Complete the statements about the linear equation 10x + 4y =
-20. Enter the intercepts as Coordinate points.
The x-intercept is
choose your answer...
and the y-intercept is
choose your answer.…
Answer:
x-intercept: (-2, 0)
y-intercept: (0, -5)
Step-by-step explanation:
Note:Since the options were not included in the original post, I will be providing the solutions (coordinates of the intercepts).
Given the linear equation in standard form, 10x + 4y = -20, where we must determine the x- and y-intercepts of the graph:
X-intercept:The x-intercept, in the form (a, 0), is the point on the graph where it crosses the x-axis. Thus, it is the value of x when its corresponding y-coordinate is: y = 0.
In order to find the x-intercept, set y = 0 and solve for the value of x:
10x + 4y = -20
10x + 4(0) = -20
10x + 0 = -20
10x = -20
Divide both sides by 10 to solve for x:
[tex]\displaytext\mathsf{\frac{10x}{10}\:=\:\frac{-20}{\:10}}[/tex]
x = -2
Hence, the x-intercept is (-2, 0).
Y-intercept:The y-intercept, in the form (0, b ), is the point on the graph where it crosses the y-axis. Thus, it is the value of y when its corresponding x-coordinate is: x = 0.
In order to find the y-intercept, set x = 0 and solve for the value of y:
10x + 4y = -20
10(0) + 4y = -20
0 + 4y = -20
Divide both sides by 4 to solve for y:
[tex]\displaytext\mathsf{\frac{4y}{4}\:=\:\frac{-20}{\:4}}[/tex]
y = -5
Hence, the y-intercept is (0, -5).
1. The dimensions of a sailboat's mainsail are shown below. What is the height of the sail?
32.5 ft
12.5 ft
32.5 feet
30 feet
30.7 feet
35.2 feet
Answer:
30 feet
Step-by-step explanation:
For this, you have to use pythagoras' theorem - a^2=b^2+c^2, or to work out the hypotenuse - a^2=b^2-c^2, where b is the hypotenuse.
You just need to substitute the numbers into this formula to get 32.5^2-12.5^2=900.
The you work out the square root of 900, which is 30.
Can someone help? Show work
write the equation in general form
Step-by-step explanation:
here is your answer hope you will enjoy and mark me as brainlist
thank you
need a step by step explanation plz
i need help with this question plz help
Train A has a speed 35 miles per hour greater than that of train B. If train A travels 300 miles in the same times
train B travels 195 miles, what are the speeds of the two trains?
Step-by-step explanation:
That's the answer! hope it helped!
What is the equation of a quadratic function whose vertex is (3, 0) and a = 1 and passes through the point (2, 1)? *
a. y = (x + 3)²
b. y = (x + 2)²
c. y = (x - 3)²
d. y = (x - 2)²
Given the roots of a quadratic function 3 and 2, which of the following functions has these roots? *
a. y = x² – 5x + 6 :)
b. y = x² – x + 6
c. y = x² – 5x + 3
d. y = x² + x + 5
Answer:
c
a
Step-by-step explanation:
yeah-ya....... right?
As a puppy, Cricket weighed 2 1/4 pounds. At her 1-year check-up with the vet, Cricket weighed 9.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number.
A. 6.25
B. 12.75
C. 11.75
D. 7.25
Answer:
D. 7.25
Step-by-step explanation:
9.50-2.25=x
9.50-2.25= 7.25
The weight gained by cricket in between the time she was a puppy and her 1-year checkup is 7.25 pounds. Hence, option D is correct.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the data provide by the question,
Initial weight of puppy = 9/4 = 2.25 pounds.
After 1-year, weight = 9.5 pounds.
Weight gained by the puppy = 9.5 - 2.25 = 7.25
Therefore, weight gained by the puppy is 7.25 Pounds.
