Find the values of x and z

Answer:

(2, 0)

Step-by-step explanation:

First we need to get the equation of the line passing through the points (3, 1) and (–5, –7)

Equation of a line is y = mx+c

m is the slope

m = y2-y1/x2-x1

m = -7-1/-5-3

m = -8/-8

m = 1

Substitute m = 1 and the point (3, 1) into the equation y = mx+c and get c;

1 = 1(3) + c

1 = 3 + c

c = 1-3

c = -2

The required equation is y = x - 2

We are to look for the coordinate point (x,y) for which both lines intersects, then both equations will be equal as shown;

0.5x - 1 = x - 2

0.5x - x = -2+1

-0.5x = -1

x = -1/-0.5

x = 2

Substitute x = 2 into y = x - 2

y = 2-2

y = 0

Hence the the coordinate point is (2, 0)

Answer: (2,0)

Step-by-step explanation: Because I just took the Unit Test and got 100% on it.

Answer:

Step-by-step explanation:

If is an isosceles triangle, ​with base AC, AB = 3x+2, BC = 7x-6, and AC = 10x – 10, find the value of x and the length of each side of the triangle.

The sum of angles in a triangle = 180°

AB + BC + AC = 180°

3x + 2 + 7x - 6 + 10x - 10 = 180°

20x -14 = 180°

20x = 180° + 14

20x = 194

Answer:

4b=x3(76)+10

Step-by-step explanation:

Answer:

7.5kg

Step-by-step explanation:

Given that:

Monday:

Mass of sand = 24 kg

Mass of cement = 5 kg

Tuesday :

Mass of sand = 36 kg

Let mass of cement = c

Mass of cement required to make the same type of mortar mix

Mass of Sand = mass of cement

24kg = 5kg

36kg = c

By cross multiplication :

24 * c = 5 * 36

24c = 180

Divide both sides by 24

c = 180 / 24

c = 7.5 kg

Hence mass of cement required is 7.5 kg

Answer:

plot it at -2

Step-by-step explanation:

it literally tells you where to put it?

hope this helps <3

Answer:

Negative 2

Step-by-step explanation:

negative 2, is below sea level. So on a vertical number line, it will be below rather zero, on -2.

Answer: 12

Step-by-step explanation:

Answer: 2 and 3, 150, continued its journey

Step-by-step explanation:

Answer:

Step-by-step explanation:

7x - 2(7x - 9) = 2(-6x + 4)                      Remove the brackets on both sides.

7x - 14x + 18 = -12x + 8                         Combine like terms

-7x + 18 = -12x + 8                                Add 12x to both sides

-7x+12x + 18 = 8                                   Combine like terms on the left

5x + 18 = 8                                           Subtract 18 from both sides

5x = 8 - 18

5x = -10                                                Divide by 5

x = - 10/5

x = - 2                                                                                                                                                                                                                                                     Proof

LHS

7*-2 -2(7*-2 - 9)                                                                                                      -14 - 2*(-14 - 9)                                      

-14 -2 (-23)

-14 + 46

32

RHS

2(-6*-2 + 4)

2(12 + 4)

32

Answer:

Step-by-step explanation:

its the first one

an=4n

It’s the first one! an = 4n :)

Answer:

x ≈ 27.2

Step-by-step explanation:

Using the sine ratio in the right triangle

sin54° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{22}{x}[/tex] ( multiply both sides by x )

x × sin54° = 22 ( divide both sides by sin54° )

x = [tex]\frac{22}{sin54}[/tex] ≈ 27.2 ( to the nearest tenth )

Answer:

..

x = 86

y = 94

z = 54

........

Answer:

The answer is "138.10"

Step-by-step explanation:

Let r also be cone base radius and h = the cone height.  

The radius for the original circle was on either side of the cone plied together = 7.  

The hypotenuse is 7, as well as a right triangle, is formed. So:

[tex]\to h^2+r^2 = 49\\\\ \to r^2 = 49-h^2[/tex]

Calculating the volume of the cone:

[tex]V = (\frac{1}{3}) \pi r^2 h \\\\[/tex]

   [tex]= (\frac{1}{3}) \pi (49 -h^2) h\\\\= (\frac{1}{3}) \pi 49h -h^3\\\\[/tex]

[tex]V'(h) = (\frac{1}{3}) \pi 49 - 3h^2\\\\[/tex]

Setting the derivative to zero and solving for h^2:

[tex]49-3h^2 = 0 \\\\ h^2 = \frac{49}{3} \\\\ r^2 = 49-\frac{49}{3} \\[/tex]

    [tex]= \frac{ 147 -49}{3} \\\\= \frac{98}{3} \\\\[/tex]

Calculating the maximum volume:

[tex]= \frac{1}{3} \pi \frac{98}{3} \frac{7\sqrt{3}}{3} \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= 138.10[/tex]

Answer:

1/3= 5/15

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4/6÷1/6=4

.........

