Perform the operation. (-4x^2-2x-6)-(-7x^2-2x-2)

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Explanation:

Set each factor equal to zero and solve for x. I'm using the zero product property which says A*B = 0 leads to either A = 0 or B = 0.

Let's apply that idea to the first factor.

x^2+4x+3 = 0

(x+1)(x+3) = 0

x+1 = 0 or x+3 = 0

x = -1 or x = -3  are two roots

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Do the same for the other factor as well.

x^2 - 4 = 0

(x-2)(x+2) = 0  .... difference of squares rule

x-2 = 0 or x+2 = 0

x = 2 or x = -2  are another two roots

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In total, the four roots are:

Side note: The term "root" is the same as the zeros of a polynomial. Visually, this corresponds to the x intercepts. Plugging any of those four items into p(x) will lead to p(x) = 0.

Answer:

x=12

Step-by-step explanation:

since it is an equilateral triangle the angle r all the same the angle have to equal 60

Since it's a equilateral triangle.

[tex]\\ \sf\longmapsto 5x+5x+5x=180[/tex]

[tex]\\ \sf\longmapsto 15x=180[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

Answer:

92 1/12      

Step by step explanation:                                

Answer:

40°

Step-by-step explanation:

Answer:

What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11) 1060 by cata

Answer: x=-3ab/2+ac

Step-by-step explanation:

Multiply to remove the fraction, then set equal to 0 and solve.

Answer:

Sum of exterior angle is [tex]360^0[/tex]

Value of each exterior angle is [tex]120^0[/tex]

Step-by-step explanation:

Sum of interior angles of a polygon with n sides [tex]=(n-2)\times180[/tex]

Here

[tex](n-2)180=180\\\\n=3[/tex]

Hence the polygon is triangle

Sum of exterior angle is [tex]360^0[/tex]

Sum of one exterior angle

[tex]=\frac{360}{3} \\\\=120^0[/tex]

Answer:

7

Step-by-step explanation:

Terms are the numbers and/or variables within an equation. For example you have 5 terms in that equation:

[tex]3x^2+7y^3+2x+9y-5y^2[/tex]

The first term is: [tex]3x^2[/tex]

The second term is: [tex]7y^3[/tex]

The third term is: [tex]2x[/tex]

The fourth term is: [tex]9y[/tex]

The fifth term is: [tex]-5y^2[/tex]

Coefficients are the numbers in front of variables (this includes negative/subtraction signs). For example you have 5 coefficients in this equation:

The first coefficient is: 3

The second coefficient is: 7

The third coefficient is: 2

The fourth coefficient is: 9

The fifth coefficient is: -5

Answer:

1) -2x - 3

2) -2a - 2

Step-by-step explanation:

Problem 1

To solve this problem, we only have to combine like terms. What are the like terms in this problem? Well, we have two x-terms (-10x and 8x) and two integers, or constants (1 and -4). So, let's rearrange the expression and then combine those terms.

-10x + 8x + 1 - 4

-2x - 3

Problem 2

This expression is a little more complicated since we have to distribute a 2 onto the two terms in the parentheses.

2(1 - a) - 4

2(1) - 2(a) - 4

2 - 2a - 4

Next, we can combine like terms.

-2a + 2 - 4

-2a - 2

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\huge\text{Number 1}[/tex]

[tex]\large\textsf{-10x + 1 + 8x - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-10x + 8x) + (1 - 4)}\\\large\textsf{= -2x - 3}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2x - 3}}}\huge\checkmark[/tex]

[tex]\huge\text{Number 2}[/tex]

[tex]\large\textsf{2(1 - a) - 4}\\\large\text{DISTRIBUTE 2 WITHIN the PARENTHESES}\\\large\textsf{= 2(1) + 2(-a) - 4}\\\large\textsf{= 2 - 2a - 4}\\\large\text{COMBINE the LIKE TERMS}\\\large\textsf{= (-2a) + (2 - 4)}\\\large\textsf{= -2a - 2}\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{-2a - 2}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \&}\\\huge\textbf{enjoy your day!}[/tex]

The question is an illustration of right-angled triangles

The approximated value of x is 33.5 degrees

The given parameters are:

[tex]\theta = x[/tex]

[tex]Hypotenuse = 58[/tex]

[tex]Opposite = 32[/tex]

To determine the measure of angle x, we simply make use of the following sine ratio.

