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GuDViN [60]
3 years ago
6

Please help me with the geometry.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0

Step-by-step Answer:

To prove

Triangle ADC is congruent to triangle BDC

AC=BC  (given)

DC=DC  (common)

AD=BD (given CD bisects AB)

Therefore triangle ACD is congruent to BDC  (justification: SSS)

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Factor <img src="https://tex.z-dn.net/?f=3x%5E2y%2B28xy%5E2%2B32y%5E3" id="TexFormula1" title="3x^2y+28xy^2+32y^3" alt="3x^2y+28
Darya [45]

Answer:

y(3x + 4y)(x + 8y)

General Formulas and Concepts:

<u>Alg I</u>

  • Factoring

Step-by-step explanation:

<u>Step 1: Define expression</u>

3x²y + 28xy² + 32y³

<u>Step 2: Simplify</u>

  1. Factor out <em>y</em>:                    y(3x² + 28xy + 32y²)
  2. Factor trinomial:              y(3x + 4y)(x + 8y)
  • What multiplies up to 32 adds up to 28 with 3 being multiplied as a coefficient? Numbers are 4 and 8.
7 0
2 years ago
Read 2 more answers
Divide. Enter the quotient in simplest form. 7 10 ÷ 2 5 =
ruslelena [56]

Answer:

Step-by-step explanation:

ok so if this exuation is 710/25=28.4

but if the exuation is 7*10/2*5=7

4 0
3 years ago
Read 2 more answers
1. While solutions to the general quintic equation in terms of radicals are impossible to obtain, they do exist. Prove that the
Marta_Voda [28]

Answer:

Step-by-step explanation:

Given is a function as x^5-3x+1

Equating to 0 we have equation

If the function f(x) has x intercepts then the solutions are real

Let us use remainder theorem and change of signs rule

f(0) = 1>0

f(-1) = -1+3+1=3

f(-2) = -32+6+1<0

This implies there is a real root between -1 and -2.

f(1) = -1

Since f(0) and f(1) have different signs, there exists a real root between 0 and 1.

f(2) = 32-6+1>0

Since f(1) and f(2) have different signs there exists a real root between 1 and 2.

Thus there are definitely three real solutions as

one between -1 and 0, one between 0 and 1, and third between 1 and 2.

3 0
3 years ago
Read 2 more answers
An engineer is building a bridge that should be able to hold a maximum weight of 1 ton. He builds a model of the bridge that is
MrRissso [65]

Answer:

First blank- 32000 ounces

Second blank- 2000 pounds

Yes the bridge can hold 1 ton.

Step-by-step explanation:

The ratio of the scale of the model to the real bridge = 1:4

The test model shows the model can take 8000 ounces

The real bridge will therefore take 8000 x 4 = 32000 ounces

16 ounces = 1 pound

32000 ounces =  x pounds

==>  = 32000/16 = 2000 pounds

2000 pounds = 1 ton

therefore the bridge holds 1 ton

6 0
2 years ago
Read 2 more answers
Helppp pls very urgent​
Ludmilka [50]

Answer:

1. 22000 millimeters

2. 1.5 grams

3. 15 centigrams

4. 5300 milliliters

5. 0.025 decagrams

6. 0.0083 decimeters

7. 0.027 decaliters

8. 28.7 millimeters

9. 5.4 decigrams

10. 1000 milligrams

Step-by-step explanation:

6 0
2 years ago
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