Find the slope of the line that passes through (2, 12) and (5, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer:

x = 15

Step-by-step explanation:

AB + BC = AB

3x+5  + 2x+8 = 88

Combine like terms

5x +13 = 88

Subtract 13 from each side

5x+13-13 = 88-13

5x = 75

Divide each side by 5

5x/5 = 75/5

x = 15

Answer:

15

Step-by-step explanation:

AB + BC = AB

3x + 5 + 2x + 8 = 88

5x + 13 = 88

5x = 88 - 13

= 75/5

= 15

Hope this helps!

Answer: 1,666,666.666666667

Answer:

9.54 cm

Step-by-step explanation:

In triangle ABD, AD is the hypotenuse (longest side)

We know that according to Pythagoras theorem,

a^2+b^2=c^2

In the figure, c (10cm) and a (5cm) is given. So,

(5)^2 + b^2 = 100

25+b^2 = 100

b^2 = 75

So b is √75 = 8.66

Therefore BD is 8.66 cm

Now even BDC is a triangle

In it, the hypotenuse is missing but we know the value of other sides

so, in Pythagorean theorem,

a=4 (CD)

b=8.66 (BD)

c=x

Therefore,

(4)^2 + (8.66)^2 = x^2

16+74.99= x^2

x^2 = 90.99

x= 9.54 cm

Hope this helps!

Answer:

more ... The same shape and size, but we are allowed to flip, slide or turn. In this example the shapes are congruent (you only need to flip one over and move it a little). Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.

Step-by-step explanation:

happy to help ya:)

Answer:

Congruent means two or more objects that are the same. All angles and sides have to be the same length and measure.

Step-by-step explanation:

congruent means equal two

Answer:

It has no real solutions.

Step-by-step explanation

Once you calculate the discriminant,  D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.

Answer:

No solutions

Step-by-step explanation:

Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.

Use b^2 - 4ac to find the discriminant.

-10^2 - 4(8)(15) = -580

If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0

Therefore, there are no real solutions

Answer:

The measurement of ∠3 is 135°

Step-by-step explanation:

In the problem, we are given a measurement. The measurement of ∠1 is 135°. We are asked to find the measurement of ∠3.

∠1 and ∠3 are corresponding angles. This means that they will have the same measurements.

So, if m∠1 is 135° then the m∠3 is also 135°

Answer:

m∠=135°

Step-by-step explanation:

These lines are parallel lines, which is indicated by the two arrows towards the right of the lines.

Since these lines are parallel, corresponding angles, such as ∠1 and ∠3 can exist.

Corresponding angles are congruent, which means they have the same measure.

∠1 and ∠3 are corresponding angles, therefore

∠1=∠3

We know that the measure of ∠1 is 135 degrees. Therefore, ∠3 will also have a measure of 135 degrees.

135=∠3

The measure of ∠3 is 135 degrees.

Answer:

150 pennies were lost altogether

Step-by-step explanation:

Let the initial number of pennies owned by Dante be x pennies

Let the initial number of pennies owned by Mia be y pennies

Mathematically ;

x + y = 350 •••••••(i)

So after losing half, dante will have x/2 pennies left.

Mia lost 1/3 so she will have 2/3y left

So after all the losses, they both had equal amount of pennies

This means that;

x/2 = 2y/3

Cross multiply;

3x = 4y •••••••(ii)

Let’s solve both equations simultaneously;

From i , x = 350-y

Substitute this into equation ii

3(350-y) = 4y

1050-3y = 4y

7y = 1050

y = 1050/7

y = 150

since x = 350-y

x = 350-150 = 200

Now Dante loss x/2 = 200/2 = 100

Mia lost 1/3y = 1/3 * 150 = 50

Total pennies lost = 100 + 50 = 150

Answer:

n = 5

Step-by-step explanation:

0A = (1,3,-1) and OD=(-1,0,n)

AD = √ (-1-1)^2 + (0-3)^2 + (n-(-1))^2

7 = √ (-2)^2 + (-3)^2 + (n+1)^2

7 = √4 + 9 + (n+1)^2

Now squaring both sides we have :

7^2 = (√4 + 9 + (n+1)^2)^2

49 = 4 +9 + (n+1)^2

49 = 13 + (n+1)^2

49 -13 = (n+1)^2

36 = (n+1)^2

Taking the square root of both sides we have :

√36 = √(n+1)^2

6 = (n+1)

6 = n + 1

6 - 1 = n

5 = n

Therefore n = 5

Answer:

He saves £133 every week

Answer:

-55/8, 61/8, x=47/24

Step-by-step explanation:

not sure if you meant f(25/6) or f(2 5/6), I just assumed it was the second one

but basically just sub in the value into the eqn given

Answer:

Step-by-step explanation:

If two variables, x and y have a direct variation, it means that an increase in x would lead to a corresponding increase in y. A decrease on x would lead to a corresponding decrease in y.

