Step-by-step explanation:
Think of it like a right triangle. Do you have a graph handy?
Ok, graph both of the points. Now connect the points. That's our hypotenuse and the side length we want to find.
Now, bring down a line from (-3,5) to the x axis. Do you see a right triangle?
All we have to do is find the hypotenuse of this right triangle we just drew. We already have the leg lengths which are 3 and 5. Using this, do the pythagorean theorem.
9+25=34
√34 is our hypotenuse & distance between the points
Answer:
[tex]\displaystyle d = \sqrt{34}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (0, 0)
Point (-3, 5)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3-0)^2+(5-0)^2}[/tex][√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-3)^2+(5)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{9+25}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{34}[/tex]Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19
Answer:
Take the square root of each side of the equation to set up the solution for
x
(
3
x
−
5
)
2
⋅
1
2
=
±
√
19
Remove the perfect root factor
3
x
−
5
under the radical to solve for
x
.
3
x
−
5
=
±
√
19
The complete solution is the result of both the positive and negative portions of the solution.
Tap for more steps...
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
The result can be shown in multiple forms.
Exact Form:
x
=
√
19
3
+
5
3
,
−
√
19
3
+
5
3
Decimal Form:
x
=
3.11963298
…
,
0.21370035
…
The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ (3x - 5)² = 19
Now,
We can simplify the expression for the solutions as;
⇒ (3x - 5)² = 19
Take square root both side,
⇒ √(3x - 5)² = √19
⇒ (3x - 5) = √19
Add 5 both side,
⇒ 3x - 5 + 5 = √19 + 5
⇒ 3x = √19 + 5
⇒ 3x = ± 4.36 + 5
⇒ 3x = 4.56 + 5
⇒ 3x = 9.36
Divide by 3;
⇒ x = 9.36 / 3
⇒ x = 3.12
And, 3x = - 4.56 + 5
3x = 0.64
x = 0.64/3
x = 0.21
Thus, The solutions of the of the equation are,
⇒ x = 3.12
⇒ x = 0.21
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ7
What is AC? ACB is right angle triangle. Side AB is 37 and BC is 35.
Answer:
The answer is 12
Step-by-step explanation:
If you would like you could use this tool https://www.omnicalculator.com/math/right-triangle-side-angle
Also 12, 35, 37 is a pythagorean triple further proving that tyheanswer is 12.
Shelly bought 53.6 gallons of orange juice and used 18.3 gallons of it to make popsicles how much orange juice dose shelly have left
Ravi and Hasan bought 13⁄4 of pies , Ravi ate 1/3 and Hasan ate 2/3 of it
. How much pie is left?
Answer:
The final answer is 0
Step-by-step explanation:
1/3 + 2/3 = 1 which means Ravi and Hasan ate the whole thing
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
2x + 3y = -60
2x + 3y = 120
quations
Which statement describes the solution to this system of equations?
Answer:
No solution.
Step-by-step explanation:
Use elimination/linear combination to solve the following.
please help
Answer:
Step-by-step explanation:
3x + 4y = 17
5x - 4y = 7
you can thus cancel out 4y
Hence
8x = 24
Hence x = 3
Substituting’
3(3) + 4y = 17
9 + 4y = 17
Hence 17 - 9/4
= y = 2
Hope this helps
An arborist examined trees in an orchard to see if they were infected with a virus. The arborist counted 7 infected trees and 43 healthy trees. What percentage of the trees in the orchard were infected?
Answer: Percentage of infected trees =2%
Step-by-step explanation:
Number of Infected trees =7
Number of healthy trees=43
Total number of trees in the orchard=43+7=50
Percentage of infected trees =Number of Infected trees/Total number of tress in the orchard x 100
7/50 x 100 =2%
7 1/2 divided by 3/4 =
Help please ;-;
Answer:
10
Step-by-step explanation:
convert mixed number into improper fraction
15/2÷3/4
to divide by a fraction multiply by the reciprocal of that fraction
15/2×4/3
reduce the numbers with the greatest common factor 3
5/2×4
reduce the numbers with the greatest common factor 2
multiply the numbers
5×2=10
10 is your answer
yo help me please if u can’t see please zoom in i need help asap
Answer:
96
Step-by-step explanation:
once you fill in the Blanks that are solvable, you will work your way into the answer. For example, the first column, the missing number has to be 155-76 or 79. Now you can find your answer. In the second row, “no Laptop”, you have 79 (solved above) plus 17. So your answer is 79+17 or 96.