To know more about arithmetic operations:
https://brainly.com/question/13585407
#SPJ2
Solve the logarithmic equation.
y= log5 125
enter your answer in the box
y=
Answer:
2
Step-by-step explanation:
We have
=> y= log _5 25
=> y = log _5 5²
Using properties of log ,
=> y = 2 log_5 5
= > y = 2*1
=> y= 2
[tex]y = log_{5}(125) \\ = > y = log_{5}( {5}^{3} ) \\ = > y = 3 log_{5}(5) \\ = > y = 3 \times 1 \\ = > y = 3[/tex]
Answer:y = 3
Hope it helps.
Do comment if you have any query.
What will happen on January 20, 2021 in Washington D.C?
Answer:
The 59th Presidential Inauguration will take place on January 20, 2021. There have been many cold ceremonies, as well as warm ceremonies and even some snowy ceremonies.
Step-by-step explanation:
MATHEMATICAL CONNECTIONS Use the given information to write and solve a system of linear equations to find the values of $x$x and y$y$y . The text reads triangle L M N is congruent to triangle P Q R, the measure of angle L equals 40 degrees, the measure of angle M equals 90 degrees, the measure of angle P equals left parenthesis 17 x minus y right parenthesis degrees, the measure of angle R equals left parenthesis 2 x plus 4 y right parenthesis degrees. The equations are is equal to 40$=\ 40$= 40 and is equal to 50$=\ 50$= 50 . Question 2 $x\ =$x = and $y\ =$y =
The value of x and y is 2 and 11.5
The sum of the interior angle of a triangle is 180 degrees.
Since LMN and PQR are similar, hence:
m<L = m<P
m<M = m<Q
m<N = m<R
Given the following parameters
m< L = 40 degrees
m<M = 90 degrees
m<P = 17x - y
m<R = 2x + 4y
Get the measure of m<N
m<M + m<N + m<L = 180
90n+ m<N + 40 = 180
m<N = 180 - 130
m<N = 50degrees
Since m<P = m<L, hence;
17x - y = 40 ....... 1
Also m<R = m<N
2x + 4y = 50 .......... 2
Solve simultaneously
17x - y = 40 ....... 1 * 4
2x + 4y = 50 .......... 2 * 1
___________________________
68x - 4y = 160
2x + 4y = 50
Adding both equations
68x + 2x = 160 + 50
70x = 210
x = 2
Substitute x = 3 into the equation 2x + 4y = 50
2(2) + 4y = 50
4 + 4y = 50
4y = 50 - 4
4y = 46
y = 46/4
y = 11.5
Hence the value of x and y is 2 and 11.5
Learn more here: https://brainly.com/question/15165519
Hi can anyone work this out.
Evaluate
25 1/2
Answer:
25.5
Step-by-step explanation:
help!! show all steps!
Find SURFACE AREA
Answer:
132 cm²
Step-by-step explanation:
The area of the two triangular ends is ...
A = 2(1/2)(bh) = (4 cm)(3 cm) = 12 cm² . . . . . area of both triangles
The area of the three rectangular faces is ...
A = (b1)(h) +(b2)(h) +(b3)(h) = (b1 +b2 +b3)(h)
= (4 cm +3 cm +5 cm)(10 cm) = 120 cm²
Then the total surface area is ...
triangle area + rectangle area = (12 cm²) +(120 cm²) = 132 cm²
6. Five more than eight times a number is greater than four less than
seven times the number. Write an inequality to represent this relationship.
Then solve the inequality. *
8x+5 > 7x -4
X+5> -4
X> -9
Answer:
8x + 5 > 7x - 4
x > -9
Step-by-step explanation:
Five more than eight times a number
8x + 5
is greater than
>
four less than seven times the number
7x - 4
All together:
8x + 5 > 7x - 4
-------------------------------
Solve:
Subtract 7x from both sides
x + 5 > -4
Subtract 5 from both sides
x > -9
how many times can henry expect to roll a 4 if he rolls a dice 120 times
Answer: Varies
Step-by-step explanation:
There's a 1 / 6 chance each time.
solve pls brainliest
Answer:
4/4, 12/3, -37
Step-by-step explanation:
an integer is a whole number thats not a fraction, but can be negative
What percent of the bottle of apple juice is water?
percent of water is: 32/80*100= 40%
Dwight sits near a bowl of candies in his office. He observed how many candies each person took in a sample of
4 visits. Here is how many candies each person took:
1,2,1,4
Answer:
better question Please
GEOMETRY Find the the area of the polygon with the given vertices.
