Write coordinates of a point whose abscissa is -2 and ordinate is -3.

Answer:

7.5kilometer

Step-by-step explanation:

for 30mins semin runs 5kilometer

then for 1min: (1min×5kilometer)÷30mins,

therefore, for 45mins: (45mins×5kilometer)÷30mins=7.5kilometer

From the given information:

We are being informed that Samin can run for 5 kilometers in 30 minutes;

If Samin can run such a kilometer in 30 minutes;

5 kilometers = 30 minutes

∴

In x kilometers = 45 minutes

By cross multiplying;

(x × 30 minutes) = 5 kilometers × 45 minutes

30x = 225 kilometer/minutes

[tex]x = \dfrac{225 \ kilometer/minutes}{30 minutes}[/tex]

[tex]\mathbf{x = 7.5 \ kilometers}[/tex]

Therefore, we can conclude that the Samin can run 7.5 kilometers in 45 minutes.

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Answer:

7

Step-by-step explanation:

2x^2 - 7x - 4 = 45

2x^2 - 7x - 49 = 0 : subtract 45 from both sides

Quadratic formula:

  x = (7 ± sqrt(7^2 - 4*2*-49) ) / 4

  x = (7 ± sqrt(49 - -392)) / 4

  x = (7 ± sqrt(441)) / 4

  x = (7 ± 21) / 4

  x = (7 + 21) / 4 OR x = (7 - 21) / 4

  x = 28 / 4 OR x = -14 / 4

  x = 7 as it is the only positive answer

Answer:

Half of its original

Step-by-step explanation:

When multiplying a denominator by a whole number, he value decreases accordingly, in other word, it changes inversely.

Examples:

In 1/2, if 2 is multiplied by 2, the value becomes 1/4, which is half of 1/2

In 1/4, if 4 is multiplied by 2, the value becomes 1/8 which is half of 1/4.

Hope this helps

Good luck

Answer:

[tex]\huge\boxed{\cot\dfrac{3\pi}{2}=0}[/tex]

Step-by-step explanation:

[tex]\text{We know}\ \cot x=\cot(x\pm\pi)\ \text{and}\ \cot(-x)=-\cot x.\\\\\text{We have}\ \cot\dfrac{3\pi}{2}=\cot\dfrac{\pi+2\pi}{2}=\cot\bigg(\dfrac{\pi}{2}+\dfrac{2\pi}{2}\bigg)=\cot\bigg(\dfrac{\pi}{2}+\pi\bigg)=\cot\dfrac{\pi}{2}\\\\\cot\bigg(\dfrac{\pi}{2}\bigg)=0\\\\\text{Therefore}\ \cot\dfrac{3\pi}{2}=0.[/tex]

Answer:

(-15,3)

Step-by-step explanation:

Answer:

No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).

Step-by-step explanation:

This came right from Edg

Answer:

B. The Dress Shop.

Step-by-step explanation:

To find the best deal, we want to find the cost for one dress.

Lara's Boutique: $64 for 4 dresses.

x / 1 = 64 / 4

x = 64 / 4

x = $16 per dress.

The Dress Shop: $75 for 5 dresses.

x / 1 = 75 / 5

x = 75 / 5

x = $15 per dress.

Marge's Dresses: $160 for 8 dresses.

x / 1 = 160 / 8

x = 160 / 8

x = $20 per dress.

The boutique with the best deal will have the cheapest dresses. So, the best deal would be at B. The Dress Shop.

Hope this helps!

Answer:

A. AB

Step-by-step explanation:

Given that the musical instrument has a shape of ∆ABC, we can determine the shortest side that would be parallel to the ground by comparison of the 3 angles of the triangle corresponding to each side that is opposite each of them.

What this means is that, the larger angle would have the largest side opposite it. The medium angle will have medium length side opposite it, while the smallest angle will have the smallest side opposite it.

m < A = 59°

m < C = 57°

m < C = 180 - (59+57) (sum of angles in a triangle)

m < C = 64°

The smallest angle out of the three angles is angle C = 57°.

The side opposite it, is side AB.

Side AB is the shortest side of ∆ABC.

Therefore, AB should be parallel to the ground.

The

side

of the musical instrument that should be parallel to the ground if the

dimensions

are as given is side AB, which is option A.

Given that:

Jordon will play a

triangle

in his school’s music program.

When playing, the shortest side

is hanging down,

parallel

to the ground.

From the figure:

m∠A = 59°

m∠C = 57°

By the

angle sum

property,

m∠A + m∠B + m∠C = 180°

59° + m∠B + 57° = 180°

m∠B + 116° = 180°

m∠B = 180° - 116°

        = 64°

The

shortest side

will be the side that is opposite to the smallest angle.

