Answer:
y + 2 = -3(x - 7)
Step-by-step explanation:
Write the equation using the point slope form [tex]y - y_1 = m(x-x_1)[/tex]. Substitute m = -3 and (7,-2).
[tex]y --2 = -3(x-7)\\y + 2 = -3(x-7)\\y +2 = -3x +21\\y = -3x +19[/tex]
Toms Toy car went 2 meters without stopping Roberts went 145 centimeters whose car went farther
Answer:
Tom's car went further
Step-by-step explanation:
Since there are 100 centimeters in 1 meter - Roberts car went nearly 1 and a half meters or Tom's car went 200 centimeters.
toms car went farther
Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food
Answer:
x = 32/7, or 4 4/7 meals
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
7/8 lb 4 meals
------------ -------------
1 lb x
x will be the number of meals necessary for the dog to eat 1 lb of food.
Cross-multiplying, (7/8)x = 4.
Multiplying both sides by 8/7 is an easy way to isolate x:
(8/7)(7/8)x = (8/7)(4)
or
x = 32/7, or 4 4/7 meals
I need a step by step explanation how to solve for the solutions of this (Not by graphing)
y=({x}^2)-8x+15 and y=3x+15 (Once again plz solve using a method other than graphing and add an explanation)
Answer:
(0, 15) and (11, 48)
Step-by-step explanation:
Given the 2 equations
y = x² - 8x + 15 → (1)
y = 3x + 15 → (2)
Substitute y = x² - 8x + 15 into (2)
x² - 8x + 15 = 3x + 15 ( subtract 3x + 15 from both sides )
x² - 11x = 0 ← in standard form
x(x - 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x - 11 = 0 ⇒ x = 11
Substitute these values into (2) for corresponding values of y
x = 0 : y = 0 + 15 = 15 ⇒ (0, 15)
x = 11 : y = 33 + 15 = 48 ⇒ (11, 48)
Solutions are (0, 15), (11, 48)
Kyra was building a bed for her dollhouse. She used her bed, which is 4 feet × 5 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5. What are the dimensions of the model bed she built?
0.08 foot × 0.10 foot
0.40 foot × 0.50 foot
0.80 foot × 1.00 foot
0.04 foot × 0.05 foot
Answer: third option
Step-by-step explanation:
You have the following information given in the problem:
- The dimensions of Kyra's bed is:
[tex]4feet*5feet[/tex]
- The scale factor she used was: [tex]\frac{1}{5}[/tex]
Therefore, keeping the above on mind, you can find the the dimensions of the model bed she built by multipliying the dimensions of her bed by the scale factor:
[tex]\frac{1}{5}*4ft=0.80ft\\\\\frac{1}{5}*5ft=1.00ft[/tex]
Then, the answer is:
[tex]0.80ft*1.00ft[/tex]
Plz help accidentally checked it in
Answer:
100
Step-by-step explanation:
sqrt[y] = 10
Apply both side a ^2
then
y = 100
Best regards
Answer: b. 100
Step-by-step explanation:
[tex]\sqrt y-7=3\\\\\sqrt y=10\qquad added\ 7\ to\ both\ sides\\\\(\sqrt y)^2=(10)^2\\\\y=100\\\\\\Check:\\\sqrt{100}-7=3\\\\10-7=3\ \checkmark[/tex]
Is it preferable to pay for these items with tax dollars or be charged ad each is used? What do you think?
Answer:
In my opinion I would say Tax Dollars
Hope This Helps! Have A Nice Day!!
Whether public goods should be paid for through taxes or individual fees depends on various factors, including the nature of the good and one's income level. For many public goods and services, a combination of tax funding and user fees is used. The decision between the two is a matter of public policy and individual preference.
Explanation:The decision on whether to pay for public goods through taxes or individual fees depends on various factors. In essence, this relates to the discussion on public provision versus personal pay-per-use. Some public goods, like parks, are free to use, but the government charges for certain services, such as parking or reserving picnic areas. This is a mixture of public provision at no charge along with fees for some purposes.
On the other hand, taxes are paid by most working people and by consumers when they buy goods and services. These taxes fund public services like roads, bridges, schools, and public safety functions. Thus, some may prefer public goods to be funded through taxes so everyone contributes to these community-supporting services.
Nonetheless, there are also 'toll goods', like cable TV and private schools, that are open to everyone but require users to pay a fee. The choice between taxes versus individual fees can also depend on one's income level, as those with more discretionary income might prefer pay-per-use to avoid potential higher taxes.