Therefore, we would compare the scenarios to determine which is not a direct variation. The correct option is

d) Time taken will be less if number of workers are increased to complete the same work.​

The rest are direct variation scenarios

Answer:

The graph of the function starts high ends low

Step-by-step explanation:

I put the equation into Desmos

[tex]answer \\ 20 \: cm \\ solution \\ volume = 20000 \: {cm}^{3} \\ length = 40 \: cm \\ breadth = 25 \: cm \\ height = \\ now \\ v = l \times b \times h \\ \: \: \: \: \: \: or \: 20000 = 40 \times 25 \times h \\ or \: 20000 = 1000 \times h \\ or \: h = \frac{20000}{1000} \\ h = 20 \: cm \\ hope \: it \: helps[/tex]

Answer:

[tex]20cm[/tex]

Step-by-step explanation:

[tex]volume = length \times width \times height \\ 20000= 40 \times 25 \times h \\ 2000 0= 1000h \\ \frac{20000}{1000} = \frac{1000h}{1000} \\ h = 20[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

So to get the answer we need to find both of the rays. So first we need to find the end points for the horizontal one. That would be D and E for the horizontal. Those are points, do the same for the diagonal one. AC would be it. AC and DE would be the answer

Answer:

See below.

Step-by-step explanation:

From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2  sets of base angles are equal.

As the base angles are congruent  m < E = m < R.

So the are  2 triangles are congruent by SAS,  ASA and AAS.

Answer:

mean = 6.15

variance = 4.637

standard deviation = 2.15

Step-by-step explanation:

It is given that 75.4% of women aged 20-24 have never been married.

We are interested in finding the mean, variance and standard deviation for the number who are or who have been married.

So the percentile of women who have been married is given by

[tex]p = 1 - 0.754 \\\\ p = 0.246 \\\\q = 1 - p \\\\q = 1 - 0.246 \\\\q = 0.754[/tex]

The mean is given by

[tex]mean = n\times p[/tex]

Where n is the sample size

[tex]mean = 25\times 0.246 \\\\mean = 6.15[/tex]

Therefore, the mean is 6.15

The variance is given by

[tex]variance = n \times p \times q \\\\variance = 25 \times 0.246 \times 0.754 \\\\variance = 4.637[/tex]

Therefore, the variance is 4.637

The standard deviation is given by

[tex]standard \: deviation = \sqrt{variance} \\\\standard \: deviation = \sqrt{4.637} \\\\standard \: deviation = 2.15[/tex]

Therefore, the standard deviation is 2.15

Answer:

AC=22

AB=11

BC=33

Step-by-step explanation:

[tex]2(3x - 4) = 2x + 12 [/tex]

6x-8=2x+12

12+8=6x-2x

20=4x

x=5

∴AC=2(5)+12=22

∴AB=3(5)-4=11

∴BC=7(5)-2=33

Answer:

Right, Scalene (D and E)

Step-by-step explanation:

One side of the triangle contains a right angle, therefore it is a right triangle

the three sides are all different lengths from each other, making it scalene

Answer:

D. Right

E. Scalene

Step-by-step explanation:

Definitions

Acute: A triangle whose angle measure are all acute angles.

Equilateral: A triangle with all the same side lengths and angle measures.

Obtuse:  A triangle with one obtuse angle and two acute angles.

Right: A triangle who has a right angle and two acute angles.

Scalene: A triangle whose sides are all different lengths

Isosceles: A triangle who has 2 sides the same length and the other different.

Our triangle fits the descriptions of the right triangle and scalene triangle.

Answer:

z, y and x

Step-by-step explanation:

Now, to answer this question, what we must know is that the side facing the largest angle is the largest while the side facing the smallest is the smallest.

What i’m saying in essence is that the bigger the angle faced, the larger the side.

Now since we have 3 angles in a triangle that adds up to 180

we have 27 and 48 already, the third side would be 180-27-48 = 105

So which side faces which angle?

Let’s have a diagrammatic representation of the said triangle.

