WILL GIVE BRAINLIEST ! 12 POINTS !
Estimate the solution to the following system of equations by graphing.
-4x + 5y = 8
6x - y = 11
Options:
* ( 1 over 2 , 3 over 2 )
* ( - 4 over 3 , 8 over 3 )
* ( - 5 over 2 , - 7 over 2 )
* ( 5 over 2 , 7 over 2 )
USE DESMOS.COM AND CLICK START GRAPHING, IF YOU NEED A GRAPH !
Answers
Related Questions
△ABC is similar to △RST . In addition, m∠C=76° and m∠S=3(m∠A) . What is m∠A ? Enter your answer in the box.
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Answer:
∠A = 26°
Explanation:
If two angles of a triangle have measures equal to the measures of two angles of another triangle, then the triangles are similar. In case of similar triangle, corresponding angles are congruent.
Angle ∠C = 76
So, ∠T = 76 because of corresponding angle.
Given that,
m∠S=3(m∠A)
We know that,
∠S ≅ ∠B
That means ∠B = 3 (∠A)
Sum of angles in a triangle = 180°
∠A + ∠B + ∠C = 180°
∠A + 3∠A + 76° = 180°
4∠A = 180° - 76°
4∠A = 104°
∠A = [tex] \frac{104}{4} [/tex]
∠A = 26°
Final answer.
Find the lengths of x and y.
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we know that
in the triangle ABD
applying the Pythagorean theorem
y²=3³+4²---------> y²=25------------> y=5 units
tan alfa=4/3-----------> equation 1
in the triangle BDC
tan alfa=DC/BD----------> tan alfa=(x-3)/4------------> equation 2
matching equations 1 and 2
4/3=(x-3)/4---------> 4*4=3*(x-3)--------> 16=3x-9---------> 3x=25----> x=25/3 units
the answer is
x=25/3 units
y=5 units
3. Divers looking for a sunken ship have defined the search area as a triangle with adjacent sides of length 2.75 miles and 1.32 miles. The angle between the sides of the triangle is 35. To the nearest hundredth, find the search area. 2.08 mi²
2.97 mi²
1.49 mi²
1.04 mi²
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Answer:
2.08 mi²
Step-by-step explanation:
Since, the area of the triangle is,
[tex]A=s_1\times s_2\times sin \theta[/tex]
Where, [tex]s_1[/tex] and [tex]s_2[/tex] are adjacent sides and [tex]\theta[/tex] is the included angle of these sides,
Here, [tex]s_1[/tex] = 2.75 miles,
[tex]s_2[/tex] = 1.32 miles,
And, [tex]\theta[/tex] = 35°,
hence, the area of the given triangle is,
[tex]A=2.75\times 1.32\times sin 35^{\circ}[/tex]
[tex]= 3.63\times 0.57357643635[/tex]
[tex]= 2.08208246395\approx 2.08\text{ square miles}[/tex]
please help.
solve the inequality |6 - v| < 9
write the inequality as two inequalities with the absolute value and give a solution set.
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-15 < -v < 3 . . . . . subtract 6
-3 < v < 15 . . . . . . multiply by -1
which are the solutions of the quadratic equation x^2=9x+6
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The solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex]are:
[tex]\[x = \frac{9 + \sqrt{105}}{2}\][/tex] and [tex]\[x = \frac{9 - \sqrt{105}}{2}\][/tex]
To find the solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex], we need to rewrite it in standard quadratic form [tex]\(ax^2 + bx + c = 0\).[/tex]
Given:
[tex]\[x^2 = 9x + 6\][/tex]
Subtract [tex]\(9x\) and \(6\)[/tex] from both sides to get it in standard form:
[tex]\[x^2 - 9x - 6 = 0\][/tex]
Now, to solve this quadratic equation, we can factor it or use the quadratic formula:
The quadratic formula is:
[tex]\[x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}\][/tex]
For our equation:
[tex]\[a = 1, b = -9, \text{ and } c = -6\][/tex]
Substituting these values into the quadratic formula:
[tex]\[x = \frac{-(-9) \pm \sqrt{(-9)^2-4(1)(-6)}}{2(1)}\]\[x = \frac{9 \pm \sqrt{81+24}}{2}\]\[x = \frac{9 \pm \sqrt{105}}{2}\][/tex]
So, the solutions of the quadratic equation [tex]\(x^2 = 9x + 6\)[/tex]are:
[tex]\[x = \frac{9 + \sqrt{105}}{2}\][/tex] and [tex]\[x = \frac{9 - \sqrt{105}}{2}\][/tex]
helppppppppppppppppppppp
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1.796
Explanation:
log base 6 of 25 can be rewritten as:
log base 6 of (5^2) = 2 * log base 6 of 5
= 2 *0.8982
= 1.7965
Hope this helps :)
The sales tax on a $250 computer is 17.50. find the sales tax rate.
