The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5
How to find the Distance of a Line?
We are given the coordinate of point G as G(-3, -1).
We want to find the distance between that coordinate and the line y = 4.
Comparing the line with the equation Ax + By + C = 0 gives;
B = 1 and C = -4
Now, Equation for distance between line and coordinate axes points is;
d = |Ax + By + C|/√(A² + B²)
Thus;
d = |0(-3) + 1(-1) - 4|/√(0² + 1²)
d = |-5|
Since absolute value, then d = 5.
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Maggie claims that there are transformations that preserve the length of the rectangle's sides. Which of the following transformations could be used to support Maggle's claim? Select all that apply.
reflection over the side RS
a translation of 10 units to the right
a rotation of 90' clockwise about vortex Q
a vertical stretch of scale factor 2 through contor C
a dilation of scale factor 1 through conter
Answer: B,D,E. Step-by-Step explanation
Transformation that preserve lengths are rigid transformation.
The options that support Maggie's claim are:
reflection over the side RS a translation of 10 units to the right a rotation of 90' clockwise about vortex QAll transformations are rigid transformation, except dilation.
Dilation are of two types
StretchCompressEither of the two above, do not preserve length
This means that:
Options (d) and (e) will not preserve the lengths of the rectangle, because they represent dilation
Hence, the correct options that will preserve the length of the rectangle are: (a), (b) and (c)
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Siobhan earned $45 babysitting on Friday. On Saturday, she babysat for 5 hours at $4 per hour. On Sunday she bought a DVD for $32. How
much money did she have left after buying the DVD?
$30
Work: 45+20=65
65-35=30
You measure the mass of a book and it’s 420.0890g how many significant digits are in the measurement
9514 1404 393
Answer:
7
Step-by-step explanation:
All of the digits in the given number are significant. There are 7 significant digits.
__
Comment on other cases
When there are non-zero digits to the left of the decimal point in a number with a decimal point, all of the digits are significant.
When there are no non-zero digits to the left of the decimal point, leading zeros are not significant. All digits following the leading zeros are significant.
In a number with no decimal point, the leading and trailing zeros are not significant.
If the number is written in scientific notation, all digits of the mantissa are significant. (This can be a way to ensure the correct number of significant digits is known in a number with trailing zeros.)
What is the relationship between x and 86?
Answer:
C
Step-by-step explanation:
the answer is C because they are on alternate sides and they are on the exterior meaning the outside.Answer:
alternate exterior angles
Step-by-step explanation:
The base of a triangle exceeds the height by 5 yards. If the area is 250 square yards, find the length of the base and the height of the triangle
Answer:
height = 20 yards and base = 25 yards.
Step-by-step explanation:
let the height = x yards.
base = (5 + x) yards.
area = 250 square yards
Area = 1/2 bh
250 = 1/2 × (x)(5+x)
250 × 2 = 5x + x2
500 = x2 + 5x
x2 + 5x - 500 = 0
factorizing:
(x + 25)(x - 20) = 0
x = -25 or 20
but length cannot be negative,
hence x = 20 yards.
height = 20 yards
base = (5 + 20) = 25 yards.
Select three ratios that are equivalent to 11:1.
Choose 3 answers:
1:11
22:2
55:5
9:99
Answer:
22:2, 55:5, 1:11
Step-by-step explanation:
Answer:
22:2 55:5 and no others
Step-by-step explanation:
Un comerciante tiene en cartera una letra de 14000 con vencimiento a 2 años y le somete a un descuento bancario 1 año y 8 meses antes de su vencimiento a una taza de 14%anual con capitalización trimestral ¿cuanto recibira el propetario de la letra ?
Answer:
dud
Step-by-step explanation:
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vbjjkkkkkkjjjjhcblxkcjl
In a triangle, the measure of the first angle is twice the measure of the second angle. The measure of the third is 92° more than the measure of the second angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.
The measure of the first angle is ______
The measure of the second angle is _____
The measure of the third angle is _______
Answer:
The measure of first angle is 44°.
The measure of second angle is 22°.
The measure of third angle is 114°.
Step-by-step explanation:
First, you have to form expressions for the 3 angles. Let second angle be x :
First angle = (2x)°
Second angle = x°
Third angle = (92 + x)°
Next, you have to add up altogether as the total angles in a triangle is 180° :
2x + x + 92 + x = 180
4x + 92 = 180
4x = 180 - 92
4x = 88
x = 88 ÷ 4
x = 22°
Lastly, you have to substitute the x-value into the expressions :
First angle = 2(22) = 44°
Second angle = 22°
Third angle = 92 + 22 = 114°
please help my geometry assginment, brainly if answer properly
Answer:
Please mark me brainliest :) Hope it helps
Step-by-step explanation:
So basically, since CD and AB are parallel, that means that angle2 and angle3 are similar, due to the corresponding angle postulate. Furthermore, it is given that AG and CE are similar, so angle1 and angle2 are similar on the same principle.