Check this in the attachment please

The longest side is thus z, followed by y and lastly x

The measure of the angle from shortest to longest will be ∠z, ∠y, and ∠x.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given data;

m∠X = 27°

m∠Y = 48°

The sum of the angle of the triangle is 180°

m∠X+m∠Y+m∠Z = 180°

27° +48° + m∠Z  =  180°

m∠Z = 105°

The order of the angle measurement;

m∠Z > m∠Y > m∠X

Hence, the measure of the angle from shortest to longest will be ∠z, ∠y, and ∠x.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

#SPJ5

Answer:

The satisfied table of the given function[tex]y = log_{b} (x)[/tex]

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

Step-by-step explanation:

Explanation :-

Given logarithmic function [tex]y = log_{b} (x)[/tex]   if b >1

Given first table

i)

put x = [tex]\frac{1}{8}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{8} )[/tex]

[tex]y = log_{2} (2^{-3} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3[/tex]

y = -3

ii)

put x = [tex]\frac{1}{4}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{4} )[/tex]

[tex]y = log_{2} (2^{-2} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2[/tex]

y = -2

iii)

put x = [tex]\frac{1}{2}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{2} )[/tex]

[tex]y = log_{2} (2^{-1} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1[/tex]

y = -1

iv)

put x = 1     given b > 1 so we can choose b = 2

[tex]y = log_{2} (1 )[/tex] = 0

y = 0

v)

put x = [tex]2[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (2 )[/tex]

y = 1

Final answer:-

The satisfied table of the given function

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

The first option is correct because that table of values represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].

Given:

The lograrithmic function form is [tex]y=\log_b x,b>1[/tex].

To find:

The table of values that represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].

Explanation:

It is given that [tex]b>1[/tex]. Let [tex]b=2[/tex], then

[tex]y=\log_2 x[/tex]          ...(i)

Substitute [tex]x=\dfrac{1}{8}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{8}[/tex]

[tex]y=\log_2 \dfrac{1}{2^3}[/tex]

[tex]y=\log_2 2^{-3}[/tex]

[tex]y=-3[/tex]

Substitute [tex]x=\dfrac{1}{4}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{4}[/tex]

[tex]y=\log_2 \dfrac{1}{2^2}[/tex]

[tex]y=\log_2 2^{-2}[/tex]

[tex]y=-2[/tex]

Substitute [tex]x=\dfrac{1}{2}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{2}[/tex]

[tex]y=\log_2 2^{-1}[/tex]

[tex]y=-1[/tex]

Substitute [tex]x=1[/tex] in (i), we get

[tex]y=\log_2 1[/tex]

[tex]y=0[/tex]

Substitute [tex]x=2[/tex] in (i), we get

[tex]y=\log_2 2[/tex]

[tex]y=1[/tex]

The table of values is:

[tex]x[/tex]     [tex]y[/tex]

[tex]\dfrac{1}{8}[/tex]     [tex]-3[/tex]

[tex]\dfrac{1}{4}[/tex]     [tex]-2[/tex]

[tex]\dfrac{1}{2}[/tex]     [tex]-1[/tex]

[tex]1[/tex]     [tex]0[/tex]

[tex]2[/tex]     [tex]1[/tex]

Therefore, the first option is correct.

Learn more:

https://brainly.com/question/7975040

Answer:

1800 is the original cost

Step-by-step explanation:

cost + 11% cost = 1998

Factor out the cost

cost *( 1+11%) = 1998

cost ( 1.11) = 1998

Divide each side by 1.11

cost = 1998/1.11

cost =1800

Answer:

7x^2+5x-12

Step-by-step explanation:

(6x^2+5x-3)+(x^2-9)

Combine like terms

(6x^2+ x^2+5x-3-9)

7x^2+5x-12

Answer:

x=4

Step-by-step explanation:

x+8=9*(4/3)

x+8=12

x=4

Brainliest plus a thanks?

Answer:

[tex](4x + 11) + (12x + 2) =(4x + 12x) + (2 + 11) = 16x + 13[/tex]

Step-by-step explanation:

Answer = a. 16x+13

Answer:

1

Step-by-step explanation:

Answer:

The answer is A!

Answer:

Since the full percentage of something is 100% thats because 1*100 = 100.

So since it has 40% chance of rain what would 100-40 be? Well it would be 60. So the probability that it will not rain is

f(x)=(x-1)(x+2)(x-2) over all it equals to zero

Answer:

(x-1) (x-2) (x+2)

Step-by-step explanation:

1. Factorice x^2 y -4 de la expresion.

x^2(x-1) -4(x-1)

2. Luego, debemos de factorizar x-1 de la expresion.

(x-1)(x^2 -4)

3. Usando a^2 - b^2= (a-b)(a+b) factorice la expresion.

(x-1) (x-2) (x+2)

Answer:

( 3 +4)² = 7² = 49

Hope this helps.

Answer:

49

Step-by-step explanation:

Follow the PEMDAS rule.

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A-Addition

S-Subtraction

Following this rule, you would add 3+4, which gets you 7.

Then, you would multiply 7 by 7, as that is what the exponent, two suggests

7x7 = 49.

thus,

(3 + 4)² = 49

Answer:

302.5

Step-by-step explanation:

30 x 8

5/8

I hope this helps I'm like 90 percent sure this is right. There is no other answer I could think of so I hope Hope helpa