Answer:
x = 2
y = -1
Step-by-step explanation:
2x - 5y = 9
3x + 4y = 2
find x in terms of y using the first equation
2x - 5y = 9
2x = 9 + 5y
x = 4.5 + 2.5y
substitute x for 4.5 + 2.5y in the second equation
3x + 4y = 2
3(4.5 + 2.5y) + 4y = 2
13.5 + 7.5y + 4y = 2
13.5 + 11.5y = 2
11.5y = 2 - 13.5
11.5y = -11.5
y = -1
now substitute y for -1 in the first equation
2x - 5y = 9
2x + 5 = 9
2x = 9 - 5
2x = 4
x = 2
Question 4
A
B
C
D
PLEASE HELP!!!
Answer:
B
Step-by-step explanation:
What is the midpoint of the segment shown below?
Answer:
We conclude that the midpoint of the segment is:
[tex]\left(-\frac{9}{2},\:\frac{3}{2}\right)[/tex]Hence, option D is correct.
Step-by-step explanation:
Given the points
(-6, -1)(-3, 4)Finding the midpoint of the segment using the formula
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-1\right)[/tex]
so
[tex]=\left(\frac{-6-3}{2},\:\frac{-1+4}{2}\right)[/tex]
[tex]=\left(-\frac{9}{2},\:\frac{3}{2}\right)[/tex]
Therefore, we conclude that the midpoint of the segment is:
[tex]\left(-\frac{9}{2},\:\frac{3}{2}\right)[/tex]Hence, option D is correct.
An artist is creating a triangular sculpture and plans to balance the sculpture on a tripod. The tripod will be connected to a pivot point located at the centroid of the triangle A diagram of the triangular sculpture shown by A ABD was used to determine the location of the pivot point for the tripod. which will be at point G. The length of one median of the triangular sculpture DF s 60 feet What is the distance from one corner of the sculpture, at point D. to the pivot point of the tripod? Enter your answer by sang in the box
Answer: 40 feet
Step-by-step explanation:
determine the value of p if one root of equation x^2+px+1=0 is the square of other.
Answer:
-2
Step-by-step explanation:
Given equation is x²+px+1=0
comparing the equation with ax²+bx+c=0
then a=1,b=p,c=1
let the roots one root of the equation be A then
by question, another root is A².
we know
A(ALPHA)+A²(beta)=-b/a
A+A²=-p/1
A+A²=-p......1
again
A*A²=c/a
A³=1/1
A³=1
A=1
Now,
substituting A=1 in equation 1
1+1²=-p
2=-p
Therefore p=-2.
1. Identify the domain of the graphed function
simplify the expression 8(w-4)
Drag each tile to the correct box.
Determine the best type of savings fund for each situation.
401(k)
rainy-day fund
sinking fund
emergency fund
money needed to start a business
paying utility bills while unemployed
unexpected plumbing expenses
retirement
Answer:
sinking fund
emergency fund
rainyday fund
401k
Step-by-step explanation:
all in order
Are the triangles similar
Answer:
Yes
Step-by-step explanation:
Can I get brainliest? It will help
Macy’s is having a one-day 25% off special. If Bryan bought $110 worth of items, what would the final bill total after applying the discount of 25% and a sales tax of 6.5%? **Round to the nearest penny
Answer:87.86
Step-by-step explanation:
110x75/100=82.50
82.50x106.5/100=87.86
the height of a shed is 6cm. a ladder leans agaisnt the shed with its base 4.5 m away, and its top just reaching the roof. what is the length of the ladder?
Answer:
4.5m
Step-by-step explanation:
The set up is a right angles triangle
Height of the shed = opposite side = 6cm
Distance of the ladder from the shed = adjacent = 4.5m
Lenght of the ladder = Hypotenuse = x
Using pythegoras theorem to find the length of the ladder
hyp² = opp²+adj²
hyp² = 0.06² + 4.5²
hyp²= 0.0036+20.25
hyp² = 20.2536
hyp = √20.2536
hyp = 4.50m
Hence the length of the ladder is 4.5m
The temperature outside changed from 66°F to 42°F over a period of eight days. If the temperature changed by the same amount each day, what was the daily temperature change?
The fastest time for completing an obstacle course is 218 seconds. Artest completed the first half of the course in 95 seconds. It took him 124 seconds to finish the second half. a. What is Artest's total time? b. How does his time compare to the fastest time?
Answer:
219 Seconds ; He was 1 second faster
Step-by-step explanation:
Two halfs equal one whole, meaning both of the times added will equal the full time he took:
95+124=219
219 Seconds
He was 1 second faster because:
219-218=1
Can some PLEASE HELP ME I
Answer:
B
Step-by-step explanation:
because the equation when you get it is the number you divide with
Are the triangles similar
Answer:
C. similar by SAS
Step-by-step explanation:
The question is above.
Answer:
h(11) = 101
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(t) = -20 + 11t
h(11) is t = 11
Step 2: Evaluate
Substitute: h(11) = -20 + 11(11)Multiply: h(11) = -20 + 121Add: h(11) = 101B
113°
72°
А
с
D
Write a list of steps that are needed to find the measure of ZB.
Step-by-step explanation:
the exterior angle is equal to the sum of the interior angles on the opposite side.
