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zysi [14]
2 years ago
13

Find the X and Y intercept of line 2x+3y=-12 X-intercept - Y- Intercept-

Mathematics
1 answer:
vivado [14]2 years ago
7 0

Answer:

  • Let us rearrange
  • 3y=-2x-12
  • y=-2/3x-4
  • So y intercept is -4
  • I also do exams and quizzes if your interested :)
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a 136 foot tall cell phone tower casts a 79.9 foot shadow. find the shadow length for a nearby 40 foot telephone pole
AleksAgata [21]

Given :

A 136 foot tall cell phone tower casts a 79.9 foot shadow.

To Find :

The shadow length for a nearby 40 foot telephone pole .

Solution :

We know , the ratio of height and shadow , will be same for every object .

Let , length of shadow of pole is x .

So ,

\dfrac{79.9}{136}=\dfrac{x}{40}\\\\x=\dfrac{79.9\times 40}{136}\ foot\\\\x=23.5\ foot

Therefore , the length of shadow of tower is 23.5 foot .

Hence , this is the required solution .

3 0
3 years ago
A manufacturer of prefabricated homes has decided to subcontract four components of the homes. Several companies are interested
Xelga [282]

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Let x_{ij}=1 when i is the element itself is allocated to 'j' i_0

Min  

185X_{1A}+225X_{1B} +193X_{1C} +207X_{1D} +200X_{2A} +190X_{2B} +175X_{2C}+225X_{2D}+330X_{3A} +320X_{3B} +315X_{3C}+300X_{3D}+375X_{4A}+389X_{4B}+425X_{4C}+ 445X_{4D}

Subject to:

X_{1A} +X_{1B}+X_{1C}+X_{1D}=1\\\\X_{2A} +X_{2B}+X_{2C}+X_{2D}=1\\\\X_{3A} +X_{3B}+X_{3C}+X_{3D}=1\\\\X_{4A} +X_{4B}+X_{4C}+X_{4D}=1\\\\X_{1A} +X_{2A}+X_{3A}+X_{4A}=1\\\\X_{1B} +X_{2B}+X_{3B}+X_{3B}=1\\\\X_{1C} +X_{2C}+X_{3C}+X_{4C}=1\\\\X_{1D} +X_{2D}+X_{3D}+X_{4D}=1

4 0
3 years ago
What is the slope of a line with points -5,7 and 1,1
KATRIN_1 [288]

Answer

6/-11

Step-by-step explanation:

use the slope formula m= \frac{y 2-y 1}{x 2-x 1}

then sub in numbers m=\frac{7-1}{-5-1}

now subtract numerator and the denominator

7-1= 6    and

-5-6=-11  this now looks like  \frac{6}{-11}    

8 0
3 years ago
Identify the exact value of 157.5°
steposvetlana [31]
<span>exact value of sin 157.5 without using a calculator
sin(157.5)=sin(315/2)
Identity: sin(x/2)=±√[(1-cosx)/2]
select positive identity since 175 is in the 2nd quadrant where sin>0
sin(315/2)=√[(1-cos315)/2]

cos 315=cos45 in quadrant IV=√2/2
sin(315/2)=√[(1-√2/2)/2]=√[(2-√2)/4]=√(2-√2)/2
sin(157.5)=√(2-√2)/2
check using calculator:
sin157.5º≈0.382...
√(2-√2)/2≈0.382...</span>
8 0
3 years ago
Consider the expression below.
qwelly [4]

Answer:

x = - 9, x = - 4

Step-by-step explanation:

Set (x +)(x + 9) equal to zero, that is

(x + 4)(x + 9) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x + 9 = 0 ⇒ x = - 9

Thus

x = - 9, x = - 4

5 0
3 years ago
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