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coldgirl [10]
2 years ago
15

Multiply and fill in the blanks

Mathematics
1 answer:
Julli [10]2 years ago
6 0

The solution to the simplification of the algebraic expressions are;

A) 5p³q + 5pq³ + 5p²q

B) 14pqr² - 7p²qr

C) 20x² - 15xy - 16ax + 12ay

A) We have the expression;

5pq(p² + q² + pq)

Multiplying out using the concept of distributive property, we have;

(5pq × p²) + (5pq × q²) + (5pq × pq)

>> 5p³q + 5pq³ + 5p²q

B) We have the expression;

-7pr(pq – qr - rq)

Multiplying out using the concept of distributive property, we have;

-7p²qr + 7pqr² + 7pqr²

>> 14pqr² - 7p²qr

C) (4x - 3y)(5x - 4a)

By quadratic expansion, we have;

(4x * 5x) - (3y * 5x) - (4x * 4a) + (4a * 3y)

>> 20x² - 15xy - 16ax + 12ay

Read more about simplification of algebra at; brainly.com/question/4344214

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What is the equation of a line that has a slope of -2/3 and a x-intercept of -3?
garri49 [273]

For this case we have that, by definition, the equation of a line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cutting point with the y axis

We have, according to the statement data that:

m = - \frac {2} {3}

So, the equation is of the form:

y = - \frac {2} {3} x + b

We also have that the line intersects the "x" axis at -3, that is, the line passes through the point (x, y): (- 3,0)

We substitute to find "b":

0 = -\frac {2} {3} (- 3) + b\\0 = -2 + b\\b = 2

Finally, the equation is of the form:

y = - \frac {2} {3} x + 2

Answer:

y = - \frac {2} {3} x + 2

6 0
3 years ago
If x+y = 10<br>and xy 21<br>find 2(x² + y ² )<br>​
Sati [7]

Answer:

158

Step-by-step explanation:

2(x square + y square)

2 (X+y) square -2 xy

2(10) square -2(21)

2×100-42

200-42

=158

7 0
4 years ago
Steffan cycled 10km in 45 minutes. He rested for
postnew [5]

Answer:  If you measure out a 10k course and then time how long it takes you to ride it, that will tell you which speed range to use and what time to input. If you weigh 185 pounds and fall into the 12 to 13 mph range, it will take you about 30 minutes to pedal 10k — which means that according to the ACE estimates, you will burn about 335 calories.

Step-by-step explanation:

Hope this helps!

3 0
3 years ago
Read 2 more answers
What is the reason for each step in the solution of the inequality? 28−3(x−2)&lt;5x+10
NeTakaya

Answer:

1. 28 − 3(x − 2) < 5x + 10            Given

2. 28 − (3)(x) + (-3)(-2) < 5x + 10       Distributive Property <em>a(b + c) = ab+ ac</em>

28 − 3x + 6 < 5x + 10

3.  (28 + 6) - 3x < 5x + 10             Combine Like Terms

34 − 3x < 5x + 10

4. 34 - 3x + 3x < 5x + 3x + 10             Addition Property of Order

34 < 8x + 10

5. 34 - 10 < 8x + 10 - 10        Subtraction Property of Order

24 < 8x

6. 24/8 < 8x/8        Division Property of Order

3 < x

5 0
3 years ago
Y= 2x - 3<br> y= -x + 9<br><br> Graph the solution
Stella [2.4K]
Y = 2x - 3
y = -x+ 9

2x-3 = -x+9
2x+x = 9+2
3x = 12
x = 12/3
x = 4

y = 2(4)-3
y = 8-3 = 5

Mark on (4,5) & draw the line from origin.

Hope this helps!

4 0
3 years ago
Read 2 more answers
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