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Alex73 [517]
3 years ago
15

Consider the trinomial 6x2 + 13x + 6.

Mathematics
2 answers:
svetoff [14.1K]3 years ago
10 0

the value of ac is 36

the value of b is 13

the two numbers that have a product of ac and a sum of a and b are 4 and 9

attashe74 [19]3 years ago
8 0
In the given expression 6X² + 13X +6, we can easily identify the values of a, b and c. These values are a=6, b=13 and c=6
For the value of "ac", we have:
ac=6*6
ac=36
For a sum of b are 4, we have
ac+b=36+13=49
Therefore, the answer for the last question "The two numbers that have a product of ac and a sum of b are 4 and 9".
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If sin∠X = cos∠Y and m∠X = 72°, what is the measure of ∠Y?
dezoksy [38]

Answer:

A. 18°

Step-by-step explanation:

Using the cofunction identity

sin x = cos(90 - x)

Hence

sin72° = cos(90 - 72)° = cos18° ⇒ ∠Y = 18°

3 0
3 years ago
Read 2 more answers
Find the interior angles of a regular polygon which has 6, 10 and 20 sides​
andrew-mc [135]

Answer:

(6)=120°

(10)=72°

(20)=36°

Step-by-step explanation:

(n-2)×180°

(6-2)×180°=720°

6÷720°=120°

10÷720°=72°

20÷720°=36°

4 0
3 years ago
a veterinarian needs to know animals weight in kilograms. if 20 pounds is about 9 kilograms and a dog weights 30 pounds, use a r
ahrayia [7]

For this case we have the following conversion:

20 pounds = 9 kilograms

To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.

For example, half the weight in pounds is half the weight in kilograms.

Therefore, the given conversion is:

10 pounds = 4.5 kilograms

So, for 30 pounds, we multiply this last ratio obtained by three on both sides:

30 pounds = 13.5 kilograms

Then, the table is:

Pounds 10 20 30

kilograms 4.5 9 13.5

Answer:

Using the ratio table the dogs weight is:

30 pounds = 13.5 kilograms

3 0
3 years ago
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Write the following relation as a linear equation in standard form. Include a space between terms and operations.
kow [346]

Answer:

In the form of

Y= mx+c

Y= 1/2x +2

m = 1/2

Step-by-step explanation:

A linear equation in it's standard form is in the format

Y= mx+c

Where m is the slope and c is the y intercept

Let's use these two points to determine both the slope and the equation

(2, 3), (4,4)

Slope= (y2-y1)/(x2-x1)

Slope= (4-3)/(4-2)

Slope= 1/2

Equation of the linear function

(Y-y1)/(x-x1)= m

(Y-3)/(x-2)= 1/2

2(y-3) = x-2

2y -6 = x-2

2y= x-2+6

2y= x+4

Y= 1/2x +2

4 0
3 years ago
Trigonometry
Mashcka [7]

The area of the triangle EFG is 7.4 square units.

Explanation:

Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and m\angle E=22^{\circ}

We need to determine the area of the triangle EFG

<u>Area of the triangle:</u>

The area of the triangle EFG can be determined using the formula,

\text {Area}=\frac{1}{2} fg \sin E

Substituting the values, we get,

\text {Area}=\frac{1}{2} (5)(8) \sin 22^{\circ}

Simplifying the values, we have,

\text {Area}=\frac{1}{2}(40)(0.37)

Multiplying, we get,

\text {Area}=\frac{14.8}{2}

Dividing, we get,

\text {Area}=7.4

Hence, the area of the triangle EFG is 7.4 square units.

3 0
3 years ago
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