question 1/ Find the slope of the line that passes through the points (2, 5) and (-7, -4). If you get stuck, try plotting the points on graph paper and drawing the line through them with a ruler.

Answer:

To find slop from the given equation,

Slope (m) =

[tex] \frac{ - \: cofficients \: of \: x }{cofficient \: of \: y} [/tex]

So, slope of this equation is - 2

For perpendicular case,

M1 . M2 = - 1

Thus, m2 = 2 ( for this equation)

Similarly,

For parallel case,

M1 = m2

Thus, m2 = - 2 ( for this equation)

Answer:

5

Step-by-step explanation:

Answer:

I need a picture but if you count 3 up and and left 5 whichever line hits both of those points is the answer

Answer:

[tex] \overline{EG} \cong \overline{HK} [/tex]

[tex] \overline{HJ} \cong \overline{EF} [/tex]

[tex] \angle F \cong \angle J [/tex]

[tex] \angle H \cong \angle E [/tex]

∆FGE ≅ ∆JKH

Step-by-step explanation:

Since ∆EFG ≅ ∆HJK, therefore, the corresponding sides and angles of both ∆s are congruent.

Thus:

[tex] \overline{EG} \cong \overline{HK} [/tex]

[tex] \overline{HJ} \cong \overline{EF} [/tex]

[tex] \angle F \cong \angle J [/tex]

[tex] \angle H \cong \angle E [/tex]

∆FGE ≅ ∆JKH (take note of the arrangement of the letters or naming of each vertex of both triangles. Each vertex of in one ∆ must correspond to the vertex of the other for the ∆s to be congruent)

△EFG ≅ △HJK,

From the figure attached we can conclude  that

  [tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]

  [tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]

   ∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]

   ∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]

△FGE ≅ △JKH

Given that

△EFG ≅ △HJK,

Since △EFG ≅ △HJK is given hence we can conclude that corresponding sides and corresponding angles of both the triangles will be equal.

Two triangles are said to be congruent when they are of similar shape and size means all the angles of one triangle are  equal to the corresponding angles of other triangle and  all the  sides of one triangle are equal to  corresponding sides of other triangle.

From the figure attached we can conclude  that

  [tex]\rm \bar {EG}[/tex] ≅ [tex]\rm \bar {HK}[/tex]

  [tex]\rm \bar HJ[/tex] ≅ [tex]\rm \bar FE[/tex]

   ∠[tex]\rm F[/tex] ≅∠[tex]\rm J[/tex]

   ∠[tex]\rm H[/tex] ≅∠[tex]\rm E[/tex]

△FGE ≅ △JKH

For more information please refer to the link below

https://brainly.com/question/25063327

Answer:

Thanks for the free points

Answer:

So, the answer for b is 20.

The way to figure this out is:

angle N is congruent to angle S

angle M is congruent to angle M

side NM is 10

because of the three things above, triangle NHM is congruent to triangle SML because of SAS(side angle side postulate)

Hope that helps! Let me know if it does! ;P

Answer:

broooooooooooo how do you not know that not trying to be rude but anyways the answer is number 3

Answer:

3/32

Step-by-step explanation:

The slope is found by

m = ( y2-y1)/(x2-x1)

   = ( 19-22)/(-20-12)

   = -3/-32

   = 3/32

Answer:

30,000

Step-by-step explanation:

3/2 multiplied by 20k is

3 x 20000 over 2

which is 60000 over 2

which is 30000

Answer:

she decorated two cookies per minute

Step-by-step explanation:

72 cookies divided by 36 minutes

Answer:

You would multiply $8200 by .075, giving you 615. Then to find the decrease. Take the starting value (8200) by the end value (615). and you would get 7,585.

Answer:

ok

Step-by-step explanation:

Hi!

Pi: The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.

Hope this Helps!

Yours Truly,

Answer:

$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound

Step-by-step explanation:

Answer:

Brand A is $14

Brand B is $12.5

Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.

Step-by-step explanation:

For brand A you need to first divide 70 by 5 which equals to 14

Then you divide 105 by 12 which equals 12.5

The Last problem i gave to you in the answer box.

Hopefully you understood everything.

Have a good day

Answer:

20.25-923

Step-by-step explanation:

20.25-923

912+11=923

Answer: Does this help?↓↓↓

Step-by-step explanation:

That for every 5 gallons of water 1.5 pounds of salt is needed to meet...

Answer:

1/6 if you meant to put an X afterwards. If not, there is no slope.

Step-by-step explanation:

Answer:

[tex]35 + 15 = 5 * 10[/tex]

The factors are 5 and 10

Step-by-step explanation:

Given

[tex]35 + 15[/tex]

Required

Express as a product of two factors

[tex]35 + 15[/tex]

Start by factorizing the expression:

[tex]5(7 + 3)[/tex]

Add the expression in the bracket

[tex]5(10)[/tex]

Replace bracket with *

[tex]5 * 10[/tex]

Hence:

[tex]35 + 15 = 5 * 10[/tex]

The expression which shows 35 + 15 written as a product of two factors is 5(7 + 3).

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Let the expression be 35 + 15

Express as a product of two factors

35 + 15

Factorizing the expression we get

5(7 + 3)

simplifying the above expression, we get

5 (10)

Hence:

35 + 15 = 5 × 10

Therefore, the correct answer is option b) 5(7 + 3).

The complete question is:

Which expression shows 35 + 15 written as a product of two factors?

a) 5(6 + 3)

b) 5(7 + 3)

c) 7(5 + 2)

d) 7(5 + 3)

To learn more about expression refer to:

https://brainly.com/question/1859113

#SPJ2

Answer:

y= -5x - 21

Step-by-step explanation:

parallel lines have the same slope, so you know the slope.

you need to use the point slope formula y-y1=m(x-x1)

with this equation, this looks like y - -1 =- 5(x - -4)

double negatives are positives, so to keep this easier on the eyes, let's make it y + 1= -5(x + 4)

distribute the -5. you should get y + 1 = -5x - 20

subtract 1 to move it from the left side to the right and you get your answer!

y = -5x - 21

Answer:

Hey! It's me again!

Answer:

A

Step-by-step explanation:

Answer:

(B). A physical change takes place that causes molecules to move faster

Step-by-step explanation:

When a bar of chocolate melts its physical form is changed, there is no difference in its chemical composition as it is still same.

When the chocolate bar was frozen its molecules were held strongly, and they were barely moving, whereas when it melts the molecules are more free to move now.

Answer:

2/3

Step-by-step explanation:

3-1/5-2=

2/3

Answer: D

Step-by-step explanation:

The point in the grid if you divide by 2 will give you the prime points. Also it flips over the y axis.

Answer:

B.

Step-by-step Explanation:

The correct number line for -2.75 < x in the given options is the second diagram.

A number line is a picture of straight line that represents real numbers. These real numbers include both negative and positive numbers.

For the given expression which -2.75 < x, that is negative 2.75 is less than x or x is greater than negative 2.75.

On the number line, the arrow with unshaded circular bottom must start from -2.75 and point towards the right.

Thus, the correct number line in the given options is the second diagram or option B.

Learn more about number line here: https://brainly.com/question/24644930

Answer:

FJ = 24

DM = 16

EM = 18

Step-by-step explanation:

I remember that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side. Therefore the median is split into two parts where one side is always twice as long as the other. So given that segment ML is 8, the other part of the segment (DM) must be 16 as 16 is 2/3 of 24 and 8 is 1/3 of 24 and 1/3 + 2/3 = 1.

Therefore, since MJ is 8, FM must be twice as long so it is 16. Add them up to get FJ, and 8 + 16 is 24.

Finally for EM, since the longer part of the median is twice the length of the smaller part EM must be 18 since 9 × 2 = 18, and 2/3 of 18 is 27, 9 + 18 = 27.

Answer:

Answer: Around 1000 students would buy a school lunch.

Step-by-step explanation:

We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.

In total we have 20 + 14 = 34 students, this will be our 100%.

The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.

p1 = (14/34)*100% = 41.18%

And the percentage of students that buy lunch at school can be computed in the same way:

p2= (20/34)*100% = 58.82%

Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.

Then the exact number will be:

N = (58.82%/100%)*1700 = 1000

Around 1000 students would buy a school lunch.