Answers
Answer:
ST=32
Step-by-step explanation:
We know the two sides are equal, so first solve for p.
9p-4=4p+16
9p-4p=16+4
5p=20
p=4
Now subsitute p back in for ST
9(4)-4=32
Related Questions
Find the distance from point A(-1/4,5) to the line -x+2y=14. Round your answer to the nearest tenth.
Answers
Answer:
The distance from A(-1/4, 5) to the line -x + 2·y = 14 is approximately 1.7 units
Step-by-step explanation:
The shortest distance from a point to a line is the perpendicular from the line to the point
The equation of the given line is -x + 2·y = 14, which can be written in slope and intercept form as follows;
-x + 2·y = 14
2·y = 14 + x
y = 14/2 + x/2 = x/2 + 7
y = x/2 + 7
The slope, m₁ = 1/2 and the y-intercept = 7
Therefore, the slope, m₂, of the perpendicular line to the line -x + 2·y = 14 which was rewritten as y = x/2 + 7 is m₂ = -1/m₁ = -1/(1/2) = -2
Therefore, we have that the slope of the line from A(-1/4, 5) to the line -x + 2·y = 14, is -2
The equation of the line is therefore;
y - 5 = -2(x - (-1/4))
y - 5 = -2·x - 1/2
y = -2·x - 1/2 + 5 = -2·x + 9/2
y = -2·x + 9/2
The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is therefore given as follows;
-2·x + 9/2 = x/2 + 7
9/2 - 7= x/2 + 2·x
-2.5 = 2.5·x
x = -2.5/2.5 = -1
x = -1
y = x/2 + 7 = -1/2 + 7 = 6.5
y = 6.5
The coordinates of the point on the line -x + 2·y = 14 (y = x/2 + 7) that coincides with the perpendicular from the point A(-1/4, 5) is (-1, 6.5)
The distance from A(-1/4, 5) to B(-1, 6.5), is given as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Where;
(x₁, y₁) = (-1/4, 5), and (x₂, y₂) = B(-1, 6.5)
Plugging in the values, we have;
[tex]l_{AB} = \sqrt{\left (6.5-5 \right )^{2}+\left ((-1)-(-1/4) \right )^{2}} = \sqrt{\left (-0.75 \right )^{2}+\left (1.5 \right )^{2}} = \sqrt{\dfrac{45}{16} } = \dfrac{3}{4} \cdot \sqrt{5}[/tex]
[tex]l_{AB} = \dfrac{3}{4} \cdot \sqrt{5} \approx 1.677[/tex]
Therefore, the distance from A(-1/4, 5) to the line -x + 2·y = 14 ≈ 1.7 units, rounding to the nearest tenth.
Answer:
Step-by-step explanation: no work shown?
Find the slope of the line below. *
Answers
Answer:
-2
Step-by-step explanation:
What is the measure of JKL
Answers
Answer:
Did you insert a picture because I cant see one
-0.6 repeating terminating or neither
Answers
Answer:
Repeating.
Step-by-step explanation:
nya wants to hang a a 4 feet and 4 inches above the floor. how many inches above the floor dose she want to hang the picture?
Answers
Answer:
52 feet long. i think... you might wany to double check that
Determine the slope for each side of the polygon.
The slope of side wis
The slope of side z is
The slope of side x is
The slope of side y is
Answers
Answer:
Slope W is 1/4, Slope Z is -4, Slope X is 1/4, Slope Y is -4
Step-by-step explanation: just did on edg and got it right
I will mark as brainliest if i figure out how to, if I get a answer. Sorry for the way my teacher wrote this idk if she was high or something-
Matt has a total of $650.00 in his bank account.
If he earns 15% interest every year,
how long will he have to leave his money in the account
to earn $195.00 in interest? SI= prt
$195= 650 (.15) t
put in #s $195= 97.5 t
Solve for t , by dividing both sides by 97.5 ------ = -------
97.5 97.5
_______= time in years
Answers
Answer:
2 years
Step-by-step explanation:
This is simple interest: i = p*r*t, where p is the principal, r is the annual interest rate as a decimal fraction and t is the number of years. Here:
i = $195.00 = ($650.00)(0.15)t, or
$195.00
t = ------------------------ = 2 years
(0.15)($650.00)
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6,
step by step u get 13 points
Answers
Answer:
3
Step-by-step explanation:
-33+9=-24
-24+9=-15
-15+9=-6
-6+9=3
Answer:
3, 12, 21
Step-by-step explanation:
-33+9=-24
-24+9=-15
-15+9=-6
-6+9=3
3+9=12
12+9=21
Look at the area models.
