Answer:
−7d−8
Step-by-step explanation:
Subtract 8d from d.
find the value of a and b if [tex]5+√3/7+2√3=a-b√3[/tex]
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.
Step-by-step explanation:
There are mistakes in the statement, correct form is presented below:
[tex]5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}[/tex].
By direct comparison we have the following system of equations:
[tex]a = 5[/tex] (1)
[tex]\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}[/tex] (2)
In (2) we solve for [tex]b[/tex]:
[tex]\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}[/tex]
[tex]b = -\frac{15}{7}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.
Please answer this!!!!!!
Answer: 39°
Step-by-step explanation:
Angle of depression must be less than 90° but greater than 0°
Find x if AC = 7x - 15 and BD = 4x + 15
Answer:
x = 10
Step-by-step explanation:
7x - 15 = 4x + 15
7x - 4x = 15 + 15
3x = 30
x = 10
Answer:
x = 10
Step-by-step explanation:
Given that AC and BD are congruent , then
7x - 15 = 4x + 15 ( subtract 4x from both sides )
3x - 15 = 15 ( add 15 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.
Answer:
[tex]6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.
Vertices A, B, and C form a right triangle with legs [tex]AB=3[/tex], [tex]BC=4[/tex], and [tex]AC=5[/tex]. The two legs, 3 and 4, represent the triangle's height and base, respectively.
The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=\frac{1}{2}bh[/tex]. Therefore, the area of this right triangle is:
[tex]A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}[/tex]
The other triangle is a bit trickier. Triangle [tex]\triangle ADC[/tex] is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are three sides of the triangle and [tex]s[/tex] is the semi-perimeter ([tex]s=\frac{a+b+c}{2}[/tex]).
The semi-perimeter, [tex]s[/tex], is:
[tex]s=\frac{5+5+4}{2}=\frac{14}{2}=7[/tex]
Therefore, the area of the isosceles triangle is:
[tex]A=\sqrt{7(7-5)(7-5)(7-4)},\\A=\sqrt{7\cdot 2\cdot 2\cdot 3},\\A=\sqrt{84}, \\A=2\sqrt{21}\:\mathrm{cm^2}[/tex]
Thus, the area of the quadrilateral is:
[tex]6\:\mathrm{cm^2}+2\sqrt{21}\:\mathrm{cm^2}=\boxed{6+2\sqrt{21}\:\mathrm{cm^2}}[/tex]
fill in the blanks □+0=3/4.also mention the property used.
plz answer fastly and give correct answer and I can understand .
Answer:
3/4 + 0 = 3/4 Additive Neutral Property
Step-by-step explanation:
write down the first 3 term of each sequence described by the sequence with first term 8 and difference -7
Answer:
8,1,-6
Step-by-step explanation:
8 + (-7)
= 8-7 = 1
1 + (-7) = 1 - 7 = -6
The first three terms are 8, 1,-6
Answered by Gauthmath
How do you solve this problem?
Explanation:
The square has perimeter P = 16, so each side of the square is P/4 = 16/4 = 4 cm.
This makes side KJ = 4 cm, and this is the diameter of the circle. Multiply the diameter with pi to get the circumference (aka the perimeter of the circle).
Therefore, the perimeter is pi*d = pi*4 = 4pi which points us to choice B
SOMEONE HELP ME PLEASE
Answer:
1/4 * 2/3 = 2/12 = 1/6 = .1666 = 16.6%
Step-by-step explanation:
Which term describes the red curve in the figure bellow?
Answer:
Letter B. Hyperbole is your answer
Determining a Local Maximum and Minimum
Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval __
A local minimum occurs over the interval ___
Answer:
x=-1x=-3Step-by-step explanation:
Algebra level
Give the equation for a circle with the given center and radius.
Center at (2, -9), radius = 3
A. (x+2)^2+(y−9)^2=9
B. (x+9)^2+(y−2)^2=3
C. (x−9)^2+(y+2)^2=3
D. (x−2)^2+(y+9)^2=9
Answer:
(x-2)^2 + (y+9)^2 = 9
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-2)^2 + (y--9)^2 = 3^2
(x-2)^2 + (y+9)^2 = 9
Answer:
D.) (x−2)2+(y+9)2=9
Step-by-step explanation:
I got it correct on founders edtell
Please solve these radical equations and show the steps so that I can understand them. In my notes, it says the steps are to Isolate the radical, square both sides, solve for the variable, and check for the extraneous solutions so if this is what you are supposed to do please show these steps in action. Thank you for your time.
