Write an equation representing the direct variation.
х
-2
3
4.
7
y
5
-7.5
-10
-17.5
1) k =
2)

Answer:

x=10

Step-by-step explanation:

Using Pythagoras theorem

H^2=O^2+A^2

26^2=24^2+A^2

676= 576+A^2

676-576= A^2

100= A^2

square root both sides

10= A

Therefore, x=10

Answer:

16

Step-by-step explanation:

Answer:

5) 6cm 6)J

Step-by-step explanation:

5) 30/7.5=4

24/4=6

6) J=P

K=Q

L=R

M=S

Hello there! ;)

1 is neither prime nor composite.

Prime numbers have 2 factors.

Composite numbers have 3 or more factors.

However, 1 has 1 factor.

Therefore, it's neither prime nor composite.

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

Hi! The correct answer is 7x=-3!

Step-by-step explanation:

~Write in standard form~

Answer:

16

Step-by-step explanation:

128/8 = 16

n= 16

The value of n is equal to 16.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

WE are given an expression as;

8n = 128

We need to find the value of n.

8n = 128

n= 128/8 = 16

n= 16

Hence, the value of n is equal to 16.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Answer:

Step-by-step explanation: D. None of the above

Answer:

(2,-5)

Step-by-step explanation:

Answer:

260 lb

Step-by-step explanation:

180/9=20

13*20=260

Answer:

Step-by-step explanation:

Use the ratio

Simplify

Find the weight x on Earth of the person with weight 13 lb on Mars:

Answer:

The budget for dances is $380

Step-by-step explanation:

If we know that the ratio between student government budget for dance and charity event is 5:7 this means that there is some amount of money that fits 5 times into the student government budget for dance and 7 times into the budget for the charity events. So in order to find what is the value of that among we divide $532.00 by 7, and then multiply that amount by 5 to get the budget for the dance events. So we do........

$532.00 / 7 x 5 = $76 x 5 = $380

Answer:

f= -4x-7/x

Step-by-step explanation:

Answer:

No its not

4km =4000m < 5000m

Step-by-step explanation:

hope it helps

Answer:

5000 meter>4km

Step-by-step explanation:

4km is= 4000meter so 5000 meters i greater than 4km

Answer:

y=7x+5

Step-by-step explanation:

Question:

Sue is thinking of a number 3/8 of 88 = 1/3 of her number

what number is she thinking of

Answer:

[tex]x = 99[/tex]

Step-by-step explanation:

Represent the number with x.

So, we have:

[tex]\frac{3}{8} * 88 = \frac{1}{3} *x[/tex]

Multiply through by 3

[tex]3 * \frac{3}{8} * 88 = \frac{1}{3} *x * 3[/tex]

[tex]3 * \frac{3}{8} * 88 = x[/tex]

[tex]3 * 3 * 11 = x[/tex]

[tex]99= x[/tex]

[tex]x = 99[/tex]

Hence, she is thinking of 99

Answer:

x = 26

Step-by-step explanation:

1. Information

One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.

2. Base of the rectangle

Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.

3. Base of the triangle

Use the Pythagorean theorem;

[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]

Substitute in the given value and solve

[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]

4. Finding x

There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be

x = base_of_triangle + base_of_rectagle + base_of_triangle

x = 8 + 10 + 8

x = 26

Answer:

10

Step-by-step explanation:

To obtain the length of the segment :

a² + b² = c²

a = 8 ; b = 6

8² + 6² = c²

64 + 36 = c²

100 = c²

Square root of both sides :

Sqrt(100) = sqrt(c²)

10 = c

Mistake in the solution is that 6² = 36 and not 12

Answer

Step-by-step explanation:

i dont know but pls dont hate me no one anserd for 15 hours so i took some points

Answer:

3/5

Step-by-step explanation:

The equation of a line is written as

y = mx + b where

m is the slope

b is the y-intercept.

We put the given equation above in that form

10x + 6y = - 84

6y = -10x - 84

Divide both sides by 6

y = -10x/6 - 84/6

y = -5x/3 - 14

y = -5/3x - 14

The slope of this line is -5/3

But we are told that: the slope of the line is perpendicular to the line

Hence: we find the reciprocal of , -5/3

This is = 3/5

Therefore, the slope of a line perpendicular to the line whose equation is 10x + 6y = −84 is 3/5

answer : 240

you do 24 x 10 :)

Answer:

112

Step-by-step explanation:

234:2=117

117+5=122

--->234-122=112

Answer:

Abdullah is 46.8 years old.

Step-by-step explanation:

Umer is 5 years old and the product of their ages is 234 so that means Abdullah is 46.8 years old.

5*46.8 = 234

Answer:

The perimeter of the pentagon is;

29 units

Step-by-step explanation:

Let A, B, C, D, and E represent the vertices of the pentagon

The "x" and "y" coordinates of the vertices of the pentagon are given as follows;

A(-6, 2), B(-2, -2), C(5, -2), D(5, 2), E(-2, 5)

The length of the sides between each pair of coordinates can be found using the following formula;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, we have;

Length of segment AB = √((-2 - (2))² + (-2 - (-6))²) = 4·√2

Length of segment BC = √((-2 - (-2))² + (5 - (-2))²) = 7

Length of segment CD = √((5 - 5)² + (2 - (-2))²) = 4

Length of segment DE = √((5 - 2)² + (-2 - 5)²) = √58

Length of segment EA = √((5 - (2))² + (-2 - (-6))²) = 5

The length of the perimeter of the pentagon = 5+√58 + 4 + 7 + 4·√2 ≈ 29.2726273554 ≈ 29

The length of the perimeter of the pentagon ≈ 29.

A. It will be twice as much as because the height is increased by 2

Answer:

72 spheres are formed

Step-by-step explanation:

We start by calculating the volume of the metallic cylinder

Mathematically, we have this as;

V = pi * r^2 * h

V = pi * 21 * 14^2

V = 4116 π cm^3

The volume of each small sphere is;

V = 4/3 * pi * r^3

= 4/3 * π * 7/2^3 = 57.167 π cm^3

To get the number of small spheres, we simply divide the volumes

That will be 4116 pi / 57.167 pi = 72

Answer:

(3x−27)o

Step-by-step explanation:

we know that

m\angle BEC=m\angle AEDm∠BEC=m∠AED ----> by vertical angles

we have

m\angle BEC=(2x+3)^om∠BEC=(2x+3)o

The value of x is given

x=30

so

m\angle BEC=(2(30)+3)=63^om∠BEC=(2(30)+3)=63o

That means that the measure of angle AED is also 63 degrees

so

The expression that could represent the measure of Angle A E D is

(3x-27)^o(3x−27)o

because

For x=30

(3(30)-27)=63^o(3(30)−27)=63o

Answer:

(3x−27)o

Step-by-step explanation:

Answer:

the answer is: 3, 4

Step-by-step explanation:

those numbers meet in the circle where it supposed to go

the answer is   -2/5 hope this helped

Answer:

16 miles an hour

Step-by-step explanation:

40 / 2.5 = unit rate

Answer:

16

Step-by-step explanation:

40÷2.5=16

So 1 hour is 16 because if you multiply it by 2.5 it is right.

(2×16)+(16×0.5)=40

32+8=40.