[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]

So, we have:

[tex]\sin(x) = \frac{32}{58}[/tex]

[tex]\sin(x) = 0.5517[/tex]

Take arc sine of both sides

[tex]x = \sin^{-1}(0.5517)[/tex]

This gives

[tex]x = 33.5[/tex]

Hence, the approximated value of x is 33.5 degrees

Read more about right-angled triangles at:

https://brainly.com/question/16195823

Answer:

7/2 or 3 1/2

Step-by-step explanation:

7/8*4/1=28/8

Simplify= 7/2 or as a mixed fraction = 3 1/2

Hope this helps

Can I have the brainliest if I am right?

Answer:

3rd option

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through

The only equation in this form is option 3

3x - 2 = 0 , as

3x = 2 and

x = [tex]\frac{2}{3}[/tex] ← equation of vertical line

Answer -

Discount -

24.50 x 30/100

24.5 x 0.3 = 7.35 saved

24.5 - 7.35 = 17.15

Discount you saved $7.35 , which brings you price 17.15

tax -

17.15 + 0.34 = 17.49

With taxes you pay 17.49

HOPE THIS HELPS :)

Answer:

These are the answers

Step-by-step explanation:

factor, in mathematics, a number or algebraic expression that divides another number or expression evenly—i.e., with no remainder. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12.

Hope it helps !

Answer:

Yes.

Step-by-step explanation:

According to the given co-ordinate.

(x,y) = (-2,-2)

i.e. x = -2, y = -2

So, We can say that x = y = -2.

Hence, the given co-ordinate makes the equation y = x true.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

110°

Step-by-step explanation:

Alternate angles are equal.

Hope this helps and have a good day!

Measure of y is [tex]103^0[/tex]

A quadrilateral is a plane figure that has four sides or edges, and also has four corners or vertices. The angles are present at the four vertices or corners of the quadrilateral. If ABCD is a quadrilateral then angles at the vertices are ∠A, ∠B, ∠C and ∠D. The sides of a quadrilateral are AB, BC, CD and DA.

110 + Z =180 ......................(Linear pair)

So, the measurement of angle z is 70.

Since,  Sum of all interior angles of quadrilateral = 360°.

then...

Y = 360 - (100 + 87 + 70)

Y = 360 - 257

   = 103

Hence, measure of y is [tex]103^0[/tex]

To learn more about the  quadrilateral here:

https://brainly.com/question/29269424

#SPJ7

Answer:

if its easy then answer it .-.

Step-by-step explanation:

Answer:

u =-3

Step-by-step explanation:

Answer:

Part A. (Uber)$1 + $2 + 1.05x

(taxi)

Part B. (Uber)$15.60 (12mi) $24(20mi) $55.50(50mi)

(taxi)

Part C.

Step-by-step explanation:

Part B. Uber

12 miles: $1 + $2 + 1.05(12)

3+12.60

15.60

20 miles: $1 + $2 + 1.05(20)

3+21

24

50 miles: $1 + $2 + 1.05(50)

3+52.50

55.50

Part B. Taxi

Part C.

Answer:

D.

Step-by-step explanation:

Answer:

Minneapolis

Step-by-step explanation:

Answer:

2640mm

Step-by-step explanation:

I'm assuming you need the area of the rectangle which the circles don't take up.

First, to find the area of the whole rectangle:

length x width

to find length:

the length is 1 circle, therefore it is the diameter of the circle, which is 32 x 2 = 64mm

to find width:

the width is 3 circles, which is the radius 6 times, so 32 x 6 = 192mm

So, area of rectangle = 64 x 192 = 12288mm

Now to find the area the circles take up:

area of 1 circle =

[tex]\pi \times {r}^{2} [/tex]

=

[tex]\pi \times {32}^{2} [/tex]

=

[tex]1024\pi[/tex]

As we have 3 circles, we multiply this by 3:

[tex]1024\pi \times 3 = 3072\pi[/tex]

Finally we subtract the area of the three circles from the area of the rectangle:

[tex]12288mm - 3072\pi = 2637[/tex]

As we need to round it to 3 significant figures, the answer is 2640mm

The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.

It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.

In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.

Learn more about Harry on:

https://brainly.com/question/1173893

Answer: You ate 1920 calories

Step-by-step explanation:

It’s pretty simple,

all you have to do is multiply 6 by 320.

this then gets you 1920

Answer:

1920 calories

Step-by-step explanation:

6servings*320cal/servings = 1920cal (servings cancel)

Answer:

[tex]i = \sqrt{ \frac{p}{r} } [/tex]