Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. (5 points) a = 240 b = 123 c = 207

Answer:

C

Step-by-step explanation:

So we have the point (-6,-3) and a slope of 4.

And we want to write this into point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Therefore, substitute in 4 for m and let (-6,-3) be x₁ and y₁, respectively.

Therefore:

[tex]y-(-3)=4(x-(-6))[/tex]

Two negatives make a positive:

[tex]y+3=4(x+6)[/tex]

The answer is C

Answer:

[tex]y=x+4[/tex]

Step-by-step explanation:

Two parallel lines will have the same slope:

[tex]y=mx+b[/tex]

This is the y-intercept equation, where m is the slope and b is the y-intercept:

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

The slope is x, or 1x, so the parallel line is also x.

Find the y-intercept:

You do this by taking the equation given and solving for y:

[tex]2x+3y=12[/tex]

Isolate the variable y. Subtract 2x from both sides:

[tex]2x-2x+3y=12-2x\\\\3y=12-2x[/tex]

Isolate y by dividing both sides by 3:

[tex]\frac{3y}{3}=\frac{12}{3}-\frac{2x}{3} \\\\y=4-\frac{2}{3}x[/tex]

Rearrange in slope-intercept form:

[tex]y=-\frac{2}{3}x+ 4[/tex]

The y-intercept of this equation is 4.

Now make the equation using the given information:

[tex]y=x+4[/tex]

:Done

Answer:

1/5

Step-by-step explanation:

non collinear means that they don't lie on the same line

so the probability is 1/5

this is because there are 5 points in total ( Q, R, S, T, AND W)

and only 1 can be non collinear  (Q)

(non collinear point pair can be Q and R,  Q and S,   Q and T   or   Q and W )

Answer:

241/35 = 6  31/35

Step-by-step explanation:

2  3/5 + 4  2/7 = 241/35

Answer:

1

Step-by-step explanation:

If it was 0, then the variable would not be there since anything times 0 is 0. Now you might be wondering how it is 1. Anything times 1 is itself, so there is no need to write x as 1x, you can just write it as x. Same thing with a. No need to write 1a, just a

The coefficient of a plain variable is 1.

A coefficient is a number multiplied by a variable.

Whenever a variable is given without any coefficient, we consider the coefficient as 1, because multiplying any digit or variable by 1 does not change its value.

Hence, The coefficient of a plain variable is 1.

For more references on coefficient, click;

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Answer:

State A had approximately 1,533 more earthquakes than  State B.

Step-by-step explanation:

Earthquake: The term "earthquake" is determined as the surface shaking of the uppermost layer of the earth that often results from the absurd release of specific energy in the "earth's lithosphere" that tends to create "seismic waves". However, the intensity of the earthquake varies time to time and the weak tremor is rarely being noticed as compared to the higher ones.

Answer:

C

Step-by-step explanation: i took the test and got a 100%

Answer:

a = 50 degrees

b = 85 degrees

c = 95 degrees

d = 82 degrees

e = 125 degrees

f = 95 degrees

g = 110 degrees

h = 35 degrees

Step-by-step explanation:

1: Since the bottom angle is 124, then we see that a + 74 = 124 because they are corresponding angles.

Solve for a, and we get a = 50 degrees.

2. b is equal to 180 - 95 which is 85 degrees, as it is supplementary with the alternate exterior angle of 95 degrees.

c is equal to 180 - 85 which is 95 degrees, as it is supplementary with the alternate exterior angle of 85 degrees.

3. d is 82 degrees, as it is an alternate interior angle with the 82.

e is 125 degrees, as it is corresponding with the 125.

4. If we extend the left slanted line, we see that the exterior angle of the bottom left angle of the triangle is 130 degrees. We know that 130 = 45 + 180 - f, so we solve for f and get 95 degrees.

5. g = 180 - 70 = 110 degrees, as it is supplementary with the alternate exterior of the corresponding angle of 70.

6. We know that the top right angle of the 120 degrees and the 35 degrees triangle is 25 degrees. Then, the bottom left angle is also 25 degrees as they are alternate interior angles. The other unknown angle in the 25 degrees and h triangle is supplementary to 60, so it is 120 degrees.

We know that 25 + h + 120 has to be 180, so we can solve for h and get 35 degrees.

Answer:

Let the distance of school and house is x k m

Then time taken at speed 2.5 km\hr=

2.5

x

hr

And time taken at speed 4 km\hr=

4

x

hr

∴

2.5

x

−

4

x

=

60

12

⇒

10

4x−2.5x

=

5

1

⇒x=3 km

Then the distance of school and house is 3 k m

may this help you

Step-by-step explanation:

2+19=7x

21=7x

21÷7=7x÷7

3=x

..