What is the product of the fractions represented by
these two area models?
Answers
Answer:
4/25
Step-by-step explanation:
Point P'(-3, 2) is the image of point P(3, 8) under a translation. What is the image of (0, -6) under the
same translation?
Answers
Answer:
The image of the point (0, -6) under the same translation is (-6, -12)
Step-by-step explanation:
Let us revise the rules of translation
If the point (x, y) translated horizontally to the right by h units then its image is (x + h, y) ⇒ T (x, y) → (x + h, y)If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically up by k units then its image is (x, y + k)→ (x + h, y) ⇒ T (x, y) → (x, y + k)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)∵ The coordinate of point P are (3, 8)
∵ The coordinates of its image P' are (-3, 2)
→ The x-coordinate is changed from 3 to -3, that means the point
translated to the left by h units
∵ h = -3 - 3
∴ h = -6
→ The y-coordinate is changed from 8 to 2, that means the point
translated down by k units
∵ k = 2 - 8
∴ k = -6
→ By using the rule above
∴ The rule of translation is (x, y) → (x - 6, y - 6)
∵ The coordinates of the point are (0, -6)
∴ The coordinates of its image are (0 - 6, -6 - 6)
∴ The coordinates of its image are (-6, -12)
four equal circles are described about the corner of a square so that each touch the two of the other. find the area of the part of the square enclosed by the circle is the side of a square 14cm.
those who give me answers I give you 100 points and mark as brainlist answers
Answers
Answer:
42.06cm²
Step-by-step explanation:
Answer:
42.06cm²
Step-by-step explanation:
I can't find the tape diagram from my work but I know is 42.06cm²
Thank you
The number of chirps per minute, C, that the tree cricket makes is linearly dependent on the temperature, T, in Fahrenheit. The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute. A) Express the number of chirps, C, in terms of the temperature, T. C= B) How many chirps per minute will crickets make at 90 degrees? chirps per min.
Answers
Answer:
The answer is below
Step-by-step explanation:
A linear equation is represented by the equation y = mx + b, where m is the rate of change, b is the value of y at x = 0, y is a dependent variable and x is an independent variable.
a) Given that number of chirps per minute, C is dependent on the temperature, T, when T = 45 degrees, C = 0, this can be represented as (45, 0).
Also at 75 degrees, C = 126 it can be represented as (75, 126).
Using (45, 0) and (75, 126), we can determine the equation of the line from:
[tex]C-C_1=\frac{C_2-C_1}{T_2-T_1}(T-T_1)\\ \\C-0=\frac{126-0}{75-45}(T-45)\\ \\C=4.2(T-45)\\\\C=4.2T-189\\\\[/tex]
b) At t = 90°:
C = 4.2(90) - 189
C = 189 chirps per min
a. The expression of the number of chirps should be C = 4.2T - 189
b. The number of chirps per minute should be 189 chirps per min.
Calculation of an expression & number of chirps:Since The crickets do not chirp at all at 45 degrees and at 75 degrees they chirp about 126 times per minute.
So, here we used (45, 0) and (75, 126), we can measure the equation of the line from
[tex]C- C_1 = \frac{C_2-C_1}{T_2-T_1} (T_2 - T_1)\\\\C- 0 = \frac{126-0}{75-45} (T - 45)\\\\[/tex]
C = 4.2(T - 45)
C = 4.2T - 189
b. When T = 90 degrees
So,
C = 4.2(90) - 189
= 189 chirps
Learn more about temperature here; https://brainly.com/question/18250055
what does 256 to the power of 0 equal too?
Answers
Answer:
1
Step-by-step explanation:
Anything to the power of 0 is 1
Hope I helped :)
Please consider Brainliest :)
May anyone please help me?
Answers
Answer:31
Step-by-step explanation:
k(10)=-3(10)+1
10k=31
k=3.1
3.1(10) =31
Slope of a vertical line that goes through the point (6,-5)
Answers
Calculate the full perimeter of a semicircle with a diameter 8cm. Round to 1 decimal place.
Answers
Answer:
20.6
Step-by-step explanation:
20.5664 = 20.6
Answer:
20.6 cm
Step-by-step explanation:
First find the circumference of a semicircle with diameter 8 cm
C = 1/2 ( pi d)
C = 1/2 ( 3.14 * 8)
C = 12.56cm
Then add the diameter to close the circle
12.56+8 = 20.56 cm
Round to 1 decimal place
20.6 cm
Will do a brainly! 4/7=18/31.5
Answers
Answer:
True
Step-by-step explanation:
4 ÷ 7 = 0.571418 ÷ 31.5 = 0.5714Because they are the same result, the two fractions are equal. Therefore, the equation is true.I hope this helps!
