keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \impliedby y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{5}}x+7 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{1}{5}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{5}{1}}\qquad \stackrel{negative~reciprocal}{-\cfrac{5}{1}\implies -5}}[/tex]
so then line K has a slope of -5 and pass through (-1, -3)
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad \qquad slope=m=-5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-5}[x-\stackrel{x_1}{(-1)}] \\\\\\ y+3=-5(x+1)\implies y+3=-5x-5\implies y=-5x-8[/tex]
Question is in image
In the diagram below, ST is parallel to PR
Answer:
D.
Step-by-step explanation:
There is nothing in the figure to indicate the triangles are isosceles. This eliminates answer choices A, B, C.
Answer choice D is a required step in the proof, but only gets part of the way. The triangle similarity means ...
SQ/PQ = TQ/RQ
From here, you need to decompose each of the sides PQ and RQ into parts. Then you can get to the desired relationship.
(PQ -PS)/PQ = (RQ -RT)/RQ . . . segment sum theorem
1 - PS/PQ = 1 -RT/RQ . . . . . . . do the division
-PS/PQ = -RT/RQ . . . . . . . . subtract 1 (subtraction property of equality)
PS/PQ = RT/RQ . . . . . . . . multiply by -1 (multiplication property of equality)
Three more than the product of 24 and Matt's height
Answer:
24m + 3 or (24 × m) + 3
Step-by-step explanation:
product = multiplying
matts height = variable
more than = addition
add together and that's your algebraic expression hope this helps :)
Henlo, wutt comes next?
a=6a+6-1
a=6a+5
=?
Step-by-step explanation:
[tex] - 6a + a = 5 \\ a + a = \frac{ - 5}{6} \\ 2a = \frac{ - 5}{6} \\ a = \frac{ - 5}{6} \div 2 \\ a = - \frac{5}{12} [/tex]
5. Find the value of x.
17x – 18
7x
if 17x-18=7x
then 17x-7x=18
10x=18
x=1.8
what is 4/3 x 19/6-45 x 7
Answer:
-310.777777778
Step-by-step explanation:
Answer:
The answer is -310.777777778
Step-by-step explanation:
hope its help:)
$12,500 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest earned from the amount invested at 5% by $486.00, how much is invested at each rate?
Answer:
$1,538.00
Step-by-step explanation:
For art class, you need to make a scale drawing of the Parthenon using the scale 1 in. = 5 ft. The Parthenon is 228 ft long.
How long should you make the building in your scale drawing?
The building should be (________) inches long. Round to the nearest tenth if necessary.
Answer:
228/5= 45.6 inches, rounded is 46 inches
Solve. 4 + x 7 = 2
pls helpppp
Answer: x=14
Step-by-step explanation:
4+x/7=2
-4 -4
X/7=-2
*7 *7
X=14
Answer:
-14
Step-by-step explanation:
write a two column proof. given: ab is congruent to ed, ca is congruent to ce; ac bisects bd. Prove abc is congruent edc.
Given that, AB ≅ ED, CA ≅ CE, and AC bisects BD, the two-column proof that shows ΔABC ≅ ΔEDC by SSS Congruence Theorem is shown in the image attached below.
What is the SSS Congruence Theorem?The side-side congruence theorem (SSS) states that if two triangles has three pairs of sides that are congruent to each other, then both triangles are congruent.
We are given the following information:
AB ≅ EDCA ≅ CEAC bisects BDSince AC bisects BD, therefore the third pair of sides of ΔABC and ΔEDC, BC and CD, will be congruent.
Therefore, it implies that both triangles has three pairs of congruent sides (AB ≅ ED, CA ≅ CE, and BC ≅ CD), which meets the criterion of the SSS Congruence Theorem.
Therefore, ΔABC ≅ ΔEDC by SSS Congruence Theorem.
The two-column proof that shows ΔABC ≅ ΔEDC by SSS Congruence Theorem is shown in the image attached below.Learn more about the SSS Congruence Theorem on:
https://brainly.com/question/19262620
The two legs of right triangle measures 6 and 8 inches respectively. What is the area of the circle that contains all 3 verticals of the triangle
Answer:
See image.
