Answer:
c1) adjacent
c2) not adjacent
c3) adjacent
c4) not adjacent
c5) adjacent
c6) not adjacent
d1) 20°
Complement: 90° - 20° = 80°
Supplement: 180° - 20° = 160°
d2) 77°
Complement: 90° - 77° = 13°
Supplement: 180° - 77° = 103°
d3) 101°
Complement: doesn't have a complement.
Supplement: 180° - 101° = 79°
d4) 90°
Complement: 90° - 90° = 0°
Supplement: 180° - 90° = 90°
d5) 96°
Complement: doesn't have a complement
Supplement: 180° - 96° = 84°
d6) x
Complement: 90° - x
Supplement: 180° - x
d7) y
Complement: 90° - y
Supplement: 180° - y
Does it have a solution?
Answer:
It does since lets say X and Y equal 10 it works
Step-by-step explanation:
is this an expression or an equation? 4a + 3b-6cx9
Answer:
Expression
Step-by-step explanation:
Given expression :
4a+3b-6cx9
So this is expression not equation because equation consist zero on the righ side
Example: ax+b=0 (This is equation )
And
ax+b (This is expression)
Help pls pls pls pls
Answer:
(C).
[tex]height = \sqrt{ {29}^{2} - {21}^{2} } \\ = \sqrt{400} \\ = 20 \: units[/tex]
Remove parentheses by applying the Distrubitive Property. 5x^2(7- x^2)
Answer:
35x^2-5x^4
Step-by-step explanation:
You have to multiply the numbers on the outside to the numbers on the inside.
For example, 5x^2 times 7 would be 35x^2.
f(x) = x +1 and g(x) = {1/2x - 4. Which of the following is equal to g(f (2))?
A. -2
B. -5/2
C. 1/2x - 7/2
D. X - 7/2
-
Eight cards are labeled with numbers 2,3,4,5,7,9,10,11 respectively. One card is selected. What is the probability that the card is a prime number?
Answer:
62.5
Step-by-step explanation:
Because there are 5 prime numbers so you have to divide 100 by 8 and then multiply by 5 so the answer is 62.5
Factor this trinomial completely. 2x2 + 6x + 4 O
A. 2(x-2)(x + 1)
B. 2(x + 2)(x+1)
c. 2(x + 2)(x-1)
D. 2(x-2)(x - 1)
Answer:
B. 2(x+2)(x+1)
Step-by-step explanation:
[tex]\sf\purple{B. \:2(x + 2)(x+1) }[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 {x}^{2} + 6x + 4[/tex]
Taking 2 as common factor, we have
[tex] = 2 \: ( {x}^{2} + 3x + 2) \\ =2 \: ( {x}^{2} + 2x + x + 2)[/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] = 2 \:[x(x + 2) + 1(x + 2)][/tex]
Taking the factor [tex](x+2)[/tex] as common,
[tex] = 2(x + 2)(x + 1)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Find the common ratio of the geometric sequence -13, 117, -1053,...
Answer:
-9
Step-by-step explanation:
Find the common ratio by dividing one of the numbers in the sequence by the previous number:
117/-13
= -9
So, the common ratio is -9.
find the area of the triangle
increase 80 in the ratio 3:2 how
Answer:
Step-by-step explanation:
the second number be 2x. Therefore, the number 80 is divided in the ratio of 3:2 is, 48 and 32.
What is the solution to the system of equations
Answer:
(8,-9)
Step-by-step explanation:
solve the equation for x
x=13/5-3/5y
7x+8y=-16
substitute the given value of x into the equation 7x+8y= -16
7(13/5-3/5y)+8y= -16
solve the equation for y
7(13/5-3/5)+8y= -16
y= -9
substitute the given value of y into the equation x=13/5-3/5y
x=13/5-3/5x(-9)
solve for x
x=8
the ordered pair is (8,-9)
Answer:
The solution to this system of equations is x = 8, and y = -9
Step-by-step explanation:
Firstly we need to use the first equation to represent "x" in terms of "y", so we do the following...
[tex]5x + 3y = 13\\5x = 13 - 3y\\x = \frac{13}{5} - \frac{3}{5}y[/tex]
Now we take the second equation and replace "x" with an equal value in terms of "y" which we know from the previous equation, and just solve for "y".
[tex]7x + 8y = -16\\7(\frac{13}{5} -\frac{3}{5} y) + 8y = -16\\\\18\frac{1}{5} - 4\frac{1}{5} y + 8y = -16\\\\3\frac{4}{5}y = -34\frac{1}{5} \\\\y = -34\frac{1}{5} / 3\frac{4}{5} \\y = -9[/tex]
After we found the value of "y" we can find the value of "x" by using any of the two equations, we just have put "-9" instead of "y". For example...