Answer:
1) X = 0
2) X = 0 or X = 1
Step-by-step explanation:
1)
[tex] \sqrt{6x} + 9 + 2 = 11 [/tex]
6x = 0 since root can only be = 0 if radicand is 0
X = 0
2)
[tex] \sqrt{x} - 3 + 3 = x[/tex]
[tex] \sqrt{x} = x[/tex]
X = x^2 ( We are squaring both sides to simplify)
x-x^2 = 0
x (1-x) = 0 (Factor the expression)
X = 0 or
1 -x = 0
X = 1
Answered by Gauthmath
SOMEONE HELP ME PLEASE
Answer:
547
Step-by-step explanation:
why because it is
so big
Answer:
Step-by-step explanation:
This question suffers from being incomplete which is why you are likely unable to answer it. The problem is: what does advanced mean.
Does it mean post bachelor?Does it mean a masters?Does it mean just extra classes above what you know to be true.I'm going to answer this on the basis of what I can see which is just a bachelor's degree.
First find the total of the entire table.
There are 6 entries 224 + 387+547+776+245+322=2501
Now P(Bachelor) = 547 / 2501 = 0.2187
find f(x)•g(x)
f(x) = 3x - 1
g(x) = x^2 + 4
1. the question is asking you to multiply the two function expressions together
2. so all we do is (3x - 1)(x² + 4) which gives you 3x³ + 12x - x² - 4
Can someone plz help me ?
Can someone please help me with my maths question
Answer:
a) log 2 (48 ×3 ×9 )
log 2 1296
10.3
b) log 4 24 - log 4 3/4 log 4 2
log 4 36
2.58
What is the y-intercept of f(x) = see
Picture
Answer:
(0,1)
Step-by-step explanation:
f(x) = (1/2)^x
To find the y intercept, let x = 0
f(x) = (1/2) ^0
f(x) = 1
(0,1)
Express 3x-2/(x-1)(x-2)
Answer:
3x-2/x²-3x+2
Step-by-step explanation:
you have to expand the bottom equations
(x-1)(x-2)
x(x-2)-1(x-2)
x²-2x-x+2
x²-3x+2
now from this you can't divide it into the top equation because not all the terms are like so it's better to bring it down as it is.
3x-2/x²-3x+2
I hope this helps
[ANSWER ASAP PLEASE] Which point is a reflection of across the x-axis? A. point A B. point B C. point C D. point D E. point E
Answer:
Point C
Step-by-step explanation:
We want to reflect across the x axis
That means the y coordinate changes sign
Z = ( 5 1/2 , 3)
Z' = ( 5 1/2 , -3)
That is point C
There are 3200 students at Lake High School and 2/5 of these students are sophomores. If 3/8 of the sophomores are opposed to the school forming a crew team and 1/8 of the remaining students (not sophomores) are also opposed to forming a crew team, how many students are in favor of this idea?
Answer:
4
Step-by-step explanation:
2/5*3000 = 1200 seniors
then
3000 - 1200 = 1800 students not seniors
therefore
4/5* 1200 = 960 do not like rock climbing
and
9/10** 1800 = 1620 also do not like it:
"how many students are in favor of this idea?"
subtract the "don't likes" from 3000
3000 - (960+1620) = 420 like rock climbing:
3x-x+2=4
Step-by-step explanation:
here's the answer to your question
Charlotte needs at least 60 signatures from students in school so that she can run for student government president. She already has 12 signatures. She and her three friends plan to get the remaining signatures during gym.
If each person gets the same number of signatures, which inequality can Charlotte use to determine the minimum number of signatures each person should get so he/she can run for student government president?
