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3 years ago

Given g(x) -x + 4, solve for a when g(x) = 8.

Mathematics

2 answers:

jekas [21]3 years ago

4 0

Answer:

x = - 4

Step-by-step explanation:

Given g(x) = - x + 4 and g(x) = 8 , the equate the right sides, that is

- x + 4 = 8 ( subtract 4 from both sides )

- x = 4 ( multiply both sides by - 1 )

x = - 4

Tcecarenko [31]3 years ago

3 0

Answer:

x = 12

Step-by-step explanation:

g(x) - × + 4 =0

put g(x) = 8

so, 8 - x + 4 = 0

x = 12

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6 0

3 years ago

If breadth of a cuboid is one-fourth of its length,height is 5cm and total surface area is 328 cm²,find the length and breadth o

velikii [3]

The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

<h3>How to find the Surface Area of Cuboid?</h3>

A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), Breadth (B), and Height (H) of the cuboid and use the formula, SA=2 x ( LB + BH + HL ) , to find the surface area.

Here, We have given that height of the cuboid is 5cm.

Let length of the cuboid = X cm

so, the breadth of the cuboid = $\frac{X}{4}$ cm

also, we have given that total surface area is 328 cm²

Now, put all the values in the formula of Surface Area (SA):

SA = 2 x ( LB + BH + HL )

SA = 2 x ( X²/4 + 5X/4 + 5X )

SA = 2 x ( ( X² + 5X + 20X) / 4 )

SA = ( X² + 5X + 20X ) / 2

X² + 5X + 20X = 328 x 2

X² + 25X = 656

X² + 25X - 656 = 0

using Quadratic Formula: see the attached figure for the formula.

here Discriminant D = b² - 4ac

D = 625 - 4(-656)

D = 3249

on putting value of D or b² - 4ac in the formula we get

X = ( -25 + 57 ) / 2 and ( -25 - 57 ) /2

length can not be negative so we eliminate the second answer.

now, X = 16 cm

breadth = X /4 = 4 cm

Hence, The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

Learn more about " Quadratic Formula " from here: brainly.com/question/2615966

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3 0

2 years ago

Which of the following ratios is used in finding the tangent of an angle in a right triangle?

Softa [21]

Looking at the triangle from the aspect of the reference angle, the tangent of that angle would be the ratio of the side opposite the angle over the side adjacent to the angle (which is NOT the hypotenuse!)

8 0

3 years ago

No clue what to do. show all steps too please. thanks. HELP DUE NOW!!!

dangina [55]

An isosceles triangle has two equal sides.
a= one equal side
b=base

b+2a=35
a=b+4
b+ 2(b+4)=35
b+2b+8=35
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4 0

3 years ago

Your bank granted you a single payment loan of 2,500 for 90 days at 10 percent interest. What is the interest on the loan?

viva [34]

Answer:

62.5 interest on 2500 loan

Step-by-step explanation:

Given that,

amount of loan bank has granted = 2500

number of years = 90 days

90 days = 3 month

3 months = 1/4 year = 0.25 year

interest rate = 10%

= 10 / 100

= 0.1

Formula to use

Principal * interest rate expressed as a decimal * time in years

2500 * 0.1 * 0.25

62.5

Hence, the interest on the loan of 2500 with 10% interest rate for 90 days is 62.5

3 0

3 years ago

Given g(x) -x + 4, solve for a when g(x) = 8.​

Given g(x) -x + 4, solve for a when g(x) = 8.