what is the distance between -4 and -1

Answer:

x = 3 or x = -2

Step-by-step explanation:

Solve for x over the real numbers:

(x + 2) (x - 3) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

x - 3 = 0 or x + 2 = 0

Hint: | Look at the first equation: Solve for x.

Add 3 to both sides:

x = 3 or x + 2 = 0

Hint: | Look at the second equation: Solve for x.

Subtract 2 from both sides:

Answer: x = 3 or x = -2

Answer:

Vertex: (-3, -1)

Domain: All real numbers or (-∞, ∞)

Range: (-∞, -1]

Step-by-step explanation:

Quadratic Function: f(x) = a(bx - h)² + k

(h, k) is vertex

Step 1: Find vertex

f(x) = -2(x + 3)² - 1

h = -3

k = 1

Vertex = (-3, 1)

Step 2: Graph

When we graph, we should see our domain and range.

Domain is all x-values that can be inputted into the function.

Range is all y-values that can be outputted from the function.

9514  1404 393

Answer:

Step-by-step explanation:

  √24 = 2√6

  √48 = 4√3

Then the sum is ...

  √24 +√48 = 2√6 +4√3

Factoring out √3, we have ...

  = (2√2 +4)√3

Matching this to the form a√b, we have

  (2√2+4)√3   ⇒   a=2√2+4, b = 3

Answer:

Step-by-step explanation:

100 + 100 + 100 + 10 + 10 + 10 + 10 + 5

The question is primarily asking you to use the terms given to get the number given. As there is no rule written for this one, it is easier. Usually, or later on, they may give you a sequence in which you will plug in terms to obtain the results. In cases like that, you must remember to follow PEMDAS.

PEMDAS =

Parenthesis

Exponents & Roots

Multiplication

Division

Addition

Subtraction

& is the order of operation.

~

Answer:  10 × 3 + 4 + 5 × 2 + 1 + 3 × 100

Step-by-step explanation:

10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345

Using PEMDAS, multiply first ... then add/subtract.

30 + 4 + 10 + 1 + 300 = 345

      34 + 10 + 1 + 300 = 345                  

              44 + 1 + 300 = 345

                   45 + 300 = 345      

                           345 = 345            

Answer:

1 1/4 or  5/4 cups of flour

Step-by-step explanation:

7 1/2 divided by 6 equals 1 1/4.

hope this helps you :)

Answer:yes

Step-by-step explanation:

Answer: Choice D.  [tex]6.44 \times 10^{-4}[/tex]

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

Work Shown:

We multiply the coefficients 9.2 and 7 to get 64.4, which is the same as 6.44*10^1 in scientific notation. When multiplying exponential expressions with the same base, we add the exponents

This is what the steps could look like

[tex]\left(9.2 \times 10^{-9}\right)\times\left(7 \times 10^{4}\right)\\\\\left(9.2\times7\right)\times\left(10^{-9} \times 10^{4}\right)\\\\\left(64.4\right)\times\left(10^{-9+4}\right)\\\\\left(6.44\times 10^{1}\right)\times\left(10^{-5}\right)\\\\6.44\times\left(10^{1}\times 10^{-5}\right)\\\\6.44\times\left(10^{1+(-5)}\right)\\\\6.44\times 10^{-4}\\\\[/tex]

The final result is in scientific notation as the coefficient c is restricted such that [tex]0 \le c < 10[/tex]

Answer:

Shown in the picture

[tex]:\implies\bf\:m+n=18\:\longrightarrow\:(I)[/tex]

[tex]:\implies\sf\:2mn=-24\:\longrightarrow\:(II)[/tex]

[tex]:\implies\bf\:mn=-12\:\longrightarrow\:(III)[/tex]

Answer - A :

[tex]:\implies\tt\:\dfrac{5}{3m}+\dfrac{5}{3n}[/tex]

[tex]:\implies\tt\:\dfrac{15(m+n)}{9(mn)}[/tex]

[tex]:\implies\tt\:\dfrac{15(18)}{9(-12)}[/tex]

[tex]:\implies\tt\:-\dfrac{15}{6}[/tex]

[tex]:\implies\:\boxed{\bf{\purple{-\dfrac{5}{2}}}}[/tex]

Answer - B :

[tex]:\implies\tt\:\dfrac{4}{m^2}+\dfrac{4}{n^2}[/tex]

