Calculate the distance between the points N=(-9,9) and H=(-3,2) in the coordinate plane.

Answer:

The correct options for the solution values are:

Step-by-step explanation:

Given the expression

[tex]x^2+10x+25=8[/tex]

Subtract 25 from both sides

[tex]x^2+10x+25-25=8-25[/tex]

Simplify

[tex]x^2+10x=-17[/tex]

Add 25 or 5² to both sides

[tex]x^2+10x+5^2=8[/tex]

as

[tex]x^2+10x+5^2=\left(x+5\right)^2[/tex]

so the expression becomes

[tex]\left(x+5\right)^2=8[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solve

[tex]x+5=\sqrt{8}[/tex]

Subtract 5 from both sides

[tex]x+5-5=2\sqrt{2}-5[/tex]

[tex]x=2\sqrt{2}-5[/tex]

solve

[tex]x+5=-\sqrt{8}[/tex]

Subtract 5 from both sides

[tex]x+5-5=-2\sqrt{2}-5[/tex]

[tex]x=-2\sqrt{2}-5[/tex]

Therefore, the solution to the equation

[tex]x=2\sqrt{2}-5,\:x=-2\sqrt{2}-5[/tex]

Hence, the correct options for the solution values are:

Answer:

(-10) + 3

Step-by-step explanation:

hopefully it helped

Answer:

It is a triangle

Step-by-step explanation:

This is called Triangle Inequality. We can use its theorem to identify whether these three sides work or not.  The Theorem states, "the sum of the smallest lengths of any two sides must be greater than or equal to the length of the remaining side." If we look at the sides, 11,4,7, we can conclude that these are applicable sides for a triangle because the sum of the two smallest lengths, 4 and 7, are the same value as 11. Therefore, these measurements are a triangle.

Answer:

7

Step-by-step explanation:

Answer:

both angles are acute

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer: the answer is 50

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

it is 25

Step-by-step explanation:

Answer:

look below

Step-by-step explanation:

I think the answer is for A 12mm because there is a -3 in the spot and you have 15 mm and for B 17mm because you still have that 15mm but this time you have a +2  

I think this might be the answer I am kind of good at math but I don't really know this one sorry if I get it wrong

[I took this from the internet, but hope it helps!]

Answer:

x=6.5

Hope my answer is helpful to you

Answer:

32. C

34.C

36. 2

Answer:

32. C, 34. C, 35. C, 36. 2 miles

Step-by-step explanation:

32. C because you can see the ratio is 7:1. There is only one answer that has a ratio of 7:1 which is C

34. C because the ratio of batches of cookies to cooking oil is [tex]1:\frac{2}{3}[/tex] since you want 4 batches of cookies, multiply 4 by [tex]\frac{2}{3}[/tex] to get C

35. C because the ratio of butter to sauce is [tex]\frac{2}{3}:2\frac{1}{2}[/tex] multiply [tex]\frac{2}{3}[/tex] by 4 to get C

36. 2 miles because the ratio of miles to hours is [tex]\frac{1}{2} :\frac{1}{4}[/tex] multiply [tex]\frac{1}{2}[/tex] by 4 to get 2 miles

Answer:

6.862035456*10^26 m/s^2

Step-by-step explanation:

We know that:

m=70kg

M=Mass of earth=5.98*10^24kg

R=Distance between object's and earth's center=6.38*10^6m

G=6.6726*10^-11 N/m/kg^2

Thus, we can use the equation [tex]F_g=\frac{GmM}{R^2}\\[/tex]:

[tex]F_g=\frac{(6.6726*10^-11)(70)(5.98*10^{24})}{(6.38*10^{-6})^2}\\\\F_g=6.862035456*10^{26}[/tex]

This means the force of gravitational attractions is 6.862035456*10^26 m/s^2

Answer:

5Twice the sum of a number and -38 amounts to 20. (Hint: needs parentheses)

6. Alex sold his used lawn tractor and accessories for $210. If he received twice as much money for the lawn

tractor as he did for the accessories, find how much money he received for the lawn tractor. Write an

equation. Then solve the equation.

7. The cost of a television with remote control is $649. This amount is $125 more than the cost without remote

control. Find the cost of the television without remote control. Write and equation. Then solve the

equation.

The values from the given situations are required.

The number is 48.

Cost of lawn tractor is $140.

Cost of TV without remote is $387.

Let [tex]x[/tex] be the number

[tex]2(x+(-38))=20\\\Rightarrow x-38=\dfrac{20}{2}\\\Rightarrow x=10+38\\\Rightarrow x=48[/tex]

The number is 48.

[tex]x[/tex] = Cost of lawn tractor

[tex]y[/tex] = Cost of accessories

Cost of lawn tractor is twice of the accessories

[tex]x=2y[/tex]

Total cost of lawn tractor and accessories is $210

[tex]x+y=210\\\Rightarrow 2y+y=210\\\Rightarrow y=\dfrac{210}{3}\\\Rightarrow y=70[/tex]

Cost of lawn tractor is [tex]x=2y=2\times 70=140[/tex]

[tex]x[/tex] = Cost of TV

[tex]y[/tex] = Cost of remote

Cost of TV and remote is $649

Cost is $125 more than the cost without remote control

[tex]x+y=649[/tex]

[tex]x-y=125[/tex]

Adding the equations we get

[tex]2x=649+125\\\Rightarrow x=\dfrac{649+125}{2}\\\Rightarrow x=387[/tex]

Learn more:

https://brainly.com/question/15125547?referrer=searchResults

Answer:

70 heartbeats per second

Step-by-step explanation:

Answer:

It may take 20 to 30 seconds.