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[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 250&100\\ 17.50&t \end{array}\implies \cfrac{250}{17.50}=\cfrac{100}{t}\implies t=\cfrac{17.50\cdot 100}{250}[/tex]
2, 4, 6, 8, 10
I know this diverges but what is the limit?
Also, is there a limit with numbers that repeat? (ie: -1,1,-1,1...(-1)^n)
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[tex]$\lim_{n\to\infty}\,2n=\infty[/tex]
2. In this case limit does not exist.
a building in san francisco is shaped like a square pyramid it has a slant height og 856.1 feet and each side of its base is 145 feel long find the lateral area of the building
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for a Square Pyramid
[lateral area]=4*[a*s/2]--------> 2aS
where
a is the length side of the square base
S is the slant height
a=145 ft
S=856.1 ft
[lateral area]=2*145*856.1---------> 248269 ft²
the answer is 248269 ft²
PLZ HELP ME ON THIS
PLZ EXPLAIN IT TO ME
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80 * 5 = 400
Hope it helps
Find the equation for the line that passes through the point (−1,2), and that is parallel to the line with the equation 3/2x−2y=2.
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.. (3/2)(x +1) -2(y -2) = 0 . . . . . the given line translated to the point (-1, 2)
.. 3(x +1) -4(y -2) = 0 . . . . . . . . multiply by 2
.. 3x +3 -4y +8 = 0 . . . . . . . . . eliminate parentheses
.. 3x -4y = -11 . . . . . . . . . . . . . . put in standard form (not necessary, but prettier)
How many solutions does the system have?
{y = −2x + 2
y = x^2 − 3x
Enter your answer in the box.
________
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Answer:
The system has two solution
Step-by-step explanation:
we have
[tex]y=-2x+2[/tex] ----> equation A
[tex]y=x^{2}-3x[/tex] ----> equation B
Solve the system of equations by graphing
Remember that
The solution of the system of equations is the intersection point both graphs
There are two point of intersection between the two graphs
see the attached figure
therefore
The system has two solution
You buy 3 grapefruits for $1.50, a pound of apples for $.79, some grapes for $2.50, and some bananas for $1.21. Find the total cost of the fruit.
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Happy studying!
Which statements correctly use the properties of exponents to simplify? Check all that apply.
(xy2)2 = x2y4
x3x3 = x6
3y–2 =
2(x2)3 = 8x6
–x2(–x3) = –x6
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Answer:
1 2 and 3
Step-by-step explanation:
ASAP Plz what is the value of x? Plz no joking around this is from quiz 4.09: Special Right Triangles 2
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Firstly, let's find RT so that we can solve the top triangle.
We could actually use 3 methods to find this side: 1) trig to find RT
2) trig to find ST, then Pythagorean Theorem to determine RT
3) use the special 30-60-90 right triangle rule ... hmm, I'm going with the last because it's easiest ;)
For 30-60-90 triangles, the sides are always as follows: smallest side (opposite the 30) is s, the middle side is sSR3, and the hypotenuse is 2×s
Thus, since we have the side opposite 60, it is = sSR3, so:
[tex]s \sqrt{3} = 2 \sqrt{3} \\ s \sqrt{3} \div \sqrt{3} = 2 \sqrt{3} \div \sqrt{3} \\ s = 2[/tex]
So now, the hypotenuse (RT) = 2s = 2(2) = 4
Secondly, we are looking at the other type of special right triangle, the 45-45-90:
The side opposite the 45s are s (remember side lengths are equal whose opposite angles are equal); and the hypotenuse is always
[tex]s \sqrt{2} [/tex]
we only need QR, which is s, which is also = RT
So the answer is:
QR = x = 4
x = 4 IS THE FINAL ANSWER!!!
