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wolverine [178]
3 years ago
13

Write the equation of a line in slope intercept form which has ay−intercept of 7 and a slope of 4.

Mathematics
1 answer:
julsineya [31]3 years ago
8 0
The answer is y=4x+7
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Q2.<br>a) Is the equality √a^4 = a valid for all values of a? Explain.<br>​
allochka39001 [22]

Answer:

The equality is only true for a = 0\ and\ 1, not for all values

Step-by-step explanation:

Given

(\sqrt a)^4 = a

Required

Determine if it is valid

(\sqrt a)^4 = a

Evaluate the exponent

(a^\frac{1}{2})^4 = a

a^\frac{1*4}{2} = a

a^2 = a

Rewrite as:

a^2 - a = 0

Factorize

a(a- 1) = 0

a =0\ or\ a - 1 = 0

a =0\ or\ a = 1

<em>The equality is only true for </em>a = 0\ and\ 1<em>, not for all values</em>

7 0
2 years ago
Which sentence describes why polygon MNOP is congruent to polygon JKLP?
svetlana [45]
The segment MN is equal in size to the segment JK, the segment NO is equal in size to the segment KL, the segment OP is equal in size to the segment LP.
7 0
3 years ago
How many pounds of blueberries can you buy for $13.00?
Masteriza [31]
Well have many blueberries does it take to make one lbs?
7 0
2 years ago
Read 2 more answers
I need help, someone help me, please
lara [203]

Answer:

(a): 46 degrees

(b): 63 degrees

(c): 27 degrees

(d): 60 degrees

Step-by-step explanation:

6 0
2 years ago
A movie theater has a seating capacity of 197. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
yarga [219]

Answer: 74 children attended

86 students attended

37 adults attended

Step-by-step explanation:

Let x represent the number of children that attended.

Let y represent the number of students that attended.

Let z represent the number of adults that attended.

The movie theater has a seating capacity of 197. It means that

x + y + z = 197- - - - - - - - - - - - -1

The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. If the total ticket sales was $ 1416, It means that

5x + 7y + 12z = 1416- - - - - - - - - - 2

There are half as many adults as there are children. It means that

It means that

z = x/2

x = 2z

Substituting x = 2z into equation 1 and equation 2, it becomes

2z + y + z = 197

y + 3z = 197- - - - - - - - - - - - -3

5 × 2z + 7y + 12z = 1416

10z + 7y + 12z = 1416

7y + 22z = 1416- - - - - - - - - - - 4

Multiplying equation 3 by 7 and equation 4 by 1, it becomes

7y + 21z = 1379

7y + 22z = 1416

Subtracting, it becomes

- z = - 37

z = 37

x = 2z = 2 × 37

x = 74

Substituting x = 74 and z = 37 into equation 1, it becomes

74 + y + 37 = 197

y = 197 - 74 - 37

y = 86

5 0
3 years ago
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