Answer:
x = {-4, -2}Step-by-step explanation:
To find the intersection we need to solve the system:
y = 2x + 3(x - 3)² + (y + 6)² = 50Solve by substitution, replace y with 2x + 3 in the second equation:
(x - 3)² + (2x + 3 + 6)² = 50x² - 6x + 9 + 4x² + 36x + 81 - 50 = 05x² + 30x + 40 = 0x² + 6x + 8 = 0x² + 6x + 9 = 1(x + 3)² = 1x + 3 = ± 1x = -4, x = -2hey besties please help me :D
Answer:
a. 4
b. 3
Step-by-step explanation:
The triangles are congruent so each side is the same.
The side DF is equal to AC which is equal to 4.
The side EF is equal to BC which is equal to 3.
Hope this helps :)
Find the value of 1/6 of 2/7 of 1/2 of 168?
Answer:
The answer is 4
Step-by-step explanation:
Answer:
1/6 of 2/7 is 1/21
1/2 of 168 is 84
Step-by-step explanation:
top times top and bottom times bottom then reduce
1/2 times anything is just the other number divided by 2
for example 1/2*168 is the same thing as 168 divided by 2
helppppppppp plzzzzzz
Answer:
Answer is B hope this helps
Step-by-step explanation:
Answer:
answer B because of the scale factor
Can someone please help? This is due soon and I have no clue how to do it. Can someone please explain how to do this?
9514 1404 393
Answer:
y = 27
Step-by-step explanation:
The altitude of a right triangle creates two triangles that are each similar to each other and to the larger right triangle. This means corresponding sides are proportional.
If we write the proportion for the legs, we get ...
(long leg) / (short leg) = y/18 = 18/12
Multiplying by 18 gives us ...
y = 18(18/12)
y = 27
_____
Additional comment
The leg/leg proportion above gave rise to the relation ...
altitude² = (left hypotenuse segment)×(right hypotenuse segment)
That is, the altitude is the geometric mean of the two hypotenuse segments it touches. 18 = √(12y)
__
There are two other "geometric mean" relationships in this triangle.
The upper left side is the geometric mean of the left hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).The upper right side is the geometric mean of the right hypotenuse segment and the whole hypotenuse (the two segments it touches at the bottom).Each of these relationships is ultimately derived from the fact that all of the triangles are similar. You really only need to remember that these triangles are all similar and corresponding sides of similar triangles are proportional. (In some cases, it can be a bit of a shortcut if you remember the geometric mean relations.)
Please answer this correctly and do not guess or put random stuff. I will report if you do so.
PLEASE ANSWER
What is the perimeter of the parallelogram?
Answer:
Perimeter = 44.8
Step-by-step explanation:
Perimeter = 2(13.4 + 9) = 44.8
Same as before this test... is just driving me crazy I'm blowing all my points through these so...
Answer and Step-by-step explanation:
For this, you would need to use the trigonometric function Sine and cosine.
The trig equations are:
sin(θ) = [tex]\frac{opposite - side}{hypotenuse}[/tex]
cos(θ) = [tex]\frac{adjacent-side }{hypotenuse}[/tex]
Let's start with Sine:
sin(60) = [tex]\frac{x}{10\sqrt{3} }[/tex]
Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].
[tex]10\sqrt{3} (sin(60)) = x[/tex]
Input into calculator and solve.
x = 15
Now for Cosine:
cos(60) = [tex]\frac{y}{10\sqrt{3} }[/tex]
Multiply both sides of the equation by [tex]10\sqrt{3}[/tex].
[tex]10\sqrt{3} (cos(60)) = x[/tex]
Input into calculator and solve.
y = [tex]5\sqrt{3}[/tex]
x = 15
y = [tex]5\sqrt{3}[/tex]
These are the answers.
I hope this helps!
#teamtrees #PAW (Plant And Water)
Step-by-step explanation:
It's a right triangle with one of the angles being 60°. This means that the leftover angle is 30°. This allows me to use the attached screenshot as a reference, so please check it out if you want to understand how to easily solve those types of equations in the future. Anyway, we can specify the hypotenuse as [tex]a[/tex] .
First, let's calculate the value of [tex]y[/tex].
[tex]a[/tex] = [tex]10\sqrt{3}[/tex]
[tex]y[/tex] = [tex]\frac{a}{2}[/tex]
[tex]y[/tex] = [tex]\frac{10\sqrt{3} }{2}[/tex]
[tex]y[/tex] = [tex]5\sqrt{3}[/tex]
----
Now, let's get to [tex]x[/tex]
[tex]a[/tex] = [tex]10\sqrt{3}[/tex]
[tex]x[/tex] = [tex]\frac{a\sqrt{3} }{2}[/tex]
[tex]x[/tex] = [tex]\frac{10 \sqrt{3} * \sqrt{3}}{2}[/tex]
[tex]x[/tex] = [tex]\frac{10 * 3}{2}[/tex]
[tex]x[/tex] = [tex]\frac{30}{2}[/tex]
[tex]x[/tex] = [tex]15[/tex]
----
[tex]x[/tex] = [tex]15[/tex] and [tex]y[/tex] = [tex]5\sqrt{3}[/tex]
Jim is an electrician. He charges a $150 home-visit fee and $45 per hour, with
the first two hours free. Which equation could elyse use to calculate the cost, c, to have Jim work at her house for 5 hours?
a. c 5 150 1 45(5)
b. c 5 150 1 45(5 1 2)
c. c 5 150 1 45(5 2 2)
d. c 5 (150 1 45)(5 2 2)
Answer:
b. c 5 150 1 45(5 1 2)
Step-by-step explanation:
Which expression is equivalent to 4(x+1)-7x
Qual é o comprimento do arco correspondente a um ângulo ao centro de 45 graus, numa circunferência de raio 3 cm ?