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What is the ratio of x to y=?
2/3=(x)/(3x+y)
Answer:
x : y = 2 : - 3
Step-by-step explanation:
given
[tex]\frac{2}{3}[/tex] = [tex]\frac{x}{3x+y}[/tex] ( cross- multiply )
3x = 2(3x + y) ← distribute
3x = 6x + 2y ( subtract 6x from both sides )
- 3x = 2y ( divide both sides by y )
- 3[tex]\frac{x}{y}[/tex] = 2 ( divide both sides by - 3 )
[tex]\frac{x}{y}[/tex] = [tex]\frac{2}{-3}[/tex]
524.95 to the nearest ten
525
Because the nearest tenth is the number after the decimal point but then nine rounds up. If you don’t want the nine rounded up leave it as 524.9
In given number 524.95, place value of 9 is tenth. So, the nearest ten is 525.0
What is place value?The place value is the position of each digit in a number.
The nearest tenth is the number after the decimal point but then nine rounds up. If you don’t want the nine rounded up leave it as 524.9
524.9 = 525.0
Therefore, the answer is 525.0
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(x ________ )(x ________) = x^2−4x−32
what numbers/variables can fill in the blanks?
SOMEBODY PLZZZ HELPPPPPPP!!!!!
➷ You have to find two values that will multiply to give -32 and add to give -4
Through trial and error, you will find that the two values are -8 and +4
Place these in:
(x + 4)(x - 8)
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
six angles of a heptagon measure 107, 139, 131, 110, 145. and 128. what is the measure of the seventh angle
the measure is 140, I basically summed all of the angles of a polygon of “n”, which is 7, then I did 7-2 times 180 (900) so I can finally add up all of your measurements
The seventh angle of the given Heptagon is 140 degrees.
What is Heptagon?A heptagon is a polygon that has seven sides. It is a closed figure having 7 vertices. A heptagon is also sometimes called Septagon.
Given, six angles of a heptagon measure 107, 139, 131, 110, 145. and 128.
Since, Sum of all angles of Heptagon is 900°
Let "x" be the seventh angle of Heptagon
thus,
107 + 139 + 131 + 110 + 145 + 128 + x = 900
760 + x = 900
x = 140
Therefore, The seventh angle of the given Heptagon is 140 degrees.
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The value of y varies directly with x.when y =150,x=1/3.what is the value of y when x is 16/6.
maybe 1200 because you multiply by 8 or 16/2
State the reference angle for -75
Check the picture below.
so, the reference angle, will be the angle made by it with the x-axis, namely 75°.
Complete the table by squaring each positive x-value listed 2, 3,4,5,6,7,8,9,10,11
2²=4 2×2
3²=9 3×3
4²=16 4×4
5²=25 5×5
6²=36 6×6
7²=49 7×7
8²=64 8×8
9²=81 9×9
10²=100 10×10
11²=121 11×11
Answer:
2²=4 2×2
3²=9 3×3
4²=16 4×4
5²=25 5×5
6²=36 6×6
7²=49 7×7
8²=64 8×8
9²=81 9×9
10²=100 10×10
11²=121 11×11
4/3x -3 ≤ -11
Please show how you got your answer!!
Answer:
-11+3=-8
-8=4/3x
-8/(4/3)=x
x=6
Two points are 10 units apart on the coordinate plane. If
an ant were to walk between the 2 points moving only
vertically and horizontally, it would have to walk 6 horizontal
units. How many vertical units would the ant have to walk?
Answer:
The vertical distance the ant have to walk is 8 units
Step-by-step explanation:
∵ The ant must be walk vertically and horizontally
∴ The distance from start point to end point will be as
a hypotenuse of a right angle triangle
∵ The ant would have to walk 6 units horizontally that
means one side of the right angle is 6 units
∵ The two points are apart by 10 units that means
the length of the hypotenuse is 10 units
∴ The vertical distance the ant would have to walk is
the length of the second side of the right angle
* By using Pythagoras Theorem:
∵ (hypotenuse)² = (horizontal leg)² + (vertical leg)²
∴ 10² = 6² + (vertical leg)²
∵ (vertical leg)² = 100 - 36 = 64
∴ Vertical leg = √64 = 8 units
∴ The vertical distance the ant have to walk is 8 units
Jose is planning to spread fertilizer on his rectangular yard. His yard has the lenth of 40 ft and width of 25 ft. How much fertilizer does he need
Answer:
1000 square feet
Step-by-step explanation:
We are given that Jose is planning to spread fertilizer on his rectangular yard which has a length of 40 ft and width of 25 ft.
