Jackie drove 150 miles on Wednesday. This is
50 miles more than 5 times as far as she drove
on Tuesday. How far did she drive on Tuesday?

Answer:

Step-by-step explanation:

We know

[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]

Now

[tex]\\ \sf{:}\Rrightarrow tanE=\dfrac{FD}{DE}[/tex]

[tex]\\ \sf{:}\Rrightarrow tanE=\dfrac{55}{48}[/tex]

Answer:

x=8

Step-by-step explanation:

(8,-8) so x=8 and f(x)=-8

Evidence points to the Egyptians using gypsum mortar – also known as plaster of Paris – in constructing pyramids during the Pharaonic period. The first Egyptologist to identify this method was Alfred Lucas in 1926.

Answer:

y=x+9/17

Step-by-step explanation:

easy question that's all :) have a great day

Answer:

x = 2

All sides have a measurement of 6.

Step-by-step explanation:

ΔRTS is equilateral. This means that all the sides are equal to each other, as well as the angles being equal as well.

We can set two sides equal to each other to solve for 'x'.

I used ST and RS.

[tex]3x = 2x +2\\\rule{150}{0.5}\\3x - 2x = 2x + 2\\\\\boxed{x = 2}[/tex]

Since we have the value of x, we can plug in 'x' in one of the sides and evaluate.

==========================

[tex]ST =3x\\\rule{105}{0.5}\\ST=3(2)\\\\ST=\boxed{6}[/tex]

==========================

Since the sides are equal in a equilateral triangle, all the sides have the measurement of 6.

Hope this helps you.

RS=RT=ST

[tex]\\ \sf\longmapsto 2x+2=5x-4=3x[/tex]

[tex]\\ \sf\longmapsto 2x+2=3x[/tex]

[tex]\\ \sf\longmapsto 3x-2x=2[/tex]

[tex]\\ \sf\longmapsto x=2[/tex]

We can find all the roots by factoring each polynomials.

Case A :

A = 2x^4 + x^3 + 5x^2 + 4x - 12

1 is an obvious Root of this polynomial :

2 * 1^4 + 1^3 + 5*1^2 + 4*1 - 12 = 12 - 12 = 0

Thus we have A= (2x^3+3x^2+8x+12)(x-1)

Lets go further now by factoring 2x^3 + 3x^2 + 8x + 12

We can simply group them :

(2x^3 + 3x^2) + (8x + 12) =

x²(2x+3) + 4(2x + 3) =

(2x+3)(x²+4)

To conclude : A = (2x+3)(x²+4)(x-1)

So the roots are : 1, -3/2, 2i and - 2i

Case B :

B = 2x^4 - x^3 + 5x^2 - 4x - 12

An obvious root here is -1 :

same principle applies, we write B = (2x^3−3x^2+8x−12)(x+1)

Finally B = (x²+4)(2x-3)(x+1)

And the roots are -1, 3/2, 2i and -2i

Good Luck

Answer:

1. x=2 y=4

or (2,4)

2. x= -1/5, y= 2/5

or (-1/5, 2/5)

3. x= 4/7, y= 30/7

or (4/7, 30/7)

Hope this helped!

Answer:

the number of students in each van : 14

Step-by-step explanation:

a = how many students fit into a van

b = how many students fit into a bus

School A: 4a+7b=448 (1)

School B: 9a+14b=910 (2)

(1) => b = (448-4a)/7

subs to (2) => 9a+ 2(448-4a) = 910

=> a = 14

=> b =56

Answer:

504

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

[tex]8x - 4 + 9x + 4 + 4x + 17 = 374 \\\ 21x + 17 = 374 \\\ 21x = 374 - 17 \\\ 21x = 357 \\\ x = \frac{357}{21} \\\\\\ x = 17[/tex]

I hope I've helped you.

Answer:

Step-by-step explanation:

The points where a graph crosses the x-and y- axis are called the Origin.

Answer:

85 cm^2

Step-by-step explanation:

Answer:

Think the answer is 3a. Hope that helped.

Since 3a is common to both factors, hence the GCF of the expressions is 3a

This is the greatest value that can divide the given values without leaving remainder.

Given the following expressions 12a and 9a^2

Find the factors

12a = 3 * 4 * a

9a^2 = 3 * 3 * a * a

Since 3a is common to both factors, hence the GCF of the expressions is 3a

Learn more on GCF here: https://brainly.com/question/219464

#SPJ9

Answer:

1.34 is the answer so 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The exact answer is 1.34

because 3 is less than 5 you round down

therefore the answer is 1.

