Solve the equations.
[tex]\sqrt{x^{2} } =14[/tex]
[tex]\sqrt{x^{2} } =17[/tex]
[tex]\sqrt{y^{2} } =5[/tex]
Answer:
[tex]x=\pm14\\x=\pm17\\y=\pm5[/tex]
Step-by-step explanation:
Generally, equations in the form [tex]\sqrt{x^2}=c[/tex] where [tex]c[/tex] is some constant, would have [tex]x=\pm c[/tex] as its solution.
This is because the square of a number is always positive regardless of the sign of [tex]x[/tex].
Liam invests $3,670 in a savings account at his local bank which gives 1.9% simple annual interest. He also invests $2,040 in an online savings account which gives 5.5% simple annual interest. After five years, which one will have earned more interest, and how much more interest will it have earned, to the nearest dollar?
Step-by-step explanation:
Given:
Investment P₁ = $3670Investment P₂ = $2040Rate of interest r₁ = 1.9% SIRate of interest r₂ = 5.5% SITime t = 5 yearsFind amount of interest in both investments:
I₁ = P₁r₁t = $3670*(1.9/100)*5 = $348.65I₂ = P₂r₂t = $2040*(5.5/100)*5 = $561.00As we see the online savings account earns more interest and the difference is:
$561.00 - $348.65 = $212.35 ≈ $212Elena sold ice cream at the fair. One day she sold one-third of the gallons of vanilla ice cream that she had, and then gave away 3 more gallons of vanilla ice cream. At the end of the day, she had one gallon of vanilla ice cream left. Write an equation to find how many gallons of vanilla ice cream Elena had at the beginning of the day.
Answer:
Nn seem xjjxjjxncjicucdjxklzkjcjfnfklcocjcnndjcicjcnmdjdjxjxjcjcjckckckkckcmcjdjcjceujesjkxmcmckkckckckckckckStep-by-step explanation:
Fand the most part in 2? the best. I think you are awesome. edit! edit on your post? edit! I cut off a bit of payer
Someone please help me with this question
help pls need help show your solution and then graph
Answer:
Step-by-step explanation:
We can use the quadratic formula or factor, This looks hard to factor so we should use the quadratic formula.
ax^2 + bx + c
so
a=4
b=-9
c=2
you can try it by hand or use this:
https://www.calculatorsoup.com/calculators/algebra/quadratic-formula-calculator.php
you get x=2 and x=0.25 these are the x intercepts (where Y is zero and where the graph crosses the x axis)
so mark x=2 and x=0.25 with a dot on a number line and you can draw a straight line between them since that is the part of the graph that is below the x axis (because the equation has <0) it is a positive parabola because the "a" value is positive and the presence of a "b" value means part of the graph will be below the x axis
can someone factorize 7x+xz+7z+z2 for me?
Answer:
Step-by-step explanation:
in which way do you want it factorized?
Can some one help quickly. Please show work
Answer: the answer is 2
Step-by-step explanation:
Given the diagram below find the value of x
Answer:
x = 15
Step-by-step explanation:
a straight line has the angle of 180 degrees
so when added together both angles should equal 180
4x - 17 + 137 = 180
then combine like terms
4x + 120 = 180
and then subtract
4x = 60
and then divide
x = 15
and that is your answer
The dimensions of a right triangle are shown in the diagram.
What is the length of the missing side, to the nearest tenth of a centimeter?
Answer:
18.4 cm
Step-by-step explanation:
For this problem, you would use Pythagorean Theorem or a^2+b^2=c^2. Don't forget that the c in the formula is always your hypotenuse or the longest side of the triangle. The a and the b are always the legs of the triangle. (It doesn't matter which leg is which letter) The hypotenuse is also always across from the 90 degree angle. Picture the 90 degree angle as an arrow pointing to the hypotenuse. In this case, the hypotenuse (or c) is 20.7 cm. Now all you have to do is plug and chug! I hope this helps you and thanks for asking your question!!
I need help, answering this!
Answer:
The length is 15.71 feet.
Step-by-step explanation:
pls answer this for meeee
Answer:
7 hamsters at 5 pesos each and 13 hamsters at 8 pesos each
Step-by-step explanation:
5x + 8y = 139
x + y = 20
x = 20 - y
5x + 8y = 139
5(20 - y) + 8y = 139
100 - 5y + 8y = 139
100 + 3y = 139
3y = 139 - 100
3y = 39
3y/3 = 39/3
y = 13
x + y = 20
x + 13 = 20
x = 20 - 13
x = 7
100 POINTS
find surface area!!
Step-by-step explanation:
The figure consists of 6 rectangle and 2 triangle faces.
Surface area (excluding bottom side) is:
S = 2(2.4*1.6 + 1.3*1.6 + 1.5*1.6 + (1/2)*2.4*0.9) = 18.8 yd²Total surface area (including bottom side):
A = 18.8 + 2.4*1.3 = 21.92 yd²Answer:
[tex]s \: = \: 2(2.4 \times 1.6 + 1.3 \times 16 + 1.5 \\ \times 16 + ( \frac{1}{2} ) \times 2.4 \times 0.9) \\ \\ = 18.8y {d}^{2} \\ \\ total \: surface \: area \: ( \: including \\ \\ bottom \: side \: ) \\ \\ a \: = 18.8 + 2.4 \times 13 \\ \\ = 21.92y {d}^{2} [/tex]
Write the slope-intercept form of the equation of the line through the given point.
Through: (-4, -5) and (4, 2)
Answer:
y = mx + b.
y = 7/8x - 3/2
Step-by-step explanation:
Hope this helps!! :))
Which of the following closet to a yard in length?