[tex]5x + 3y = 13\\5x + 3(-9) = 13\\5x - 27 = 13\\5x = 13 + 27\\5x = 40\\x = 40 / 5\\x = 8[/tex]
Now we know that the solution to this system of equations is x = 8, and y = -9
g(x)= -16x2 + 64x + 80 where x is the number of seconds after the rocket is launched. The function can also be written in factored form as g(x) = -16 (x + 1)(x - 5). What is the y-intercept of the function? What does it represent?
Answer:
y=80
Step-by-step explanation:
when solve y-intercept let x=0
y= -16(0)2+64(0)+80
y=0+0+80
y=80
(0;80)
What are the challenges of similar triangles?
Answer:
There are two types of similar triangle problems; these are problems that require you to prove whether a given set of triangles are similar and those that require you to calculate the missing angles and side lengths of similar triangles. Subtract both sides by 130°. Hence; By Angle-Angle (AA) rule, ΔPQR~ΔXYZ.
Step-by-step explanation:
-1/2(-3/2x + 6x + 1) - 3x what is the equivalent expression
Answer:
Step-by-step explanation:
Apply the Distributive Property of Multiplication. Multiply each of the three terms inside parentheses by -(1/2):
(3/4)x - 3x - (1/2) - 3x, or
(3/4)x - 6x - 1/2
The first two terms can be combined, to obtain:
(-5 1/4)x - 1/2, or (-21/4)x - 1/2
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning. (2 points)
Answer:
Part A: x = y+45
Part B: 40 125-45 = 80, 80÷2 = 40
Part C: Yes, because 80+45 adds up to 125.
Hope this helps! :)
PLEASE ANSWER ASAP!!!
Answer:
False
Step-by-step explanation:
Step-by-step explanation:
YOU ARE CORRECT
[tex] {7}^{(1 \times 9)} = {7}^{5 + 5} \\ {7}^{9} \: \: \: \: \: \: \: \: \: \: \: {7}^{10} [/tex]
the equation is false
Slope intercept, only need help on number 3. HELP NEEDED ASAP, NO LINKS
Answer:
2) slope=2
y intervept=2
3) slope=1/2
y intercept=-6
4)slope=2
y intercept=4
My brain stopped. Please help
Answer:
∠1 = 90°
∠2 = 66°
∠3 = 24°
∠4 = 24°
Step-by-step explanation:
Usually the diagonals of a rhombus bisect each other at right angles.
Thus; ∠1 = 90°
Since they bisect at right angles, then;
∠R1S = 90°
Now, sum of angles in a triangle is 180°
Thus;
66° + 90° + ∠4 = 180°
156 + ∠4 = 180
∠4 = 180 - 156
∠4 = 24°
Now, also in rhombus, diagonals bisect opposite angles.
Thus; ∠4 = ∠3
Thus, ∠3 = 24°
Similarly, the diagonal from R to T bisects both angles into 2 equal parts.
Thus; ∠2 = 66°
1hr left on this test so confused
Which statement is true regarding the functions on the
graph?
Of(-3) = g(-4)
Of(-4)= (-3)
f(-3) = g(-3)
f(-4) = g(-4)
f(-3)=g(-4) 123456789012345
ha Dilruba Hai song Kisne gaya hai
Brainliest, 26 points
Jenna picked x amount of oranges. Josh picked twice as many oranges as Jenna, less 3. How many more oranges did Josh pick than Jenna?
3x -3
2x -3
x - 3
3x
Answer:
x - 3
Step-by-step explanation:
Jenna picked x.
Josh picked 2x - 3.
The difference is:
2x - 3 - x
which simplifies to
x - 3
Answer: x - 3
Help!!!!!!!!!!! :((((
Answer:
just subtract
Step-by-step explanation:
first go number by number and then subtract them and see the average rate of change and input that number
The graph shown here is the graph of which of the following rational
functions?
FN
O A. F(x)
O B. F(x)
O C. F(x) =
Help
Answer:
I think it's option B ...
Answer:
A.) F(x)=1/x-5
Step-by-step explanation:
Learn with an example
A line that includes the point (1, 2) has a slope of 9. What is its equation in slope-intercept
form?
Answer:
y = 9x + (-7) should be the answer
Cedric sends text messages at a constant rate of 5 messages per 1 hour. What equation would be used to represent this situation?
Answer:
...........................I would be I don't know
What is the slope of the line 3x -9y =4?