Find the circumference of the circle to the nearest hundredth
11cm
Question: Find the circumference of the circle to the nearest hundredth
d = 11cm
Answer:
34.54 cm
Step-by-step explanation:
Applying,
P = πd...................... Equation 1
Where P = Circumference of perimeter of the circle, d = diameter of the circle, π = pie
From the question
Given: d = 11 cm
Constant: π = 3.14
Substitute these values into equation 1
P = (3.14×11)
P = 34.54 cm
A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares. What is the area of the shaded rectangle?
Answer:
Area of Rectangle = 28 cm²
Step-by-step explanation:
Given - A rectangle has coordinates (2, 6) (9, 6) (9, 10) and (2, 10) on a grid with 1 cm squares.
To find - What is the area of the shaded rectangle?
Solution -
The graph of the rectangle is as follows :
From the diagram, e can see that
Length of Rectangle = 7 units (cm)
Breadth of Rectangle = 4 units (cm)
We know that,
Area of Rectangle = Length × Breadth
= 7 × 4
= 28 cm²
⇒Area of Rectangle = 28 cm²
A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added to
make the probability of drawing a white marble ş?
A: 1
B: 2
C: 5
D. 7
E: 12
The net of a solid figure is shown below:
The net of a solid figure is shown below:
Which calculation will give the total surface area of the solid figure?
A) 3 x 6 x 6 square inches
B) 6 x 3 x 3 x 3 square inches
C) 3 x 6 x 6 x 6 square inches
D) 6 x 3 x 3 square inches
Answer:
D, 6 x 3 x 3
Step-by-step explanation:
One area of a square is 3 x 3 there are 6 squares so we multiply by 6 too.
A data set is normally distributed with a mean of 100 and a standard
deviation of 8.6. An element in this set is 96. What is the z-score for 96?
(answer with 3 decimal places)
Answer:
It is -0.465 when you add it to the nearest thousandth
Step-by-step explanation:
Please I need help ASAP! I don't know any of the answers. For the second question, I accidentally clicked on it.
Jonas received a gift card of $35.00 to use for an online App Market to buy applications for his tablet. All Apps cost $1.75. Which table represents the relationship between x, the number of Apps Jonas can buy, and y, the balance remaining on his gift card.
Answer:
A)
Step-by-step explanation:
The starting balance is $35
after one game purchase, the balance is 35-1.75=33.25
after two game purchases, the balance is 35-(1.75*2)=31.50
which of the following tables does NOT represent a function ? (i can’t get this wrong please help) (15 points)
Answer:
C
Step-by-step explanation:
the answer is c because there is more then one y value for 5
can i have help please i don't know the answer
Answer: 1.75=5n
Step-by-step explanation:
1.75 is being divided by n 5 times
Tomorrow the last day of school how ya feel?
-franz:)
Answer:
Ours is today. Feels weird how we came a long way with the pandemic presiding our academic studies.
Step-by-step explanation:
HELP ASAP!! WILL MARK U AS BRAINLIEST!!
Answer:
a Answers is A
b Answer is D
Step-by-step explanation:
he sayed that the X doubles in the first one so its ×2
and in the second one he sayed that the x is only triples so we dont have to Multiply we have to devide it 5/x/3=5/x ×1/3
please help!!!!!!!!!
Answer:
that would be 1
Step-by-step explanation:
in this equation x=74 and 74/74 equals one
Can someone plz help me plz I beg u plz
Answer:
A.... X=3
Step-by-step explanation:
can someone pls help
Answer:
C
Step-by-step explanation:
4(5)+10-12=18
Find the area of the given regular polygon
Round your answer to the nearest tenth, if necessary.
