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2 years ago

Need help in this please

Mathematics

1 answer:

Alona [7]2 years ago

8 0

Hmmm this is a little hard I believe c

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Which of the following is the solution to |-2x-15|≤7

sergeinik [125]

Answer:

Step-by-step explanation:

C. -11<x<-4

|-2x-15|<7 split into possible cases

- 2x - 15 < 7, - 2 x - 15 > 0

-(- 2x - 15 ) <7, -2x - 15 < 0 solve the inequalities

x>-11, x < -15/2

x< -4, x> -15/2 Find the intersections

[ -11, -15/2 ]

-15/2, -4] Find the union

[-11, -4 ] Simplify

-11<x<-4

5 0

3 years ago

Write the point-slope form of the equation of the line that passes through the point (-1, 5) and has a slope of -1.

Anastaziya [24]

Point slope form = y - y1 = m (x - x1)

y - 5 = -1 (x -(-1))
y - 5 = -1 (x+1)

Hope this helps :)

7 0

2 years ago

Show with work please.

kolbaska11 [484]

Answer:

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

Step-by-step explanation:

The identity you will use is:

$\csc \left(x\right)=\frac{1}{\sin \left(x\right)}$

So,

$\csc \left(\theta-\frac{\pi }{2}\right)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{\sin \left(-\frac{\pi }{2}+\theta\right)}$

Now, using the difference of sin

Note: state that $\text{sin}(\alpha\pm \beta)=\text{sin}(\alpha) \text{cos}(\beta) \pm \text{cos}(\alpha) \text{sin}(\beta)$

$\csc \left(\theta-\frac{\pi }{2}\right)=\frac{1}{-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)}$

Solving the difference of sin:

$-\cos \left(\theta\right)\sin \left(\frac{\pi }{2}\right)+\cos \left(\frac{\pi }{2}\right)\sin \left(\theta\right)$

$-\cos \left(\theta\right) \cdot 1+0\cdot \sin \left(\theta\right)$

$-\text{cos} \left(\theta\right)$

Then,

$\csc \left(\theta-\frac{\pi }{2}\right)=-\frac{1}{\cos \left(\theta\right)}$

Once

$\text{sec}(-\theta)=\text{sec}(\theta)$

And, $\text{sec}(\theta)=-0.73$

$-\frac{1}{\cos \left(\theta\right)}=-\text{sec}(\theta)$

$-\frac{1}{\cos \left(\theta\right)}=-(-0.73)$

$-\frac{1}{\cos \left(\theta\right)}=0.73$

Therefore,

$\csc \left(\theta-\frac{\pi }{2}\right)=0.73$

3 0

2 years ago

Solve the inequality |2h-3| >1

mel-nik [20]

Answer:

$\large\boxed{h>2\ \vee\ h$

Step-by-step explanation:

$|2h-3|>1\iff2h-3>1\ \vee\ 2h-34\ \vee\ 2h2\ \vee\ h$

5 0

3 years ago

What are the x and y-intercepts of the line described by the equation?

KiRa [710]

Answer:

x-int (6.2, 0)

y-int (0, 3.1)

Step-by-step explanation:

x-intercept is found when y = 0.

y-intercept is found when x = 0.

Step 1: Define equation

2x + 4y = 12.4

Step 2: Find x-intercept

<em>Substitute y for 0.</em>

2x + 4(0) = 12.4

2x = 12.4

x = 6.2

(6.2, 0)

Step 3: Find y-intercept

<em>Substitute x for 0.</em>

2(0) + 4y = 12.4

4y = 12.4

y = 3.1

(0, 3.1)

6 0

2 years ago

Need help in this please​

Need help in this please