All categories

3 years ago

What is the equation of the line passing through the points (2, -1) and (5, -10) in slope-intercept form?

Mathematics

1 answer:

AnnyKZ [126]3 years ago

6 0

Answer:

y=-3x+5

Step-by-step explanation:

m= (-10-(-1))/(5-2) = -3

-1 = -3x2 + c

c=5

You might be interested in

What is the product of the polynomial (7x+7) (x+2)

kolbaska11 [484]

Answer: 7x^2+21x+14

Step-by-step explanation:

(7x+7)(x+2)

Multiply each term in the first parentheses by each term in the second parentheses (FOIL)

7x×x+7x×2+7x+7×2

↘ ↙

7x×x calculate product

7x^2+7x×2+7x+7×2

↘ ↙

7x×2 calculate product

7x^2+14x+7x+7×2

↘↙

7×2 multiply numbers

7x^2+14x+7x+14

↘ ↙

21x collect like terms

7x^2+21x+14 is your end result.

3 0

3 years ago

What is -15 2/3 + (-5 2/3)

solniwko [45]

Answer is -21 1/3

-15 2/3

+ -5 2/3

-------------

Answer is 21 1/3

7 0

3 years ago

Read 2 more answers

Calculate the shaded area of the figure.

stiv31 [10]

Answer:

36.5cm²

Step-by-step explanation:

Area of quarter circle=8² $\pi$ /4=64 $\pi$ /4=16 $\pi$ cm²

Area of square+Area of shaded region =2(16 $\pi$ )=32 $\pi$ =100.5cm²

Area of square=8²=64cm²

Area of shaded region=100.5cm²-64cm²=36.5cm²

Therefore, the area of the shaded region is 36.5cm².

6 0

3 years ago

Read 2 more answers

Pls help trig question!!

s2008m [1.1K]

$4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\$

$\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68$

5 0

2 years ago

Write the inequality for the graph.

Slav-nsk [51]

9514 1404 393

Answer:

-1 < x < 2

Step-by-step explanation:

The graph indicates the variable may take on values between -1 and 2, not including those values. The compound inequality is written ...

-1 < x < 2

6 0

3 years ago