Find the slope of the line that passes through (7, -1) and (15,9)

Answer:

H

Step-by-step explanation:

When h=0,t=45.

so we can exclude F.

When h=10,t=15.

only H satisfiy the condition.

Answer:

H

The line shows an inverse proportionality between temperature and time:

[tex]{ \tt{t \: \alpha \: \frac{1}{h} }} \\ \\ { \tt{t = \frac{k}{h} }}[/tex]

Slope or change:

[tex] = \frac{45 - 30}{0 - 5} \\ = - 3[/tex]

y-intercept:

[tex]c = 45[/tex]

General equation:

[tex]y = - 3x + 45[/tex]

Answer:

9.32m is the height of. the tree from the ground.

Answer:

20 Lines

Step-by-step explanation:

According to the Question,

Now,  the total pairs of points which can be formed is 9

And, the line passing through 2 such points 9c2 = 9! / (2! x 7!) = 9x4 ⇒ 36

Here, We have overcounted all of the lines which pass through three points.

And, each line that passes through three points will have been counted 3c2 = 3! / 2! ⇒ 3 times

Now, the sides of the square consist of 3 points. We have counted each side thrice, so 4*2 are repeated.

Answer:

The number of correct answers is 28

Step-by-step explanation:

The value of a correct answer = +3

The value of a wrong answer = -1

The number of questions Ramesh answered = All the questions

The number of mistakes in the question = 5,

Let x represent the number of correct answers therefore, we get;

+3 × x + (-1) × 5 = 79

∴ x = (79 - (-1) × 5)/+3 =  28

The number of correct answers, x = 28

Answer:

28

Step-by-step explanation:

Answer:

0.7304

Step-by-step explanation:

According to the Question,

We have,

P(keystroke satisfactory) =0.83 ,  P(logic satisfactory)= 0.88

Since the events are independent. So, the probability that a finished calculator will be satisfactory

⇒ 0.83×0.88

⇒0.7304

Answer:

7B + (36 * 4) = 184

Step-by-step explanation:

In a family restaurant there are 36 tables and 7 booths.

Each table can seat 4 people.

Let the number of people who can be seated in a booth be represented by B.

Total seating capacity of the restaurant is 184 people.

Expressing this as an equation:

Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184

Answer:

90

Step-by-step explanation:

From the given drawing, we have;

ΔRST is circumscribed about circle A

The center of the circle A = The point A

The line RT = A tangent to the circle A

The radius to the circle A = The line AP

According to circle theory, a line which is tangent to a circle is perpendicular to the radius of the circle drawn from the point of tangency

Where two lines are perpendicular to each other, then the angle formed between them = 90°

The angle formed between a tangent and the radius of the circle = m∠APT

Therefore;

m∠APT = 90°

Answer:

no solutions

Step-by-step explanation:

Hi there!

We're given this system of equations:

x+y=3

4y=-4x-4

and we need to solve it (find the point where the lines intersect, as these are linear equations)

let's solve this system by substitution, where we will set one variable equal to an expression containing the other variable, substitute that expression to solve for the variable the expression contains, and then use the value of the solved variable to find the value of the first variable

we'll use the second equation (4y=-4x-4), as there is already only one variable on one side of the equation. Every number is multiplied by 4, so we'll divide both sides by 4

y=-x-1

now we have y set as an expression containing x

substitute -x-1 as y in x+y=3 to solve for x

x+-x-1=3

combine like terms

-1=3

This statement is untrue, meaning that the lines x+y=3 and 4y=-4x-4 won't intersect.

Therefore the answer is no solutions

Hope this helps! :)

The graph below shows the two equations graphed; they are parallel, which means they will never intersect. If they don't intersect, there's no common solution

Answer:

20 minutes on the stationary bike

10 minutes on the treadmill

Step-by-step explanation:

x = minutes on bike

y = minutes on treadmill

x + y = 30

12x + 15y = 390

x = 30-y

12(30-y) + 15y = 390

360 - 12y + 15y = 390

3y = 30

y = 10

x + 10 = 30

x = 20

Answer:

x = 70     y = 140

Step-by-step explanation:

Apologies if I get any names of vocabulary terms wrong, I never pay much attention to the names.

The central angle measure of an arc is the same as the arc's measure. In this case, y is the central angle and 140 is the arc's measure, so y = 140.

The inscribed angle measure of an arc is 1/2 the arc's measure. An inscribed angle lies on the circle. So 140/2 = 70 = x.

Answer:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Step-by-step explanation:

In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.

The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

[tex]\frac{()}{(x-4)(x-5)}[/tex]

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be ([tex](x - 6)(x-10)[/tex]). Now one has this much of the function assembled

[tex]\frac{(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

[tex]\frac{2(x-6)(x-10)}{(x-4)(x-5)}[/tex]

Answer:

So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3. A good way to check the result is to multiply it out and make sure the product is 24.

Step-by-step explanation:

Answer:

b; ∀x   P(x) ∨ ¬P(x)

Step-by-step explanation:

Suppose that we have a proposition p

Such that p can be true or false.

We can define the negation of p as:

¬p

Such that, if p is false, then ¬p is true

if p is true, then ¬p is false.

Also remember that a proposition like:

p ∨ q

is true when, at least one, p or q, is true.

Then if we write:

p ∨ ¬p

Always one of these will be true (and the other false)

Then the statement is true.

