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Leto [7]
3 years ago
9

What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

 

Rewrite the given equation in slope intercept form:

5 y = 10 – 2 x

y = - 0.4 x + 2

 

Since the two lines are parallel, therefore they have similar slope which is – 0.4, so the equation is:

y = - 0.4 x + b

Given that x = 5, y = -4, find for b:

-4 = - 0.4 (5) + b

b = -2

 

So the answer is:

y = - 0.4 x – 2

or

<span>2 x + 5 y = - 10</span>

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PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS OR WILL BE REPORTED
GarryVolchara [31]

Answer:

height is 15

Y = L = Length

therefore 15y = (-x^2) +(300/20)

Step-by-step explanation:

15 = -x^2 +(300/20)

is the same as;

15 = (300/20) - (x^2)

we just add y to 15 and that can represent a division for x

y = L

Where area cm^2 can be shown as 300 as 15 x 20 = 300

when we divide by length we get the height as asked in the question.

7 0
3 years ago
Can you help me please
xenn [34]
(2, -3)

The Answer is A
3 0
3 years ago
In a large population of college-educated adults, the mean IQ is 118 with a standard deviation of 20. Suppose 200 adults from th
cricket20 [7]

Answer: 0.0793

Step-by-step explanation:

Let the IQ of the educated adults be X then;

Assume X follows a normal distribution with mean 118 and standard deviation of 20.

This is a sampling question with sample size, n =200

To find the probability that the sample mean IQ is greater than 120:

P(X > 120) = 1 - P(X < 120)

Standardize the mean IQ using the sampling formula : Z = (X - μ) / σ/sqrt n

Where;  X = sample mean IQ; μ =population mean IQ; σ = population standard deviation and n = sample size

Therefore, P(X>120) = 1 - P(Z < (120 - 118)/20/sqrt 200)

                                 = 1 - P(Z< 1.41)

The P(Z<1.41) can then be obtained from the Z tables and the value is 0.9207

Thus; P(X< 120) = 1 - 0.9207

                          = 0.0793

3 0
3 years ago
If this trapezoid is moved through the translation (x-1,y+1) what will the coordinates of A' be
elena-s [515]

If the traslation is T(x,y)=(x-1,y+1) then:

T(-6,2)=(-6-1,2+1)=(-7,3)

Therefore A'=( -7,3).

6 0
1 year ago
A total of 326 adult and student tickets were sold for a high school play. The ticket prices were $8 for adults and $5 for stude
Trava [24]

Answer:

212 tickets were sold

Step-by-step explanation:

a (adult) + s (student) = 326

8a + 5s = 1972

-5(a + s = 326)

-5a-5s=1630

3a/3 = 342/3

a = 114

114 + s = 326

s = 212

4 0
3 years ago
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