This means that angle3 and angle4 are similar, since it is given that angle1 and angle4 are similar. A bisecting line divides a whole angle into two, equal value angles, and since ECF is composed of angle3 and angle4, and angle3 and angle4 are the same value, that means the line that forms angle3 and angle4 is bisecting the ECF, therefore CD bisects ECF.
Find the measure of an angle such that the sum of its supplement and four times its
complement is 13° less than twice the angle.
Show work
Answer:
Angle=79°
Step-by-step explanation:
Hope it helps!
What is the value of x?
2
5
3
4
Write 310,763,029 expanded form
Answer:
300,000,000
10,000,000
700,000
60,000
3,000
20
9
Step-by-step explanation:
1. FRUITS Find the ratio of bananas to oranges in the graphic at the right. Write the
ratio in simplest form. Then explain its meaning.
Ratio:
Simplified Ratio:
Explanation:
so what is the answer?
Answer:
999kkk b8llion
Step-by-step explanation:
iiuugghhgvvjhhffffffffffffffggttgggg
There are 16 boys and 20 girls in a class. What part of the class is boys? What part girls?
Answer:
girls 4/9 or (Decimal: 0.444444) percent is 44.4%
boys 5/9 or (Decimal: 0.555556) percent is 55.5%
How many hundredths are in one tenth how many thousandths are in one hundredth
Answer:
10 hundredths
Step-by-step explanation:
One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.
PLEASEEEEEE HELPPPP!!!!
3)9.375 and 12 is )37.5
choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4
y = 4x - 11
y = 4x + 11
y = 4x + 7
y = 4x - 7
Answer:
y = 4x +11Step-by-step explanation:
[tex](-3,-1) = (x_1, y_1) \\ m = 4[/tex]
Substitute values into point slope form
[tex]y-y_1 = m(x-x_1) \\ y - ( - 1) = 4(x - ( - 3)) \\ y + 1 = 4(x + 3) \\ y + 1 = 4x + 12[/tex]
Collect like terms and simplify
[tex]y = 4x + 12 - 1 \\ y = 4x + 11[/tex]
Answer:
y=4x + 11
Step-by-step explanation:
y = mx + b
y = 4x + b
-1= 4(-3) + b
b= 11
y= 4x + 11
g Regression is a functional relationship between two or more correlated variables, where one or more variables are used to predict a single variable of interest. Group of answer choices True False
Answer:
True
Step-by-step explanation:
In regression analysis, it tries to infer that there is a supposed relationship between two or more variables.
Now it has a couple of functions such as;
It allows us to directly estimate the parameters in linear functions only, although there are some other ways in which it would allow many non - linear functional forms to get estimated indirectly.
Regression also allows us to test and find out if there is a functional relationship between two or more variables. This is done by testing the hypothesis whether each of the slopes have a value of zero.
Thus, from the definitions given, we can see that regression is a basically a functional relationship between two or more variables, where one or more variables are used to predict a single variable of interest.
Thus, the given statement is true.
Sharon buys a 60" tv for $1,450 plus the sales tax rate, which is 8.25%. what is the total cost of what she paid after taxes. round to two decimal place
Answer:
1,569.625
Step-by-step explanation:
Answer:
Step-by-step explanation:
The total cost of the 60" TV is $1,569.63.
Robert accepted a new job at a company with a contract guaranteeing annual raises.
Robert's salary after working for n years can be determined using the equation
S = 5000n + 60000. What is the slope of the equation and what is its
interpretation in the context of the problem?
Answer:
The slope is 5000, this means that for each additional year Robert works at the company, he earns 5000 more dollars.
Step-by-step explanation:
The slope is 5000, this means that for each additional year Robert works at the company, he earns 5000 more dollars.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here, given that,
Robert's salary after working for n years can be determined using the equation
S = 5000n + 60000.
Hence, The slope is 5000,
this means that for each additional year Robert works at the company, he earns 5000 more dollars.
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Noah is finding 3/4 of 8 find his mistake and correct it
you need to show his steps or else i cant find his mistake
Assemble the proof by dragging tiles to the statements and reasons columns
Answer:
Here, I did the assignment. I wish you good luck!
Jackson spent $3,472 on a new TV. If he paid it off in 16 equal payments, how much was each payment?
A $217
B $237
C $207
D $227
Answer:
A. 217
Step-by-step explanation:
3,472/16 = 217
please hurry, i’ll give you 30 points
Answer:
I cant graph them obviously, but a is not a linear function and b is.
What is x = to? If you know it would be really helpful thanks
Answer:
x is 131°.
Step-by-step explanation:
Don't really know how to explain it. but I know that is what the measurement is.
Suppose y = 2x – 2.5. Find x if y = 10.
Help!!! ASAP!!!
The sum of the areas of a polyhedron’s face is
A: Its perimeter divide by two.
B: its surface area.
C: its volume
D: non of these
Answer: The sum of the area of it's faces
Step-by-step explanation: its the surafce area.
the ray XZ is the angle bisector of WXY and m WXY = 125°. Enter m WXZ
Decimal expansion for 8/11
Answer:
0.72
Step-by-step explanation:
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?