Answer:
See below
Step-by-step explanation:
Given the expression
x(x-3) = 0
This can be written as x = 0 and x - 3 = 0
x = 0 and x = 0+3
x = 0 and x = 3
Hence the equation has 2 solutions since it is a quadratic equation
B) Given x^2 = -81
Take the square root of both sides
√x² = ±√-81
x =±√-81
Note that √-1 = i
x = ±9i
x = 9i and -9i
Hence this equation has 2 solutions because of its quadratic nature
C) (x−1)(x−1)=0
x - 1 = 0 and x = 1 = 0
x = 1 twice
Hence this equation has 1 solution because of its repitition of root
What is an equation of the line that passes through the point (-6,-8) and is parallel to the line x-2y=6?
Answer:
[tex]y=\frac{1}{2}x-5[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope and different y-intercepts1) Determine the slope (m)
[tex]x-2y=6[/tex]
Rearrange this equation into slope-intercept form (this will help us find the slope)
Subtract x from both sides
[tex]x-2y-x=6-x\\-2y=-x+6[/tex]
Divide both sides by -2
[tex]y=\frac{1}{2} x-3[/tex]
Now, we can identify clearly that the slope of the given line is [tex]\frac{1}{2}[/tex] since it's in the place of m. Because parallel lines always have the same slopes, the line we're currently solving for would therefore have a slope of [tex]\frac{1}{2}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{1}{2}x+b[/tex]
Plug in the given point (-6,-8)
[tex]-8=\frac{1}{2}(-6)+b\\-8=-3+b[/tex]
Add 3 to both sides to isolate b
[tex]-8+3=-3+b+3\\-5=b[/tex]
Therefore, the y-intercept is -5. Plug this back into [tex]y=\frac{1}{2}x+b[/tex]:
[tex]y=\frac{1}{2}x-5[/tex]
I hope this helps!
The radius of a circle is 11 meters. What is the circle's area?
Answer:
379.94 m²
Step-by-step explanation:
3.14×11²= 379.94 m²
Step-by-step explanation:
The area of a circle is
π[tex]r^{2}[/tex]
The r is 11 so we get 11^2 * π
121π is our exact area,
380.13 m^2 is our approximate area
Multiple Rules (Condense)
You can also use multiple rules at a time to condense
multiple log expressions to one.
2 log(x) +3 log(y) – 4 log(z)
Would condense to which of the following?
2 3
log
4
log
23
log
1,3,4
log(x21324)
Answer:
A
Step-by-step explanation:
Log poperties
Wesley makes spherical fish tanks with a diameter of 30 cm. A customer requests a smaller tank with half the volume of the tank that Wesley usually makes. What is the approximate diameter of the smaller tank?
Answer:
23.8
Step-by-step explanation:
v = 4/3 pi r cube
v =4/3 pi r (15) cube
v=4500 pi
v= 45000 pi /2=4/3pi r cube
1687.5=r cube
r =11.9
d =23.8
(please tell me if its wrong, if it is i will fix it!) :).
Please help 15 points!!!
Answer:
20 m²
Step-by-step explanation:
Figure 1: 4 x 4 = 16
Figure 2: 2 x 2 = 4
16 + 4 = 20
In the coordinate plane, what is the length of the line segment that connects points at (5,4) and (-3,-1)
Enter your answer in the box. Round to the nearest hundredth.
units
Answer:
9.434 units
Step-by-step explanation:
Given data
points (5,4) and (-3,-1)
x1= 5
y1= 4
x2= -3
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-3-5)²+(-1-4)²)
d=√((-8)²+(-5)²)
d=√64+25
d=√89
d=9.4339
d= 9.434 units
Hence the distance between the points is 9.434 units
Which of the following is not a triangle similarity theorem
Answer:
D. SSA
Step-by-step explanation:
The SSA postulate does not exist because an angle and two sides does not guarantee that the two triangles are congruent. This is because if two triangles have two congruent sides but a non-included congruent side, this does not indicate that it is necessarily congruent.
A bag contains 4 blue marbles, 6 red marbles, 3 yellow marbles, and 5 black marbles. What is the probability that you choose two marbles, without replacement, that are both black? Answer as a decimal to the nearest thousandths place (3 after the decimal).
Answer:
.065
Step-by-step explanation:
The total number of marbles is
4 blue marbles+ 6 red marbles+ 3 yellow marbles+5 black marbles=18
P(1st black) = Black/total = 5/18
You keep the marble
The total number of marbles is
4 blue marbles+ 6 red marbles+ 3 yellow marbles+4 black marbles=17
P(2st black) = Black/total = 4/17
Multiply the probabilities together
P(black,black)= 5/18 * 4/17 =10/153=.065359477 =.065
LABEL THE TRIANGLE!! PLEASE HELP!!
Answer:
Determination of HYP,OPP,ADJ with respect to x.
Opposite side of right angle:Hypotenuse: AC
Opposite side of given angle: Opp:BC
remaining side of a triangle: Adjacent:AB.
