Find the slope on the line

Use the fact that -1 ≤ sin(x) ≤ 1.

Then

20 ≥ -20 sin(x) ≥ -20 … … … (multiply each side by -20)

-20 ≤ -20 sin(x) ≤ 20 … … … (swap the endpoints)

10x - 20 ≤ 10x - 20 sin(x) ≤ 10x + 20 … … … (add 10x to each side)

and over the interval [7, 8], we have

7 ≤ x ≤ 8

70 ≤ 10x ≤ 80 … … … (multiply each side by 10)

so that the whole integrand is bounded by

70 - 20 ≤ 10x - 20 sin(x) ≤ 80 + 20

50 ≤ 10x - 20 sin(x) ≤ 100

Take m = 50 and M = 100. It follows that

[tex]50(8-7) \le \displaystyle \int_7^8 (10x-20\sin(x)) \, dx \le 100(8-7)[/tex]

which places the value of the integral between 50 and 100.

Answer:

(8+2) + (8+2) + (8+2) + (8+2) + (8+2)

Step-by-step explanation:

The distributive property of multiplication allows you to show multiplication as addition.

Answer:

y = 2

Step-by-step explanation:

Hi there!

[tex]2y=7(y-2)+4[/tex]

[tex]2y=7y-14+4\\2y=7y-10\\0=5y-10\\5y=10\\y=2[/tex]

I hope this helps!

Step-by-step explanation:

2y = 7(y-2) + 4

→ 2y = 7y - 14 + 4

→ 2y = 7y - 10

→ 2y - 7y = -10

→ - 5y = -10

Therefore, y = 10:5 = 10/5 = 2 Ans.

Answer: I think its d

Step-by-step explanation:

Answer:

¿Cómo y por qué? El área de un rectángulo se represa mediante la relación:

Área = largo · ancho

En este caso conocemos:

3/4 hm de largo: l = 3/4

1/2 hm de hm: a = 1/2

La unidad hm, son los hectómetros. Un hectómetro equivale a 100 metros.

Calculamos el área:

A = (3/4 · 1/2) hm²

The area of rectangular piece of land that measures 3/4 m long and 1/2 m wide is 3/8 square meters

The area of rectangle is -

A = L x B

Given is a rectangular piece of land that measures 3/4 m long and 1/2 m wide.

We can calculate the area using the formula -

Area = Length x Width

A = 3/4 x 1/2

A = 3/8 square meters

Hence, the area of rectangular piece of land that measures 3/4 m long and 1/2 m wide is 3/8 square meters

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[Question in English for clear understanding -

My uncle bought a rectangular piece of land that measures 3/4 m long and 1/2 m wide. What is its area? ]

Step-by-step explanation:

option A angle F is correct ans.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Let's solve for x.

2x+3y=4

Step 1: Add -3y to both sides.

2x+3y+−3y=4+−3y

2x=−3y+4

Step 2: Divide both sides by 2.

2x/2

=−3y+4/2

x=−3/2y+2

Answer:

x=−3/2y+2

Answer:

30

Step-by-step explanation:

i just searched it up

Answer:

30

Step-by-step explanation:

Step-by-step explanation:

1). 6, 9, 10

6²+9² =

36+81 = 117

10² = 100

6²+9² > 10²

the acute triangle

2). 2, 12, 13

2²+12² =

4+144 = 148

13² = 169

2²+12² < 13²

the obtuse triangle

3). 9, 12, 19

9²+12²=

81+ 144 = 225

19² = 361

9²+12² < 19²

the obtuse triangle

4). 21, 28, 35

21²+28² =

441 + 784 = 1,225

35² = 1,225

21²+28² = 35²

the right triangle

_________

[tex]\:[/tex]

Answer in the picture.

Answer:

6 miles per hour

does this help??

Step-by-step explanation:

Average speed = distance/time = 30/5 = 6 miles/hour

Answer:

410 i think

Step-by-step explanation:

Answer:

820

Step-by-step explanation:

82 ten times would just put a zero next to 82 then it would make it 820 And sorry for being 6 months late.

Answer:

135 cups of grape juice

Step-by-step explanation:

Answer:

15 cups of grapefruit juice

plz mark brainllest if right

Answer:

bad question sadly she would technechly have 6500 after half a month bc you only apply interest after the minth but im guessing she wants us to half it to make it for half the month so 6500*0.03= $195 in half the month

and half a year would be 6500*.06*6= $2340 after half a year

Answer:

D

Step-by-step explanation:

to calculate speed ( or v for velocity ) divide the space traveled by the time it took to travel that distance.

v = S/t = 5000m/35min = 143 m/min

Answer:

x=12

Step-by-step explanation:

<1 and <2 are equal since they are alternate exterior angles for parallel lines

9x+6 = 2(5x-3)

distribute

9x+6 = 10x-6

Subtract 9x from each side

9x+6-9x= 10x-6-9x

6 = x-6

Add 6 from each side

6+6 =x-6+6

12=x

Answer:

See below for answer.

Step-by-step explanation:

m∠1 = m ∠2        If lines are parallel, then alternating exterior angles are =

Therefore

a ║ b                            Given in the figure

m∠1 = m ∠2

 9x + 6 = 2(5x - 3)

  9x + 6 = 10x - 6          Distributive

  9x + 12 = 10x              Addition

          12 =  x                Subtraction

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The slope of the given line is Undefined because it is parallel to y - axis ~

Answer:

zero

Step-by-step explanation:

= 8

step-by-step explanation:

evaluate

-8c⁴ d +4c² d² + 16c - 2d

when c =-1 ,d=4

=8

#carry on learning

Sorry if I am incorrect.....