C(1,1) D(1,4)E(4,4)F(4,1)
pls give answer
worth 100
Answer:
sdd
Step-by-step explanation:
seds
Data gathered on the shopping patterns during the months of April and May of high school students from Peanut Village revealed the following. 38% of students purchased a new pair of shorts (call this event H), 15% of students purchased a new pair of sunglasses (call this event G) and 6% of students purchased both a pair of short and a pair of sunglasses.
Where's your question?
What was a social effect of Queen Hatshepsut’s economic policies?
Egypt experienced a decrease in status among other countries.
Religious reform became possible as peasants gained wealth.
The kingdom was peaceful and prosperous.
Workers became unhappy with the pharaoh.
Answer:
the answer is the kingdom was peaceful and prosperous
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Find the length of DF
Check the picture below.
Answer:
the other person was correct
y = 0.75x - 0.5 LINEAR EQUATION
please don't send a link, I will report.
Answer:
Step-by-step explanation:
Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.
Please make sure the explain each step
Answer:
The axis of symmetry for f(x) is at x = 4 because it splits the function in half. I found it by looking at the vertex of the parabola and using the x-value as the axis of symmetry.
The axis of symmetry for h(x) is at x = -2 because it splits the function in half. I found it by looking at the vertex of the parabola and using the x-value as the axis of symmetry.
please make me Brainliest! : )
48% of $650
19.6% of $170.65
Answer:
the answers are easy here is the answer if you don't know.
1. 312
2. 33.45
Can someone PLEASE HELP IM ACTUALLY CRYING PLEASE HELP
Hello Darling these are the answers~
4) Communicative Property of Equality (J)
5) Subtraction Property of Equality (H)
6) Associative Property of Multiplication (L)
I hope this is right, good luck on your assignment ^^
9514 1404 393
Answer:
4. H
5. I
6. L
Step-by-step explanation:
4.The constant 2 has disappeared on the bottom line. That happens when 2 is subtracted from it. -2 has been subtracted from both sides of the equation using the subtraction property of equality. (H)
__
5.The left-side constant -1 has disappeared on the bottom line. That happens when 1 is added to it. 1 has been added to both sides of the equation using the addition property of equality. (I)
__
6.Parentheses have moved from enclosing the last two factors on the left side to enclosing the first two factors. The associative property of multiplication allows parentheses to be moved wherever you like among the factors of a product. (L)
[(1 1/4 - 3/4) × (-2/3) exponent 3] ÷4
plz help lol
Step-by-step explanation:
(5/4_3/4)×(_2/27)÷_4
5_3/4
1/4×_2/27÷_4
1/54÷4
=0.004629
The perimeter of a rectangle is 78 units. The length is 5 units more than the width. Find the length.
Answer:
W = 8.5 units; L = 30.5 units
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2L and 2W, where L and W represent the length and the width respectively. Here, L = 3W + 5. Adapting the formula P = 2L and 2W, we get: 78 = 2L + 2W = 2(3W + 5) + 2W, or 6W + 10 + 2W = 78, or 8W = 68, or W = 68/8 = 8.5 units If W = 8.5 units, then L = 3(8.5 units) + 5 units = 30.5 units
the image of the point (6, 4) under a translation is (4, 7). Find the coordinates of the image of the point (-2, 2) under the same translation.
Answer: (-4, 5)
Step-by-step explanation:
Under the same rule of translation, we can determine the coordinates of the image of the point (-2, 2):
(x, y) → (x - 2, y + 3)
(-2, 3) → (-2 - 2 , 2 + 3) → (-4, 5)
Answer:
20
Step-by-step explanation:
because it needed in the right panel not left to the 52 panel