A laptop is in the shape of a rectangular prism. The laptop has a length of 14
inches, a width of 10 inches, and a height of 1.5 inches.
What is the volume of the laptop?
Answer:
V=210 square inches
Step-by-step explanation:
Volume formula for a rectangular prism is V=lwh
So Volume=Length x Width x Height
V= 14 x 10 x 1.5
V=210 square inches
can some one help me plzz!! No links!!
If you have 5 questions and get an 80% how many questions did you get wrong?
Answer:
4
Step-by-step explanation:
The perimeter of a rectangular field is 344m . If the length of the field is 93m , what is its width?
Answer:
width is 79 m
Step-by-step explanation:
P = 2l + 2w
344 = 2(93) + 2w
344 = 186 + 2w
158 = 2w
w = 158/2
w = 79
I need to find this angle please help i know it is adjacent but i need the angle.
Answer:
148 degrees!
Step-by-step explanation:
They are 180 degrees together so just subtract 32. 180- 32 = 148.
Answer:
148°
Step-by-step explanation:
A flat angle measures 180°
180° - 32° = 148°
Find the range of the relation {(-8,1),(-3,-6),(-7,-5),(9,5),(-2,9)}
PLEASE ANSWER THIS IS DUE TOMORROW!!!!!!!!!!!
Answer:
x-intercept: 15
y-intercept: -6
The slope is positive because 2/5 (the slope) is positive.
Step-by-step explanation:
The x-intercept is where the line crosses the x-axis.
The y-intercept is where the line crosses the y-axis.
What is the slope for y = - 6x + 12 on a graph
Answer:
For question A) y = -6 , b = 12
For question B) x = 2
Step-by-step explanation:
What is the mesure of angle AXB?
A snow cone cup is 12cm tall and has a diameter or 8cm find the volume of the flavored ice that can be held inside the snow cone cup
Answer:
200.96 cm³
Step-by-step explanation:
Volume of a cone = πr²h/3
Pi, π = 3.14
Radius, r = diameter/2
= 8 cm/2
= 4 cm
Height, h = 12 cm
Volume of a cone = πr²h/3
= 3.14 * (4 cm)² * 12 cm / 3
= 3.14 * 16 cm² * 12 cm / 3
= 602.88 cm³/3
= 200.96 cm³
Volume of a cone = 200.96 cm³
[tex] {x}^{2} + 16x + 10 = 0[/tex]Split the middle term.
Find the distance between the two points in simplest radical form.
(-9,3) and (-3,-5)
Answer:
10
Step-by-step explanation:
Distance Formula: sqrt_/(x1-x2)^2 + (y1-y2)^2
sqrt_/(-9-(-3))^2 + (3-(-5))^2
sqrt_/(-6)^2 + (8)^2
sqrt_/36+64
sqrt_/100
Simplify and you get the number 10.
Two wires, a = 90 ft apart, tether a balloon to the ground, as shown. How high is the balloon above the ground? (Round your ans
Answer:
180
Step-by-step explanation:
Please help. Thank you....
In a 3-digit number, the hundreds is one more than the ones digit and tens digit is twice the hundred digit. If the the sum of the digits is 11, find the number.
Answer:
362
Step-by-step explanation:
Let u = the units digit
2(u + 1) = the tens digit
u + 1 = the hundreds digit
u + 2(u + 1) + u + 1 = 11
u + 2u + 2 + u + 1 = 11
4u + 3 = 11
4u = 8
u = 2 = ones digit
u + 1 = 3 = hundreds digit
2(u + 1) = 2(3) = 6
The number is 362
Liz records her pet hamster's weight once every month for one year. How many observations does she make?
Answer: 12 observations
Step-by-step explanation:
1 year = 12 months
Number of observations = 1 per month
Therefore number of observations
for a year = 1 × 12
= 12 observations.
Write the expressions for the following:
(i) 3 added with the product of x and y.
(ii) 4 subtracted from the product of -2 and m.
Answer:
i) (xy)+3 or 3+(xy)
ii) (-2×m)-4
Answer:
3+xy
-2m-4
Step-by-step explanation:
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85
Answer:
$29, that is the answer for this question
ALRIGHT 66% WE NEED AT LEAST AN 80, WHAT WONDERFUL PERSON IS GONNA HELP!?
Answer:
I got 45
Step-by-step explanation:
so I did the triangle first I did 5 times 6 divided by 2 and got 15 then I did 5 times 6 and got 30 then I added the 30 and 15 together.
Answer:
Formula of trapezoid:
B1(base 1) + B2(base 2) x Height(h) x 1/2
Area of Trapezoid:
10(base 1) + 6(base 2) = 16
16 x 5 = 80
80 x 1/2 = 40
What is the perimeter of the garage if d=3
I’m marking branliest
Answer:
perimeter= 46
Step-by-step explanation:
(3(3)-2) + (3(3)-2) + (5(3)+1) + (5(3)+1)
7 + 7 + 16 + 16
= 46
(5. solve for x )
2/5 + x = 1