[tex]:\implies\tt\:\dfrac{4(m^2+n^2)}{(mn)^2}[/tex]

[tex]:\implies\tt\:\dfrac{4(m^2+2mn+n^2-2mn)}{(mn)^2}[/tex]

[tex]:\implies\tt\:\dfrac{4[(m+n)^2-2mn]}{(mn)^2}[/tex]

[tex]:\implies\tt\:\dfrac{4[(18)^2-(-24)]}{(-12)^2}[/tex]

[tex]:\implies\tt\:\dfrac{4(324+24)}{144}[/tex]

[tex]:\implies\tt\:\dfrac{348}{36}[/tex]

[tex]:\implies\:\boxed{\bf{\orange{\dfrac{29}{3}}}}[/tex]

Answer:

10). 5x + (7x + 6) = 90

11). x = 7

Step-by-step explanation:

From the picture attached,

Sum of given angles measures 90°

Measures of the angles are (5x)° and (7x + 6)°

Therefore, equation to determine the values of x will be,

5x + (7x + 6) = 90

By combining similar terms of the equation,

12x + 6 = 90

12x = 90 - 6

12x = 84

x = [tex]\frac{84}{12}[/tex]

x = 7

Therefore, by solving the equation value of x will be 7.

Answer:

4

Step-by-step explanation:

6/6+6+2-5=

Answer:

C

Step-by-step explanat:

Hope thats right

Answer: -4 over 9 hope this works

Step-by-step explanation:

Answer:

because a square always has the same length on each side so yo just see what number multiplies to that.

Step-by-step explanation:

Answer:

[tex]1.0736 \times 10^{19}[/tex] ways

Step-by-step explanation:

Given that:

Mikayla bought a bag of 84 pieces of candy.

she wants to divide them evenly and place them into bag such that they are not more than 20 bags.

Therefore, the number of possible ways she can do that is ;

[tex]^{84}C__{20}[/tex]

= [tex]\dfrac{84!}{20!(84-20)!}[/tex]

= [tex]\dfrac{84!}{20!(64)!}[/tex]

[tex]= 1.0736 \times 10^{19}[/tex] ways

The possible ways she can fill the bag = [tex]1.0736 \times 10^{19}[/tex] ways

Answer:

C) 14

Step-by-step explanation:

_______________

Answer:

THE SET OF ALL POINTS IN A PLANE THAT ARE THE SAME DISTANCE AWAY FROM SOME GIVEN POINT , WHICH WE CALL THE CENTER.

Step-by-step explanation:

Answer:

xº=71º

Step-by-step explanation:

Take the triangle BDH

Once the sum of interior angles of a triangle is 180º:

40º+31º+yº=180º

71º+yº=180º

yº=109º

Once yº and xº are supplementary angles (add up to 180º):

yº+xº=180º

109º+xº=180º

xº=71º

If ∠DBE is 40° and ∠BDC is 31° then the angle x will be equal to 71°.

A triangle is a two dimensional figure having three sides, three angles and the sum of all the angles is equal to 180°.

We have been given ∠DBE=40° and ∠BDC=31° and we have to find the angle ∠IHE which is x°.

Let the angle DHB equal to y.

In ΔBDH

∠DBH+∠BDH+Y=180 { Sum of all angles in a triangle is equal to 180}

40+31+y=180

71+y=180

y=180-71

y=109°

We know that sum of two angles on a line is equal to 180°.

So, x=180-109

x=71°

Hence the value of x is 71° if ∠BDC=31° and ∠DBE =40°.

Learn more about triangles at https://brainly.com/question/17335144

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Answer:

d a m n been 5 minutes

Step-by-step explanation:

wanna talk

Answer:

Just say, "No, 7 to 4 is not the same as 4 to 7. I don't know why, but I just know because you taught me it wasn't."

Step-by-step explanation:

It worked for me lol

Answer:

4 to 7 is pretty much 4 divided by 7 which = 4/7 and 7/4 is 1 3/4. which is obviously greater. So they both equal different answers.

Step-by-step explanation:

no

Can i have brainliest

Answer:

deez

nuts

Step-by-step explanation:

Answer:

A)yes

B)yes

c)no

d)yes

e)yes

f)no

Part A

This is the same as saying 2(AB+BC). A more written out version is AB+BC+CD+DA, though it's not needed since the opposite sides are congruent (AB = CD and BC = DA)

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

Part B

The diagonals of any parallelogram bisect each other. They cut each other in half.