Answer:

The correct answer is:

the amount of difference expected just by chance (b)

Step-by-step explanation:

Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:

standard error = (mean deviation) ÷ √(sample size).

standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.

Answer:

you need one of them to be 0 and the other 2 the negative of each other.

or they must have the same sign and be 1,2,3 (or -1, -2 and -3)

sequence not effect the answer

Step-by-step explanation:

Answer:

st

Just substitute in the given values

Step-by-step explanation:

Hey, there!!

You can solve it simply,

1.

Given,

x= 1 , y=2 , z= 3

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {1}^{2} } - \frac{1}{2 + 3} [/tex]

[tex] = 1 - \frac{1}{5} [/tex]

Taking LCM,

[tex] = \frac{5 - 1}{5} [/tex]

Therefore, the final answer is 4/5.

2.

Given,

x= 1 , y= -2, z= -1.

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {1}^{2} } - \frac{1}{ - 2 - 1} [/tex]

Taking LCM,

[tex] = \frac{ - 3 - 1}{ - 3} [/tex]

[tex] = \frac{ - 4}{ - 3} [/tex]

Cancelling the minus sign,

[tex] \frac{4}{ 3} [/tex]

is the final answer.

3.

Given,

x= -3, y= -1, z= 4

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {( - 3)}^{2} } - \frac{ - 3}{ - 1 + 4} [/tex]

[tex] = \frac{1}{9} - ( - 1)[/tex]

[tex] = \frac{1 + 9}{9} [/tex]

Therefore, the answer is 10/9.

4.

Given,

x= 1/2, y=1, z=1.

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ ( { \frac{1}{2}) }^{2} } - \frac{ \frac{1}{2} }{1 + 1} [/tex]

Simplifying them ,

[tex]1 \times \frac{4}{1} - \frac{1}{2} \times 2[/tex]

[tex] = 4 - 1[/tex]

Therefore, the answer is 3.

Hope it helps...

Answer:

(40+2)+(6x4)

Step-by-step explanation:

Forty plus two is forty-two, and six times four is twenty-four. So, add them together and you'll get the same answer! Hope this helps!

Our equation: 33x + 10 = 5 - 2x

Step 1:

To solve for x, we need to remember to isolate the variable (that is our way to solve for x). To do that, we add 2x on the right side of the equation to cancel -2x out. Then, we add 2x on the left of the equation. The equation becomes:

[tex]35x+10=5[/tex]

Step 2:

We subtract 10 from both sides (to cancel out the 10 on the left). Equation:

[tex]35x=-5[/tex]

Step 3: Divide 35 on both sides to get our x value.

[tex]\frac{35x}{35}=x\\\\\frac{-5}{35} =\frac{-1}{7}[/tex]

Answer: [tex]x=\frac{-1}{7}[/tex] Hope this helps!

Answer:

B

Step-by-step explanation:

So we have the equation:

[tex]12x+18=4(5x-3)[/tex]

Distribute the right:

[tex]12x+18=20x-12[/tex]

Add 12 to both sides:

[tex]12x+30=20x[/tex]

Subtract 12 from both sides:

[tex]30=8x[/tex]

Divide both sides by 8:

[tex]x=30/8[/tex]

Reduce:

[tex]x=15/4[/tex]

Put into mixed fractions:

[tex]x=12/4+3/4=3\text{ } 3/4[/tex]

Our answer is B :)

Answer:

[tex]B. \:3\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]12x+18=4(5x-3)\\\\\mathrm{Expand\:}4\left(5x-3\right):\quad 20x-12\\12x+18=20x-12\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\12x+18-18=20x-12-18\\\\Simplify\\12x=20x-30\\\\\mathrm{Subtract\:}20x\mathrm{\:from\:both\:sides}\\12x-20x=20x-30-20x\\\\Simplify\\-8x=-30\\\\\mathrm{Divide\:both\:sides\:by\:}-8\\\frac{-8x}{-8}=\frac{-30}{-8}\\\\Simplify\\x=\frac{15}{4}\\\\15\div 4 = 3remainder3\\\\=3\frac{3}{4}[/tex]

Answer:

3 - ( -5)=

8

Step-by-step explanation:

To find the distance

3 - ( -5)=

3+5

8

Question 7

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

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

================================================

Question 8

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

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

5 equilateral triangles.

Hope this helps.