And if the statement depends on some variable, then we will have that:

p(x) ∨ ¬p(x)

is true for all the allowed values of x.

from this, we can conclude that the statement that is always true is:

b; ∀x   P(x) ∨ ¬P(x)

Where here we have:

For all the values of x,   P(x)  ∨ ¬P(x)

Answer:

[tex]i^{2} (2i^{2} -5)[/tex]

[tex]2i^{2} \times i^{2} -5i^{2}[/tex]

[tex]2(-1)(-1)-5(-1)[/tex]

[tex]2+5[/tex]

[tex]=7[/tex]  [tex]i^{2}(2i-5)[/tex]

------------------

[tex]i^{2} (3+i^{2} )[/tex]

[tex]i^{2} \times 3+i^{2} \times i^{2}[/tex]

[tex](-1)3+(-1)(-1)[/tex]

[tex]-3+1[/tex]

[tex]-2[/tex]  [tex]=i^{2} (3+i^{2} )[/tex]

---------------------

[tex]2i(2i-i^{3} )[/tex]

[tex]2i\times 2i-i^{3} \times2i[/tex]

[tex]4i^{2} -2i^{4}[/tex]

[tex]4(-1)-2(1)[/tex]

[tex]-4-2=[/tex]

[tex]-6=2i(2i-i^{3} )[/tex]

-------------------

[tex]i(4i^{3} -i)[/tex]

[tex]4i^{3} \times i-i\times i[/tex]

[tex]4i^{4} -i^{2}[/tex]

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

[tex]4+1=5[/tex]

--------------------

ANSWER:

[tex]-6\Longrightarrow 2i(2i-i^{3} )[/tex]

[tex]5\Longrightarrow i(4i^{3} -i)[/tex]

[tex]7\Longrightarrow i^{2} (2i-5)[/tex]

[tex]-2\Longrightarrow i^{2} (3+i^{2} )[/tex]

----------------------------

Hope it helps...

Have a great day!!

Answer:

1. The graph of the inequality, y > -3·x - 2, created with MS Excel is attached showing the following characteristics;

Linear

Shade is above the line

2.  The graph of the inequality, y ≤ │x│ - 3,  created with MS Excel is attached showing the following characteristics

Linear

Shade is below the line

3. The graph of the inequality, y < x² - 4,  created with MS Excel s attached showing the following characteristics;

Quadratic

Shade below the line

Step-by-step explanation:

Given:

The limit problem is:

[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]

To find:

The value of the given limit problem.

Solution:

We have,

[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]

It can be written as:

[tex]=lim_{x\to -5}\dfrac{\dfrac{x+5}{5x}}{2(5+x)}[/tex]

[tex]=lim_{x\to -5}\dfrac{x+5}{5x}\times \dfrac{1}{2(5+x)}[/tex]

[tex]=lim_{x\to -5}\dfrac{1}{5x\times 2}[/tex]

[tex]=lim_{x\to -5}\dfrac{1}{10x}[/tex]

Applying limit, we get

[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{10(-5)}[/tex]

[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{-50}[/tex]

Therefore, the value of given limit problem is [tex]-\dfrac{1}{50}[/tex].

Answer:

1. LM < PN

2. AD < DC

3. m<CAB < m<CBA

4. m<1 = m<2

Step-by-step explanation:

Recall: an angle measure is relative to the length of the opposite side. That is, the longer the side opposite to an angle, the larger the measure of that angle and vice versa.

1. LM is opposite to <LNM,

PN is opposite to <NLP

m<LNM is less than m<NLP, therefore,

LM < PN

2. AD is opposite to <ABD

DC is opposite to <DBC

m<ABD is less than m<DBC, therefore,

AD < DC

3. m<CAB is opposite to CB

m<CBA is opposite to CA

CB is less than CA, therefore,

m<CAB < m<CBA

4. The side opposite to <1 is congruent to the side opposite to <2.

Therefore,

m<1 = m<2

Answer:

I don't know I don't know about question

Answer:

36

Step-by-step explanation:

63/(7/4) 63 divided by 7/4

63* 4/7 63 multiplied by 4/7

=36 answer is 36

Answer:

because internal staggal angles are equal

Step-by-step explanation:

The first reason is wrong.

Angle EGH and DEG are internal staggal angles:

the two angles are on both sides of the cut line EG, and the two angles are between the two divided lines.

{the definition of internal staggal angle}

Answer:

10

Step-by-step explanation:

last year he planted 12.

1/3 of that is 12/3 = 4.

6 more than that is 4 + 6 = 10.

Answer: C.)  10

Step-by-step explanation:

Answer:

[tex]2(a + 8) \\ if \: a = 7 \\ 2 \times (7 + 8) \\ 2 \times 15 \\ = 30 \\ [/tex]

please mark as brainliest

Answer:

x=-3 and y=-2

Step-by-step explanation:

let the numbers be x and y

x+y=-5

x-y=-1

therefore x=-5-y

-5-y-y=-1

-2y=-1+5

-2y=4

y=-2

×=-5-(-2)

x=-5+2

x=-3

Answer: -2 and -3

Step-by-step explanation:

x + y = -5

x - y = -1 -> x = y - 1

(y - 1) + y = -5

y - 1 + y = -5

2y = 1 - 5

2y = -4

y = -2

x = y - 1 = -2 - 1 = -3

Answer:

∠3 = 142°

Step-by-step explanation:

L // M

∠2 = 38°    {Corresponding angles are congruent}

∠2 + ∠3 = 180   {Linear pair}

38 + ∠3 = 180

       ∠3 = 180 - 38

∠3 = 142°

the answer is 142 degrees, get 180 degrees from a straight lines and subtract the acute angle from 180 to get the answer, 180-38

Answer: 68

Step-by-step explanation: Complementary angles are angles that add up to 90. So, you need to do 90-22=68.

Answer:

option d is correct answer

Answer:

16.67% of your day is spent in math class.

Step-by-step explanation:

The total would be 100% and then since you have 6 periods we divide 100 by 6 to get 16.67%. So 16.67% of your day is spent in math class.