Answer:
x = 3,2
Step-by-step explanation:
solve for x by finding a,b,c and then apply the quadratic formula.
Answer:x
=
−
3
x
=
−
2
Explanation:
The quadratic formula is:
⇒
x
=
−
b
±
√
b
2
−
4
a
c
2
a
for a quadratic of the form
a
x
2
+
b
x
+
c
.
We have
a
=
1
,
b
=
5
, and
c
=
6
.
x
=
−
5
±
√
5
2
−
4
(
1
)
(
6
)
2
(
1
)
x
=
−
5
±
√
25
−
24
2
x
=
−
5
±
√
1
2
x
=
−
5
±
1
2
Hence,
x
=
−
6
2
=
−
3
and
x
=
−
4
2
=
−
2
I'm not sure why you wanted to use the quadratic formula, but you could just factor the quadratic:
x
2
+
5
x
+
6
=
(
x
+
3
)
(
x
+
2
)
=
0
x
+
3
=
0
→
x
=
−
3
and
x
+
2
=
0
→
x
=
−
2
Step-by-step explanation:
Two lines are perpendicular. The slope of the first line is. What is the slope of the second line?
Answer:
Therefore, the slope of the original line is 1/2. A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line. The negative reciprocal of the original line is –2, and is thus the slope of its perpendicular line.
Help with 2 things plz I will give brainliest
Answer:
x is 3 y is 52 x is 50, y is 70
Step-by-step explanation:
1
we know y=14x=12x+6 since they are vertical angles, and correlating angles.
14x=12x+6
2x=6
x=3
subsitute x=3
y=14(x) turns into y=52
x is 3 y is 52
2.
x+20=y since alternate interior
y+2x+10=180 because they are supplementary
x+20+2x+10=180 subsitute for y
3x+30=180
3x=150
x=50
50+20=y
70=y
At the store, 10 ounces of candy cost $3.20. What is the price of 6 ounce of candy?
divide $3.20 to get the cost per ounce, and multiply it by 6 to get the price for 6 ounces.
6 ounces = $1.92
hope this helps!! :)
32. Parallelogram ABCD has vertices A(0,0), B(2,4), and C(10,4). Find the coordinates of D.
Answer:
Answer:
The fourth vertex is D(8, 0)
Step-by-step explanation:
Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
We have known that the diagonals of a parallelogram bisect each other.So, O would be the midpoint of AC as well as that of BD.
[tex]A\left(0,\:0\right)=\left(x_1,\:x_2\:\right)[/tex]
[tex]C\left(10,\:4\right)=\left(x_2,\:x_2\:\right)[/tex]
The midpoint of AC is:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:4\right)[/tex]
[tex]=\left(\frac{10+0}{2},\:\frac{4+0}{2}\right)[/tex]
[tex]=\left(5,\:2\right)[/tex]
The midpoint of BD is:
[tex]=\left(\frac{a+2}{2},\:\frac{b+4}{2}\right)[/tex]
so
∵ [tex]\frac{a+2}{2}=5[/tex]
[tex]a+2=10[/tex]
[tex]a=8[/tex]
∵ [tex]\frac{b+4}{2}=2[/tex]
[tex]b+4=4[/tex]
[tex]b=0[/tex]
Hence, the fourth vertex is D(8, 0)
Solve: -6n + 5 < 11
Wich graph shows the solution?
Answer:
The last graph
Step-by-step explanation:
You have to solve for n that is where you get the plot then you have to remember in inequalities if you divide by a negative you have to switch the sign. The inequality is not a less than or equal to or greater than or equal to so the plot would be an open circle. Because we switched the sign it goes down the left side of the graph because of the direction the sign is pointing to.
Answer:
second graph
Step-by-step explanation:
when you solve for the value of n, you will obtain
n=-1
introducing the sign
which is n>-1
hence the above response
Find the value of n for which the vectors a⃗ =(3,2)a→=(3,2) and b⃗ =(9,n)b→=(9,n) are collinear.
Answer:
For n=6, the given vectors will be collinear.
Step-by-step explanation:
Collinear vectors are the vectors which lie on the same line or parallel lines. In order to find if two vectors are collinear, their ratio is found. If the ratio is same for all unit vectors then the vectors are collinear.
Given
[tex]a = (a_1, a_2) = (3,2)\\b = (b_1, b_2) = (9,n)[/tex]
The ratio of first unit vectors is:
[tex]\frac{a_1}{b_1} = \frac{3}{9} = \frac{1}{3}[/tex]
In order for the vectors to be collinear the other ratio should also be 1/3
[tex]\frac{a_2}{b_2} = \frac{1}{3}[/tex]
Writing it mathematically
[tex]\frac{2}{n} = \frac{1}{3}\\2*3 = n\\n = 6[/tex]
Hence,
For n=6, the given vectors will be collinear.
Any blinks here? if so.. what album should i get?
Theres more but they cant fit in one pic have a great night or good morning
Answer:
♡ hi there blink ♡
get the album! comes with a poster, etc.
it's great and it stands out from the rest ☆
of the album they made. have a great day!
-madi/madeline
✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧
Step-by-step explanation:
How does this step ensure that the new angle will be congruent to the original angle?
is 39.81 rational or irrational
Answer:
its rational
Step-by-step explanation:
:)
Answer:
It is rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
What role do animals have in the carbon cycle?