Step-by-step explanation:

3y = -2x + 1

y = -2/3x +1/3

y=mx+c

comparing

m= -2/3

c=1/3

Answer:

m: -2/3

c= 1/3

Step-by-step explanation:

[tex] \: \: \: \: \: [/tex]

[tex]64449866502 \\ \\ in \: \: alternate \: \: form \: \\ \\ 6.4449866502 \times 1 {0}^{10} [/tex]

Step-by-step explanation:

[tex](320646102) \times (201)[/tex]

[tex] = 64449866502 \\ \\ in \: \: alternate \: \: form \: \: \\ \\ 6.4449866502 \times 1 {0}^{10} [/tex]

[tex] \: \: \: \: \: \: [/tex]

The product of the matrices is given below.

[tex]\left[\begin{array}{ccc}6\\18\\4\end{array}\right][/tex]

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The  element in a matrix, such as M, refers to the i-th row and j-th column element.

here, we have,

The matrices are given below.

[tex]\left[\begin{array}{ccc}3&2&0\\6&4&6\\1&0&2\end{array}\right][/tex]  and [tex]\left[\begin{array}{ccc}2\\0\\1\end{array}\right][/tex]

now, we get,

The product of the matrices will be

[tex]\left[\begin{array}{ccc}3&2&0\\6&4&6\\1&0&2\end{array}\right][/tex]  × [tex]\left[\begin{array}{ccc}2\\0\\1\end{array}\right][/tex]

Thus, the product of the matrices is given below.

[tex]\left[\begin{array}{ccc}3&2&0\\6&4&6\\1&0&2\end{array}\right][/tex]  × [tex]\left[\begin{array}{ccc}2\\0\\1\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}6\\18\\4\end{array}\right][/tex]

Hence, The product of the matrices is given below.

[tex]\left[\begin{array}{ccc}6\\18\\4\end{array}\right][/tex]

More about the matrix link is given below.

brainly.com/question/9967572

#SPJ7

Answer:

-2y^-2

Step-by-step explanation:

https://www.symbolab.com/solver/simplify-calculator/simplify%20%5Cleft(8x%5E%7B2%7Dy%5E%7B-1%7D%5Cright)%5Cdiv%5Cleft(-4x%5E%7B2%7Dy%5Cright)?or=input

Answer:The volume of a spherical balloon that has radius r

Step-by-step explanation:

your welcome

Answer:

Step-by-step explanation:

Find the slope using two points on the line:

Use slope formula:

Answer:

9/100

Step-by-step explanation:

% = over 100

9% = 9/100

Answer:

9/100

Step-by-step explanation:

Answer:

C. x = 2

Step-by-step explanation:

2x + 1 = x + 3

subtract the x from both sides so

2x + 1 = x + 3

-x        -x

when we subtract the x we are left with x + 1 = 3

since we want x alone we have to subtract 1 from both sides so

x + 1 = 3

   -1    -1

3 - 1 = 2 so

x = 2

Answer:

The opposite of -3 5/8 is on the right (or opposite) side of zero on the number line as -3 5/8. The opposite of 4 2/9 is on the left (or opposite) side of zero on the number line as 4 2/9.

Step-by-step explanation:

hope this helps. . .<3

good luck!    UwU

Answer:9c+63

Step-by-step explanation:

Answer:

They are not congruent based on the drawing. I don't know what they mean by "do they have to be congruent?", as they don't have to be congruent unless the teacher is asking for them to be congruent.

Step-by-step explanation:

Congruency in geometry is defined as identical in form, meaning that it must follow CPCTC (and can be proven in many different ways).

In the case of the given triangles they are not congruent, as DE and AD do not share congruency with BA and CB, respectively. At best, the two given triangles are similar triangles, as ΔADE is a 2x scale factor of ΔCBA.

I am not sure what the question about "do they have to be congruent" is for. Obviously they aren't congruent and so they don't have to be? There is nothing that states they have to be congruent. If you are aiming for congruency, lines AB & CB's measurements would simply have to match that of ED & AD, respectively.

~

Answer:

The relationship we found is that:

But this doesn't indicate the triangles are congruent. They have different side lengths which makes them similar but not congruent.

They can be congruent if corresponding sides are of same length.

Answer:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

89000

Step-by-step explanation:

Answer:

8.9 × 10^4

Step-by-step explanation: I hope I am wright have a good day :)

Answer:

Step-by-step explanation: I cant understand any words can you send more pictures

Answer:

$16

Step-by-step explanation:

Answer:

x=-2,5

Step-by-step explanation:

2x-3=7

2x-3=-7

x=-2,5