Find the slope of the line that passes through the points (2, -5) and (7, 1) (find the answer to the last step)
Step 1: Choose (x1, y1)
X1= 2 y1= -5
Step 2: Identify (x2, y2)
X2= 7 y2= 1
Step 3: Apply the slope formula m= 1-(-5)/7-2.
m=____

Answer:

Step-by-step explanation:

y=(x+5)(x+4)=x²+5x+4x+20=x²+9x+20=x²+9x+(9/2)²-(9/2)²+20

[tex]y=(x+\frac{9}{2} )^2-\frac{81}{4} +20\\y=(x+\frac{9}{2})^2-\frac{81}{4}+\frac{80}{4}\\y=(x+\frac{9}{2})^2-\frac{1}{4}[/tex]

vertex is (9/2,-1/4) or(4.5,-0.25)

Angles in a transversal can be congruent either by theorems of corresponding and vertical angles.

The measure of the angles are:

[tex]\angle 1 = 97^o[/tex]

[tex]\angle 2 = 83[/tex]

[tex]\angle 3 = 66[/tex]

[tex]\angle 4 = 114^o[/tex]

[tex]\angle 5 = 83^o[/tex]

[tex]\angle 6 = 97^o[/tex]

[tex]\angle 7 = 114^o[/tex]

[tex]\angle 8 = 66^o[/tex]

[tex]\angle 9 = 97^o[/tex]

[tex]\angle 10 = 83[/tex]

[tex]\angle 11 = 66[/tex]

[tex]\angle 12 = 114^o[/tex]

[tex]\angle 13 = 83^o[/tex]

[tex]\angle 14 = 97^o[/tex]

[tex]\angle 15 = 114^o[/tex]

[tex]\angle 16 = 66^o[/tex]

Given that:

[tex]\angle 9 = 97^o[/tex]

[tex]\angle 12 = 114^o[/tex]

The following angles are congruent by theorem of vertical angles.

[tex]\angle 9[/tex] and [tex]\angle 14[/tex]

[tex]\angle 12[/tex] and [tex]\angle 15[/tex]

So, we have:

[tex]\angle 14 = 97^o[/tex]

[tex]\angle 15 = 114^o[/tex]

Apply the theorem of angles on a straight line, we have:

[tex]\angle 9 + \angle 10 = 180[/tex]

[tex]\angle 11 + \angle 12 = 180[/tex]

So, we have:

[tex]\angle 10 = 180 - 97[/tex]

[tex]\angle 10 = 83[/tex]

[tex]\angle 11 = 180 - 114[/tex]

[tex]\angle 11 = 66[/tex]

The following angles are congruent by theorem of vertical angles.

[tex]\angle 10[/tex] and [tex]\angle 13[/tex]

[tex]\angle 11[/tex] and [tex]\angle 16[/tex]

So, we have:

[tex]\angle 13 = 83^o[/tex]

[tex]\angle 16 = 66^o[/tex]

The following angles are congruent by theorem of corresponding angles.

[tex]\angle 9[/tex] and [tex]\angle 1[/tex]                 [tex]\angle 13[/tex] and [tex]\angle 5[/tex]                      [tex]\angle 10[/tex] and [tex]\angle 2[/tex]

[tex]\angle 14[/tex] and [tex]\angle 6[/tex]             [tex]\angle 11[/tex] and [tex]\angle 3[/tex]                     [tex]\angle 15[/tex] and [tex]\angle 7[/tex]

[tex]\angle 12[/tex] and [tex]\angle 4[/tex]               [tex]\angle 16[/tex] and [tex]\angle 8[/tex]

So, we have:

[tex]\angle 1 = 97^o[/tex]

[tex]\angle 4 = 114^o[/tex]

[tex]\angle 6 = 97^o[/tex]

[tex]\angle 7 = 114^o[/tex]

[tex]\angle 2 = 83[/tex]

[tex]\angle 3 = 66[/tex]

[tex]\angle 5 = 83^o[/tex]

[tex]\angle 8 = 66^o[/tex]

Read more about corresponding and vertical angles at:

https://brainly.com/question/14209455

Answer:

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

Step-by-step explanation:

The equation of the line is;

2(x - 3) - 6y = 10

Placing the line in slope intercept form we get;

6y = 2x - 6 - 10

6y = 2x - 16

Dividing throughout by 6 we get;

y = [tex]\frac{2}{6}[/tex]x - [tex]\frac{16}{6}[/tex]

Simplifying gives;

y = [tex]\frac{1}{3} x +2 \frac{2}{3}[/tex]

So the slope of this line = [tex]\frac{1}{3}[/tex]

Answer:

B.

Explanation:

π ≈ 3.142

22/7 ≈ 3.143

square root of ten ≈ 3.162

Answer:

5.4ft²

Step-by-step explanation:

Area of yellow region

= area of square - area of circle

Area of square= side ×side

Area of circle= πr²

5ft is the length of a side of the square, as well as the diameter of the circle.