[ i hope by my explanations you understand how better to do special right triangles in the future] :-D
Answer: The correct answer is 4
Step-by-step explanation:
Here is proof from the quiz
find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.
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3(2^2) -5(2)+20 = 12 - 10 + 20 = 22
4(2^2) +8(2) = 16 + 16 = 32
P = 31 + 44 + 22 + 32 = 129
answer
129 inches
Answer:
Perimeter is 129 inches.
Step-by-step explanation:
We are given,
A quadrilateral with sides lengths [tex](4x^2+8x),(3x^2-5x+20),(7x+30),31[/tex] inches.
Now, the values of the side lengths when x = 2 are,
[tex](4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch[/tex]
Since, Perimeter of a quadrilateral = Sum of its sides.Then, Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches.
Hence, the perimeter is 129 inches.30 POINTS + BRAINLIEST! SHOW YOUR WORK FOR BRAINLIEST PLEASE!
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2x + 3 + 4x + 3 = 180o
6x + 6 = 180
6x = 174
x = 174 / 6
x = 29
C = 2x + 1
C = 2*29 + 1
C = 59o
2x+3+4x+3= 180o 6x+6=180 6x=174 174/6 29
2x+1 (2)29+1 59o
Step-by-step explanation:
6.3% of 41 is?
a. 2.6
b. 6.5
c. 258.3
d. 650.8
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a✓
El lote de la familia lópez tiene un lote de 16m*10m y se desea construir una casa de base rectangular en el centro de el.¿que dimensiones debe tener el rectángulo del piso de la casa si tiene un área de 91m2?
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If the house is to be centered, we will take the same amount from the width as we do from the length of the lot for the dimensions. This gives us (10-x) and (16-x) as the dimensions.
The area of a rectangle is found by multiplying the length and width:
(10-x)(16-x) = 91
Multiplying the binomials we have:
10*16 - x*10 - x*16 -x*(-x) = 91
160 - 10x - 16x --x² = 91
160-10x-16x+x² =91
Combine like terms:
160-26x+x²=91
Rewrite this in standard form:
x²-26x+160=91
Subtract 91 from both sides:
x²-26x+160-91 = 91-91
x²-26x+69 = 0
Factoring this, we look for factors of 69 that sum to -26. -23*-3 = 69 and -23+-3 = -26, so:
(x-23)(x-3) = 0
Using the zero product property we know that either x-23=0 or x-3=0, so x=23 or x=3.
x was the amount we take off of the width and length of the lot; if we took 23m off of it, 10-23 gives us a negative amount, which is not realistic. This means both the width and length are subtracted by 3.
10-3 = 7 and 16-3 = 13.
These are the dimensions of the house.
The mean of 10,12,16,20,p,26 is 17.Find the value of p.
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17 * 6 = 102
10 + 12 + 16 + 20 + 26 = 84
p = 102-84 = 18
p = 18
__________________________________________________
Explanation:
__________________________________________________
The [arithmetic] mean =
{the sum of all the values in the data set}
divided by {the number of values in the number set} ;
__________________________________________________
→ 17 = (10 + 12 + 16 + 20 + 26 + p) / 6 ;
__________________________________________________
→ (10 + 12 + 16 + 20 + 26 + p) = 17 * 6 ;
→ (p + 84) = 102
Subtract "84" from each side of the equation;
to isolate "p" on one side of the equation; & to solve for "p" ;
→ p + 84 – 84 = 102 – 84 ;
→ p = 18 .
_________________________________________________
The answer is: " p = 18 " .