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

Part C

The adjacent sides of a parallelogram aren't always equal in length. It only happens when we have a rhombus.

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

Part D

The angles mentioned are alternate interior angles. They are congruent due to AD and BC being parallel.

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

Part E

We can use the SSS or SAS congruence theorem to prove these triangles are congruent.

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

Part F

These are adjacent angles that aren't always the same measure. Diagonal AC does not bisect angle DAB. This only happens if we had a rhombus.

Answer:

12 burritos and 167 tacos

Step-by-step explanation: 164 x 6.5 = 1066

1157 - 1066 = 91

91/7.5 about 12

164 tacos and 12 burritos

Step-by-step explanation:

-2(x + 10) + 4 = -32

-2(x + 10) = -32 -4

-2(x + 10) = - 36

x + 10 = (-36)/(-2)

x + 10 = 18

x = 18 - 10

x = 8

8 is a solution ... true

Answer:

Equal

Step-by-step explanation:

The absolute value of any number is the same as the value between the lines, but instead, it is positive. The lines (|x|)represent the amount of units/numbers |-5| and |-(-5)| is away from 0. They are both 5 numbers away from it, so it is equal.

Answer: Yes it is equal.

Step-by-step explanation:

when a number is an absolute, always assume it is possitive number.

Example: l-2l = 2 or l2l = 2

i hope that made sense.

Answer:

the opposite of 9

Step-by-step explanation:

the absolute value of nagative 9, is positive 9.

the absolute value of postive 9, is postive 9.

the distance between 0 and nagative 9 on a line would be a count of postive 9.

the opposite of postive 9 is negative 9 (the only one with a diffrent outcome)

Answer : The measure of ∠WRS is 25°.

Step-by-step explanation :

As we know that vertically opposite angles are always equal.

In the given figure,

∠VRT = ∠WRS = (5x)°          (Vertically opposite angles)

And we know that the sum of all angle in a straight line is equal to 180°.

So,

∠TSR + ∠WRS = 180°

Given: ∠TSR = (25x + 30)°

∠TSR + ∠WRS = 180°

(25x + 30)° + (5x)° = 180°

30x + 30° = 180°

30x = 180° - 30°

30x = 150°

x = 5°

∠WRS = (5x)° = (5 × 5)°  = 25°  

Therefore, the measure of ∠WRS is 25°.

Answer: 25°

Step-by-step explanation:

Easy peasy go bedsy

Answer:

Step-by-step explanation:

Is the 2 an exponent? if so:

Plug 9 into S

so rewrite as 4(9)^2+10=1306

If not: then 4(9)(2)+10= 82

Answer:

The integers are -58, -57, -56.

Step-by-step explanation:

The difference between two consecutive integers is 1.

If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.

Integers: x, x + 1, x + 2

The sum of the first and third is: x + x + 2

3 times the sum of the first and third is: 3(x + x + 2)

That product equals -342.

3(x + x + 2) = -342

3(2x + 2) = -342

Divide both sides by 3.

2x + 2 = -114

Subtract 2 from both sides.

2x = -116

Divide both sides by 2.

x = -58

x + 1 = -57

x + 2 = -56

The integers are -58, -57, -56.

Answer:

29

Step-by-step explanation:

So DF = 42, And we know that DF = DE + EF

Therefore (7x+1) + (4x-3) = 42

11x -2 = 42

11x = 44

x = 4

Substitute x = 4 onto DE equation, so 7(4) +1

= 29.

The required measure of line segment DE is 29.

Given that,
A line segment DF is given,
E is a point on the  segment DF, where DE = 7x +1 and EF = 4x - 3
and DF = 42,
To determine the measure of DE.

A line is a straight curve showing the shortest distance between 2 points.

Here,
DF = DE + EF
From the given put the values of  DF = 42, DE = 7x +1 and EF = 4x - 3
42 = 7x + 1 + 4x - 3
42 = 11x - 2
11x = 44
x = 4

DE = 7x + 1
Put the value of x in above equation,
DE = 7 * 4  + 1
DE = 28 + 1
DE = 29

Thus, the required measure of the DE segment is 29.

Learn more about lines here:

brainly.com/question/2696693

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