We need to find out the amount of fertilizer he needs.
We know that the formula of area of rectangle is given by: [tex]l \times w[/tex]
So substituting in the given values to get:
[tex]40 \times 25 = 1000[/tex] square feet
Answer:
1000 sqare feet
Step-by-step explanation:
LxW=A
40x25=1000
Please help I need help with this ASAP please
please i really need help
Answer:
D
Step-by-step explanation:
Two events are independent if the intersection of the two events is the same as multiplying each events probability.
P (Texas) = 125/ 275 = 0.45
P (Brand A) = 176/275 = 0.64
0.45 * 0.64 = 0.29
P (Texas ∩ Brand A) = 0.29
So to find P (Texas | Brand A) = 0.29 / 0.64 = 0.45
Answer choice D makes the best choice.
if you subtract 8 from 7 times a certain number, you end up with 34. what is the number?
If we call the unknown number x, we have:
7 times a certain number is [tex]7x[/tex]If we subtract 8, we have [tex]7x-8[/tex]If this equals 34, we have
[tex]7x-8=34[/tex]
Add 8 to both sides:
[tex]7x=42[/tex]
Divide both sides by 7:
[tex]x=6[/tex]
Cw 10. _______thanks
Answer:
Refer to Step-by-step
Step-by-step explanation:
1. Circle P
Because the name of the circle is named by the central point of the circle.
2. Radius AP or PB
The radius is the measurement of the center of the circle to the circumference of the circle.
3. Chord DE
A chord is a line segment where both endpoints lie on the circle.
4. Diameter AB
The diameter is a line segment that goes straight across the center of a circle and the endpoints reach the circumference of the circle.
5. 12.73ft
[tex]d = \dfrac{C}{\pi }[/tex]
[tex]d = \dfrac{40}{\pi }[/tex]
[tex]d=12.73ft[/tex]
6. 4.97m
[tex]d = \dfrac{C}{\pi }[/tex]
[tex]d = \dfrac{15.62}{\pi }[/tex]
[tex]d = 4.97m
[/tex]
7. 132.7cm
[tex]a^{2}+b^{2} =c^{2}[/tex]
a = 5 cm
b = 12 cm
c = ?
[tex]5^{2}+12^{2} =c^{2}[/tex]
[tex]25+144=c^{2}[/tex]
[tex]c^{2}=169[/tex]
[tex]\sqrt{c^{2}}=\sqrt{169}[/tex]
[tex]c=13cm[/tex]
r = diameter/2
r = 13cm
r = 6.5cm
[tex]C=\pi r^{2}[/tex]
[tex]C=\pi 6.5^{2}[/tex]
[tex]C=132.7cm[/tex]
8. 128.7in
[tex]a^{2}+b^{2} =c^{2}[/tex]
a = 9in
b = 9in
c = ?
[tex]9^{2}+9^{2} =c^{2}[/tex]
[tex]81+81=c^{2}[/tex]
[tex]c^{2}=162[/tex]
[tex]\sqrt{c^{2}}=\sqrt{162}[/tex]
[tex]c=12.7in[/tex]
r = diameter/2
r = 12.7in/2
r = 6.4in
[tex]C=\pi r^{2}[/tex]
[tex]C=\pi 6.4^{2}[/tex]
[tex]C=128.7in[/tex]
Before we proceed, let's solve for the missing arcs UT, PQ, and RQ
Arc UT = 180° - (40° + 40° + 50°)
Arc UT = 50°
Now since Arc PQ is half of the diameter, then:
Arc PQ = 90°
The same applies for Arc QR
Arc QR = 90°
9. 275°
Arc UPQ = 40°+50°+180°
Arc UPQ = 275°
10. 90°
Arc UTS = 50°+40°
Arc UTS= 90°
11. 140°
Arc RSU = 50°+40°+50°
Arc RSU = 140°
12. 270°
Arc PQS = 40°+50°+180°
Arc PQS = 270°
13. 180°
Arc PQR = 90° + 90°
Arc PQR = 180°
14. 50°
15. 130°
Arc STP = 40°+50°+40°
Arc STP = 130°
16. 320°
Arc PRU = 180° + 50° + 40° + 50°
Arc PRU = 320°
what two prime numbers total 31
Answer:
2, 29
Step-by-step explanation:
The prime numbers are 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89, and 97.
7814/12 in a mixed number
Here is your answer 651 2/12
hope this helps.
Please mark me as brainliest.
