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sleet_krkn [62]
3 years ago
9

What is the slope of a line perpendicular to the line whose equation is 4x−10y=404x−10y=40. Fully simplify your answer.

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer:

-  \frac{5}{2}

Step-by-step explanation:

4x -10y= 40

Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.

10y= 4x -40

Divide both side by 10:

y =  \frac{2}{5} x - 4

The product of the gradients of perpendicular lines is -1.

⅖(gradient of line)= -1

Gradient of perpendicular line

=  - 1 \div  \frac{2}{5}

=  - 1 \times  \frac{5}{2}

=  -  \frac{5}{2}

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6. Lines C and D below are cut by transversal, t. Which of
ra1l [238]

Answer:

m∠8 = m∠2, option G

Step-by-step explanation:

Angles 8 and 2 are alternate interior angles, which means they are equal. Thus, the answer is option G, m∠8 = m∠2

8 0
3 years ago
PLEASE respond as soon as possible, If the answer is valid ill mark you as brilliantest!!!
Burka [1]

Answer:

Option B) 18 is the correct answer.

Step-by-step explanation:

Let n(A) be the shoppers who purchased at an online store

Let n(B)  be the shoppers who purchased at a locally-owned store

Let n(C)  be the shoppers who purchased at  a big-box store

n(A ∩ B) is the shoppers who purchased at an online store and at a locally-owned store

n(B ∩ C) be the shoppers who purchased at a locally-owned store and at  a big-box store

n(C ∩ A)  is the shoppers who purchased at an online store and at a locally-owned store and at an online store

From the Venn diagram,

n(A) = 109

n(B) = 34

n(C) =  107

n() = 38

n(B ∩ C) = 17

n(C ∩ A) = 57

On Comparing the Venn Diagrams, we could find that  shoppers made a purchase at an online store, a locally-owned store, and a big-box store [n( A ∩ B∩ C)] = 18

3 0
3 years ago
For which of the following is x = -5 a solution? Select all that apply.
ser-zykov [4K]

Answer:

b. -x^2 + 50 = 25

c. |2x| = 10

d. x < 0

e. 2x < 10

Step-by-step explanation:

x = -5

-(-5)² + 50

-25 + 50 = 25

|2(-5)| = |-10| = 10

-5 < 0

2(-5) = -10 < 10

8 0
3 years ago
Brandy set her watch 4 seconds behind and it falls behind another 1 second every day. How many days had it been since brandy las
kari74 [83]

Answer:

18 days

Step-by-step explanation:

Let x represent number of days.

We have been given that Brandy's watch falls 1 second every day. So Brandy's watch will fall 1x seconds behind in x days.

We are also told that Brandy set her watch 4 seconds behind, so Brady's watch will be behind by total x+4 seconds in x days.

Since Brady's watch is 22 seconds behind, so we will equate x+4 by 22 to solve for x as:

x+4=22

x+4-4=22-4

x=18

Therefore, Brandy set her watch 18 days ago.

5 0
3 years ago
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Lady_Fox [76]

Answer:

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4 0
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