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allsm [11]
3 years ago
13

Simplify the expression 4(x+y) + 3y

Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
6 0

Answer:

4x + 7y

Step-by-step explanation:

4(x+y) + 3y

Distribute

4x+ 4y+ 3y

add like terms

4x + 7y

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Find the slope of the line through the pair of points: (5, 20) and (4, -17)
aliya0001 [1]

Answer:

m (slope) = 37

Step-by-step explanation:

use the slope-line formula, y2 - y1/x2 - x1

put in coordinates (5, 20) for x1 and y1

put in coordinates (4, -17) for x2 and y2

simplify

8 0
3 years ago
Read 2 more answers
The graph of the line y = 5x + 7 would cross what number on<br> the y-axis? How do you know?
Anna [14]

Answer: 7

Step-by-step explanation: 7 is the y intercept in the slope intercept form. y=slopex+y-intercept

3 0
3 years ago
What is the following product? (5 square root 2-4 square root 3) (5 square root 2-4 square root 3)
Zina [86]

Answer:

(5 square root 2-4 square root 3) (5 square root 2-4 square root 3)

=   98 - 40\sqrt{6}

Step-by-step explanation:

i) (5\sqrt{2} - 4\sqrt{3}) × (5√2 - 4√3)

=(5\sqrt{2} × 5\sqrt{2}) - (5\sqrt{2} × 4\sqrt{3}) - (4\sqrt{3} × 5\sqrt{2}) + (4\sqrt{3} × 4\sqrt{3})

= 50 - 20\sqrt{6} - 20\sqrt{6} + 48

= 98 - 40\sqrt{6}

8 0
3 years ago
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Solve z ÷ (–7) = –1.<br> A. 7 B. -7 C. 1/7 D. 6
aalyn [17]

Answer:

A. 7

Step-by-step explanation:

z ÷ (–7) = –1.

multiply each side by -7

z ÷ (–7)*-7 = –1.*-7

z = 7

6 0
3 years ago
Read 2 more answers
What is the exact value of cos (67.5° )?
Brilliant_brown [7]

Answer:

0.38268343

Step-by-step explanation:

cos( 67.5 )

Rewrite  

67.5

as an angle where the values of the six trigonometric functions are known divided by  2 . cos ( 135\ 2)

Apply the cosine half-angle identity.

±

√

1

+

cos

(

135

)

2

 

Change the  

±

to  

+

because cosine is positive in the first quadrant.

√

1

+

cos

(

135

)

2

Simplify  

√

1

+

cos

(

135

)

2

√

2

−

√

2

2

The result can be shown in multiple forms.

Exact Form:

√

2

−

√

2

2

Decimal Form:

0.38268343

…

6 0
3 years ago
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