So, the smallest side is the side opposite to C.

So, the side is AB.

Hence, the side is AB, which is option A.

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Triangles

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Answer:

Average speed for the entire trip, both ways, is

                (Total distance) divided by (total time) .

We don't know the distance from his house to the gift store,

and we don't know how long it took him to get back.

We'll need to calculate these.

-- On the trip TO the store, it took him 50 minutes, at 6 mph.

-- 50 minutes is 5/6 of an hour.

-- Traveling at 6 mph for 5/6 of an hour, he covered 5 miles.

-- The gift store is 5 miles from his house.

-- The total trip both ways was 10 miles.

-- On the way BACK home from the store, he moved at 12 mph.

-- Going 5 miles at 12 mph, it takes  (5/12 hour) = 25 minutes.

Now we have everything we need.

Distance:

        Going:       5 miles

        Returning:  5 miles

        Total         10 miles

Time:

        Going:        50 minutes

        Returning:   25 minutes

        Total:          75 minutes  =  1.25 hours  

        Average speed for the whole trip =

                      (total distance) / (total time)

                  =      (10 miles)  /  (1.25 hours)

                  =       (10 / 1.25)  miles/hours

                  =          8 miles per hour

Step-by-step explanation:

Answer:

4x+15=7x+2

15_2=7x_4x

13=3x

13/3=x

4.33=x

Answer:

[tex]\boxed{x=\frac{13}{3} }[/tex]

Step-by-step explanation:

Subtract both sides by 15 and 7x.

Then, divide both sides by -3.

[tex]4x+15=7x+2\\4x-7x=2-15\\-3x=-13\\\displaystyle x=\frac{13}{3}[/tex]

Answer:

Step-by-step explanation:

Please check ones more because this might be incorrect.

The area is in square meters...Let's change it

Square 48= 48*48 =2304

2304 divided by 4( 4 since the formula for the area of a sqaure is s*s and square has 4 sides)

2304 divided by 4 = 576

The formula for area of a square is S*S(side times side)

Let's apply the formula here.

so, 576 times 576

331776 square meters

Hope this is right and helps! :)

( This just my point of view. Please check this onces again)

Answer:

the answer is 64

Step-by-step explanation:

khan

Answer:

0.897

Step-by-step explanation:

Brahmagupta formula for quadratic equation [tex]ax^2+bx=c[/tex] is

[tex]x=\dfrac{\sqrt{4ac+b^2}-b}{2a}[/tex]

It involved only one solution.

The given equation is

[tex]3x^2+4x=6[/tex]

Here, a=3, b=4 and c=6. Put these values in the above formula.

[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]

[tex]x=\dfrac{\sqrt{4(3)(6)+(4)^2}-4}{2(3)}[/tex]

[tex]x=\dfrac{\sqrt{72+16}-4}{6}[/tex]

[tex]x=\dfrac{\sqrt{88}-4}{6}[/tex]

[tex]x\approx \dfrac{5.38}{6}[/tex]

[tex]x\approx 0.897[/tex]

Therefore, the required solution is 0.897.

Answer:

B and D

Step-by-step explanation:

I think this is the answer

Answer:

42 ducks remain in the pond

Step-by-step explanation:

First, find the number of white ducks

28*2=56

Add them to the brown ducks

56+28= 84

Then divide by 2 because half flew away

84/2=42

So 42 ducks remain in the pond. Hope this helps :)

Answer:

(1.5,-3) and (4.5,-3)

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

The cube root is defined for all real numbers, but squaring it makes the first term of F(x) be non-negative. Hence the domain of F(x) is all real numbers, and its range is [-2, ∞).

Shifting the function 2 units left does not change the domain.

Shifting the function 4 units up moves the range to [2, ∞).

Step-by-step explanation:

Hello!!!

Given, VXW is a Right angled triangle where WV =4 and XV =5.

now, by taking reference angle as angle W, and using tangent we get;

p=5

b=4

again,

tan thita =p/b

tan thita = 5/4

so, tan thita =1.25.

now, to find angle W, we should do tan thita inverse;

or, (tan thita)-1= tan thita-1(1.25)

or, (tan thita) -1 =51.3401°.

Now, by rounding off we get,

tan thita (angle W )= 51°.

Hope it helps....

Answer:

12

Step-by-step explanation:

3(4 - 2)^2

Parentheses first

3 ( 2) ^2

Then exponents

3 *4

Then multiply

12

See the answer in attachment

Answer:

(x-2)(x+1)(x+1)

Step-by-step explanation:

x³-3x-2=

(x-2)(x+1)(x+1)

Answer:

210 students

Step-by-step explanation:

The total number of students surveyed was

19+14+30+23+14 = 100

The fraction that picked Yosemite is 14/100

Multiply that fraction by the total number of students

1500* 14/100 = 210

Answer:

210 students

Step-by-step explanation:

vote me brainliest plz

Answer:

Hey there!