Step-by-step explanation: Hope this helped

brainliest?

The average time it took for a tablet to dissolve in water that was 22 °C in temperature was 28.3 seconds.

Any substance that, when consumed, alters the physiology or psychology of an organism qualifies as a drug.

The properties of the API (active pharmaceutical ingredient) such as

To learn more about tablet, pharmaceutical, and physiology here,

https://brainly.com/question/14551883

#SPJ2

Given:

The graph of a function.

To find:

The domain and range of the function.

Solution:

We have, the graph of a function and we need to find the domain and range of the function.

We know that, domain is the set of input values (x-values) and range is the set of output values (y-values).

From the given graph it is clear that function is defined for all values of x except x=0 because as x tends to 0 the function tends to negative or positive infinite. So, domain can be any real number except 0.

[tex]Domain=R-\{0\}[/tex]

[tex]Domain=(-\infty,0)\cup (0,\infty)[/tex]

From the given graph it is clear that the value of function can be any real number except y=0. So, range can be any real number except 0.

[tex]Range=R-\{0\}[/tex]

[tex]Range=(-\infty,0)\cup (0,\infty)[/tex]

Therefore, the correct option is B.

Given:

Cost of two donuts and three cookies = $3.30

Cost of five donuts and two cookies = $4.95

To find:

The cost of each donut.

Solution:

Let x be the cost of each donut and y be the cost of each cookie.

Cost of two donuts and three cookies = $3.30

[tex]2x+3y=3.30[/tex]          ...(i)

Cost of five donuts and two cookies = $4.95

[tex]5x+2y=4.95[/tex]          ...(ii)

Multiply equation (i) by 2.

[tex]4x+6y=6.60[/tex]          ...(iii)

Multiply equation (ii) by 3.

[tex]15x+6y=14.85[/tex]      ...(iv)

Subtracting (iii) from (iv), we get

[tex]15x+6y-4x-6y=14.85-6.60[/tex]

[tex]11x=8.25[/tex]

Divide both sides by 11.

[tex]x=\dfrac{8.25}{11}[/tex]

[tex]x=0.75[/tex]

Therefore, the cost of each donut is $0.75.

Answer:

1) x = -2.5

2) x = 21 1/3

3) x = 12

4) x = 4

5) y = 40.5

Step-by-step explanation:

Answer:

1) x = -2.5

2) x = 21 1/3

3) x = 12

4) x = 4

5) y = 40.5

Give the person above a brainliest

Answer:

Cost of each ticket per person = $42

For groups of up to 8 people, the cost per ticket decreases by $3 for each person in the group.

Marco's ticket cost $30.

This means he paid 42-30=12 dollars less.

Now when there are 8 members, the cost decreases by $3.

So, $12 will decrease, when there will be  members

I hope this helps! Have an awesome day!

Answer:

The answer is there are 32 people in this group

Step-by-step explanation:

here is proof work if you need it:

The solution is : (f + g)(x) = x² + 4x - 4 ⇒ B, is the required function.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Let us solve the question

∵ f(x) = 4x + 4

∵ g(x) = x² - 6

→ We need to find (f + g)(x) which means f(x) + g(x)

∴ (f + g)(x) = f(x) + g(x)

∵ f(x) + g(x) = (4x + 2) + (x² - 6)

∴ f(x) + g(x) = 4x + 2 + x² - 6

→ Add the like terms

∵ f(x) + g(x) = 4x + x² + (2 - 6)

∴ f(x) + g(x) = 4x + x² + (-4)

→ Remember (+)(-) = (-)

∴ f(x) + g(x) = 4x + x² - 4

→ Arrange the terms from greatest power of x

∴ f(x) + g(x) = x² + 4x - 4

∴ (f + g)(x) = x² + 4x - 4,  is the required function.

To learn more on function click:

brainly.com/question/21145944

#SPJ7

Answer:

The hundreds place

Step-by-step explanation:

If you divide it

it would start out on the 4

Which is the hundreds Place

Answer:

Step-by-step explanation:

12 miles is the ride distance

the guy is able to travel at 6 yard per second

Question C asks how many minutes will the trip take

first we have to convert miles to yards....

there are 1760 yards in one mile

12*1760= the total distance to be traveled.. in yards..

21,120 yards

Next we'll figure out the time to travel that distance.. but we're give a rate of travel in seconds...   6  yards every second

so divide the total yards by the seconds.. that are take to travel every second.. in on second he goes 6 yards. so divide the total yards by 6 for each second of travel

21,120 / 6 = 3520 seconds  to go 12 miles  or the 21,120 yards.. it's the same distance in different units

then.. b/c the question is asking for minutes divide the 3,520 seconds by 60.. b/c that's how many seconds are in one minute

3,520 / 60 = 58.6666666666666  minutes  or  58 minutes and 2/3 of one minute.... make sense?

Answer:

7.5m

Step-by-step explanation:

Since we are not asked what to look for we can find the maximum height reached by the ball

The ball reaches its maximum height when dh/dx = 0

dh/dx = -2.4x + 6

0 = -2.4x + 6

2.4x = 6

x = 6/2.4

x = 2.5

Get the max height

Recall:

h =-1.2x^2 + 6x ,

h(2.5) = -1.2(2.5)^2 + 6(2.5)

h(2.5) = -1.2(6.25)+15

h(2.5) = -7.5 + 15

h = 7.5

Hence the maximum height reached by the ball is 7.5m

Answer:

2(5x – 1)

Step-by-step explanation:

Answer:

Domain: -3<=x<4

Range:-1<=y<-3

(can I get brainliest please)

Answer:

range: [-3,-1) domain: [4,-3); idrk know the second one srry.

Step-by-step explanation: