The slope of the point (12,-2) and (4,-6) is; 1/2
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation;
y-y₁ = m(x-x₁)
we have been given two points (12,-2) and (4,-6).
Then the slope is;
m = (-6 - (-2))/ (4 - 12)
m = -4 / -8
m = 1/2
The equation of line is y + 2 = 1/2(x - 12)
Hence, the slope of the point (12,-2) and (4,-6) is 1/2.
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A rental company rents a luxury car at a daily rate of $37.51 plus $.25 per mile. Paul is allotted $120 for car rental each day. Write an equation to represent the cost C of renting a car and driving x miles. How many miles can Paul travel on the $120?
Answer: 385 miles
Step-by-step explanation:
$120 - $43.01 = $76.99
$76.99 = 7699 cents
7699/20 = 384.95 miles
So, the business man can travel
385 miles on the $120.
Hope this helps.
:-)
For what x-values is the function positive? Select all that apply.
A-5
B. 0
C. 3
D. 3.5
Answer: A and D
Step-by-step explanation:
The function is positive when the graph is above the x-axis.
in the image we can see that the graph is above in between the points:
x = - 5 and x = 0, then goes bellow, and then comes up again at x = 3.5 and the graph ends at x = 4.
Then the regions where the function is positive are:
-5 < x < 0 and 3.5 < x < 4
Then the correct options are:
A and D
AB = 2x + 30, AD = x + 32, CD = 8, and BC = 5. Find x.
Answer:
Step-by-step explanation:
2x + 30 = x + 32
x + 30 = 32
x = 2
What is 12 -(-3) = and how do you get that answer?
Answer:
15
Step-by-step explanation:
Step 1:
12 + 3
Answer:
15
Two negative signs cancel out and turns it into addition.
Hope This Helps :)
A cube has volume of 7^3 cubic centimeters. What is its surface area
Answer:
294
Step-by-step explanation:
The volume of a cube is calculated by multiplying one
of its equal edge with itself three times which is shown as a^3
If the volume of the given cube is = 7^3 then the edge length is = 7
To find the surface area we we multiply the square of the edge by 6
6 × 7^2 = 294
How do you simplify it? I know the answer is 6_/6p but I don’t really know *how* to get there.
Answer:
The answer is
[tex]6 \sqrt{6p} [/tex]Step-by-step explanation:
[tex] \sqrt{216p} [/tex]First of all factor out the perfect square
From the question the perfect square is 36
We have
[tex] \sqrt{36 \times 6p} [/tex]The root of a product is equal to the product of the roots of each factor
That's
[tex] \sqrt{36 \times 6p} = \sqrt{36} \times \sqrt{6p} [/tex]Simplify
[tex] \sqrt{36} = 6[/tex]So we have
[tex]6 \times \sqrt{6p} [/tex]We have the final answer as
[tex]6 \sqrt{6p} [/tex]Hope this helps you
what is 21000 take away two thirds
Emma already has read 6 of 20 books on her summer reading list. What percent of the books on her list has she read already.
Answer: 30%
Step-by-step explanation:
perfect squares from 100 to 200
Answer:
121, 144, 169, 196 are the perfect squares from 100 to 200
is 5.676677666777 a rational number? ( please just a yes or no and please explain is easy terms, i'm stupid. )
Yes.
Step-by-step explanation:
Im pretty sure about this but there's the possibility that I'm wrong.
A number that can be changed into a fraction is a rational number.
So any decimal that terminates (Ends) or repeats (has the same numbers forever.) are in fact rational numbers.
salma sang 4 songs each song was 5/8 minutes long for how much time did she sing in total?
Answer:
2 1/2 minutes
Step-by-step explanation:
5/8 + 5/8 + 5/8 + 5/8
20/8
2 and 4/8 minutes
Find the width and height of a 54 inch TV with the aspect ratio of 4:3. Then , find the area of the screen. You must draw and label a picture to help show ur work.
Answer:
The area of the screen is 1399.68 in²
Step-by-step explanation:
The given parameters are;
The size of the TV = 54 inch
The aspect ratio of the TV screen = 4:3
The size of the TV is given as the length, of the diagonal, therefore, we have;
The aspect ratio = Length, L:Width, W = 4/3 = L/W
L² + W² = 54²..................(1)
L/W = 4/3.........................(2)
Therefore, 3×L = 4×W
L = 4×W/3
Substituting the value of L in equation (1), we have;
(4×W/3)² + W² = 54²
16/9×W² + W² = 54²
25/9×W² = 54²
W² = 54²×9/25 = 1049.76
W = 32.4 inches
The length, L = 4×W/3 = 4×32.4/3 = 216/5 inches = 43.2 inches
The area of the screen = 43.2 inches × 32.4 inches = 1399.68 in²
The area of the screen = 1399.68 in².
a temperature recorded in Antarctica was -122 F. The temperature recorded in the desert was 133 F. how many degrees warmer is 133 F than 122 F
Answer:
255 F
Step-by-step explanation:
133 + 122 = 225.
So that is the answer.
133°F is 255 degrees warmer than -122°F.
To find out how many degrees warmer 133°F is than -122°F, we can subtract the two temperatures:
Temperature difference = 133°F - (-122°F)
Remember that subtracting a negative number is the same as adding its positive value, so the calculation becomes:
Temperature difference = 133°F + 122°F
Temperature difference = 255°F
So, 133°F is 255 degrees warmer than -122°F.
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A salesman packs dog biscuits in boxes containing 16, 17, 23, or 24 pounds each. He will not sell them in any other sizes or split a box. A customer wants exactly 100 pounds ofthe biscuits, no more or no less. Can the salesman fill the order? If not, how close can he come to making up the 100 pounds? He has as many of each size box as he might need.
Answer:
the closest the sales man can fit in a box is 96lbs without going over. so therefore, no, he cannot fulfill the order.
In the figure below, B lies between A and C. Find the location of B so that AB is 1/8 of AC.
Answer:
-3
Step-by-step explanation:
first do -22-2= -24
then do 1/8 of -24= -3
You collect a total of $75 in donations from three people. The three donations are in the ratio 4 to 4 to 7. How much is each of the smaller donations? And how much greater is the largest donation then one of the smaller donations?
4. The midpoint of XY is (3, -5). The coordinates of point X are (1,5).
What are the coordinates of point Y?
Answer:
(5,-15)
Step-by-step explanation:
X to the midpoint, the x coordinate goes up 2 and the y coordinate goes down 10. So from the midpoint to Y, the x coordinate must go up 2 (making it 5) and the y coordinate goes down 10 (making it -15)
triangle A’ B’C’ is a dilation of ABC... What is AB?
Answer:
Option C.
Step-by-step explanation:
From the picture attached,
ΔA'B'C' is a dilation of ΔABC which means image ΔA'B'C' is similar to ΔABC.
By the property of similarity corresponding sides of both the triangles will be proportional.
[tex]\frac{\text{AB}}{\text{A'B'}}=\frac{\text{BC}}{\text{B'C'}}=\frac{\text{AC}}{\text{A'C'}}[/tex]
[tex]\frac{AB}{6}=\frac{15}{10}[/tex]
AB = [tex]\frac{6\times 15}{10}[/tex]
AB = [tex]\frac{90}{10}[/tex]
AB = 9 units
Therefore, length of side AB = 9 units.
Option C. will be the answer.
A saleswoman earns 5% commission on all the merchandise that she sells. Last month she sold $7000 worth of merchandise. How much commission (in dollars) did she earn last month?
Answer:
5% = 0.05
$7000 × 0.05 = $350
She earned $350
what is x? 15(x-1)-7(x+9)=4x
Given the following functions, find each of the values:
f(x) = x2 + x - 30
g(x) =x- 5
(f + g)(-5)
(f - g)(3) =
(f.g)(-3) =
(f/g) (1) =
Step-by-step explanation:
(F+g) (-5)
={2x+x-30 +(x-5)}(-5)
={4x-35}(-5)
= -20x +175
X=175/20
X=35/4
X=8.75
...........
(f - g)(3)
={x2 + x - 30 - (x- 5)} (3)
= {2x - 25} (3)
=6x-75
X=75/6
X=12.5
..................
(f.g)(-3)
= {(x2 + x - 30). (x- 5)} (-3)
={(3x-30)(x-5)}(-3)
An object is moving at a speed of 3 kilometers every 5 days. Express this speed in yards per hour. Round your answer to the nearest tenth
Answer: 27.3 yards per hour
Step-by-step explanation:
First convert 3 kilometers to yards
3 km to yards is 3280.84
now we have to convert 5 days to hours. If there are 24 hours per day then we will multiply 24 by 5 to determine hours are in 5 days
5 * 24 = 120 hours
Now divide divide 3280.84 by 120 to find the speed in yards per hour
3280.84 / 120 = 27.34 yards per hour
27.34 rounded to the nearest tenth is 27.3
The object is moving at a speed of 2734.025 yards per hour.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
We know 1 kilometer is 109361 yards and one day is equal to 24 hours.
Given, An object is moving at a speed of 3 kilometers every 5 days.
∴ The object is moving at a speed of (3×109361) = 328083 yards in
(5×24) = 120 hours.
Hence in 1 hour, the object moves (328083/120) yards = 2734.025 yards.
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Solve for x
x to the power of 2 = 0.49
Answer:
Stop asking others for the answer little girl, and do the work yourself
Answer:
0.7
Step-by-step explanation:
the square root of 49 is 7 so if it's in the form 0.49 the square root of that would be 0.7
Tyler simplified the expression x Superscript negative 3 Baseline y Superscript negative 9. His procedure is shown below. x Superscript negative 3 Baseline y Superscript negative 9 = StartFraction 1 Over x cubed EndFraction times StartFraction 1 Over y Superscript negative 9 EndFraction = StartFraction 1 Over x cubed y Superscript negative 9 EndFraction What is Tyler’s error? Both powers should be in the numerator with positive exponents. Both powers should be in the denominator with positive exponents. The power x cubed should be in the numerator and the power y Superscript 9 in the denominator. The power y Superscript 9 should be in the numerator and the power x cubed in the denomin
Answer:
i am pretty sure it is a) Both powers should be in the numerator with positive exponents.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
please answer the everything thank you ! i'll mark the brainlest!!!!! :)
Answer:
1. a. 2 KM ; b. 9000 m
2. a. 9 L ; b. 3000 g
3. a. 6000 ml ; b. 9
4. a. 60 mm ; b. 4000 m
5. a. 1 km ; b. 2 kg
6. a. 5 ; b. 4 m
7. a. 4000 ml ; b. 3000
8. a. 10 kg ; b. 20 mm
9. a. 10 km ; b. 9kg
10. a. 4 kg ; 8 l
18= 5r +-3 (p+9)
How do I solve this
Remove the parentheses, Move the terms, Calculate, Divide both sides, write in parametric form.
Answer should be r = 3/5p + 9, pER
The table shows the number of cups of water required
when cooking different amounts of rice.
Which statements apply to the ratio of rice and
water? Choose two options.
Amount of Amount of
Rice Water
(cups) (cups)
2.
5
3
7.5
5
12.5
8
20
The amount of rice is the dependent value
The amount of water is the dependent value.
The amount of rice is the independent value.
The amount of water is the independent value.
The values cannot be labeled as dependent or
independent without a given equation.
Answer:
The amount of water is the dependent value.The amount of rice is the independent value.Step-by-step explanation:
The way the statement is worded, and considering that Rice is the first column of the table, we conclude that Rice is the independent quantity. Then water is the dependent quantity: its amount depends on the amount of rice.
Answer:
B. The amount of water is the dependent value.
C. The amount of rice is the independent value.
Step-by-step explanation:
a kit contains 600 letter tiles and 40 number tiles each tile has the same mass and the kit has a total mass of 2400 grams. what equation would represent this
Answer:
900
Step-by-step explanation:
x2 = 16, therefore x = 4. Is this a valid conclusion? If not, give a counterexample. A) YES B) NO; x = 8 C) NO; x = -4 D) NO; x = -8
Answer:
C) No; x = -4
Step-by-step explanation:
i took the quiz
Answer:
the answer is C. No; x= -4
Step-by-step explanation:
i took this answer on the USA test prep...
and make 100%. give me some brainlest plz
2. Ingrid Sering sells two types of garden fountains on a straight commission basis. On one fountain that sells for $869, she gets a commission of $174. On the other fountain that sells for $1.260, she gets $252.During a 3-month selling season, Ingrid sold 19 of the lower-priced fountains and 23 of the higher-priced fountains. What were her total commissions for three months?
Answer:
$9,102
Step-by-step explanation:
Ingrid Sering sells two types of garden fountains on a straight commission basis. On one fountain that sells for $869, she gets a commission of $174. On the other fountain that sells for $1,260, she gets $252.During a 3-month selling season, Ingrid sold 19 of the lower-priced fountains and 23 of the higher-priced fountains. What were her total commissions for three months
From the question above, we have the following information:
On one fountain that sells for $869 = she gets a commission of $174( the lower-priced fountains)
On the other fountain that sells for $1,260 = she gets $252 ( the higher-priced fountains)
Ingrid sold 19 of the lower-priced fountains)
1 fountain sold = $174 of commission
19 fountains sold =
$174 × 19
= $3,306
She also sold 23 of the higher-priced fountains)
1 higher priced fountains = $252
23 higher priced fountains =
$252 × 23
= $5,796
Hence, the Total commission Ingrid made = Total commission on Lower priced fountains + Total commission on Higher priced fountains
= $3,306 + $5,796
= $9,102
Therefore, the total commission Ingrid made = $9,102