If she already has 12 signatures: 60 - 12 = 48
48/3 = 16
so, she and her friends need at least 16 signatures each.
p being person;
p [tex]\geq[/tex] 16 (p has to be greater or equal than 16)
Provide a real-world situation in which it would be appropriate to use a geometric sequence or series. Be sure to explain why a series or a sequence is more appropriate
Step-by-step explanation:
Well talking about the practical use of Arthematic sequence or series..
i have an example..
suppose there is a highway and in most condition.. Petrol or diesel station are kept in a common distance..
now you can easily calculate or predict where the next petrol or diesel station is ..
and about Geometric sequence or series
There are many uses of geometric sequences in everyday life, but one of the most common is in calculating interest earned. Mathematicians calculate a term in the series by multiplying the initial value in the sequence by the rate raised to the power of one less than the term number. The sequence allows a borrower to know the amount his bank expects him to pay back using simple interest
and
Physicists use geometric progressions to calculate the amount of radioactive material left after any given number of half-lives of the material. During each half-life, the material decays by 50 percent.
Calculate the value of 3√216
by using prime
factors
Answer: 43,2
Step-by-step explanation:
[tex]\bf 3\sqrt{216 }=3\cdot 6\sqrt{6}=18\sqrt{6} \approx43.2 \\\\ \sqrt{216} =\sqrt{ 2^{3}\cdot 3^3}=\sqrt{2^2\cdot 3^2\cdot 3\cdot 2}=3\cdot 2\sqrt{3\cdot 2} =6\sqrt{6}[/tex]
Is it True or false ?? Explain .
Answer:
False
Step-by-step explanation:
The (a+b)^2 = a^2+2ab+b^2 formula isn't in this expression.
Answer:
False
Step-by-step explanation:
(X+y)^2 = x^2 + 2xy + y^2
First you expand and then distribute
The rule is:
(a+b) ^2 = a^2 + 2ab + b^2
Answered by Gauthmath
PLEASE HELP ASAP PLEASE!!!!!!!
Find the measure of GE.
A. 20
B. 14
C. 15
D. 16
What is the area of the figure shown? Plz explain!
Answer:
D. ½y(x+z)
Step-by-step explanation:
the area = (x.y)+(½y(z-x))
= xy + ½ (yz -xy)
= xy +½yz -½xy
= ½xy + ½yz
= ½y(x+z)
Classify the following triangle. Check all that apply
Answer: (F)
Step-by-step explanation:
can i get some help please
Hi there!
[tex]\large\boxed{102^o}[/tex]
Using the triangle exterior angle theorem, we know that:
∠4 = the other two angles of the triangle combined (both are given)
Thus:
∠4 = 51 + 51 = 102°
Angle 4 is an outside angle.
An outside angle of a triangle is equal to the sum of the two opposite inside angles.
The two opposite inside angles to angle 4 are shown as 51 and 51
Angle 4 = 51 + 51
Angle 4 = 102 degrees.
if the rate store is constant which statement correctly compares the cost of a package 20 cd's
Answer:
rufvkslvUtepgsohch. h,kh jblfc.Find the measures of
Answer:
Step-by-step explanation:
Measure of an inscribed angle intercepted by an arc is half of the measure of the arc.
From the picture attached,
m(∠A) = [tex]\frac{1}{2}m(\text{arc BD})[/tex]
= [tex]\frac{1}{2}[m(\text{BC})+m(\text{CD}][/tex]
= [tex]\frac{1}{2}[55^{\circ}+145^{\circ}][/tex]
= 100°
m(∠C) = [tex]\frac{1}{2}[(360^{\circ})-m(\text{arc BCD})][/tex]
= [tex]\frac{1}{2}(360^{\circ}-200^{\circ})[/tex]
= 80°
m(∠B) + m(∠D) = 180° [ABCD is cyclic quadrilateral]
115° + m(∠D) = 180°
m(∠D) = 65°
m(arc AC) = 2[m(∠D)]
m(arc AB) + m(arc BC) = 2(65°) [Since, m(arc AC) = m(arc AB) + m(arc BC)]
m(arc AB) + 55° = 130°
m(arc AB) = 75°
m(arc ADC) = 2(m∠B)
m(arc AD) + m(arc DC) = 2(115°)
m(arc AD) + 145° = 230°
m(arc AD) = 85°