Whats does d = in the equation 38 = 3d - -8
Answers
Answer:
D=10
Step-by-step explanation:
38=3d -(-8)
38=3d+8
38-8=3d+(8-8)
30=3d
30/3=3d/3
10=d
=3d+
What are the three ways to solve the system of equations.
A) Graphing
B) Substitution
C) Elimination
D) Graphing, Substitution, and Elimination
Answers
Answer:
D
Step-by-step explanation:
graphing substitution and elimination
You want to order Chiken nuggets for you and your friends . You want to know how much to pay for 5 orders of chicken nuggets if each order is$2
Answers
Answer:
10$
Step-by-step explanation:
just because
Answer:
$10
Step-by-step explanation:
What we know: you want to pay for 5 order of chicken nuggets.
Each order is $2
So...
5 orders of nuggies × $2
Total: $10 for nuggies
uating an Expression Evaluate –32 + (2 – 6)(10).
Answers
Answer:
-72
Step-by-step explanation:
-32+(2-6)(10)
-32+(-4)(10)
-32+(-40)
-72
Answer:
its -49
Step-by-step explanation:
i got it right on edge 2021
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30
cm, find its length. Also find the area of the rectangle.
Answers
Answer:
The length is 35cm and the area is 1050cm^2
Step-by-step explanation:
The perimeter of a rectangle is all of the side lengths added together. "Breadth" is your width. So 2 x 30 + 2 x some length is your perimeter. Mathematically this can be represented as:
[tex]60+ 2x=130[/tex]
[tex]2x=70[/tex]
[tex]x=35[/tex]
For the area multiply 30 by 35
[tex]30*35=1050[/tex]
And your answer for the area is in cm^2
what is the answer to this question
Answers
Answer:
F
Step-by-step explanation: c=0.10m+30
Plzz give me brainliest
Completa las siguientes sucesiones y encuentra su regla general. a) -4, -2, 0, ___, ___,... b) -15, -10, ___, ___,... Y su regla general de todas. Por favor ya había dicho que no se muy bien, Por favor es urgente
Answers
La sucesión es geométrica ya que cada término se obtiene multiplicando el anterior por una cantidad constante (llamada razón), en este caso 1/2
1 * 1/2 = 1/2
1/2 * 1/2 = 1/4
1/4 * 1/2 = 1/8
La fórmula general en este tipo de sucesiones es?aₙ = a₁ * r ⁿ⁻¹
Donde
aₙ es un término dentro de fórmula general
a₁ es el primer término
r es la razón de la sucesión
n es el índice del término
Con la fórmula podemos obtener los términos que faltan
Término 5
a₅ = 1 * 1/2 ⁵⁻¹
a₅ = 1 * 1/2 ⁴
a₅ = 1 * 1/16
a₅ = 1/16 ======> término 5
Término 8
a₈ = 1 * 1/2 ⁸⁻¹
a₈ = 1 * 1/2 ⁷
a₈ = 1 * 1/128
a₈ = 1/128 =========> término 8
Término 9
a₉ = 1 * 1/2 ⁹⁻¹
a₉ = 1 * 1/2 ⁸
a₉ = 1 * 1/256
a₉ = 1/256 =======> término 9
Study more about GP on https://brainly.com/question/29399287
#SPJ1
The graph shows the savings in Andres bank account what is the slope of the line
Answers
(14, -8 ) and (7, -6)
Answers
Answer:
-0.28
Step-by-step explanation:
(-6)-(-8)=2.
7-14=-7
2/-7=-0.28
Mikael runs with a speed of 3 m/s for 45 seconds. How far does Mikael run?
Answers
Answer:
135 meters
Step-by-step explanation:
Find the exact value for csc225°
Answers
Answer:
[tex]-\sqrt2[/tex]
Step-by-step explanation:
csc 225 degrees is the multiplicative inverse of sin 225 degrees. sin 225 degrees. We can use a unit circle with radius of 1 to find out sin 225 degrees. a 225 degree rotation counter clockwise is equivalent to a 180 degree turn followed by a 45 degree turn. Therefore, the final value is going to be in the third quadrant, a 45 degree turn in. This means that sin(225 degrees) = [tex]-\sqrt2/2[/tex] The multiplicative inverse of that is [tex]-\sqrt2[/tex]
Tap the angle that is vertical to angle 4
Answers
Answer:
angle four is vertical to angle 2
Answer:
angle 2 is vertical to angle 4
The triangles shown below must be congruent?
Answers
Answer:
True
Step-by-step explanation:
