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3 years ago

3. Given: a+b=12 and ab=9 Use (a + b)2 to find a² +bº. (Do not solve for a and b individually)

Mathematics

1 answer:

LenKa [72]3 years ago

7 0

Answer:

a²+b²=126

Step-by-step explanation:

(a+b)²=a²+b²+2ab

(12)²=a²+b²+2×9

144=a²+b²+18

a²+b²=144-18=126

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Problem is attached, need to use sin and cosine formulas

Tatiana [17]

In triangle 1, the values are α = 65°, a = 42.02, and 45.66. And in triangle 2, the values are β = 55.74, γ = 84.26, and c = 10.84.

<h3>What is the law of sines?</h3>

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

$\dfrac{\sin \alpha }{a} = \dfrac{\sin \beta }{b} = \dfrac{\sin \gamma}{c}$

1. β = 15°, γ = 100°, and b = 12, then the missing side and angle will be

The sum is 180° of a triangle. Then the value of α will be 65°.

$\dfrac{\sin 65^o}{a} = \dfrac{\sin 15^o}{12} = \dfrac{\sin 100^o}{c}$

Then the value of a will be

a = 42.02

Then the value of c will be

c = 45.66

2. α = 40°, a = 7, and b = 9, then the missing side and angle will be

(sin 40°)/7 = (sin β) / 9

sin β = 0.82644

β = 55.74

The sum is 180° of a triangle. Then the value of γ will be 84.26°.

Then the value of c will be

c = 10.84

Learn more about the law of sines here:

brainly.com/question/17289163

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7 0

2 years ago

Whats the quotient of simplest from for 5 wholes divide by 2\9 ?

posledela

Keep Change Flip!!!
Keep: the first fraction 5 or 5/1
Change: Division sign to multiplication sign
Flip (reciprocal): the second fraction
So you get 5/1*9/2= 45/2 which simplified to 22 1/2

7 0

4 years ago

Please please help me with this question please now and show your steps

hichkok12 [17]

Y = x^2 - 8x + 7

a) y-intercept

The y-intercept is the point where it crosses the y axis so x would 0.
So putting in 0 for x:
y = x^2 - 8x + 7
y = 0^2 - 8(0) + 7
y = 0 - 0 + 7
y = 7
The y intercept is at the point (0,7).

b)
The zeroes are the points where it crosses the x axis so it’s when the y is set to 0.

0 = x^2 - 8x + 7
Since it’s a quadratic equation we have to factor it. We fill in 2 numbers that add to -8 and multiplied to equal 7.
(x +____)(x+ ____)

The 2 numbers are 7 and -1 because -1*-7=7 and -7+(-1)=-8. So:
0 = (x-7)(x-1)

So now we have x-7 and x-1 equaling some quantity. If either of those happens to equal zero, it makes the whole equation 0, because (x-7)0=0 and 0(x-1)=0

So we can set each of it separately to 0 to solve for x.
x-7=0
x= 7

x-1=0
x= 1

The zeroes are at the points (1, 0) and (7, 0)

C.
The Vertex Form of a Quadratic is:
y = a(x-h)^2 + k. And the vertex is (h, k)

y = x^2 - 8x + 7
y - 7 = x^2 - 8x

We want to complete the square by adding some number to both sides of the equation so that when we factor it we are going to get (x-a)(x-a).

So take half of 8 to get two equal numbers that would be our “a”. 8/2=4 so we want (x - 4)(x- 4).

(x-4)(x-4) multiplies out to x^2 - 8 + 16.

continuing,
y - 7 = x^2 - 8x

Add 16 to both sides.
y - 7 + 16 = x^2 - 8x + 16

y + 9 = (x-4)(x-4)
y + 9 = (x-4)^2
y = (x-4)^2 - 9 is the vertex form.

The vertex is at the point (4, -9). So the axis of symmetry is at the line x = 4.

D. The vertex is solved in C as the point (-4, -9).

7 0

3 years ago

Select all that apply.

elena-14-01-66 [18.8K]

Answer:

The line represents a direct variation function

The line has a slope of 2

Step-by-step explanation:

In oder to find the slope given two points, use the Slope-Formula to identify the slope

m = slope

m = y2 - y1/x2 - x1

m = -8 - 10/-4 - 5

m = -18/ -9

m = 18/9

m = 2

Therefore, the slope is 2

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3 years ago

The data set below gives the number of points Micah scored during each basketball game this season. (5, 12, 27, 44, 30, 9, 18, 2

Julli [10]

Answer:

Yes there is an outlier and it is 44

Step-by-step explanation:

Outliers are values that seems to be far greater and lower than the rest of the data

From the given data we can see that 44 is much greater than the rest of the data making it an outlier in the data set

The removal or addition of the value when calculating the mean will make a huge difference in the resulting mean of the data. That's why they are called an outlier

5 0

3 years ago