(a).0.1m
(b).0.01m
(c).1m
(d).100m
Could you answer my question ⁉️
Answer:
option. b
Step-by-step explanation:
.0.01m........
Hello everyone how are ya‘ll help plz
23x+4=30
Answer:
= 26/23
Step-by-step explanation:
graph the line y=3(x+3)+4
Answer:
Check out the image below the explanation.
Step-by-step explanation:
1. First, let's simplify the equation.
[tex]y = 3(x) + 3(3) + 4[/tex] [tex]y = 3x + 9 + 4[/tex] [tex]y = 3x + 13[/tex]2. Since the equation is y = 3x + 13:
The y-intercept is 13.For every 1 unit we go to the right, we go 3 units up.Now, here's the graph!
Ok i just learned this ;-;
Answer:
x-axis = (18, 0)
y-axis = (0, 12)
Quadrant I = (4.5, 10.6)
Quadrant II = (-15, 21)
Quadrant III = (-3/4, -4 1/9)
Quadrant IV = (3, -7)
Step-by-step explanation:
Hope this is helpful.
2.9. What is the equation of a line parallel to 3x + 4 = y and passing through
(4,-2)?
A. 3x + 10 = y
B. 3x – 14 = y
C. -*-=y
D. --*x+10=y
Hello! (:
3x+4=y
We want to convert it into slope-intercept form:
y=mx+b
Our equation looks like this:
y=3x+4
Now, parallel lines have the same slope. So if one line has a slope of 3, the line parallel to it has a slope of 3 as well.
Now, we have the slope and a point, so we write the equation in point-slope form:
y-y1=m(x-x1)
y-(-2)=3(x-4)
y+2=3x-12
y=3x-12-2
y=3x-14
Hence, that is the required equation, Hope it helps you!
If you have any question or query, feel free to ask! (:
~An excited gal
[tex]SparklingFlower (:[/tex]
8. Evaluate: f(x) = x2 + 1
g(x) = 5 - x
a. (f+g)(x) =
b. (f-g)(x) =
Answer:
(f+g)(x)=2x+1+5 - x
(f+g)(x)=x + 6
(f - g)(x)= 2x + 1 - (5- x )
(f - g)(x)= 3x - 4
The sum of 7 angles of a decagon is 1170°. The 3 sides are equal to each other. Calculate the size of the other 3 angles.
Answer:
180.....1888888888888888
Answer:
90 degrees
Step-by-step explanation:
Decagon interior angles: 1,440 degrees
1440 - 1170 = 270
270/3 = 90
what type of triangle is ABC,give reasons
Answer:
ABC in the given figure is an equilateral triangle, its all sides are equal. AB = BC = CA. (i) A triangle in which all the three angles are acute is called an acute angled triangle
True of False? The blue radius is perpendicular to the green chord
Answer:
Step-by-step explanation:
true i think
The statement that the blue radius is perpendicular to the green cord is false.
What are radius and chords?The radius of a circle is any line segment connecting the centre of the circle to any point on the circle. The chord of a circle is a line segment joining any two points on the circle.
From the complete question,
The blue radius does not bisect the green chord
This means that the blue radius and the green chord do not meet at 90 degrees
Since both lines do not meet at 90 degrees, then they are not perpendicular
Hence, the statement that the blue radius is perpendicular to the green cord is false
Read more about radius and chords at:
brainly.com/question/1869643
#SPJ7
Factorise -x^2-20x-100
Answer:
(x+10)(x+10) or (x+10)^2
Step-by-step explanation:
Divide by -1 first
a=1
b=20
c=100
Since a*c whose sum is b...
1*100=100
10*10=100 and adds to 20
The answer is (x+10)(x+10) or (x+10)^2
The sum of a number times 7 and 24 is at most -18. Use the variable x for the unknown number.
Answer:
unknown number=-6
Step-by-step explanation:
Let x be the unknown number.
7x+24=-18
7x=-18-24
=-42
x=-42÷7
=-6
Hence, unknown number=-6.
Answer:
Step-by-step explanation:
10n + 27 >= -18
Find the equation of the line, whose slope is 5 and x- intercept is 2
Answer:
Step-by-step explanation:
when x intercept is points given, then y = 0
So far, you have y = 5x + b where b = the yintercept
x = 2
y = 0
0 = 5x + b
0 =5 * 2 + b
0 = 10 + b Subtract 10 from both sides.
-10 = b
Equation: y = 5x - 10
I am really confused
Answer:
the answer is (B) 66 inch .
Simplify the linear expression.
−2/3a+1/8−1/6a−3/4
Enter your answer as simplified fractions in the boxes.
Answer:
-5/6a - 5/8
Step-by-step explanation:
i took the k12 quiz
HELP ASAP FOR BRAINLIST CROWN
Which function has the greater y-intercept? What is that value?
-10
4
10
3
16
Function A; 1.5
Function B; 30
Function B; 23
Function B; 3
8
2
Function A; 1
Function B; 1
Function A; 9
Answer:
function A;1
function B:30
Which of the following represents a combination reaction?
Select one:
a.
AB --> A + B
b.
AB + CD --> AD + BC
c.
A - B --> C
d.
A + B --> AB
Answer:
option a is the correct.
I think
The sum of two numbers is 88. The larger number is 16 more than the smaller number. What is the smaller number?
Answer: please mark me brainliest
28
Step-by-step explanation:
you half 88 you get to 44 and then you add 16 that is 60. 88 subtract 60 is 28