Answer:

2/3÷1/6

2/3×6/1

2/1×2/1

4 is the answer

Step-by-step explanation:

when it is division in fraction we will take reciprocal of it

Answer:

use this formula, you will get the answer

Step-by-step explanation:

√(x2-x1)²+(y2-y1)²

Answer:

RS ≈ 5.39

Step-by-step explanation:

Calculate the length using the distance formula

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

with (x₁, y₁ ) = R(- 2, 6) and (x₂, y₂ ) = S(- 4, 1)

RS = [tex]\sqrt{(-4+2)^2+(1-6)^2}[/tex]

     = [tex]\sqrt{(- 2)^2+(-5)^2}[/tex]

     = [tex]\sqrt{4+25}[/tex]

      = [tex]\sqrt{29}[/tex]

      ≈ 5.39 ( to 2 dec. places )

Answer: 70% i think

70% * 2400 = 1680

Answer:

No

Step-by-step explanation:

put like terms on either side

3x-5 = 4 + 2x

subtract both sides by 2x

x - 5 = 4

add both sides by 5

x=9

so no x=-3 is NOT a solution.

please give thanks :)

and brainliest :D

Answer:

hi

Step-by-step explanation:

Answer:16 and 1/2 feet

Step-by-step explanation:

Answer:

I think the answer is 35x⁴-10

Step-by-step explanation:

3x × 4x=12x²

3x × 5=15x

2 × 4x=8x

2 × -5=-10

15x+8x=23x²

12x²+23x²=35x⁴

35x⁴-10

Answer:

28.6%

Step-by-step explanation:

Fraction: 40/140=2/7=0.2857

Converting it to percentage: 28.6%

Hope this helps!

Answer:

28.6%

Step-by-step explanation:

Try to found the wrong upper case I

I    ll    iiiiiIIIIIIllllll

hint 50-2=

put in comments plz

I seoursly took a photo of dat

Answer:

b = 48 yards

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Leg a = x

Leg b = 64

Hypotenuse c = 80

Step 2: Solve for x

Answer:

(3/2, 7/2)

Step-by-step explanation:

Given the system of equations;

y = 3x/2 + 5/4..... 1

-2x + 8y = 25 .... 2

Substitute equation 1 into 2;

From 2;

-2x + 8y = 25

-2x + 8(3x/2 + 5/4) = 25

-2x + 12x + 10 = 25

10x = 25 - 10

10x = 15

x = 15/10

x = 3/2

Substitute x = 3/2 into equation 1

From 1;

y = 3x/2 + 5/4

y = 3/2(3/2) + 5/4

y = 9/4 + 5/4

y = 14/4

y = 7/2

Hence the solution to the equation is (x, y) = (3/2, 7/2)

Answer:

B/second option

Step-by-step explanation:

The first option is wrong because you make 30 meatballs in 30 mins but then 30 meatballs in 20 mins. If it was constant then in 20 mins you make less meatballs.

The last option is wrong because if bacteria triples, then that is exponential, not constant change.

Only the middle option makes sense. The rate of change is $35 for each hour!

please give thanks by clicking the heart button! :)

The example that has a constant rate of change is

An electrician earns $50 for the first hour plus $35 for every additional hour.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x = 5 is an equation.

We have,

30 minutes = 30 meatballs

20 minutes = 30 meatballs

This is not a constant rate of change.

$35 for every additional hour.

This means,

1 hour = $35

This is a constant rate of change,

Bacteria triples every hour.

This is an exponential function.

Example:

Number of bacteria initially = 2

Number of bacteria after 1 hour = 3 x 2 = 6

Number of bacteria after 2 hours = 3 x 6 = 18

This is not a constant rate of change.

Thus,

An electrician earns $50 for the first hour plus $35 for every additional hour is a constant rate of change.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

x=-3, y=-24

Step-by-step explanation:

solved by substitution

Answer:

Step-by-step explanation:

Given number is 5873.

To calculate the quotient when 5873 is divided by 8 we will use the approximation method.

If 5600 is the number compatible to 5873, where 5873 > 5600

5600 ÷ 8 = 700

If 6000 is the number compatible to 5873, where 5873 < 6000

6000 ÷ 8 = 750

Since, 5600 < 5873 < 6000

Therefore, [tex]\frac{5600}{8}<\frac{5873}{8}<\frac{6000}{8}[/tex]

700 < [tex]\frac{5873}{8}[/tex] < 750

Quotient for 5873 divided by 8 will be greater than 700 and less than 800.