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Romashka [77]
3 years ago
13

What number goes in the blank?? NEED HELP ASAPPP

Mathematics
1 answer:
madreJ [45]3 years ago
4 0
The answer is 5 :>>>
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Which statement is true about the equation (x – 4)(x + 2) = 16? The equation x – 4 = 16 can be used to solve for a solution of t
Tamiku [17]

Answer:

Factored form...

Step-by-step explanation:

Foil out (x-4)(x+2)=16

First: x*x=x^{2}

Outer: 2*x=2x

Inner: -4*x = -4x

Last: -4*2 = -8

Combine them all:

x^2+2x-4x-8=16

Simplify:

x^2-2x-8=16\\x^2-2x-24=0

What multiplies together to make -24 but adds together to make -2?

Lets list the factors of -24 to decide:

1 x -24

2 x -12

3 x -8

4 x -6

-6+4 = -2

Therefore...

(x-6)(x+4)=0

6 0
3 years ago
Read 2 more answers
TV−→− bisects ∠RTS. If the m∠RTV=(16x−6)° and m∠VTS=(13x+9)° , what is the value of x and the m∠RTV ?
natta225 [31]

Answer:

x = 5

RTV = 74

Step-by-step explanation:

Given

RTV=16x - 6

VTS=13x+9

Required

Determine the values of x and RTV

Since, TV is a bisector, then

RTS = RTV + VTS --- (1)

and

RTV = VTS -- (2)

Substitute values of RTV and VTS in (2)

16x - 6 = 13x + 9

Collect Like Terms

16x - 13x = 9 + 6

3x = 15

Solve for x

x = 5

Substitute 5 for x in RTV=16x - 6

RTV = 16 * 5 - 6

RTV = 80 - 6

RTV = 74

8 0
3 years ago
Frank mary and seth shared some sweets in the ratio 4:5:7 seth got 18 more sweets than frank
Nimfa-mama [501]

Answer:

each number in the ratio 4:5:7 is worth 6 sweets. add 4,5, and 7 to get 16 then multiply it by 6 to get 96 sweets.

Step-by-step explanation:

add the ratios = 4+5+7= 16

1 number = 6 so

4x6= 24

5x6=30

7x6=42

Frank gets 24 sweets

Mary gets 30 sweets

Seth gets 42 sweets

The total number of sweets they shared is 24+30+42= 96

The share 96 sweets altogether.

The check your answer; do 42-24= 18

Therefore, now we know that the difference between Seth and Frank's amount of sweets is 18.

Therefore, this is correct.

5 0
3 years ago
The diagonals of a rectangle enclose an angle of measure 78 degree
katrin2010 [14]

The area of the rectangle with a perimeter of 36 cm is determined as: 80.1  cm².

<h3>What is the Area of a Rectangle?</h3>

Area of a rectangle = (length)(width).

<h3>Given the following:</h3>

Angle of measure 78 degree enclosed by the diagonals of the rectangle

Perimeter = 36 cm

To find the area, we need to find the length and width of the rectangle using the trigonometric ratios.

A side of the rectangle = x cm

The other side = (36 - 2x)/2  = (18 - x) cm

Angle of the diagonal base = (180 - 78)/2 = 51°

Apply the tangent ratio to find x:

Tangent ratio is tan ∅ = opposite/adjacent side of a right triangle. We have the following,

∅ = 51°

Opposite side = x cm

Adjacent side = (18 - x) cm

Tan 51°  =  x/(18 - x)

1.235 = x/(18 - x)

1.235(18 - x) = x

22.23 - 1.235x = x

22.23 = x + 1.235x

22.23 = 2.235x

22.23/2.235 = 2.235x/2.235

x = 9.946 cm (one side length)

The other side length = 18 - x = 18 - 9.946 = 8.054 cm

Area of the rectangle = (9.946)(8.054)

Area of the rectangle = 80.1  cm²

Learn more about the area of rectangle on:

brainly.com/question/25292087

#SPJ1

3 0
1 year ago
Miracle Printers incurred external costs of $ 1 comma 400 comma 000 for a patent for a new laser printer. Although the patent gi
dedylja [7]

Answer:

Ok, but this isn't a problem though, It is only a statement

Step-by-step explanation:

4 0
3 years ago
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