_________________________________________________
Maria plans to fill pots in her garden with soil and plant food. Maria has 8 1/2 quarts of soil as 1 1/2 quarts of plant food. Each pot requires 3/4 quart of soil. For how many pots does Maria have enough soil?
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- Maria has 8 1/2 quarts of soil.
- Each pot requires 3/4 quart of soil.
2. Keeping this on mind, you can convert the mixed number 8 1/2 and the fracion 3/4 to decimals, as below:
8 1/2=8.5 quarts
3/4=0.75 quarts
3. Therefore, you have:
1 pot-----0.75 quarts
x-----8.5 quarts
x=(8.5x1)/0.75
x=11 pots
For how many pots does Maria have enough soil?
The answer is: 11 pots
If the function graphed is f(x), find f(1).
A) -4
B) -1/4
C) 0
D) 4
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-----------------------------------------------
Step 1) Draw a vertical line through 1 on the x axis
Step 2) Mark the point where the vertical line and the blue curve intersect (or cross each other)
Step 3) Draw a horizontal line through the point marked in step 2. Note how this horizontal line goes through -4 on the y axis.
So the point (1,-4) is on the blue curve. This means if x = 1 is the input then y = -4 is the output. Recall that y = f(x). So f(x) = -4 is the output as well when the input is x = 1.
In short, this is why f(1) = -4
Joes is 10 years older than james. in 8 years joe will be three times older than james. how old are they now
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someone please help :(
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Because 5/4 = 1.25
tan (51) = 1.235
tan (45) = 1
tan (60) = 1.732
tan (57) = 1.5399
The closest to 1.25 is tan (51)
Hope this helps :)
Find the product of (x + 5)(x − 5). (1 point)
x2 − 10x + 25
x2 + 10x + 25
x2 − 25
x2 + 25
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x^2-5x+5x-25 = x^2-25
12 ticket sellers, 25 cleaning persons, and 15 ushers employees will be paid $10, $7.50, 8.50 per hour for 50 hours per month what is the monthly salary
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Ticket Sellers
----------------------------------------------------------
1 ticket seller = $10 x 50
1 ticket seller = $500
12 ticket sellers = $500 x 12
12 ticket sellers = $6000
----------------------------------------------------------
Cleaning person
----------------------------------------------------------
1 cleaning person = $7.50 x 50
1 cleaning person = $ 375
25 cleaning person = $375 x 25
25 cleaning person = $9375
----------------------------------------------------------
Ushers
----------------------------------------------------------
1 usher = $8.50 x 50
1 usher = $425
15 ushers = $425 x 15
15 ushers = $6375
----------------------------------------------------------
Total
----------------------------------------------------------
$6000 + $9375 + $6375 = $21750
----------------------------------------------------------
Answer: Total monthly salary per month = $21750
----------------------------------------------------------
What is the term for a Wage and Tax statement and what is it’s purpose?
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what is the sum of
2(5a-4a)+6a
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5a - 4a = a
Then you would multiply 2 by a, which would equal 2a.
Finally, combine all like terms (all terms with a), to get 8a. (2a + 6a = 8a)
Hope this helps!
We need to open the brackets and distribute the 2
However, we can see that both the terms within the parenthesis are like terms
5a - 4a = 1a or a
2(1a) + 6a
2a + 6a We can combine the like terms
= 8a
If the clock has a radius of 15 inches, how many inches of ribbon will terry need to use to surround the clock?
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r=15 inches
C=2*3.14*15=94.20 inches of ribbon
What is the missing value in the following arithmetic sequence?
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so
5.6 + 1.8 = 7.4
missing is 7.4
answer is C. 7.4
Answer:
Step-by-step explanation:
Alright, lets get started.
The first term is 2 and the second term is 3.8.
It means the common difference is [tex]3.8-2 = 1.8[/tex]
So, adding common difference :
First term = 2
Second term = 3.8
Third term = [tex]3.8+1.8=5.6[/tex]
Fourth term = [tex]5.6+1.8 = 7.4[/tex]
So the answer is 7.4 : answer
Hope it will help :)