Group of answer choices
use water and release oxygen
use sugar and release carbon
use carbon and release oxygen
use carbon and release nitrogen
Answer:
Animals eat plants, and when they do, they obtain the carbon. Later, they release that carbon by means of respiration. Fungus, Bacteria, Algae and other microorganisms create carbon when they decompose dead plants and animals.
Step-by-step explanation:
hope this helps
expand and simplify 3(2a+3b)+2(2a+2b)
Answer:
=10a+13b
Step-by-step explanation:
Let's simplify step-by-step.
3(2a+3b)+2(2a+2b)
Distribute:
=(3)(2a)+(3)(3b)+(2)(2a)+(2)(2b)
=6a+9b+4a+4b
Combine Like Terms:
=6a+9b+4a+4b
=(6a+4a)+(9b+4b)
=10a+13b
A school is electing students for class officers. There are four offices: president, vice president, secretary, and treasurer. The student with the most votes becomes president, second highest number of votes is vice president, and so on. If there are students in this class, how many ways can students be elected?
Answer:
84,264
Step-by-step explanation:
Answer:
84,264
Step-by-step explanation:
If more airplanes and cars are used (both of which burn fossil fuels), carbon levels will increase.
Group of answer choices
True
False
Answer:
True
Step-by-step explanation:
Cars and planes use fossil fuels such as, gas, petroleum. These are unrenewable resources.
Answer:
true
Step-by-step explanation:
they both emit carbon so if they are both used more often then carbon emissions will increase.
Write the expanded form of the expression -1/6 (y-x)
Answer:
-1/6y + 1/6x
Step-by-step explanation:
From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?
Answer:
The answer is 50 or 55.
Step-by-step explanation:
Answer:
The answer is 50
Step-by-step explanation:
i did test on edg
A new drug on the market is known to cure 30% of patients with cervical cancer. If a group of 18 patients is randomly selected, what is the probability of observing, at most, one patient who will be cured of cervical cancer?
Answer:
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
Step-by-step explanation:
Given:
Patients cured = 30% = 0.30
Number of patients (n) = 18
Probability cured of cervical cancer = P(X≤1)
Probability cured of cervical cancer = P(X=0) + P(X=1)
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
3.996 ➗ 1.2 =
plz help i need the answer
Answer:
3.33
Step-by-step explanation:
hope this helps!!
Answer:
3.33
Step-by-step explanation:
The probability of getting bonus points is 8/19
Answer:
11/19
Step-by-step explanation:
If the probability is 8/19, the reverse is 11/19. That is the odds.
Hope this finds you well on a cold day!
Math question on bottem
Answer:
12.56km
Step-by-step explanation:
circumference formula is C= 2(π)(r)
r= 2 so
C=2(π)(2)
C= 12.56
1.23 x 1.1 equals =
Answer:
1.23 x 1.1 = 1.32
Someone help me solve this please, I'd appreciate it if you can walk me through the steps. If not, just answering it is okay :)
Answer:
c. -8
Step-by-step explanation:
Given:
[tex] \frac{4b \div c}{1 - a} [/tex]
a = 5, b = 8, and c = 1
To evaluate, plug in the values into the expression given.
Thus:
[tex] \frac{4(8) \div 1}{1 - 5} [/tex]
[tex] \frac{32 \div 1}{1 - 5} [/tex]
[tex] \frac{32}{-4} [/tex]
[tex] \frac{8}{-1} = - 8 [/tex]
Find an equation of the sphere that passes through the point (6, -2, 3) and has center (-1, 2, 1). Find the curve in which the sphere intersects the yz-plane. Find the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
Answer:
A) x^2 + 2x+ y^2 - 4y + z^2 - 2z - 63 = 0
B) radius = 5
center = (4,-1,-3)
Step-by-step explanation:
[tex]x^2 + y^2 + z^2 - 8x + 2y + 6z + 1 = 0[/tex]
A ) Determine the curve in which the sphere intersects the yz-plane
determine the radius ( r ) = √((6-(-1))2+(-2-2)2+(3-1)2) = √69
next the equation of the sphere ( curve in which the sphere intersects the yz-plane )
x^2+2x+y^2-4y+z^2-2z-63 = 0
B) determine the center and radius of the sphere
X^2 + y^2 + z^2 -8x + 2y +6z + 1 = 0
(x-4)2+(y+1)2+(z+3)2 = 25 = 52
radius = 5
center = (4,-1,-3)
NEED HELP ILL GIVE BRAINLIEST PLEASE!!!
Answer:
13 feet
Step-by-step explanation:
Select the correct answer.
Which equation represents the vertical line passing through (1,-9)?
A.
x = -9
B.
X = 1
y = -9
D.y = 1
Answer:
I think A because we can't see the thing
Answer:
x=1
Step-by-step explanation:
Is x-x at infinity 0?
Answer: X/infinity tends to zero but never zero.
Probably incorrect, but I tried my best.
Pls look in file below for question
Answer:
the answer to the question is 7
can someone help me with this? I’m very confused and my results aren’t matching
You basically start at the start and whatever answer you get you go that way and if you get your answers right it should lead you to finish.
Is the following relation a function?
A. Yes
B. No
Answer:
Yes, it's a function.
Step-by-step explanation:
Tickets for a concert cost $25 each. You have $180 to spend. Write
an expression for the money that you have left after buying
t tickets. Evaluate the expression to find the amount of money left
after buying 6 tickets.
Answer:
180 - 25(T)= 30
T=6
180 - 25(6)= 30
bubba buys a $95 calculator on sale for 30% off. what's the discount and sales price?