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4 years ago

write the standard form of the equation of the line described. through (-2,3), perpendicular to y=2/7x+5

1 answer:

4 0

The general form of a linear equation is
y = mx + b
where m = slope and b = y-intercept
Here m = 2/7
To get to its perpendicular equation, first the slope should be negative reciprocal. So the perpendicular slope is m = -7/2
Given the point (-2,3), use the point-slope form equation, that is
y - y1 = m(x - x1)
Plug in
y - 3 = (-7/2)[x - (-2)]
y - 3 = (-7/2)x - 7
y = (-7/2)x - 7 + 3
y = (-7/2)x - 4
That is the equation required.

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A pharmacy claims that the average medication costs $32 but it could differ as much as $8. Write and solve an absolute value ine

Vinil7 [7]

Answer:

Therefore, Option C is correct that is $|x-32|\leq8|{\text{the medication costs range from $24to $40}$ .

Step-by-step explanation:

We have given medication cost $32

Since, we have given as much as 8 so the inequality will maximum goes upto 8.

$|x-32|\leq8$

Now, we will solve the inequality for x we will get

We will first open the modulus function by its definition we will get

which is |x| is +x and -x

$(x-32)\leq8$

$x=32+8=40$

$x=40$

And $-(x-32)\leq8$

$-x+32=8$

$x=24$

Therefore, Option C is correct

8 0

3 years ago

Read 2 more answers

#3 find domain and range using interval notation

kkurt [141]

Hey there! :)

Answer:

D : [-4, ∞)

R: [-2, ∞)

Step-by-step explanation:

Notice that one end of the graphed function has a closed circle, and one end is a line. We must use specific brackets accordingly:

[ is used for closed points.

( is used for arrows or open circles.

Therefore:

This graph goes from x = -4 towards x ⇒∞. Therefore:

D : [-4, ∞)

The range of this function goes from x = -2 towards y⇒ ∞. Therefore:

R: [-2, ∞)

6 0

4 years ago

In △ABC, m∠A=19°, a=13, and b=14. Find c to the nearest tenth.

34kurt

We know that
Applying the law of sines

step 1
Find the value of angle B
a=13
b=14
A=19°
so

$\frac{a}{sin A} = \frac{b}{sin B} \\ a*sin B=b*sin A \\ sin B= \frac{b}{a}*sin A \\ sin B= \frac{14}{13} *sin 19 \\ sin B=0.3506 \\ B=arc sin(0.3506) \\ B=20.5$ °

step 2
with angle A and angle B find the angle C
A+B+C=180-----> solve for C
C=180-(A+B)------> C=180-(19+20.5)-----> C=140.5°

step 3
$\frac{a}{sin A} = \frac{c}{sin C} \\ a*sin C=c*sin A \\ c=a* \frac{sin C}{sin A} \\ c=13* \frac{sin 140.5}{sin 19} \\ c=25.4$

the answer is
the value of c is 25.4

3 0

3 years ago

Gcf of 3y^2,6y^3,10y^4

Stolb23 [73]

The GCF of those three monomials is y².

7 0

3 years ago

What's -1 80/99 in decimal form

Daniel [21]

Answer: 1.80

Step-by-step explanation:

8 0

3 years ago