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andreyandreev [35.5K]

2 years ago

8

The area of a triangle can be represented by the expression 14x^5+63x^2. If the base is 7x^2, write an expression to represent i

ts height.

1 answer:

horrorfan [7]2 years ago

4 0

Please see pic for work and answer.

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A carpenter is building a rectangular bookcase with diagonal braces across the back, as shown. The carpenter knows that angle AD

Valentin [98]

Refer to the diagram shown below.

Let x = m∠ADB.

Because m∠BDC is 32° greater than m∠ADB, therefore
m∠BDC = x + 32°

Each angle of a rectangle is 90°, therefore
x + (x+32) = 90
2x + 32 = 90
2x = 58
x = 29°
x+32 = 61°

Answer:
m∠BDC = 61°
m∠ADB = 29°

8 0

2 years ago

What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

VMariaS [17]

Given

The equation in the form

$x^{4}+95x^{2}-500 =0$

Find the factor of the above equation

To proof

factoring the above equation

we get

$x^{4}+100x^{2}-5x^{2}-500 =0\\\\x^{2}(x^{2}+100)-5(x^{2}+100)=0\\\\(x^{2}-5)(x^{2}+100)=0$

now sloving the equation we get the value

x² = 5

x² = -100

$x =\pm \sqrt{5}\\\\ x=\sqrt{-100}$

The factor of the equation is

$x=\pm \sqrt{5}\\\\ x= \pm 10i$

Hence proved

8 0

2 years ago

Read 2 more answers

Ralph Chase plans to sell a piece of property for $165000. He wants the money to be paid off in two ways - a short-term note at

KonstantinChe [14]

Answer:

The amount of the 10% note is $90,000 and the amount of the 7% note is $75,000

Step-by-step explanation:

Let the amount paid on the 7% note be $x and the amount paid on the 10% note be $y

we know that the sum of both is 165,000

Thus, mathematically

x + y = 165,000 •••••••(i)

Now let’s take a look at interest paid

For the 7%;

7/100 * x = 0.07 * x = 0.07x

For the 10%

10/100 * y = 0.1 * y = 0.1y

The addition of both gives $14,250

0.07x + 0.1y = 14,250 •••••(ii)

We now solve both equations simultaneously

From equation 1, we can have;

x = 165,000 -y

we can substitute this into ii

0.07(165,000-y) + 0.1y = 14,250

11,550 -0.07y + 0.1y = 14,250

0.03y = 14,250-11,550

0.03y = 2700

y = 2700/0.03

y = $90,000

Recall;

x = 165,000-y

x = 165,000 -90,000

x = $75,000

4 0

2 years ago

Round 472.529996081 to the nearest ten

allochka39001 [22]

Answer:

472.5

Step-by-step explanation:

8 0

2 years ago

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Create an original rational function that has at least one asymptote (vertical, horizontal, and/or slant) and possibly a removab

harkovskaia [24]

Since f has a vertical at x=2, then the denominator of the rational function contains the term (x-2), Function f has the form. F(x)=g(x) / (x-2) g(x) which is in the numerator must be of the same degree as the denominator since F has a horizontal asymptote. Also g (x) must contain the term (x+5) since f has a zero at x=-5. Hence f(x)=3 (x+5) / (x-2)

8 0

2 years ago