Answer:
651 2/12
Step-by-step explanation:
Solve: 25x^2 - 36 = 0
A.) x = 6, 5
B.) x = -6, -5
C.) x = 36/25, x = -36/25
D.) x = 6/5, x = -6/5
Answer: 6/5 and -6/5
Step-by-step explanation: In order to solve this problem, we want to get the variable on one side. In order to do that, we must do the following:
Add 36 on Both Sides:
[tex]25x^2 - 36+36 = 0+36[/tex]
Divide 25 on Both Sides:
[tex]\frac{25x^2}{25}= \frac{36}{25}[/tex]
Take the square root of Both Sides:
[tex]\sqrt{x^2} = \sqrt{\frac{36}{25} }[/tex]
That means your answer is:
[tex]x = \frac {6}{5}[/tex], or [tex] -\frac {6}{5} [/tex]
What is the total area! Pls help! Formula: A=1/2bh for triangle and A=bh for rectangle! Ty!
farriah found out that 54 students in the 7th grade have older siblings. there are 81 students in the 7th grade. what is the ratio of students with older siblings in the 7th grade? ( answer choices A. 2:1 B. 2:3 C. 1:27 D. 7:27 )
Answer: 2:1
Step-by-step explanation:
[tex]xy + x + y = 11 \\ x {}^{2}y + xy {}^{2} = 30[/tex]
find x & y
I think the answer is 2 and 3.
x=1,2,3,5
y=5,3,2,1
Step-by-step explanation:see the image
What is the slope shown below?
Answer:
A
Step-by-step explanation:
To calculate the slope m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 7) and (x₂, y₂ ) = (9, 1) ← 2 points on the line
m = [tex]\frac{1+7}{9+3}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]
The equation for a parabola with directrix y = –p and focus (0, p) is:
Answer:
[tex]y=\frac{1}{4p}x^{2}[/tex]
Step-by-step explanation:
∵ The directrix is y = -p
∵ The focus is (0 , p)
∵ (x , y) is a general point on the parabola
∵ The distance between (x , y) and the directrix = the distance
between (x , y) and the focus
By using the rule of distance:
∵ (y - -p)² = (x - 0)² + (y - p)²
∴ (y + p)² = x² + (y - p)²
∴ y² + 2py + p² = x² + y² - 2py + p²
∴ 2py + 2py = x²
∴ 4py = x² ⇒ ÷ 4p in both sides
∴ [tex]y=\frac{1}{4p}x^{2}[/tex]
If ec bisects are congruent to bed find m bed ..??
Answer:
m<BED = 136 deg
Step-by-step explanation:
Since ray EC bisects <BED, angles BEC and CED are congruent. That means their measures are equal. Set the measures equal to each other, and solve for x.
11x + 2 = 8x + 20
Subtract 8x from both sides.
3x + 2 = 20
Subtract 2 from both sides.
3x = 18
Divide both sides by 3.
x = 6
Now we use the value of x to find the measure of angle BED.
The measure of angle BED is twice the measure of angle BEC. We know that x = 6.
m<BED = 2m<BEC = 2(11x + 2) = 2(11 * 6 + 2) = 2(66 + 2) = 2(68) = 136
I need to know what this means
Answer: (5n - 8)(n² - 3)
Step-by-step explanation:
You can factor this using the Grouping Method (hint: rearrange the terms)
5n³ - 8n² - 15n + 24
= 5n³ - 15n -8n² +24
= 5n(n² - 3) -8(n² - 3)
= (5n - 8)(n² - 3)
Water has a density of about 0.0361 pounds/cubic inch. You might know that wood floats on water. What can you conclude about the densities of objects that float and the densities of objects that do not?
Answer:
Step-by-step explanation:
Objects that float on water have densities less than the density of water; those that do not float on water have densisties greater than the density of water:
Float on water: d < 0.0361 lb/in³ (where d denotes denisity)
Do not float on water: d > 0.0361 lb/in³
The densities of objects that float on water are lower than those of objects that don't float.
What is density?It is defined as the mass-to-volume ratio. The density indicates the object's density and is represented by the symbol. The density is measured in kilograms per cubic meter.
We have:
Water has a density of about 0.0361 pounds/cubic inch.
Let d be the density:
Float on water: d < 0.0361 lb/in³
Do not float on water: d > 0.0361 lb/in³
The densities of objects that float on water are lower than those of objects that don't, which have densities higher than those of water.
Thus, the densities of objects that float on water are lower than those of objects that don't float.
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