In factoring a trinomial with a leading coefficient other than 1, the first step is
to look for a common factor in each term and factor it out.
true of false

Answer:

p = 6x + 10

Step-by-step explanation:

p = 2(l + w)

p = 2(6 + (3x - 1))

Simplify terms inside parenthesis

p = 2(3x + 5)

Distribute

p = 6x + 10

Step-by-step explanation:

question 2

let the number be x

2 ( x + 5 ) = 5x - 14

2x + 10 = 5x - 14

2x - 5x = -14 - 10

-3x = -24

dividing both sides by -3

x = 8

to verify, 8 + 5 is 13 times 2 which 26..

so 5 times 8 is 40 minus 14 is 26

Part (a)

The angles would stay the same. This is because similar figures keep the same shape, but the size will shrink or grow.

A real world application is to simply move your head closer to the page and the figure will appear to get larger. The angles themselves stay the same but the side lengths will get larger.

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Part (b)

While the angles stay the same under a dilation operation, the side lengths do not. As the instructions state: "The side lengths are 3 times longer" (paraphrased).

So we multiply each side length in the diagram by 3

Refer to the diagram below. I've used the resize feature to enlarge the image to make figure DEFG

Answer:x

=4

permiter=6

area=24

Step-by-step explanation:

Answer:

x = 8, area = 364 km^2, perimeter = 80 km

Step-by-step explanation:

to start, we have to recognize that opposite sides of a rectangle are congruent.

therefore ➪

2x + 10 = 4x - 6

2x + 16 = 4x

16 = 2x

x = 8

now just plug that in and you'll find ➪

length = 26km

width = 14km

area = l * w

area = 26 * 14

area = 364 km^2

perimeter = 2(l + w)

perimeter = 2(14+26)

perimeter = 80 km

Answer:

(6x + 5)(x + 2)

Step-by-step explanation:

x coefficients must multiply to 6

so 6 * 1 or 2*3

10 must be 5*2 or 1* 10

(6x + 5)(x + 2) = (6x² + 12x + 5x + 10) = 6x² + 17x + 10

Answer:

[tex]r^{3}=4050[/tex]

r = ∛4050

Step-by-step explanation:

[tex]V=\frac{4}{3} \pi r^{3}[/tex]

[tex]5400=\frac{4}{3} \pi r^{3}[/tex]

[tex]r^{3}=3(\frac{5400}{4} )[/tex]

[tex]r^{3}=3(1350 )[/tex]

[tex]r^{3}=4050[/tex]

Answer:

49.54

Step-by-step explanation:

Take the new price and add the amount that it was reduced by to get the original amount

47.25+2.29

49.54

That was the original price

Answer:

x = 10

Step-by-step explanation:

The secant- secant angle 3x is half the difference of the intercepted arcs, that is

3x = [tex]\frac{1}{2}[/tex] (4x + 50 - 30 )

3x = [tex]\frac{1}{2}[/tex] (4x + 20) = 2x + 10 ( subtract 2x from both sides )

x = 10

a= -3

b= 1

k = 2

h= 0

refer to the attachment

The logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b must be raised, to produce x. For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3, or log₁₀ = 3.

Here, we have,

to rewrite the logarithmic equation:

The equation is given as:

f(x) = log(100)

Express 100 as 10^2

f(x) = log(10^2)

Apply the law of logarithm

f(x) = 2log(10)

Subtract 0 from 10

f(x) = 2log(10 - 0)

Add 0 to the equation

f(x) = 0 + 2log(10 - 0)

Hence, the logarithmic equation f(x) = log(100) in the form g(x) = k + a log b(r – h) is f(x) = 0 + 2log(10 - 0)

Read more about logarithmic equation at:

brainly.com/question/13473114

#SPJ3

complete question:

Express f(x) = log(100) in the general form of a logarithmic function, g(x) = k + a log b(r – h).

Answer:

196608

Step-by-step explanation:

Answer:

all real values

Step-by-step explanation:

there is no value for x, where the operations in f(x) would run into an undefined or outright invalid situation. whatever x we can think of, f(x) will calculate a valid y.

Answer:

Then the solution is (-1/4, 3)

Step-by-step explanation:

Start by eliminating the fractional coefficient 1/4:  multiply all 3 terms in the second equation by 4.  This results in equation (b), below:

4x - 3y = -10   (a)

4x = y -4         (b)  

Substitute y - 4 for 4x in equation (a):

y - 4 - 3y = -10

Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.

Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4

Then the solution is (-1/4, 3)

Answer:6. =    7. <     8.<     9. >    10. >    11.<.  12.<     13.=

14. 0.51,0.52, 0.59         15. 7.1, 7.15, 7.18         16.  1.03, 1.3, 1.33

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

[tex] {7}^{4} \div 7[/tex]

Since,

[tex] {a}^{x} \div {a}^{y} = {a}^{x - y} [/tex]

Hence,

[tex] = {7}^{4 - 3} [/tex]

[tex] = {7}^{3} (ans)(as \: a \: single \: power \: of \: 7)[/tex]

Answer:

y = -3x+ 4

one equation two unknows can not solve uniquely

4y = -12x + 16

y = -3x+ 4

is the solution set

Step-by-step explanation:

Answer:

[tex]x = \frac{ 16 - 4y}{12}[/tex]

Step-by-step explanation:

12x + 4y = 16

12x + 4y - 4y = 16 - 4y

12x = 16 - 4y

[tex]\frac{12x}{12} = \frac{ 16 - 4y}{12}[/tex]

[tex]x = \frac{ 16 - 4y}{12}[/tex]

Refer to the attachment...

Since the line is parallel to the given equation , slope of required line = slope of the given equation of line

slope = -1/2

Answer:

The plane figure has a symmetry about an axis

Answer:

plane symmetry and symmetry about an axis

Step-by-step explanation:

A three-dimensional figure has plane symmetry if a plane can divide the figure into two congruent reflected halves.So, the given figure has seven plane symmetries.

A three-dimensional figure has symmetry about an axis if there is a line about which the figure can be rotated by an angle greater than 0∘ and less than 360∘ so that the image coincides with the preimage.So, the given figure has symmetry about seven axes.

Therefore, the figure has plane symmetry and symmetry about an axis.

Answer:

-12^3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-12)^1+1+1

-12^3

In multiplication if base are same we can add their exponent(power).

Answer:

Step-by-step explanation:

angle 4 is congruent to angle 4 because they are alternate interior angles.

angle 5 is congruent to angle 3 because they are alternate interior angles.

angle 1+angle 2+angle 3 is equal to (=) angle 1+angle 2+angle 3

angle 1+angle 2+angle 3=180 degree(being sum of interior angles of a trianngle)

Answer:

50°

Step-by-step explanation:

The sum of the internal angles of a triangle is always 180°. The PQR triangle have 70° + 60° = 130°, so it need to have more 50° to complete 180°, and the angle x have the same size that this "missing angle" from the PQR triangle because the angle x is formed by the same segments, so it have 50°

Answer:

Step-by-step explanation:

11 ÷ 4 = 2 + 2 = 4

1 + 4 + 4 = 9

19 ÷ 4 = 4

Answer:

D

Step-by-step explanation:

Frizzy cola is 4.1 through 4.3 inclusive

This means that the pH Range of frizzy cola is between 4.1 to 4.3(including 4.3)

If the pH value is represented as h :

The the lower bound will be 4. 1

Upper bound will be 4.3

This means :

4.1 less than or equal to h and h is less than or equal to 4.3

4.1 ≤ h ≤ 4.3

Since, 7 is neutral, values below 7 are acidic while above 7 are alkaline ;

The range is below 7, hence, frizzy cola is acidic.

4.1 ≤ h ≤ 4.3 ; acidic

Answer:

ratio

Step-by-step explanation:

i just know

Answer:

A Ratio

Step-by-step explanation:

its a ratio

your welcome ☺

Answer:

4/3

Step-by-step explanation:

-(16/9) = (p/q) (-4/3)

(-16/9)*(-3/4) = (p/q)

4/3 = p/q

Answer:

Step-by-step explanation:

Let the number be x

[tex]x *\frac{-4}{3}=\frac{-16}{9}\\\\x=\frac{-16}{9}*\frac{3}{-4}\\\\x=\frac{4}{3}[/tex]

Answer:

[tex]Given,[/tex]

∠CBA=(7x+6)°

∠EBD=(9x-24)°

[tex]Now,[/tex]

∠CBA=∠EBD (vertically opposite angles)

----------------------

hope it helps...

have a great day!!

Answer:

x= 15

Step-by-step explanation:

Answer:

42 units

Step-by-step explanation:

Answer:

Area = 21.7777 m²

Step-by-step explanation:

Side of the square = 14 / 3.

Area of the square = side²

→ (14/3)²

→ 196/9

→ 21.7777 m²