Step-by-step explanation:
Remember if you have a right angle inside of a circle, the hypotenuse is going to land exactly on the diameter. Also, Area of a circle = (pi)r^2 Lastly, remember pythagorean triples such as 3,4,5 or at least, the Pythagorean theorem a^2 + b^2 = c^2
Pre college need helpp
Answer:
check online for more information
what is 1/4 of 5/6???
you search the LCD then you subtracted the top and left the bottom the same
Step-by-step explanation:
im not sure
Find the equation of the line passing through point (-1, -2) and having
slope 1/5. Show work.
Answer:
Y=1/5x+ -2
Step-by-step explanation:
Hope this helps
Answers plz fast ????? :D
Ans
Step-by-step explanation:
Ernie’s bakery sells pastries for $.75 each. A customer purchased 112 pastries, and Ernie gave him an 8.375% discount. How much did that customer pay for the pastries he purchased?
Answer:
$7.6965 or $7.70
Step-by-step explanation:
We multiply the price by the amout he bought.
0.75 x 112 = 84 or $8.40
This is how much he would have paid without a discount. To find the discount we multiply the initial amount by the discount percent in decimal form.
8.4 x 0.08375 = 0.7035
This is the amount thay will be subtracted from the initial price.
8.4 - 0.7035 = 7.6965 or $7.70
en.
If the graph is reflected over the x-axis, what is the
domain of the function?
all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to -2
O all real numbers less than or equal to -2
Answer:
Step-by-step explanation:
Domain means all the x's on the graph. The x's that you can literally see on the graph and for what you can't see it's all the x's you can put into the equation...for this graph, when you reflect it across the x-axis it is still the same shape, just a peak instead of a V. So the y's (range) are VERY different on the graph and its reflection. But the x's (that's the domain!) Are all still there, still on the graph, still allowed in the equation. See image
The domain of the function are all real numbers greater than or equal to 0.
What is domain and range of a function?Domain is the set of values for which the given function is defined.
Range is the set of all values which the given function can output.
If the graph is reflected over the x-axis, then we need to find domain of the function.
Domain means all the x values on the graph. The x values that you can literally see on the graph and for what you can't see it's all the x values you can put into the equation...for this graph.
when you reflect it across the x-axis it is still the same shape, just a peak instead of a V.
So the y values (range) are VERY different on the graph and its reflection.
Therefore, The domain of the function are all real numbers greater than or equal to 0.
Learn more about appropriate domain here:
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A sample of 400 large companies showed that 130 of them offer free health fitness centers to their employees on the company premises. If one company is selected at random from this sample, what is the probability that this company offers a free health fitness center to its employees on the company premises? What is the probability that this company does not offer a free health fitness center to its employees on the company premises? Do these two probabilities add up to 1.0? If yes, why?
A researcher is interested in testing the perceived effort (PE) of runners under three different terrains. PE is measured on a scale that ranges from 0 to 15, where higher scores indicate greater effort. The three terrains were a running track (i.e. the control), a mostly flat sidewalk, and a hilly neighborhood. Participants were randomly assigned to only one type of terrain. What type of analysis should the researcher conduct
The formula p=F/A can be used to relate pressure force and area. Solve the formula for A.
[tex]P=\dfrac{F}{A}\\\\\implies PA = F\\\\\implies A = \dfrac{F}{P}[/tex]
A 15 kg ball is thrown into the air. It is going at 4m/s when thrown. How much potential energy will it have at the top?
Answer:
A ball is thrown vertically upward with a speed of 25.0 m/s
Help help help math math math
Answer:
x=12
Step-by-step explanation:
[tex](4x + 15) + (x + 5) = 180 \\ 5x + 20 = 180 \\ 5x = 60 \\ x = 12[/tex]
Answer:
12
Step-by-step explanation:
When Damian runs the 400 meter dash, his finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 1 second. Using the empirical
rule, determine the interval of times that represents the middle 99.7% of his finishing
times in the 400 meter race.
