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2 years ago

Help Evaluate each expression for d = -3.

Mathematics

1 answer:

Pavel [41]2 years ago

3 0

Answer:
1) 9
2) 7
3) -10
4) -54
5) -64

Step-by-step explanation:
It’s just basic substitution
Hope this helps!

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Find the sum or difference (2c-4)+(5c+11)

laiz [17]

Remove parentheses
2c - 4 + 5c + 11
Combine like terms
Answer: 7c + 7

7 0

3 years ago

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: Multiply the slopes :-

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

Hence the value of a is 9 .

8 0

2 years ago

Ramon has started a workout program. On Monday, he did 10 push-ups. On Tuesday, he did 13 push-

nevsk [136]

Answer:

he will do 19 pushups

Step-by-step explanation:

He will do 19 push ups because the pattern Is going up by 3 each days so if you add 3 to 16 you will get 19!!!!!

Hope This Helped :)

7 0

3 years ago

Read 2 more answers

Mark which ratios are equivalent to 5/7. Mark all that apply.

HACTEHA [7]

Answer:

5/10 20/28

Step-by-step explanation:

i think only these.. hope this helps..

6 0

3 years ago

Read 2 more answers

The first term in a sequence is 3 The term-to-term rule is + 8 What is the 5th term?

galben [10]

2nd term: 3+8
= 11
3rd term: 11+8
= 19
4th term: 19+8
= 27
5th term: 27+8
= 35

OR
((n-1)x8)+3

7 0

2 years ago