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2 years ago

Solve each system by elimination 7x + 8y = -29 -3x -8y = 17

1 answer:

3 0

4x=-12
x= -3
Now that we know the value of x we plug that value into the first equation to solve for y
7(-3) +8y=-29
-21+8y= -29
8y=-8
y= -1

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Pllllllllllllllllllllleasee one guys i neeed ur help one

Svetllana [295]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve ~

Calculate discriminant :

$\qquad \sf \dashrightarrow \: 3 {x}^{2} + 6x - 1$

a = 3
b = 6
c = 1

$\qquad \sf \dashrightarrow \: discriminant = {b}^{2} - 4ac$

$\qquad \sf \dashrightarrow \: d = (6) {}^{2} - (4 \times 3 \times 1)$

$\qquad \sf \dashrightarrow \: d = 36 - 12$

$\qquad \sf \dashrightarrow \: d = 24$

$\qquad \sf \dashrightarrow \: \sqrt {d} = 2 \sqrt{6}$

Now, let's calculate it's roots ( x - intercepts )

$\qquad \sf \dashrightarrow \: x = \cfrac{ - b \pm \sqrt{d} }{2a}$

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{2 \times 3}$

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6\pm 2 \sqrt{6} }{6}$

So, the intercepts are :

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6 - 2 \sqrt{6} }{6}$

and

$\qquad \sf \dashrightarrow \: x = \cfrac{ - 6 + 2 \sqrt{6} }{6}$

5 0

2 years ago

Read 2 more answers

Choose one of the factors of x15 − 64. (2 points)

Lorico [155]

We have been given the function $x^{15}-64$

Convert this expression in difference of cubes form.

$x^{15}-64\\=(x^5)^3-4^3$

Now, in order to find the factors, we can apply the difference of cubes form, which is given by

$x^3-y^3=(x-y)(x^2+xy-y^2)$

On applying this formula, we get

$(x^5-4)(x^{10}+4x^5+16)$

Hence, the factors of the given expression are

$(x^5-4) \text{ and }(x^{10}+4x^5+16)$

Out of the given option, A is the correct option.

x^5 − 4 is the required factor.

6 0

3 years ago

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What is the area of this circle in terms of pi? <br> Radius=4cm

Dmitriy789 [7]

Answer:

A≈50.27cm²

Step-by-step explanation:

4 0

3 years ago

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If segment FD = 20 units and segment DE = 52 units, what is the value of b? Round the solution to the nearest hundredth.

Readme [11.4K]

Answer:

b = $22.62^{o}$

Step-by-step explanation:

Since the triangle is a right angled triangle, the appropriate trigonometric function can be applied to determine the value of b.

Thus, to determine the value of b;

Sin θ = $\frac{opposite}{hypotenuse}$

Sin b = $\frac{20}{52}$

= $\frac{20}{52}$

= 0.38462

⇒ b = $Sin^{-1}$ 0.38462

= 22.6202

b = $22.62^{o}$

The measure of angle E (= b) is $22.62^{o}$ .

7 0

3 years ago

Can you guys please help me I would really appreciate it thank you so much! :)

ASHA 777 [7]

Answer:

I'll attach a photo of my answers. I can also provide work if needed, but based on this photo, it looks like an online quiz so I won't waste my time with that.

I hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, good luck on your assignment. :)

6 0

3 years ago

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