1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Maru [420]
3 years ago
11

Question 1 (1 point)

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

1) 2y^{2}+4y-9

2) 18x^{5}y^{4}z

3) 6x^{5}-12x^{4}+9x^{3}

4) 40

5) x^{3}-7x^{2}+3x+36


Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}

4) (4a+5)^{2} is a square of a sum, then, by definition you have:

(a+b)^{2}=a^{2}+2ab+b^{2}

Then:

(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5)  Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36

You might be interested in
If vector A⃗ has components Ax and Ay and makes an angle θ with the +x axis, then...
Lesechka [4]
If vector A⃗ has components Ax and Ay and makes an angle θ with the +x axis, then tanθ = Ay/Ax to get the angle of the vector components. Since the trigonometric function of tanθ is sinθ over cosθ, and since sinθ = y/r and cosθ = x/r.
7 0
3 years ago
Simplify the expression:<br> 10x–6x2+6x2+5
marta [7]

10x + 9

because the -6x and positive 6x cancel out and all you have left is 2+2+5 and 10x

6 0
3 years ago
Solve for
garri49 [273]

Answer:

I do not understand the question

5 0
3 years ago
Find the equation of the line that is perpendicular to the line y = (-1/3)x -1 and passes through the point (1, 5)?
Anit [1.1K]

bearing in mind that perpendicular lines have negative reciprocal slopes, so


\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{10em}\stackrel{slope}{y=\stackrel{\downarrow }{-\cfrac{1}{3}}x-1} \\\\[-0.35em] ~\dotfill


\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{1}\implies 3}}


so we're really looking for a line whose slope is 3 and runs through (1,5)


\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-5=3(x-1) \\\\\\ y-5=3x-3\implies y=3x+2

4 0
3 years ago
Sorry the pic is fuzzy but can you help?
-BARSIC- [3]

Step-by-step explanation:

may it be

9.6

may it help u

6 0
2 years ago
Other questions:
  • 3b=4a. 2c=5c.<br> find a:b:c
    15·1 answer
  • Let F(x,y)=1+sqrt(4-y^2). . (a) Evaluate F(3,1). (b) Find and sketch the domain of F. (c) Find the range of F
    15·2 answers
  • What is the quotient of -8a^8b^-2/10a^-4b^-10 in simplified form? Assume a=0 b=0
    13·2 answers
  • What is 7C3?<br> a.35<br> b.210<br> С.5040<br> D. 6
    7·1 answer
  • A bag contains 6 red marbles, 6 white marbles, and 4 blue marbles find P(red or blue).
    15·1 answer
  • If a ants can dig b tunnels in c hours, how many tunnels can b ants dig in a hours?
    13·1 answer
  • El área de un rectángulo es 6 x al cuadrado más 2x en cm Determine su base y altura​
    10·1 answer
  • Find the measure of
    10·1 answer
  • Get it right get Brainlyist
    12·1 answer
  • Write 27/40 as a decimal.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!