Choose the calculation that shows “add 26 to m”. A)

Answers

Answer 1
Answer:

Answer: easy it’s..........

Step-by-step explanation: 26+M


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Which is bigger:
3/8 or 0.38.
Can you tell me how to work it out?please!

Answers

You do 3 x 8 / 100 to work out 3/8 as a decimal. So its 0.24. 0.38 is bigger

The sum of two prime numbers is 8585. What is the product of these two prime numbers?

Answers

8585 is odd, so one of the primes is even and  the other is odd (otherwise their sum would be even). 2 is the only even prime. Thus, second prime is 8585-2=8583. Their product is 8583*2=17166.



The area of a right triangle is 270 m². The height of the right triangle is 15 m. What is the length of the hypotenuse of the right triangle?

Answers

The area of a triangle is calculated by the expression given as:

Area = bh/2

where b is the base and h is the height.

We calculate as follows:

270 = b (15) / 2
b = 36

hypotenuse = sqrt ( 15^2 + 36^2 ) = 39

Answer:

hypotenuse = 39m

Step-by-step explanation:

Area of a triangle= 1/2 * base * height

where base = ?

        height = 15

Plugin values into the formula:

270 = 1/2 base (15)

base = 270 (2)

               15

base = 36

hypotenuse = √(base² + height²)

                    = √( 36² + 15² )

                    = 39

X^{2} +16xy+63y ^{2}

Answers

x^(2) +16xy+63y ^(2) \n = x^(2) +16xy+64y ^(2)-y ^(2) \n = (x+8y)^(2)-y ^(2) \n =(x+8y+y)(x+8y-y) \n =(x+9y)(x+7y)

The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?

Answers

B(cone)=B(pyramid)=r²π
V(pyramid)=1/3 * B * H = 1/3 * r² π * 3 r ( 3 will cancel out )= r³ π
Answer: r³ π
Hello,

base of the pyramid :πr²
height=r

Volume=b*h/3=1/3* π*r^3


What is the slope of the line that passes throught the pair of points (1, 7) and (10, 1)?a. 3/2
b. -2/3
c. -3/2
d. 2/3

8. What is the slope of the line that passes through the points (-5.5, 6.1) and (-2.5, 3.1)?

a. -1
b. 1
c. -3
d. d

9. what is the slope of the line that passes through the pair of points (-7/3, -3) and (-5, 5/2)?

a. 6/22
b. -6/22
c. 22/6
d. -22/6

Answers

Answers
1) b. -2/3
2) a. -1
3) -33/16 (no correct answer from the choices)

Explanation
The slope of a line is simply the gradient.
The gradient is the ratio of change in y to change in x.
Gradient = (y2-y1)/(x2-x1)

Question 1
Slope =((7-1))/((1-10) )=6/(-9)=-2/3

Question 2
Slope = (6.1-3.1)/(-5.5—2.5)=3/(-3)=-1

Question 3
Slope = (5/2—3)/(-5—7/3)=(11/2)/(-8/3)=-33/16

For question 3, there is no correct answer.  

Answer:

The slope  of the line that passes through the pair of points (1, 7) and (10, 1) is    (-2)/(3)

The slope of the line that passes through the points (-5.5, 6.1) and (-2.5, 3.1) is -1

The slope of the line that passes through the pair of points (-7/3, -3) and (-5, 5/2) is  (-33)/(16)

Step-by-step explanation:

Formula of slope of line (m) : (y_2-y_1)/(x_2-x_1)

Part 1 : Points are (1, 7) and (10, 1)

(x_1,y_1) =(1,7)

(x_2,y_2) =(10,1)

So, using formula

Slope (m) =(1-7)/(10-1)

                =(-6)/(9)

                 =(-2)/(3)

Thus the slope  of the line that passes through the pair of points (1, 7) and (10, 1) is    (-2)/(3)

Part 2:Points (-5.5, 6.1) and (-2.5, 3.1)

(x_1,y_1) =(-5.5,6.1)

(x_2,y_2) =(-2.5,3.1)

So, using formula

Slope (m) =(3.1-6.1)/(-2.5-(-5.5))

                =(-3)/(3)

                 = -1

Thus the slope of the line that passes through the points (-5.5, 6.1) and (-2.5, 3.1) is -1

Part 3 : Points (-7/3, -3) and (-5, 5/2)

(x_1,y_1) =(-7/3,-3)

(x_2,y_2) =(-5,5/2)

So, using formula

Slope (m) =((5)/(2)-(-3))/(-5-((-7)/(3)))

                =((5)/(2)+3)/(-5+(7)/(3))

                =(-33)/(16)

Thus the slope of the line that passes through the pair of points (-7/3, -3) and (-5, 5/2) is  (-33)/(16)