back in for t in the original equation.

-1/15t=7

-1/15*-105=7

7=7

Both sides are the same, so we know that t=-105.

Answer:

t=-105

Step-by-step explanation:

\(-\frac{1}{15} t =7\)

What we need to do here is to isolate t.

Let's multiply both sides by -15.

\(-\frac{1}{15}t * -15 = 1t\)

7*-15= -105

t=-105

Answer:

209 yan ang sagot brainliest po

Answer:

Row 10 and in column F

Step-by-step explanation:

rows 1 and 3 are decreasing and we are looking for an increase so we can cross those out immediately.

However we do see a pattern in rows 2 to 4 (add 8) so if we add 8 for 3 more rows than we get 37 but add 8 more and we get 45.

from 37 to 43 is 6 more than 37 so we have 4 columns but if we add 3 more we get the 6 columns also column f.

Hope this helps!

The inverse of p v q →  p ∧ q is ~p v -q →-p ∧ ~q. hence option c is correct

What is mean by Inverse?

Opposite in order, nature or effect is called an Inverse.

Given that;

The statement is;

p → q

Now,

The inverse of p → q is written as;

~p → ~q

Thus, The inverse of p → q is ~p → ~q.

What is inverse in simple words?

something of a contrary nature or quality : opposite, reverse. : a proposition or theorem formed by contradicting both the subject and predicate or both the hypothesis and conclusion of a given proposition or theorem. the inverse of "if A then B" is "if not-A then not-B"

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Answer:

the answer is -25. please mark my answer as brainliest

Step-by-step explanation:

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Missing terms of the geometric sequence = -10, -5, -2.5

For the geometric sequence to the nth term, the formula is

\(t_{n}\) = a \(r^{n-1}\)

Here the sequence is -20, __ , __, __, -1.25...

So we have to find the 2nd, 3rd and 4th terms of the sequence.

We know the 5th term of the series by which we can find out the common ratio.

\(t_{5}\) = -20 \(r^{5-1}\)

-1.25 = -20 \(r^{4}\)

\(r^{4}\) = 1.25/20

   = 1/16

r = 1/2

The common ratio is 1/2

\(t_{2}\) = -20 \((\frac{1}{2})\)

   = -10

\(t_{3}\) = -20 \((\frac{1}{2} )^{2}\)

  = -20 \(\frac{1}{4}\)

  = -5

\(t_{4}\) = -20 \((\frac{1}{2} )^{3}\)

   = -20\(\frac{1}{8}\)

   = -2.5

Therefore the missing terms are -10, -5 and -2.5.

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Answer: 28282

Step-by-step explanation:

I think

The intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

The equation of a sphere with center (h, k, l) and radius r is given by (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2. In this case, the center is (-3, 2, 6) and the radius is 5, so the equation of the sphere is (x + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25.

To find the intersection of the sphere with the yz-plane (x = 0), we substitute x = 0 into the equation of the sphere. This gives (0 + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25, which simplifies to 6^2 + (y - 2)^2 + (z - 6)^2 = 25. This equation represents a circle in the yz-plane centered at (2, 6) with a radius of 5.

Therefore, the intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

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Answer:

\(\sf\:Negative = \boxed{\sf\:\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathbb{Z}}\\\sf\: Positive = \boxed{\sf\:\theta =\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathbb{Z}}\)

Step-by-step explanation:

\(4 - 3 \sec ^ { 2 } \theta = 0\)

Let's solve this.

Isolate sec²θ.

\(4 -3 \sec ^ { 2 } \theta = 0\\- 3 \sec^{2}\theta = -4\\3 \sec^{2}\theta=0\\\sec^{2} \theta=\frac{4}{3}\)

Now, we now that, cos θ is the reciprocal of sec θ. Therefore,

\(\sec^{2}\theta = \frac{4}{3}\\\cos^{2}\theta = \frac{3}{4}\)

Bring the square root on both the sides of the equation to remove the square.

\(\sqrt{\cos^{2}\theta} = \sqrt{\frac{3}{4} }\\\cos^{2}\theta = (+/-) \frac{\sqrt{3} }{2}\)

If,

\(\cos\theta = + \frac{\sqrt{3}}{2}\\= cos \left( \frac{\pi}{6} \right)\\\Longrightarrow \boxed{\sf\:\theta =\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathbb{Z}}\)

Also if,

\(\cos\theta = -\frac{\sqrt{3}}{2}\\= \cos \left(\pi - \frac{\pi}{6}\right)\\= \cos \left({\frac{5\:\pi}{6}\right)\\\Longrightarrow \boxed{\sf\:\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathbb{Z}}\)

\(\rule{150pt}{2pt}\)

Answer:

law of detachment

Step-by-step explanation:

Answer:

Length = 65 m

Width = 23 m

Step-by-step explanation:

Width = w

Length = 3w - 4

Perimeter of rectangle = 176 m

2*(length + width) = 176

2*( 3w - 4 + w ) = 176

2* ( 4w - 4) = 176

2*4w - 2*4 = 176

      8w - 8 = 176    { add 8 to both sides}

           8w = 176 +8

           8w = 184

        8w/8 = 184/8

              w = 23 m

Length = 3w - 4

            = 3*23 - 4

            = 69 - 4

Length = 65 m

The simplified forms of the radical expressions:

In this question we find five cases of addition of radical expressions that must be simplified into a single radical expression, that is, a radical expression of the form a√b. The simplification can be done by using algebra properties. The complete procedure is shown below:

Case 1

- 3√18 + 10√2

- 3 · (√9 × √2) + 10√2

- 3 · 3 · √2 + 10√2

- 9√2 + 10√2

√2

Case 2

- 2∛24 - 5∛3

- 2 · (∛8 × ∛3) - 5∛3

- 2 · 2 · ∛3 - 5∛3

- 4∛3 - 5∛3

- 9∛3

Case 3

5√12 - 2√27

5 · (√3 × √4) - 2 · (√3 × √9)

5 · 2 · √3 - 2 · 3 · √3

10√3 - 6√3

4√3

Case 4

5∛16 + 11∛2

5 · (∛8 × ∛2) + 11∛2

5 · 2 · ∛2 + 11∛2

10∛2 + 11∛2

21∛2

Case 5

3√54 - 21√24

3 · (√6 × √9) - 21 · (√6 × √4)

3 · 3 · √6 - 21 · 2 · √6

9√6 - 42√6

- 31√6

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Answer:

on Saturday the students will reach their goal.

explanation:

i hope this helps you!