Diameter= 2 ×radius

Radius or circle, r

= 5 ÷2

= 2.5 ft

Area of yellow region

= (5 ×5) - π(2.5²)

= 25 -6.25π

= 5.4 ft² (to nearest tenth)

Answer:

50

Step-by-step explanation:

(I may be wrong)

I divided 75 km by 1.5

Answer: 50

Step-by-step explanation:

S=D÷T. So, The distance is 75 km and the time is 1.5 hours then 75÷1.5=50. 50 is the speed of the car

Answer:

x > 12

Step-by-step explanation:

Step 1: Subtract 8 from both sides

[tex]\frac{1}{4}x[/tex] + 8 - 8 > 11 − 8

[tex]\frac{1}{4}x[/tex] > 3

Step 2: Multiply both sides by 4.

(4) ([tex]\frac{1}{4}x[/tex]) > (4) (3)

x > 12

Hope it helps

Answer:

Step-by-step explanation:

If M(-1, 4) is midpoint of AB then:

[tex]x_M-x_A=x_B - x_M\qquad\quad\ \wedge\qquad y_M-y_A=y_B - y_M\\\\ -1-(-3)=x_B-(-1)\qquad\wedge\qquad -4-(-7)=y_B -(-4)\\\\ -1+3=x_B+1\qquad\qquad\wedge\qquad\ \ -4+7=y_B+4 \\\\ {}\qquad x_B=1\qquad\qquad\wedge\qquad\qquad \ y_B=-1[/tex]

Answer:

-3

Step-by-step explanation:

-5 is greater than -8, so in order for a subtraction problem to give a higher number is if it is negative, because a negative negative is a positive.

-8--3=-5

This is another way of saying

-8+3=-5

Answer:

$41.48

Step-by-step explanation:

From the information given, you know that the price that the bookstore pays for a book is marked up 35% and that the selling price of a book is $56, so to be able to find the amount that the bookstore paid for a specific book, you can write the following equation:

x+0.35x=56, where x is the price the bookstore paid for the book.

Now you can solve for x:

1.35x=56

x=56/1.35

x=41.48

According to this, the bookstore paid $41.48 for this book.

Answer:

61.3

Step-by-step explanation:

two vertical angles add up to 180°

so (x+3)+(2x+7)=180°

open brackets & collect like terms

x+3+2x-7=180°

3x+-4=180°

3x=184°

x=61.3 after dividing by 3 on both sides

Answer:

Step-by-step explanation:

Rational number between 9.5 and 9.7:

Irrational number between 9.5 and 9.7

Let's find 9.5^2, 9.6^2 and 9.7^2:

One of the numbers could be √91, it is not a perfect square.

Approximate value:

Answer:

(-4, 0)

Step-by-step explanation:

midpoint formula: (x₁ + x₂) / 2 , (y₁ + y₂) / 2

(-5, 3) & (-3, -3)

(-5 - 3) / 2 , (3 - 3) / 2

-8/2 , 0/2

(-4, 0)

Answer:

The Answer is: C.120

Answer:

∠ RST = 120°

Step-by-step explanation:

∠ RST = ∠ RSU + ∠ UST , substitute values

6x + 12 = 78 + 3x - 12

6x + 12 = 3x + 66 ( subtract 3x from both sides )

3x + 12 = 66 ( subtract 12 from both sides )

3x = 54 ( divide both sides by 3 )

x = 18

Thus

∠ RST = 6x + 12 = 6(18) + 12 = 108 + 12 = 120°

Answer:

A

Step-by-step explanation:

two times a quantity of number_ 2y

minus twelve-. 2y - 12

Answer: A

Step-by-step explanation:

Answer:

585m

Use the Pythagoreas' Theorem.

You will get the answer 585. Hope this helps!

Answer:

585m

Step-by-step explanation:

Answer gotta be 585m.

Answer:

7y(x^49)

Step-by-step explanation:

Answer:

Whats X and what y

Step-by-step explanation:

Answer:1 1/4

Step-by-step explanation:

if u add all together in decimals it will become 1.125.

pls give me brainless

Answer:

I think it's an obtuse scalene.

Step-by-step explanation:

Answer:

272E

Step-by-step explanation:

Answer:

It will take 125 minutes or 2 hours and 5 minutes.

Step-by-step explanation:

We can use a proportion.

7 pages is to 5 minutes as 175 pages is to x minutes

7 : 5 = 175 : x

7/5 = 175/x

7x = 5 * 175

7x = 875

x = 125

It will take 125 minutes or 2 hours and 5 minutes.

Answer:

7 + x + x= 7

Step-by-step explanation:

(7+8) + -8 = 7

Answer:

Step-by-step explanation:

Answer:

1.3 The 3 goes on continuonsly

Step-by-step explanation:

Answer:

1.a part, share, or number considered in comparative relation to a whole.

1/3 = 2/6

2.If a proposition is true, then we say it has a truth value of "true"; if a proposition is false, its truth value is "false". For example, "Grass is green", and "2 + 5 = 5" are propositions. The first proposition has the truth value of "true" and the second "false".

3.

Don't confuse cross multiplication with cross cancellation. You use cross cancellation to make multiplying fractions easier. Set the two cross products equal to each other. 1 · 2 = 2 and 0.5 · f = 0.5f.

Answer:

angle xyb will measure 123 degrees.

Step-by-step explanation:

because we know that angle ayz is 57 degrees and angle xyz is 90, we find that angle xya measures 33 degrees by subtracting 57 from 90. then, we can find angle xyb by subtracting 33 from 180, getting 147 degrees. when we add 147, 33, and 57, we get 237 degrees. finally, we subtract 237 from 360 and get 123 degrees, our final angle. hope this helps:)