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2 years ago

PLEASE NEED HELP WITH A-D

Mathematics

2 answers:

Mnenie [13.5K]2 years ago

8 0

A.
4(d+3c)

b.
6(3x+5y)

c.
7(3a+4y)

d.
8(3f + 7g)

Fudgin [204]2 years ago

4 0

Hello there! I can help you! For this question, we write this in distributive property by finding the GCF of both terms. As far as we see for all 4 of them, there are no like variables, and we find the GCF, just like we would for constants. When you find the GCF, be sure to divide each terms by the GCF, and then place the GCF outside the parenthesis. If you solve this correctly, here are your answers:

a. 4(a + 3e)

b. 6(3x + 5y)

c. 7(3a + 4y)

d. 8(3f + 7g)

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Heather was asked to graph 3x - y = -4 by using slope and y-intercept. Her graph is shown.

irakobra [83]

Hello! The y-intercept is (0, 4), because the line crosses 0 in the x-axis at that point. We can cross out C and D, because those don't show that. The slope is rise/run. You would go up 3, and go to the right once. If you need to, solve for slope by doing y2 - y1/ x2 - x1. Let's use the point (0, 4) and (1, 7) as an example. We would set it up like this: 7 - 4 / 1 - 0. Solving that would give us 3/1 or just simply three. The slope is positive 3 and the y-intercept is (0, 4). The answer is A.

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3 years ago

Find the equation of the line that passes through the points (-4,-2) and (-3,5) in both point-slope form and

kaheart [24]

<h2>Answer:</h2>

First, we must determine the slope, then we find the y-intercept using slope formula and slope-intercept form.

For slope:

$m = \frac{5 + 2}{-3 + 4} = \frac{7}{1} = 7$

Slope (m) = 7

For y-intercept:

$5 = 7(-3) + b\\\\5 = -21 + b\\\\26 = b$

Y-intercept (b) = 26

Using this information, we can now create the equations for this line.

$y= 7x + 26\\\\y - 5 = 7(x + 3)$

Formulas:

Slope formula: y₂ - y₁/x₂ - x₁

Slope-intercept form: y = mx + b

Point-slope form: y - y₁ = m(x - x₁)

*Note: (x₁, y₁), (x₂, y₂) = 2 points on the line

6 0

2 years ago

Juan bought a box of laundry soap that weighed 15.6 pounds. One 0.15-pound scoop of soap is enough to wash a regular load of lau

Alecsey [184]

Answer:

Quantity of soap left after Juan washes 8 regular loads and 5 heavy loads of laundry $=12.9$ pounds.

Step-by-step explanation:

Number of scoop of soap used to wash a regular load of laundry = One 0.15 pound scoop

Number of scoops of soap used to wash heavy work clothes = Two 0.15 pound scoops

As Juan washes 8 regular loads and 5 heavy loads of laundry,

Total quantity of soap used = $8(0.15)+5(2)(0.15)=1.2+1.5=2.7$ pounds

As a box of laundry soap weighed 15.6 pounds,

quantity of soap left after Juan washes 8 regular loads and 5 heavy loads of laundry $=15.6-2.7=12.9$ pounds.

8 0

3 years ago

The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the trian

natita [175]

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = $\frac{1}{2}$ , then

sin30° = $\frac{opp}{hyp}$ = $\frac{opp}{19}$ = $\frac{1}{2}$ ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

6 0

3 years ago

True or False? The graph of sine can be used to construct the graph of the secant function.

amid [387]

True

Note that:

$secant \theta = \frac{1}{cos\theta}$

The graph of sine and cosine functions are very similar. They only have a shift in the x -axis.

That is, sin x = cos (90 - x)

Since there is a great similarity between the sine and cosine graphs, and the secant graph is an inverse of the cosine graph, the graph of sine can be used to construct the graph of the secant function

Mathematically:

since sec x = 1 / cos x

and, cos x = sin (90 - x)

therefore, sec x = 1 / sin (90 - x)

The graphs of the sine and secant functions are attached to this solution

Learn more here: brainly.com/question/9554579

5 0

3 years ago