As in angle BCD = angle BAC + angle ABC
113 = 72+angle ABC
angle ABC = 41
Answer:
180-113 to find the linear angle.
add that result with 72.
once found the sum, use 180 to subtract the sum to get angle B.
Which decimal has the same value as 2/5
Answer:
0.4
Step-by-step explanation:
hope it helped
A shopkeeper purchased 100 blankets at Rs. 2000 each. He found that 10 blankets were
defective and he sold these at Rs. 1200 each. At what rate should he sell the remaining
blankets so as to gain 14% on the whole ?
Answer:
2,400.
Step-by-step explanation:
Since the shopkeeper bought 100 blankets at $ 2000 each, he spent a total of $ 200,000. He wants to make a total profit of 14% through his sale, that is, he wants to make sales for $ 228,000 (200,000 x 1.14).
Since he sold 10 defective blankets at $ 1200 each, he recovered a total of $ 12,000. Therefore, he has $ 216,000 (228,000 - 12,000) left to achieve his goal, through the sale of 90 blankets. Therefore, you must sell each blanket for $ 2,400 (216,000 / 90) to make the desired profit.
What is 1 1/4 + 3 5/8 + 3 1/2? Show your work.
Answer:
Step-by-step explanation:
1 2/8 + 3 5/8 + 3 4/8
= 7 11/8
8 3/8
Divide: 4/0 is it 0, undefined, 1, 4 or none of the above?
Answer: Undefined
Step-by-step explanation:
4/0 is undefined. This is because any number divided by zero is undifined.
Tom's first four test scores in his math class were 75, 75, 72, and 86.
What was his mean score?
0 86
072
0 77
o 75
Answer: 77
Step-by-step explanation:
u add up all the numbers then divide by how many numbers there are
PLEASE HELP
Divide.
(6.496×10^−6)÷(2.8×10^5)
Express your answer in scientific notation.
Answer:
=(6.496x10^-6)x10^-5/2.8
=6.496/2.8 x10^-6 x10^-5
= 2.32 x 10^(-6-5)
=2.32 x10^-11
=2.32/10^11
Ms. Ledford wanted to cover the classroom with new carpet. If the length of the
classroom was 12 feet and the width was 8 feet. How much carpet would she need
to buy?
Answer:
96 ft^2
Step-by-step explanation:
12ft × 8ft to find area of classroom
96ft so Ms. Ledford has to buy 96 square feet of carpet
Answer:
96 ft^2
Step-by-step explanation:
Area = L x W
12 x 9=96
Help pleaseeee anybodyu
Answer:
A and D
Step-by-step explanation:
A new health drink has 170% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
Answer:
34
Step-by-step explanation:
PLEASE HELP
This table models a linear function.
x -8 -4 4 8
y -1 0 2 3
Enter the coordinates of the y-intercept in the boxes.
Answer:
[tex](x,y) = (0,1)[/tex]
Step-by-step explanation:
Given
The above table
Required
Determine the coordinates of the y intercept
Represent points on the table as:
[tex](x_1,y_1) = (4,2)[/tex]
[tex](x_2,y_2) = (8,3)[/tex]
First, calculate slope (m):
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3-2}{8 - 4}[/tex]
[tex]m = \frac{1}{4}[/tex]
For y intercept, the following coordinate point exist:
[tex](x_3,y_3) = (0,y)[/tex]
Because x = 0 at y intercept
Calculate the slope as:
[tex]m = \frac{y_3 - y_1}{x_3 - x_1}[/tex]
The equation becomes
[tex]\frac{1}{4} = \frac{y - 2}{0 - 4}[/tex]
[tex]\frac{1}{4} = \frac{y - 2}{- 4}[/tex]
Cross Multiply:
[tex]4(y-2) = -4 * 1[/tex]
Divide through by 4
[tex]y - 2 = -1 * 1[/tex]
[tex]y - 2 = -1[/tex]
Make y the subject:
[tex]y = 2-1[/tex]
[tex]y = 1[/tex]
Hence, the coordinates of the y intercept is:
[tex](x,y) = (0,1)[/tex]
Solve the system for x and y.
-8x - 5y = -1
-8x - y = -45
Answer:
1. x= 1/8-5y/8 and y= 1/5-8x/5
2. x= 45/8-y/8 and y= 45-8x
Choose all of the equivalent expressions of (a + b)(x + y).
(a + b)x + (a + b)y
a(x + y) + b(x + y)
(b + a)(y + x)
ax + by
ax + bx + ay + by
ay + bx
Answer:
(a + b)x + (a + b)y
Step-by-step explanation:
You would have to factor out the expression to find the answer.
A pack of cinnamon-scented pencils sells for $7.00. What is the sales tax rate if the total cost of the pencils is $7.35?
Answer:
35 cents
Step-by-step explanation:
Can you please help me for 2 questions
First question is...
Which of the inequalities or equations below are true?
a) |-15| < -10
b) |-15| < 10
c) |-15| = -15
c) |-15| > 10
d) none of the above
2nd question is...
Complete the equation: |10| =__
a) -10
b) 10
c) 1/10
d) none of the above
Answer:
see explanation
Step-by-step explanation:
1. c
2.b