MATHEMATICS HIGH SCHOOL

The graph of the linear equation 3x + 5y
= 15 cuts the x-axis at the point ________.​

Answers

Answer 1
Answer:

Answer:

(0,5)

Step-by-step explanation:

3x-5y=15

Plug in 0 for y, because we are trying to find the value of x, when y is 0

so, 3x-5(0)=15

3x=15     Divide both sides by 3

x=5

so the answer in coordinate form is (0,5)

Related Questions

Solve for x and y3x + 2y = 167x + y = 19(-2,-5)(-2,5)(2,5)(2,-5)
What is the value of x in the equation 3x – 4y = 65, when y = 4?
What is 2.2 as an improper fraction
The sales tax on a new camera is $5.60, which is 8% of the total price.What is the price of the camera?
-3/2 multiplied by 3?

Subtract 8.263 from 13.48.
A)5.217
B)5.783
C)21.743
D)6.815

Answers

13.48-8.263=5.217 just use a calculator i mean it helps

The measure of an angle is seventeen times the measure of a supplementary angle. What is the measure of each angle?

Answers

The measure of each angle will be 10° and 170°.

A supplementary angle refers to an angle that has the sum to be equal to 180°.

Let the small angle be represented by x

Therefore, the big angle will be: = 17 × x = 17x

Therefore, the value of both angles will be:

x + 17x = 180

18x = 180

Divide both side by 18

18x/18 = 180/18

x = 10

Therefore, the bigger angle will be:

17x = 17 × 10 = 170

Therefore, the angles are 10° and 170°

Read related link on:

brainly.com/question/20286219
supplementary angles are two angles that when add equal 180 degrees.
The supplement of an angle is 180 - n.

n = 17(180 - n)
n = 3060 - 17n
n + 17n = 3060
18n = 3060
n = 3060/18
n = 170

so the unknown angle (n) = 170 degrees and its supplement = (180 - 170 = 10)......= 10 degrees.

Factor completely
16x^2 + 24x + 9

Answers

16x^2+24x+9=(4x)^2+2(4x)(3)+3^2=(4x+3)^2=(4x+3)(4x+3)



16x^2+24x+9=16x^2+12x+12x+9=4x(4x+3)+3(4x+3)\n\n=(4x+3)(4x+3)
16x^2 + 24x + 9 =\n (4x+3)^2

What is the difference between comparing two things and contrasting two things?

Answers

when you compare 2 things you see whats alike but when you contrast 2 things your seeing whats diffrent

Answer:

When you compare two things you see whats alike but when you contrast two things your seeing whats different.

Which shows a correct order to solve this story problem? Gina used 3.2 ounces of strawberry jelly and 4.7 ounces of raspberry jelly in her recipe. She made the same recipe 4 times.

How much jelly did Gina use altogether?

A.
Step 1: Add the weights of the two jellies.
Step 2: Divide that sum by 4.

B.
Step 1: Subtract the weight of the strawberry jelly from the raspberry jelly.
Step 2: Multiply that difference by 4.

C.
Step 1: Add the weights of the two jellies.
Step 2: Multiply that sum by 4.

D.
Step 1: Subtract the weight of the strawberry jelly from the raspberry jelly.
Step 2: Divide that difference by 4.

Answers

Answer is C

3.2 oz + 4.7oz = 7.9 oz * 4 = 31.6oz total

I am a little confused: One method you can use to determine whether a triangle is a right triangle, given three side lengths, is to apply the converse of the Pythagorean Theorem. Alternately, you can use trigonometric ratios. Show that the triangle in the diagram is a right triangle by using trigonometric ratios. ( Be sure to show all work/and or reasoning.

Answers

Answer with explanation:

The triangle in the Diagram Described has following measurement:

 Longest Side = 65 units

One side which can be either Perpendicular or base = 63 units

And , other side which can be also, either Perpendicular or base = 16 units

We can prove that the triangle described is right triangle by two ways.

1. Using Converse of Pythagorean Theorem

Square of Longest side = Sum of Squares of other two sides-----(1)

So, Square of Longest Side =  65²=4225

Sum of Square of other two sides = 16² + 63²

                                        = 256 + 3969

                                        =  4225

Statement (1), is valid.

So,Triangle is right angled triangle, right angled at A.

2. using Trigonometric Ratios

Suppose the triangle is right Angled at A.

In Right triangle B AC

tan B=\frac{\text{Perpendicular}}{\text{Base}}\n\ntan B=(16)/(63)\n\ntan C=(63)/(16)\n\n tan(B +C)=(tan B + tan C)/(1-tan B * tanC)\n\ntan (B +C)=((16)/(63)+(63)/(16))/(1-(16)/(63)* (63)/(16))\n\ntan (B +C)=\frac{\text{Any rational number}}{0}\n\ntan (B +C)=\infty\n\nB +C=90^(\circ)\n\n \text{Using the trigonometric Identity},tan(A+B)=(tan A +tan B)/(1-tan A*tan B)

B +C =90°

Also,→ ∠A + ∠B + ∠C=180°≡ (Angle sum property of triangle)

→∠A +90°=180°

→∠A=180° -90°

→∠A=90°

So, triangle is right Angled triangle , Right angled at A.

Hence ,proved.
Trigonometric ratios are sine, cosine, and tangent (opposite side over hypotenuse, adjacent side over hypotenuse, and opposite side over adjacent side, respectively); if you wanted to prove that one of the angles of the triangle is 90º, then the cosine of that angle would be 0, the sine would be 1, and the tangent would be undefined. 
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