Answer:
2.4 m
Step-by-step explanation:
A fórmula para o comprimento do arco é dada como:
Comprimento do arco = 2πr (θ / 360)
Onde r = raio = 3cm
θ = Ângulo em graus = 45 °
Comprimento do arco = 2 × π × 3 (45/360)
Comprimento do arco = 2.356194m
Aproximadamente = 2.4 m
help please!! The measures of the angles of a triangle are shown in the figure below. solve for x
9514 1404 393
Answer:
x = 33
Step-by-step explanation:
The angles are complementary.
x° = 90° -57°
x = 33
24 = 3 (b+1) plz help
Answer:
b= 7
Step-by-step explanation:
24= 3b + 3
24-3 = 3b
21= 3b
21/3 = b
7 = b
Need help will give Brainlyest
Write Expresion as an Exponent
aaabbccccc
Answer:
a³b²c⁵
Step-by-step explanation:
simply count them
Is 2,-2,3,-2,7,-2,11,-2 a function
Answer:
Step-by-step explanation:
D
Solve for x please and thank you.
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
See https://brainly.com/question/22237817 for a complete explanation.
The baker's at a bakery can make 160 bagels in 4 hours how many bagesl can they bake in 16 hours? What is that rate per hour. "Explanation"
Answer:
640 bagels
Rate: 40bagels/hour
Step-by-step explanation:
If the baker's at a bakery can make 160 bagels in 4 hours, then;
160 bagels = 4 hours
To calculate the amount the baker can bake in 16hours, we can write;
x bagels = 16hours
Divide both expressions
160/x = 4/16
160/x = 1/4
Cross multiply
x* 1= 160 * 4
x = 640
Hence the baker can bake 640 bagels in 16hours
To know the rate per hour, we can write;
x bagel = 1hr
Recall that; 160bagels = 4 hours
Cross multiply
x * 4 = 1 * 160
4x = 160
x = 160/4
x = 40
Hence the rate per hour is 40bagels/hour
plz help i can not figure this out
Answer: 30 cubic units
Step-by-step explanation:
Since the base has a volume of 2x3 or 6 and he plans on making the height 5 we must mutliply the base by height to get the new voulme so 6*5=30
factor 8m^6 - 64n^12p^15.
Pls only answer if u know what to do, don't waste my points
Answer:
8(m^2 − 2n^4 p^5) (m^4 + 2m^2 n^4 p^5 + 4n^8 p^10)
Step-by-step explanation:
um long explanation and im bad at explaining
can i have brainliest? =)
Find the length of AB.
AB = [ ? ]in
Answer: About 3.14 inches
t/12 = 4
solve for the solution
Which will help you answer, "To what power must a student raise the number 5 to have an answer of 625?"
Group of answer choices
$$log_{5} x=625$$5=625
l
o
g
5
x
=
625
log5625=
log
5
625
=
x
log5625=
log
5
625
=
x
log5=625
log
x
5
=
625
log5=625
log
x
5
=
625
log6255=
log
625
5
=
x
log6255=
log
625
5
=
x
Answer:
4th power
5x5x5x5 = 625
Step-by-step explanation:
Answer: log5(625)=x
Step-by-step explanation:
What is the GFC for 80 and 96
Answer:
16
Step-by-step explanation:
Greatest common factor (GCF) of 80 and 96 is 16. We will now calculate the prime factors of 80 and 96, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80 and 96.
Please help.
Is algebra.
The answer for the system is, (2, 5)
y= 5, x= 2
what is the ratio for 18 goldfish in a tank of 48 fish simplify the answer please I will give you brainliest
Answer:
Jayhllaaa rember ur best fried Ana I went to different school and it ends at 3:10 I think but 4:00 for sure I don't have wifi but we can talk thru here tomorrow I think we get the wifi then we talk okayy hewooo by they wayyy
Step-by-step explanation:
bestiess
Find the common difference for the given sequence
1.2, 1.85, 2.5, 3.15, ...
Answer:
c)0.65
Step-by-step explanation:
Answer:
0.65
Step-by-step explanation:
1.2 + 0.65 = 1.85
1.85 + 0.65 = 2.5
2.5 + 0.65 = 3.15
And so on...
Circle D is shown. Line segments G D, F D, and E D are radii. Point H is on the other side of the circle. Angle G D F is 83 degrees and angle F D E is 66 degrees. What is the measure of minor arc ? 17° 75° 149° 211°
Answer:
149
Step-by-step explanation:
JUST TOOK TEST
Answer:
149
Step-by-step explanation:
The speed of trains from New York to Boston was increased by
20% to 60 miles per hour. What was the speed of the trains
before the increase?
Answer:
48
Step-by-step explanation:
First, we find 20% of 60. That is 12. Then we subtract 12 from 60, making 48.
Select the factors for the quadratic expression 10m2 + 89m − 9.
a
(5m + 9)(2m - 1)
b
(10m + 9)(m + 10)
c
(m - 9)(10m + 89)
d
(m + 9)(10m − 1)
work out the sizes of angles x,y and z
Answer:
x &y=64 z=20
Step-by-step explanation:
ABD is an isosceles triangle therefore x and y will have the same angles.You will do 180(as angles in a triangle add up to 180) and subtract 52 which is 128.After that you then divide by 2 to get the values of x and y=64
To find z,you know that angles in a triangle equal 180 so you want to subtract 2 values from 180 to find z.To find the other value you do 180-y=180-64=116.Therefore 116+44=160, 180-160=20 so z=20