A. 221.7
B. 665.1
C. 280.6
D. 2660.4
Answer:
A.221.7Step-by-step explanation:
god bless
[tex]a[/tex]
Explain which properties you would use to fully expand (the problem in the screenshot)
Answer:
Firs property used : Quotient Property
[tex]log_b(\frac{X}{Y} ) = log_bX -log_bY[/tex]
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = log_b(\sqrt[3]{x}) - log_b(36y^2)[/tex]
Second property used : Product Property
[tex]log_b(XY) = log_bX + log_b Y[/tex]
[tex]log_b(\sqrt[3]{x}) - log_b(36y^2) = (log_b(\sqrt[3]{x}) - [log_b36 + log_by^2)[/tex]
Third property used : Power Property
[tex]log_b \sqrt[n]{X} = log_b(X)^{\frac{1}{n}} = \frac{1}{n} log_b X[/tex]
[tex](log_b(\sqrt[3]{x}) - [log_b6^2 + log_by^2) = \frac{1}{3} log_bx - 2log_b 6 - 2log_by[/tex]
Fully expanded form:
[tex]log_b(\frac{\sqrt[3]{x} }{36y^2} ) = \frac{1}{3} log_b x-2log_b6-2log_by[/tex]
Convert the following equation into slope intercept form y-6=2(x+4)
Answer:
y = 2x +14
Step-by-step explanation:
We need to convert the given equation into slope intercept form ,
=> y - 6 = 2(x+4)
=> y -6= 2x + 8
=> y = 2x +8+6
=> y = 2x + 14
• Hence the required answer is y = 2x + 14All dimensions of a cylinder are multiplied by 1.5. Which statement is true?
A. The total surface area is multiplied by 3.375.
The volume is multiplied by 2.25.
B. The total surface area is multiplied by 2.25.
The volume is multiplied by 3.375.
C. The total surface area is multiplied by 3.
The volume is multiplied by 4.5.
D. The total surface area is multiplied by 4.5.
The volume is multiplied by 3.
Answer:
The true statement is;
B. The total surface area is multiplied by 2.25
The volume is multiplied by 3.375
Step-by-step explanation:
By scale drawing proportionality, we have;
The amount by which all the dimensions of the cylinder are multiplied to create an image of the cylinder = 1.5
∴ The scale factor between the original cylinder and the image of the cylinder, S.F. = 1.5
By rule, we have;
The area factor of the surface area = S.F.² = 1.5² = 2.25
Therefore;
The total surface area of the original cylinder is multiplied by 2.25 to get the total surface area of the image of the cylinder
By rule, we have;
The volume factor = S.F.³ = 1.5³ = 3.375
Therefore;
The volume of the original cylinder is multiplied by 3.375 to find the volume of the image of the cylinder.
Answer:
B
Step-by-step explanation:
Each envelope in the class contains the same number of triangles and quadrilaterals. Write an expression that
represents the total number of sides in the room.
Answer: 3t+4q.
Step-by-step explanation: Triangles have 3 sides, so there will be 3 sides for each triangle in the envelope. This is represented by 3t. Quadrilaterals have 4 sides, so there will be 4 sides for each quadrilateral in the envelope. This is represented by 4q. The total number of sides will be the number of triangle sides and the number of quadrilateral sides together.
Pls, help me with this math question
Answer:
Perimeter [tex]\sqrt{26}+\sqrt{5}+\sqrt{10}+\sqrt{17}[/tex] units. Area 12 square units.
Step-by-step explanation:
Perimeter: total distance around the figure.
Distance Formula: the distance between points [tex]\left(x_1,y_1\right) \text{ and } \left(x_2,y_2\right)[/tex] is
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]AB=\sqrt{(6-1)^2+(2-1)^2}=\sqrt{25+1}=\sqrt{26}[/tex]
[tex]BC=\sqrt{(5-6)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5}[/tex][tex]CD=\sqrt{(2-5)^2+(5-4)^2}=\sqrt{9+1}=\sqrt{10}[/tex][tex]DA=\sqrt{(1-2)^2+(1-5)^2}=\sqrt{1+16}=\sqrt{17}[/tex]
The perimeter is the sum of all those segment lengths.
One way to find the area of the figure is to surround it with a rectangle, insert some lines so that the areas you do not want can be found and subtracted from the rectangle's area. (See attached image.)
The area of the large rectangle around the figure is 5 x 4 = 20 square units.
The triangles have areas 1/2 (base) (height):
A. (1/2)(1)(4) = 2 square units
B. (1/2)(3)(1) = 1.5 square units
D. (1/2)(1)(2) = 1 square unit
E. (1/2)(5)(1) = 2.5 square units
Square C. (1)(1) = 1 square unit
Total of all the area you don't want to include:
2 + 1.5 + 1 + 2.5 + 1 = 8 square units
Subtract 8 from the surrounding rectangle's area of 20, and you get the area of the figure is 20 - 8 = 12 square units.
How many reflectional symmetries does this figure have?
Enter your answer in the box.
_ reflectional symmetries
How many rational symmetries does this figure have?
Enter your answer in the box.
_ rotational symmetries
Answer:
1 & 1
Step-by-step explanation: