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Cloud [144]
3 years ago
5

Using the slope of 7 and y-intercept of (0, 16), write an equation of the line

Mathematics
1 answer:
Katen [24]3 years ago
6 0

Answer:

y = 7x + 16

Step-by-step explanation:

Slope (m) = 7

y - intercept (b) = 16..{from (0, 16)}

Equation of line in slope intercept form is given as:

y = mx + b \\  \therefore \: y = 7 \times x + 16 \\   \huge \red{ \boxed{ \therefore \: y = 7 x + 16 }}

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Express 0.0057 in scientific notation
andrew-mc [135]

Answer:

5.7 \times  {10}^{ - 3}

Step-by-step explanation:

0.0057

first number

5

then the rest

7

equal

5.7

There's <u>three</u> zeros <u>behind</u> the number 5 which mean it will be -3

\times  {10}^{ - 3}

final answer

5.7 \times {10}^{ - 3}

another example and it will be clear

0.0000403

first number

4

then the rest

03

equal

4.03

There's <u>five</u> zeros <u>behind</u> the number 4 which mean it will be -5

\times {10}^{ - 5}

final answer

4.03 \times {10}^{ - 5}

3 0
3 years ago
The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

6 0
3 years ago
Which of the following is equivalent to √-90?<br> A. -3i√10<br> B. 3i√10<br> C. 9i√10<br> D. 9√-10
erastova [34]
The answer to this question is B.  I hope this helps
7 0
3 years ago
Read 2 more answers
Use the distributive to find the price of 4 CDs that cost 14.99 each
Eva8 [605]
59.96. 

If you distribute 4 to 14.99 then you get the answer above. 
4 0
3 years ago
HELP ME PLEASE......
kirza4 [7]

Answer:

-2

Step-by-step explanation:

intercept at (0, -2)

3 0
3 years ago
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