Answer:

x³+y³+z³=k

Explanation:

I talk, he talk, why you middle talk? You rotate the ground 4 times. You go and understand the tree.  I'll give you clap on your cheeks. Bring your parents and your mother and especially your father.  Close the window airforce is coming. I have two daughters and both are girls. Stand in a straight circle. Don't stand in front of my back

1. The order of the angles from smallest to greatest is PQR, QRP, PRQ.

2. The value of x + y is (2x + 179)/7.

3. Triangle GHK is isosceles because angles H and K are congruent.

4. The hypotenuse is always the longest side of a right triangle.

1. To determine the order of the angles in the given triangle, we can use the fact that the largest angle will be opposite the longest side. Let's compare the lengths of the sides:

- PQ = 5.6

- PR = 6.1

- QR = 5.2

From the given lengths, we can see that PR is the longest side. Therefore, angle PRQ will be the largest angle. Now we need to compare the remaining two angles, PQR and QRP. Since QR is the shortest side, angle PQR will be the smallest angle. This means that the order of the angles from smallest to greatest is: PQR, QRP, PRQ.

2. In a triangle, the sum of the interior angles is always 180 degrees. Given the angles in terms of y and x, we can set up an equation:

(4y - 8) + (3y + 9) + 5x = 180

Combining like terms:

7y + 5x + 1 = 180

To find the value of x + y, we need to solve for y in terms of x first. Let's isolate y:

7y = 180 - 5x - 1

7y = 179 - 5x

y = (179 - 5x)/7

Now, we can substitute this expression for y into the equation x + y:

x + y = x + (179 - 5x)/7

To simplify further, we can distribute the division:

x + y = (7x + 179 - 5x)/7

x + y = (2x + 179)/7

Therefore, the value of x + y is (2x + 179)/7.

3. To prove that triangle GHK is isosceles, we need to show that two of its sides are congruent. Given that angle H is 56 degrees, and angles IKJ and H are alternate interior angles, we know that angle IKJ is also 56 degrees. Since angle IKJ is 68 degrees, this implies that angle KJI is 112 degrees (180 - 68 = 112).

Now, considering triangle GHK, we have:

- Angle G = 180 - (angle H + angle K) = 180 - (56 + 112) = 180 - 168 = 12 degrees

Since angle G is 12 degrees, and angles G and H are alternate interior angles, we know that angle H is also 12 degrees.

Therefore, we have two angles in triangle GHK that are congruent, namely angle H and angle K, making it an isosceles triangle.

4. Proof that the hypotenuse is always the longest side of a right triangle:

Let's consider a right triangle with sides a, b, and c, where c is the hypotenuse.

According to the Pythagorean theorem, which is a fundamental property of right triangles, we have:

[tex]c^2 = a^2 + b^2[/tex]

To compare the lengths of a, b, and c, let's square all the sides:

[tex]a^2, b^2, and c^2[/tex] are all positive since they are the squares of real numbers.

Now, if we examine the inequality [tex]a^2 + b^2 < c^2[/tex], we can see that the sum of the squares of the shorter sides is less than the square of the hypotenuse.

Since [tex]c^2 = a^2 + b^2[/tex], the inequality becomes [tex]a^2 + b^2 < a^2 + b^2[/tex], which is not possible.

Therefore, we can conclude that in a right triangle, the hypotenuse (side c) is always the longest side.

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Answer:

y=-6x+5

Step-by-step explanation:

Answer: 6

Step-by-step explanation:if you add -5 1/3 plus (-2/3) that equals to -6 and if you are adding you gotta add a positive 6 to the negative 6 and that makes 0

[tex] - 5 \frac{1}{3} + ( - \frac{ 2}{3} ) + ? = 0[/tex]

The missing term

Taking the missing term as "x"

[tex] - 5 \frac{1}{3} + ( - \frac{ 2}{3} ) + ? = 0 \\ \\ \implies - \frac{ 16}{3} - \frac{2}{3} + x = 0 \\ \\ \implies \frac{ - 16 - 2}{3} + x = 0 \\ \\ \implies \frac{ - 18}{3} + x = 0 \\ \\ \implies \cancel \frac{ - 18}{3} + x = 0 \\ \\ \implies - 6 + x = 0 \\ \\ \implies x = 0 + 6 \\ \\ \implies x = \red6[/tex]

[tex] \therefore \tt{The \: \: missing \: \: term= 6}[/tex]

Answer:

x = -5

Step-by-step explanation:

Answer:

he jogs 1mile and 1 of 12 of a mile

The coworkers meet each day after the official work hours, then they are an example of an informal group. An informal group is a group made up of people to discuss non-official matters.

The two major types of groups relating to official function are formal and informal. Formal groups are groups formed by the management for a specific or official purpose. This type of groups discuss official matters and issues, and probably are dissolved after achieving the purpose of forming the group.

Informal groups are groups formed by a set of workers( which may sometimes include an external person) formed to discuss non-official maters. The members meet at the non-official hours to deliberate, gist or discuss personal and other relating issues.

Therefore, the four coworkers mentioned in the given question are an example of an informal group.

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Answer:

y = -2/3x - 13

Step-by-step explanation:

The slope remains the same, but the y-intercept changes to -13

Answer:

y=5

Step-by-step explanation:

The x has different values while the y will remain 5 for each value.