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VikaD [51]
4 years ago
10

Which value is a solution to the inequality 2x − 5 < −12?

Mathematics
1 answer:
aleksandr82 [10.1K]4 years ago
8 0
The correct answer would be -4

explanation:
2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4.
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Find the surface area of the triangular prism.<br> 5 ft<br> 5 ft<br> 13 ft<br> 4 ft<br> 6 ft
lutik1710 [3]

Answer:

234ft²

Step-by-step explanation:

Surface of the triangular prism

= ab+3bh

= (6ft×13ft)+(3×13ft×4ft)

= 78ft²+156ft²

= 234ft²

Hence, the surface area of the given triangular prism is 234ft².

8 0
3 years ago
Yoshi's garden three fourths of the flowers are tulips of the two thirds are yellow what fraction of the flowers in Yosi's garde
Alex_Xolod [135]
So if yosh has a garden with 3/4 of the flowers are tulips and 2/3 are yellow if you subtract 3/4 from 2/3 then you will get the awnser that you are looking for. Which is 1/12.
6 0
4 years ago
Please help, the question below
Licemer1 [7]

Answer:

\sf R=\left(3, -\dfrac{5}{4}\right)

Step-by-step explanation:

Given:

  • P = (1, 5)
  • Q = (-2, 3)
  • R = (a, b)
  • R lies on line x = 3
  • PR = QR

If point R lies on the line x = 3, then the x-value of point R is 3.

⇒ a = 3

<u />

<u>Distance between two points</u>

\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

(where (x₁, y₁) and (x₂, y₂) are the two points)

Use the <u>distance formula</u> to derive equations for PR and QR.

Let (x₁, y₁) = P = (1, 5)

Let (x₂, y₂) = R = (3, b)

\begin{aligned} \sf PR & =\sf \sqrt{(3-1)^2+(b-5)^2}\\ & = \sf \sqrt{4+(b-5)^2} \end{aligned}

Let (x₁, y₁) = Q = (-2, 3)

Let (x₂, y₂) = R = (3, b)

\begin{aligned} \sf QR & =\sf \sqrt{(3-(-2))^2+(b-3)^2}\\ & = \sf \sqrt{25+(b-3)^2} \end{aligned}

As PR = QR, equate the derived equations and solve for b:

\begin{aligned} \sf PR & = \sf QR \\\sf \sqrt{4+(b-5)^2} & = \sf \sqrt{25+(b-3)^2}\\\sf 4+(b-5)^2 & = \sf 25+(b-3)^2\\\sf 4+b^2-10b+25 & = \sf 25 + b^2-6b+9\\\sf b^2-10b+29 & = \sf b^2 -6b +34\\\sf -10b+29 & = \sf -6b + 34\\\sf -4b & = \sf 5\\\sf b & = -\dfrac{5}{4}\end{aligned}

Substitute the found values of a and b to find the coordinates of R:

\sf R=(a,b)=\left(3, -\dfrac{5}{4}\right)

Learn more about the distance formula here:

brainly.com/question/28144723

8 0
2 years ago
Read 2 more answers
If you multiply an inequality by a positive number _____.
olga nikolaevna [1]
Keep the inequality sign the same
7 0
3 years ago
Read 2 more answers
90 points!!! Algebra - Please check these
Korvikt [17]

First picture:

2 and 7 are alternate exterior angles, which when added together need to equal 180 degrees.

Angle 7 = 180 - 146 = 34

Answer is B.34

Second picture:

Angle 8 = 48

Angle 8  + angle 7 = 180

Angle 7 = 180 - 49 =  131

Angle 5 and angle 7 are vertical angle, so angle 5 = angle 7 = 131

Angle 6 is a vertical angle to angle 8 so = 49

Angle 1 = angle 5 = 131

Angle 2 = angle 6 = 49

Angle 3 = angle 7 = 131

Angle 4 = angle 8 = 49

4 0
3 years ago
Read 2 more answers
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