SL=KR

We can't prove that the triangles are congruent, but since SL=SK+KL, and KR=RL+LK. We have RL=SK, so we have two lines:

SL=SK+KL

KR=SK+KL

These are clearly congruent, making these two lines congruent.

Hope this helps :)

Answer:

[tex]24 units^2[/tex]

Step-by-step explanation:

Well we can divide the given polygon into smaller triangles.

The triangle on the upper right corner has a base of 4 units and a height of 3 units.

So we use the following formula,

[tex]\frac{b*h}{2}[/tex]

4*3 = 12

12 / 2 = 6 units^2

Now we can do the bottom triangle.

It has a base of 4 units and a height of 1 unit.

So 4*1 = 4

4 / 2 = 2 units^2

Now for the top left triangle.

It has a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

Now all we have is the middle part.

Its a triangle with a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

6 + 2 + 4 + 4 = 16 units^2

Thus,

after adding everything up the total area of the polygon is 16 units^2.

Hope this helps :)

Answer:

a]2.3 hrs

b]3.6hrs

Step-by-step explanation:

4hrs = 12 miles

x       =  7miles

4 x 7=28/12=2.3

4 x 11=44/12=3.6hrs

Answer:

Below in bold.

Step-by-step explanation:

His rate of walking =  12/4 = 3 miles per hour.

So the times for 7 and  11 miles are

(a)  7/3 = 2 1/3 hours.

(b) 11/3 = 3 2/3 hours.

Answer:

Step-by-step explanation:

Hello,

[tex]8a(3x-2y)^2-12x +8y\\\\ = 8a(3x-2y)^2-4(3x-2y)\\\\ = (3x-2y)(8a(3x-2y)-4)\\\\=(3x-2)(24ax-16ay-4)[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

80 = EG

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

40 = 1/2 EG

Multiply each side by 2

80 = EG

Answer:

80 deg

Step-by-step explanation:

Theorem:

The measure of an inscribed angle is half the measure of the intercepted arc.

m<EFG = (1/2)m(arc)EG

40 deg = (1/2)m(arc)EG

m(arc)EG = 2 * 40 deg

m(arc)EG = 80 deg

Answer:

D

Step-by-step explanation:

Find the x intercepts from the equation and apply them to the graphs. It matches up with D. Your thought is correct

Answer:

[tex]\boxed{\mathrm{D}}[/tex]

Step-by-step explanation:

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

Let x = 0, find the y-intercept.

[tex]y= (0 + 1)(0 - 1)(0 - 4)[/tex]

[tex]y= ( 1)(- 1)(- 4)[/tex]

[tex]y=4[/tex]

The function crosses the y-axis at 4.

The only graph that shows this is graph D.

Answer:

88 inches

Step-by-step explanation:

We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.

Answer:

88 inches

Step-by-step explanation:

The stop sign is in the shape of an octagon. An octogon has 8 sides. If each side is 11 inches you multiply 11 * 8 which is 88.

Answer:

30 s

Step-by-step explanation:

When the ball hits the ground h=0. To find the time t when this happens we must solve the equation h=0.

●h= 0

● -12t^2+360t =0

● t(-12t +360) = 0

● t = 0 or -12t +360 =0

● t=0 or -12t = -360

● t=0 or 12t =360

● t=0 or t=360/12

● t=0 or t= 30

The equation has two solutions.

The ball was fired with an initial speed of 800 feet per second so it cannot hit the ground at t=0.

So the ball hits the ground after 30 s.

Answer:

5

Step-by-step explanation:

5

Answer:

X=6/11

Step-by-step explanation:

8-(5x-2)=6-2(3x+1)

8-5x+2=6-6x-2

10-5x=4-6x

6=11x

x=6/11

Answer:

8-5x-2=6-6x+2

8-2-6-2=5x-6x

-10+8=-x

-2 =-x

x=2 ........×-1

x=2

Answer:

The x value of the point 1/4 the distance from point C to point D is -0.25

Step-by-step explanation:

The given information are;

The location of point C = (1, 2)

The location of point D = (-4, -2)

The point 1/4 from point C to point D is the point 3/4 from point D to point C

Which gives;

The coordinate at point D + 3/4× The difference between the coordinates of point C and point D

Which is (-4 + 3/4×(1 - (-4),  - 2 + 3/4×(2 - (-2))

Which gives;

(-4 + 3.75, -2 + 3)  and (-0.25, 1)

The coordinates of the point 1/4 the distance from point C to point D is (-0.25, 1)

Therefore, the x value of the point 1/4 the distance from point C to point D = -0.25.