Question 1 (1 point)

(PLEASE HELP 15 POINTS I HAVE 7 MINS) explain your awnser what are the x- and the y-interceptions of 3x - 2y = 18

S_A_V [24]

The given equation is

$3x-2y=18$

x intercept

To find the x intercept, we have to plug 0 for y and solve for x.That is

$3x-2(0)=18
\\
3x=18
\\
x=6$

So x intercept is (6,0) .

y intercept

To find the y intercept , we have to plug 0 for x and solve for y. That is

$3(0)-2y=18
\\
-2y=18
\\
y=-9$

So the y intercept is (0,-9) .

4 0

3 years ago

Consider the expression 2√3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3 This expression can be represented as the product of the factors.

Alla [95]

Answer with explanation:

The given expression is:

$2 \sqrt{3}\cos x * \csc x+4 \cos x-3 \csc x-2\sqrt{3}\\\\=2 \cos x*(\sqrt{3}*\csc x+2)-\sqrt{3}*(\sqrt{3}*\csc x+2)\\\\\rightarrow (2\cos x -\sqrt{3})*(\sqrt{3}*\csc x+2)\\\\\rightarrow (2\cos x -\sqrt{3})*(\sqrt{3}*\csc x+2)=0\\\\(2\cos x -\sqrt{3})=0 \wedge (\sqrt{3}*\csc x+2)=0$

$\cos x=\frac{\sqrt{3}}{2} \wedge \csc x=\frac{-2}{\sqrt{3}}\\\\x=\frac{\pi}{6},2\pi-\frac{\pi}{6}\\\\x=\frac{\pi}{6},\frac{11\pi}{6} \wedge x=\pi+\frac{\pi}{3} ,2\pi-\frac{\pi}{3}\\\\x=\frac{4\pi}{3},\frac{5\pi}{3}\\\\x={\frac{\pi}{6},\frac{11\pi}{6},\frac{4\pi}{3},\frac{5\pi}{3}}$

Option C

8 0

3 years ago

A map of a park says its scale is 1 to 100. What does that mean?

Alex777 [14]

A scale is a term that refers to the representative fraction for comparing the original length and image length of a given object. It means implies that every 1 unit on the drawing is equal to 100 units on the park.

A scale is a term that can be referred to as the representative fraction that compares the original length and image length of a given object. Types of scale include enlarged scale, reduced scale, and real scale.

Enlarged scale is a scale that is used when the size of a given object is to be increased.
Reduced scale is used when the size of a given object is to be decreased.
Real scale implies the exact size of a given object.

Scale can be expressed as;

Scale = $\frac{length on drawing}{original length}$

Thus a scale has no unit.

Therefore, the given question implies that every 1 unit on the drawing is equal to 100 units on the original park. Thus it is a reduced scale.

For more clarifications on a scale drawing, visit: brainly.com/question/23209981

#SPJ1

6 0

1 year ago

A pipe dispenses 52 gallons of water in 5 minutes. What is the unit rate? in how many minutes will 76 gallons be pumped?

prohojiy [21]

Answer:

66

Step-by-step explanation:

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6 0

2 years ago

Please help me with the question please ASAP ASAP please ASAP help please please ASAP please please help please

uysha [10]

The length of AD is 75. Since opposite sides have the same length, 63 plus 63 is 126. The perimeter is 276, so 276 minus 126 is 150. 150 divided by 2 is 75.

7 0

3 years ago