Answer:

x = m - a/b + k

Step-by-step explanation:

m = x + (a / b) - k ​

switch sides

x + a/b - k = m

subtract a/b - k from both sides

a + a/b - k - (a/b - k) = m - (a/b - k)

therefore,

x = m - a/b + k

Answer:

.2,.35,.39,.75

Step-by-step explanation:

u just arrang in order

Answer:

a :)

Step-by-step explanation:

Answer:

  take your pick. Each has its own reason.

Step-by-step explanation:

As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.

__

I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.

Answer: 7 8 and 9

Step-by-step explanation:

7+8=15 and 15+9= 24 so 7, 8, 9 equal 24

Step-by-step explanation: This problem states that the sum of 3

consecutive integers is 24 and it asks us to find the integers.

You can represent the integers as I have down below.

Then solve from there, which I have also shown below.

Don’t just solve for x. Make sure you list all the

integers that the problem asks you to find.

Answer:

[tex]\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}[/tex]

[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}[/tex]

[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}[/tex]

[tex]x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1[/tex]

[tex]\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4[/tex]

Answer:

Ray DE and Ray AE

Step-by-step explanation:

Ray AE and ray CE are the required pair of opposite rays. Option A is correct.

Given that,
A figure has shown, Four rays have been emerging out from a single point E. It is to be determined that which pair of rays are pair of opposite rays.

What is a Line?

A line can be defined by the shortest distance between two points is called a line.

Here, as shown in the figure,
Four trays are emerging out from point E namely, AE, BE, CE, and DE. Rays AE and CE or Ray DE and BE both are pairs of opposite rays

Thus, ray AE and ray CE are the required pair of opposite rays. Option A is correct.

Learn more about lines here:

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The absolute value is the distance the number is from zero. For example, the absolute value of -4 is 4 and the absolute value of 4 is 4. Also |-24| is 24.

The absolute value of -9 is 9. 2 times 9 is 18.

The absolute value of -4 is 4. 4 times 4 is 16.

The absolute value of 1 is 1. 1 times 1 is 1.

The absolute value of 1 is 11. 11 times 11 is 121.

The absolute value of -2 is 2. 9 times 2 is 18.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The opposite of a number is the difference it is from zero but on the other side (opposite sign). For example, the opposite of -5 is 5, and the opposite of 2 is -2.

11 is opposite of -11.

-8 is opposite of 8.

31 is opposite of -31.

-1 is opposite of 1.

-17 is opposite of 17.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

♡ Hope this helped! ♡

❀ 0ranges ❀

Answer:

C

Step-by-step explanation:

The difference between 30 and 15 is 15

then multiply the 15 % with 400

and you will get the value 60 which is the answer you want

Answer:

C. 60

Step-by-step explanation:

To find the difference between them, we must:

1. Find the amount of the percentage.

(Percent (%) is always over 100)

30% of 400 = 30/100 × 400/1

=12,000/100 = 120

So 30% of 400 is 120.

15% of 400 = 15/100 × 400

=6,000/100 = 60

So 15% of 400 is 60.

2. Then subtract the amount of the percentages to find their difference.

120 - 60= 60

So the difference between 120 and 60 is 60.

I hope this helps! I'm sorry if it's wrong or too complicated.

Answer:

Step-by-step explanation:

To convert the value 1,000,000 to an exponential form means we are to write the value in multiples of 10.  Breaking down the values in multiples of 10 will give;

1,000,000 = 10 * 10 * 10 * 10 * 10 * 10 (it is broken down into 6 places because the value contains 6 zeros)

Express in exponential form

1,000,000 = (10 * 10 * 10) * (10 * 10 * 10)

1,000,000 = (10³) * (10³)

1,000,000 = 10³⁺³

1,000,000 = 10⁶

Hence the value 1,000,000 in exponential form is expressed as 1 * 10⁶

For 10 * 10:

10 * 10 = 10¹ * 10¹

10 * 10 = 10¹⁺¹

10 * 10 = 10²

10 * 10 = 1 * 10²

The value of the expression 10*10 in exponential form is 1 * 10²

For 10,000 * 10:

10,000 * 10 = (10*10*10*10) * 10

10,000 * 10 = (10⁴) * 10¹

10,000 * 10 = 10⁴⁺¹

10,000 * 10 = 1 * 10⁵

Hence, The value of the expression 10000*10 in exponential form is 1 * 10⁵

Answer:

6x-10 =32

Step-by-step explanation:

Let the number be x

the product of 6 and a number

6x

ten less than

6x-10

That is equal to 32

6x-10 =32

Answer:

1

Step-by-step explanation:

Given

[tex]\frac{14x}{10y}[/tex] ← substitute x = 5 and y = 7 into the expression

= [tex]\frac{14(5)}{10(7)}[/tex]

= [tex]\frac{70}{70}[/tex]

= 1