The middle 99.7% is within 60 seconds to 63 seconds.
The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.
Given that:
mean (μ) = 60 seconds, standard deviation (σ) = 1 second
99.7% are within three standard deviations = μ ± 3σ = 60 ± 3(1) = (57, 63)
The middle 99.7% is within 60 seconds to 63 seconds.
Find out more at: https://brainly.com/question/4518679
7+x÷y is a ______( type of polynomial)
Evaluate the following expression [(15+1)/2-4]*6
Answer:
24
Step-by-step explanation:
By BODMAS rule,
[ ( 15 + 1 ) / 2 - 4 ] * 6
= [ 16 / 2 - 4 ] * 6
= [ 8 - 4 ] * 6
= 4 * 6
= 24
Based on the information given, the value of the equation will be -48.
From the information given, the expression is given as:
= (15+1)/2-4]*6
We'll solve the bracket first.
= (15+1)/2-4]*6
= (16 / 2 - 4) × 6
= (16/-2) × 6
= -8 × 6
= -48
In conclusion, the value of the equation will be -48.
Learn more about equations on:
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Evaluate the expression for the given values.
12x+5y/3z, where x + 1/2, y = 6 and z = 3
Answer:
4
Step-by-step explanation:
Substitute: [tex]\frac{\frac{12}{2} +5*6}{3*3}[/tex]
Cross out the common factor: [tex]\frac{6+5*6}{3*3}[/tex]
Calculate the product or quotient: [tex]\frac{6 +30}{3*3}[/tex]
Calculate the product or quotient: [tex]\frac{6+30}{9}[/tex]
Calculate the sum or difference: [tex]\frac{36}{9}[/tex]
Cross out the common factor: [tex]4[/tex]
Answer: [tex]4[/tex]
A county has constructed a conical building to store sand. The cone has a height of 101 m and a diameter of 330 m. Find the volume of this building to the nearest hundredth. Use 3.14 for π.
Answer:
2878045.500 cubed metres
Step-by-step explanation:
volume = 1/3* pie* r*r*h
= 1/3 *3.14*165*165*101
=2878045.5 cubed metres
i hope it's helpful
How to solve 12 2/3 23
Answer: I dont understand the question
Step-by-step explanation:
Need help a lot stuck
Answer:
yes, sounds linear.
this is an mx + b scenario.
here's the model:
y = )3/1)x + 50
or
y = 3x + 50
where the 1 in the slope denominator is a square foot.
if you help me with this i’ll mark you brainlest if you are the first to answer.
Answer:
m∠1 = 97
m∠2 = 83
m∠3 = 97
m∠4 = 83
Answer:
m∠1 = 97°
m∠2 = 83°
m∠3 = 97°
m∠4 = 83°
Step-by-step explanation:
180 - 97 = 83°
180 - 83 = 97°
The map shows the location of four places in a city:
Coordinate grid shown from negative 6 to positive 6 on the x-axis and negative 6 to positive 6 on the y-axis. A point labeled School is shown on ordered pair 2, 4. A point labeled Library is shown on ordered pair negative 3, 5. A point labeled City Park is shown on ordered pair negative 3, negative 4. A point labeled Museum is shown on ordered pair 2, negative 5.
Anna's house is in the same quadrant as the museum. Which of the following could be the coordinates of Anna's house?
(1, 4)
(−1, 4)
(1, −4)
(−1, −4)
Using quadrant concepts, it is found that the coordinates of Anna's house could be at (1,-4).
The signal rules for the quadrants of a point (x,y) are as follows:
First quadrant: x > 0, y > 0.Second quadrant: x < 0, y > 0.Third quadrant: x < 0, y < 0.Fourth quadrant: x > 0, y < 0.In this problem, the museum is in the fourth quadrant, which is the same as Anna's house, hence, since it is needed x positive and y negative, the coordinates of Anna's house could be at (1,-4).
You can learn more about quadrants at https://brainly.com/question/25900520