Answer:
1/3
Step-by-step explanation:
3x -9y =4
To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
Subtract 3x from each side
-9y = -3x+4
Divide each side by -9
-9y/-9 = -3x/-9 +4/-9
y = 1/3x -4/9
The slope is 1/3 and the y intercept is -4/9
Here,
3x -9y =4
To find the slope get the equation in slope intercept form ( y= mx+b where m is the slope and b is the y intercept)
Subtract 3x from each side
-9y = -3x+4
Divide each side by -9
-9y/-9 = -3x/-9 +4/-9
y = 1/3x -4/9
The slope is 1/3 and the y intercept is -4/9
[tex] \\ [/tex]
It is given the quadratic equation (q + 1 )x² - 8x + p = 0,where p and q are constants,has two equal real roots.Express p in terms of q.
Do help meeee!!!
Step-by-step explanation:
answer is in the photo above
Answer:
[tex]\displaystyle p = \frac{16}{q + 1}[/tex].
Step-by-step explanation:
Factor out the coefficient of [tex]x^{2}[/tex]:
[tex]\displaystyle \frac{1}{q + 1}\, [(q + 1)\, x^2 - 8\, x + p] = 0[/tex].
[tex]\displaystyle x^2 - \frac{8}{q + 1} \, x + \frac{p}{q + 1} = 0[/tex].
Let [tex]m[/tex] denote the real root of this equation. By the Factor Theorem, this equation would have the factor [tex](x - m)[/tex] repeated for two times in total:
[tex](x - m)^{2} = 0[/tex].
Expand to obtain: [tex]x^2 - 2\, m\cdot x + m^{2} =0[/tex].
Compare this expression with [tex]\displaystyle x^2 - \frac{8}{q + 1} \, x + \frac{p}{q + 1} = 0[/tex]:
[tex]\displaystyle -\frac{8}{q + 1} = -2\, m[/tex] (for the coefficient of [tex]x[/tex].)
[tex]\displaystyle \frac{p}{q + 1} = m^2[/tex] (for the constant.)
Rewrite the first equation to find an expression for [tex]m[/tex] in terms of [tex]q[/tex]:
[tex]\displaystyle m = \frac{4}{q + 1}[/tex].
Substitute this expression for [tex]m[/tex] into the second equation to find an expression for [tex]p[/tex] in terms of [tex]q[/tex]:
[tex]\displaystyle \frac{p}{q + 1} = m^2[/tex].
[tex]\displaystyle \frac{p}{q + 1} = \frac{4^2}{(q+1)^{2}}[/tex].
[tex]\displaystyle p = \frac{16}{q + 1}[/tex].
Verify that this expression for [tex]p[/tex] satisfies the requirements:
[tex]\displaystyle (q + 1) \, x^{2} - 8\, x + \frac{16}{q + 1} = 0[/tex].
[tex]\displaystyle x^2 - \frac{8}{q + 1} + \frac{16}{(q+1)^2} = 0[/tex].
[tex]\displaystyle x = \frac{4}{q + 1}[/tex] is the (repeated) real root of this quadratic equation.
Factor the expression x^2 +3x-10
Answer:
(x+5)(x-2)
Step-by-step explanation:
x^2 +3x-10
What two numbers multiply to -10 and add to 3
5*-2 = -10
5+-2 = 3
(x+5)(x-2)
Pls help 28 pts and brainliest
Answer:
43 units^2
Step-by-step explanation:
Area of a rectangle is
A = l*w
The bottom rectangle is 3 by 11 for an area of 33
The top rectangle is 2 by 5 for an area of 10
Add the areas together
33+10 = 43
The amount of radium 226 remaining in a sample that originally contained A grams is approximately C(t) = A(0.999 567)t. Where t is time in years find the half-life to the nearest 100 years
Answer:
The half-life of the substance is of 1600 years.
Step-by-step explanation:
Amount of the substance:
The amount of the substance after t years is given by the following equation:
[tex]C(t) = A(0.999567)^t[/tex]
In which A is the initial amount.
Find the half-life:
This is t for which [tex]C(t) = 0.5A[/tex], that is, the amount is half the initial amount. So
[tex]C(t) = A(0.999567)^t[/tex]
[tex]0.5A = A(0.999567)^t[/tex]
[tex](0.999567)^t = 0.5[/tex]
[tex]\log{(0.999567)^t} = \log{0.5}[/tex]
[tex]t\log{0.999567} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.999567}}[/tex]
[tex]t = 1600[/tex]
The half-life of the substance is of 1600 years.