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3 years ago

15

B 13.5 cm 9 cm A 15 cm 12 cm 18 cm what is the value of x?

1 answer:

Bad White [126]3 years ago

3 0

Answer:

hey sorry I didn't get the question well. hope someone helps

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1. Which binomial is a factor of f(x) = x^4 + 7x^3 - 7x^2 - 43x + 42?

denis23 [38]

F(x) = x^4 + 7x^3 - 7x^2 - 43x + 42
f(1) = 1^4 + 7(1)^3 - 7(1)^2 - 43(1) + 42 = 1 + 7 - 7 - 43 + 42 = 0
Since f(1) = 0, therefore (x - 1) is factor.

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3 years ago

For which value of θ is tan θ equal to sin θ?

UkoKoshka [18]

Answer:

Step-by-step explanation:

$tan \theta=sin \theta\\tan~ \theta-sin~ \theta=0\\\frac{sin ~\theta}{cos~\theta} -sin\theta=0\\multiply ~by~cos~\theta\\sin ~\theta-sin~\theta~cos~\theta=0\\sin \theta(1-cos \theta)=0\\sin~\theta=0=sin k\pi \theta=k \pi ,where~k~is~an~integer.\\or cos\theta=1=cos 2k\pi \\\theta=2k\pi \\where~k~ is~an ~integer.\\combining\\\theta=k\pi \\where~k~is~an~integer.$

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3 years ago

Write down 4 odd digit numbers that will add up to 19

yawa3891 [41]

<h2>There is no 4 odd digits that will add up to 19.</h2>

3 0

3 years ago

in triangle abc and triangle def angle a=angle d and angle b= angle e and ab=ef. will the 2 triangles be congruent ? justify you

Naddika [18.5K]

Answer:

Step-by-step explanation:

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8 0

2 years ago

Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each

cestrela7 [59]

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

<em>Translating the word problem into an algebraic equation, we have;</em>

$J = 3G$ ..........equation 1

$G = C + 6$ ........equation 2

$J + G + C = 149$ ........equation 3

<em>We would solve the linear equations by using the substitution method; </em>

<em>Substituting equation 2 into equation 1;</em>

$J = 3(C + 6)$

$J = 3C + 18$ ........equation 4

<em>Substituting equation 2 and equation 4 into equation 3;</em>

$(3C + 18) + (C + 6) + C = 149$

<em>Simplifying the equation, we have;</em>

$5C + 24 = 149$

$5C = 149 - 24$

$5C = 125$

$C = \frac {125}{5}$

C = 25 years.

To find G; from equation 2

$G = C + 6$

Substituting the value of "C" into equation 2, we have;

$G = 25 + 6$

G = 31 years.

To find J; from equation 1

$J = 3G$

Substituting the value of "G" into equation 1, we have;

$J = 3 * 31$

J = 93 years.

<em>Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old. </em>

4 0

3 years ago