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Pani-rosa [81]
3 years ago
10

18 = -5b - 17 help?

Mathematics
2 answers:
Sindrei [870]3 years ago
6 0
First you need to add 17
35= -5b then divide by -5
-7 = b <------ that's your answer

cricket20 [7]3 years ago
4 0
Its b= -0.2 or b= 1/-5 whichever one works best 
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A telescope contains both a parabolic mirror and a hyperbolic mirror. They share focus ​, which is 46feet above the vertex of th
uranmaximum [27]

the center is at the origin of a coordinate system and the foci are on the y-axis, then the foci are symmetric about the origin.

The hyperbola focus F1 is 46 feet above the vertex of the parabola and the hyperbola focus F2 is 6 ft above the parabola's vertex. Then the distance F1F2 is 46-6=40 ft.

In terms of hyperbola, F1F2=2c, c=20.

The vertex of the hyperba is 2 ft below focus F1, then in terms of hyperbola c-a=2 and a=c-2=18 ft.

Use formula c^2=a^2+b^2c

2

=a

2

+b

2

to find b:

\begin{gathered} (20)^2=(18)^2+b^2,\\ b^2=400-324=76 \end{gathered}

(20)

2

=(18)

2

+b

2

,

b

2

=400−324=76

.

The branches of hyperbola go in y-direction, so the equation of hyperbola is

\dfrac{y^2}{b^2}- \dfrac{x^2}{a^2}=1

b

2

y

2

−

a

2

x

2

=1 .

Substitute a and b:

\dfrac{y^2}{76}- \dfrac{x^2}{324}=1

76

y

2

−

324

x

2

=1 .

7 0
3 years ago
Jessica lived in spain and colombia for a total of 18 months in order to learn spanish. She learned an average of 160 words per
Artyom0805 [142]

Answer:

Jessica spent 10 months in Spain and 8 months in Colombia.

Step-by-step explanation:

Let x be the number of months Jessica lived in Spain, then she lived 18 - x months in Colombia.

She learned an average of 160 words per month when she lived in Spain, so she learned 160x words in Spain.

She learned an average of 200 words per month when she lived in Colombia, so she learned 200(18-x) words in Colombia.

In total, she learned a total of 3,200 new words, thus

160x+200(18-x)=3,200\\ \\160x+3,600-200x=3,200\\ \\160x-200x=3,200-3,600\\ \\-40x=-400\\ \\x=10

Jessica spent 10 months in Spain and 8 months in Colombia.

5 0
3 years ago
An arts academy requires there to be 5 teachers for every 95 students and 4 tutors for every 40 students how many students does
Whitepunk [10]

Answer:

19 students per teacher and 10 students per tutor

Step-by-step explanation:

To find the amount of students per teacher and per tutor you have to divide

95 students /5 teachers

19 students per teacher

40 students /4 tutors

10 studetns pet tutor

5 0
2 years ago
Please answer correctly <br> Option d is x=10 the picture was to big to include that option
Sladkaya [172]

Answer:

The answer is x = 10.

Step-by-step explanation:

Use the pythagorean theorem.  A would be 6, B would be 8, and C would be solved by the product of that.

7 0
3 years ago
courtney has 155 coins in her purse. all of the coins are quarters and dimes, worth a total of $30.20. how many quarters does sh
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