Kate and Riley are reading the same book. Kate reads 1/3 page per minute, and Riley reads 3/4 page per minute. Kate has already read 70 pages, while Riley has read 30 pages. If they both resume reading together, eventually Riley will catch up to Kate.

(please show your working)

a. On what page will that occur?
b.How many minutes have they read when Riley catches up?

Step-by-step explanation:

x1+x2 = (-1-√2)/3 + (-1+√2)/3

= -2/3

(x1) (x2) = (-1-√2)/3 × (-1+√2)/3

= -1/9

the equation :

x² -(-2/3)x + (-1/9) = 0

x² + ⅔ x - 1/9 = 0

Answer:

The slope is -1

Step-by-step explanation:

Slope formula:

In (9,-9):   9 is x1 and -9 is y1

In (1,-1):      1 is x2 and -1 is y2

m= y2-y1/x2-x2

m= -1+9/1-9

Which is 8/-8

Simplify:

-1

The slope is -1

Hope this helps!

Answer:

-1

Step-by-step explanation:

To find slope, take the two points and find the RISE/RUN, which is y-y/x-x. Stay consistent with how you order the numbers. In this case, I'll do -1 -(-9) / 1 - 9. That will give you 8/-8, which when simplified gives you -1.

Answer:19

Step-by-step explanation:

Answer:

<A is not congruent to angles B or C

Step-by-step explanation:

AB ~AC Given

<B ~ <C isosceles Triangle Theorem

The length of the side AB and AC will be congruent with each other. Then the triangle ΔABC will be an isosceles triangle.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

In triangle ΔABC, then the length of the side AB and AC will be congruent to each other.

AB = AC

Then the triangle ΔABC will be an isosceles triangle.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(-x^2-3*x)=0  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  fx + x2 + 3x  =   x • (f + x + 3)  

Equation at the end of step

2

:

 x • (f + x + 3)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x = 0  

 Solution is  x = 0

Equation of a Straight Line

3.3     Solve   f+x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

 f-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000  

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -2.000/2.000 = -1.000  

Geometric figure: Straight Line

 Slope = -2.000/2.000 = -1.000

 x-intercept = -3/1 = -3.00000

 f-intercept = -3/1 = -3.00000

x = 0

Answer:

you can brows this question easily

Answer:

i'd say C, reason being is because the origin is not directly on the point, so the dilation moves up 1.5

Step-by-step explanation:

Answer:

(2+3y=12) that is the simplify form

Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

hope it helps!

Answer:

C- 10+x=14

Step-by-step explanation:

Answer:

1 9/16 square feet  or 1.5625 square feet

Step-by-step explanation:

Area of a rectangle is Length x Width

First convert 2 1/2 into a number that is just a fraction.

2 = 4/2  so 4/2 + 1/2 = 5/2

Now you can multiply the two fractions to find the area.

area = 5     5       25

          --  x  --   = -----

          8      2       16

To simplify this, you know 16/16 = 1  so subtract 16 from the numerator which leaves 9/16

Your answer will be 1 and 9/16

No entiendo cuál es la pregunta, ¿qué son los conjuntos? si es la respuesta es ........

En matemáticas, un conjunto es una colección de elementos. Los elementos que componen un conjunto pueden ser cualquier tipo de objeto matemático: números, símbolos, puntos en el espacio, líneas, otras formas geométricas, variables o incluso otros conjuntos. El conjunto sin elemento es el conjunto vacío; un conjunto con un solo elemento es un singleton.

Answer:

c) 25%

Step-by-step explanation:

135÷540=0.25

so 25%

Answer:

(x−1)(x+2)(x+2)

Step-by-step explanation:

x2(x−1)+4x(x−1)+4x−4

x3+3x2−4

=(x−1)(x+2)(x+2)

Answer:

( x - 1 ) ( x + 2 )²

Step-by-step explanation:

→ Factor out 4x - 4

4 ( x - 1 )

→ Rewrite

x² ( x - 1 ) + 4x ( x - 1 ) + 4 ( x - 1 )

→ Factor out x - 1

x - 1 ( x² + 4x + 4 )

→ Factor the quadratic inside

( x - 1 ) ( x + 2 )²

Answer:

in 2019, $36 465.19

in 2021, $40 202.87

Step-by-step explanation:

2015 is $30 000 per year

if it is increased by 5% every year

then,

in 2019, her salary will be $30 000 x (1.05)^4 = $36 465.19

in 2021, her salary will be $30 000 x (1.05)^6 = $40 202.87

Step-by-step explanation:

$52.45

49.95×.05

then add that result to 49.95= answer

Answer:

Step-by-step explanation:

∠K = ∠c

∠K = 3x - 5

∠K + ∠M + ∠L = 180 {angle sum property of triangle}

3x -5  + 40 + 2x = 180

3x + 2x - 5 + 40 = 180

  5x + 35 = 180

         5x = 180 - 35

         5x = 145

           x = 145/5

x = 29

Answ

tep-by-step explanation:

Answer:

180

Step-by-step explanation:

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \:3 \: \frac{1}{4} \: \: hours \: = \: \frac{13}{4} \: hours\: \\ [/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: \frac{13}{4} \: hours \: \: = \: 3.25 \: hours \\ [/tex]

[tex] \Large\begin{gathered} {\underline{\boxed{ \rm \: {\purple{1 \: hour \: = \: 60 \: minutes}}}}}\end{gathered}[/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: 3.25 \: hours \: = \: 3.25 \: \times \: 60[/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: 3.25 \: hours \: = \: \:{{ \large{ \orange{ \rm{{195 \: minutes}}}}}} [/tex]

Answer:

2n

Step-by-step explanation:

the output will be 2n

please brainliest

Answer:

35. Domain is -∞,∞ Range is y=0.

Step-by-step explanation:

No solution.

Answer:

52

Step-by-step explanation:

62-10

Answer:

umm?

Step-by-step explanation:

You just uhh explained the pythagorean theorem formula

[tex]a^{2} + b^{2} = c^{2}[/tex]

but what's the question?

Answer:

46, 57 , 67

Step-by-step explanation:

Acute scalene triangle : A triangle in which all three angles are less then 90 degrees and all three angles are different measurements .

have a good day

Answer:

-2/4 can be written as -6/12

in negetive integers:: if the numerical vallues goes on increasing then the numbers are in decreasing order

so, -6/12 > -7/12

but 6/12 < 7/12

hope you understood

brainliest plz

Answer:

Step-by-step explanation:

To compare both fractions should have same denominator.

LCM of 4 and 12  is 12

[tex]\dfrac{-2}{4}=\dfrac{-2*3}{4*12}=\dfrac{-6}{12}[/tex]

[tex]\dfrac{-6}{12} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\\dfrac{-2}{4} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\[/tex]

Answer:

64 miles per hour

Step-by-step explanation:

512 divided by 8 equals 64

Answer:

jkb jhb n

Step-by-step explanation: